Pro Wrestling

Ranking All 89 Matches in the G1 Climax 25

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Over the last month, I watched every match in New Japan Pro Wrestling’s annual round-robin tournament, the G1 Climax. This was arguably the undertaking of an insane person. If this is indeed the case, my ranking of every match in the tournament that follows is of little consequence. But for those that have partaken or will partake in G1 Climax 25, I think this may be useful.

The 2015 tournament featured Block A and Block B, each with 10 wrestlers who all faced each other once. That’s nine matches per person, or 90 in total (actually 89 when you discount Shinsuke Nakamua’s injury-based forfeit over Michael Elgin). There were five matches per night, spread over 18 nights. The night a match occurred has been placed in parentheses.

As the tournament progressed, I tried my best to assess how each match ranked in comparison to all the others. This was quite challenging for a number of reasons. First, my frame of mind changed from day-to-day, and even from hour-to-hour. A match I enjoyed on Wednesday night, I might have found dull on a Saturday afternoon. Second, since most of these were watched late at night, I got sleepy during parts, which affected both my immediate perception and…Third, my memory. As I write this, for example, I have no idea what happened in the Kojima vs. Anderson match. The best I could do is recall the feeling I had while watching it. If that didn’t work, I tried to figure out how good the match was relative to Kojima’s other matches, or Anderson’s other matches. Fourth, as impartial as I tried to be, I have my favorites. I am a huge fan of Kota Ibushi and Michael Elgin, for example. On the other hand, NJPW could have axed Hiroyoshi Tenzan and Yujiro Takahashi and my life would have been a better place. These biases have unquestionably crept into this ranking.

Of course, even if I had been able to watch every match with no bias and perfect mental and spiritual clarity, these are still going to be my opinions. I will not argue that my rankings are “correct” and everyone else’s are “garbage”, or any other Internet trolling thing of the sort. If you have AJ Styles vs. Tenzan at #42 rather than #62, hell, you might very well be right. Again, Mike Specian = imperfect.

With those disclaimers out of the way, I have separated the G1 Climax 25 matches into four categories. The first eight matches I deem as “absolute must-see”. Each of these is a legitimate match-of-the-year contender. You should go out of your way to see them. The second category is “don’t miss”. These are all very good to great matches that don’t quite reach the elite level. The third category offers solid efforts that aren’t a waste of your time, but which for the most part were not particularly memorable. The final category is the bottom-of-the-barrel fare. While there is some decent stuff in there, we only have so many hours in the day so…prioritize, I guess.

 

Match-of-the-Year Candidates

  1. Tanahashi vs. AJ Styles (17)
  2. Tanahashi vs. Ibushi (1)
  3. Ibushi vs. AJ Styles (5)
  4. Tanahashi vs. Shibata (13)
  5. Ishii vs. Elgin (18)
  6. Naito vs. Ibushi (11)
  7. Shibata vs. Ibushi (7)
  8. Elgin vs. Goto (16)

Excellent

  1. Goto vs. Ishii (14)
  2. Nakamura vs. Goto (10)
  3. Goto vs. Okada (8)
  4. AJ Styles vs. Shibata (1)
  5. Nakamura vs. Okada (18)
  6. Anderson vs. Elgin (14)
  7. Naito vs. Tanahashi (5)
  8. Shibata vs. Naito (3)
  9. Okada vs. Ishii (12)
  10. Okada vs. Honma (4)
  11. Nakamura vs. Ishii (8)
  12. AJ Styles vs. Bad Luck Fale (15)
  13. Takahashi vs. Honma (18)
  14. Okada vs. Takahashi (14)
  15. Elgin vs. Honma (8)
  16. Ishii vs. Nagata (10)
  17. Naito vs. AJ Styles (7)

Pretty Good

  1. Honma vs. Ishii (16)
  2. Shibata vs. Makabe (5)
  3. Nagata vs. Kojima (14)
  4. Nakamura vs. Honma (14)
  5. Okada vs. Nagata (16)
  6. AJ Styles vs. Yano (3)
  7. Okada vs. Elgin (2)
  8. Anderson vs. Honma (12)
  9. Ishii vs. Anderson (5)
  10. Ibushi vs. Makabe (17)
  11. Okada vs. Anderson (10)
  12. Goto vs. Honma (6)
  13. Anderson vs. Nakamura (2)
  14. AJ Styles vs. Makabe (11)
  15. Nagata vs. Goto (18)
  16. Tenzan vs. Shibata (15)
  17. Yano vs. Shibata (11)
  18. Bad Luck Fale vs. Tanahashi (7)
  19. Kojima vs. Elgin (4)
  20. Anderson vs. Nagata (8)
  21. Tanahashi vs. Yano (9)
  22. Tanahashi vs. Makabe (15)
  23. Gallows vs. Naito (15)
  24. Yano vs Tenzan (5)
  25. Tanahashi vs. Tenzan (3)
  26. Nakamura vs. Nagata (4)
  27. Tenzan vs. Naito (17)
  28. Makabe vs. Gallows (13)
  29. Elgin vs. Nagata (12)
  30. Nakamura vs. Kojima (16)
  31. Okada vs. Kojima (6)
  32. Elgin vs. Takahashi (10)
  33. AJ Styles vs. Tenzan (13)
  34. Makabe vs Naito (9)
  35. AJ Styles vs. Gallows (9)
  36. Kojima vs. Anderson (18)
  37. Naito vs. Bad Luck Fale (1)
  38. Naito vs. Yano (13)
  39. Gallows vs. Yano (7)
  40. Ibushi vs. Tenzan (9)
  41. Takahashi vs. Kojima (8)
  42. Shibata vs. Bad Luck Fale (9)
  43. Nakamura vs. Takahashi (12)
  44. Bad Luck Fale vs. Gallows (5)

Decent to “Just There”

  1. Bad Luck Fale vs. Makabe (3)
  2. Makabe vs. Yano (1)
  3. Anderson vs. Goto (4)
  4. Nagata vs. Honma (2)
  5. Ibushi vs. Gallows (3)
  6. Takahashi vs. Nagata (6)
  7. Goto vs. Kojima (12)
  8. Gallows vs. Shibata (17)
  9. Yano vs. Ibushi (15)
  10. Yano vs. Bad Luck Fale (17)
  11. Tanahashi vs. Gallows (11)
  12. Bad Luck Fale vs. Ibushi (13)
  13. Makabe vs. Tenzan (7)
  14. Kojima vs. Honma (10)
  15. Anderson vs. Takahashi (16)
  16. Ishii vs. Takahashi (4)
  17. Ishii vs. Kojima (2)
  18. Goto vs. Takahashi (2)
  19. Tenzan vs. Gallows (1)
  20. Bad Luck Fale vs. Tenzan (11)
Pro Wrestling

Ring of Honor Results, Spoilers and Live Impressions from July 25 TV Taping in Baltimore

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Ring of Honor taped four episodes of TV on Saturday, July 25, 2015 at the William J Myers Pavilion in Baltimore, MD. These tapings come hot off the heels of the Death Before Dishonor iPPV the night before. The crowd was into it. Attendence was about 70% that of the night before. Before the show, the Young Bucks, Moose, and Maria were available for autograph signings and photographs. Ring of Honor did not announce when they would be returning to Baltimore.

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EXECUTIVE SUMMARY: Jay Lethal retained the Television Championship against Hanson, but Roderick Strong, Bobby Fish and Kyle O’Reilly are hot on his tail. The split between Adam Cole and The Kingdom seems official. Cole joined Kyle O’Reilly to reform Future Shock. They couldn’t grab the Tag Team Championsips from The Addiction, though, due to outside interference from Taven, Bennett and Maria. The Young Bucks defeated Roppongi Vice, but the Addiction jumped them afterwards. A big tag team war between the Young Bucks, reDRagon & Adam Cole vs. The Kingdom, the Addiction & Chris Sabin seems likely.

The Briscoes, ACH, War Machine, Moose, and Roderick Strong all picked up wins and gained momentum. Adam Page called out and laid out Jay Brisoce, signaling the start of a feud. Dalton Castle defeated Silas Young, but Silas wants another match where if he wins, he gets Dalton’s Boys. Caprice Coleman defeated Cedric Alexander after Moose interfered. Cheeseburger got revenge on Brutal Bob.

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Dark Match: Mandy Leon beat Deonna Purrazzo.

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EPISODE 1

Match 1: ACH vs. Watanabe – This was ACH’s fast sytle versus Watanabe’s strong style. They meshed well and the crowd was evenly split. ACH won with 450 splash in nine minutes. Solid opener.

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Match 2: The House of Truth (Donovan Dijak & J. Diesel) with Truth Martini vs. War Machine – Jay Lethal was on commentary. This was a hard hitting, War Machine-style match. Their power won out in the end. They threw Dijak out of the ring and hit Fallout on Diesel for the pin in six minutes. Lethal and Hanson yelled at each other after the match to set up their ROH TV Title match later in the evening.

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Match 3: Adam Page (with BJ Whitmer & Colby Corino) vs. G(?) Hughes – Page squashed him in one minute with the Vertebreaker. BJ Whitmer grabbed the microphone to a chorus of boos.

BJ WHITMER

What? You don’t want to hear what I’ve got to say? Well too bad, because I’m the one with the microphone! Adam, that’s exactly what I’m talking about, that right there. This aggressiveness, this mean streak is what’s taking you to the next level. You proved beyond a shadow of a doubt that you are the future of this company when you beat ACH at Death Before Dishonor. And now tonight he comes out and Ring of Honor gives him that ham and egger? Are you ready to make a statement? Are you ready to call out the man?

ADAM PAGE

Jay Briscoe, get out here, get in this ring and man up!

Jay Briscoe was nowhere to be found. BJ antagonized Corino at the announce desk, yelling at him to do his job. Corino stood and removed his jacket, but Nigel McGuinness intervened and forced Corino to the back.

CROWD

Let them fight! Let them fight!

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Match 4: The Kingdom (Matt Taven & Michael Bennett) with Maria vs. reDRagon – Adam Cole was on commentary. This match featured fun, fluid action throughout, as you would expect from these two teams. When Kyle O’Reilly fell deep into the middle rope (like Ambrose does), Bennett struck him in the face from the floor. Taven climbed to the top turnbuckle and with Bennett hit Hail Mary on O’Reilly on the floor. With O’Reilly eliminated, they did the same to Bobby Fish in the ring to earn the pinfall in 14 minutes. Good match!

After the match, the Kingdom attempted another piledriver but Adam Cole stopped them. Michael Bennett asked Cole what he was doing. Kyle O’Reilly stumbles up besides Adam Cole. The men shake hands.

CROWD

Future Shock! Future Shock!

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EPISODE 2

Match 1: Silas Young vs. Dalton Castle – As Castle disrobed, Silas mumbled, “unbelievable”. Dalton immeidately attacked Silas with bad intent. Dalton got the pin in nine minutes with Fair Winds. Fun match!

SILAS

Dalton, I’m getting damn, damn tired of this.

CROWD

Shut up!

SILAS

There ain’t gonna be any shutting up, because I say what I want to say because I’m a real man. I don’t worry if I offend somebody or if they think I’m a bad person. Dalton Castle, I don’t like what you do with these boys. I don’t like your lifestyle that you lead with them. These boys need to learn to be men.

You ain’t good enough to beat me on your own. You ain’t never beat me on your own. So one more shot, and when I beat you, I get those boys.

CROWD

Ooooooo!

SILAS

Believe me I’m gonna beat you. When I beat you those boys are going to be mine and I’m going to teach them how to be real men.

CROWD

Silas wants boys!  Silas wants boys!

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Bobby Fish came out for ringside interview with Kevin Kelly. I couldn’t hear what they were talking about.

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Match 2: Moose (with Stokely Hathaway) vs. Will Ferrara – Moose won in three minutes with the big spear.

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Match 3: Roppongi Vice vs. The Young Bucks – The Bucks won in 13 minutes with More Bang for Your Buck after hitting a bunch of superkicks. This was exactly what you would expect. It was a fun candy car crash with all the usual spots.

After the match, the Addiction with Chris Sabin jumped the Young Bucks from behind. They used atheltic tape to bind Matt Jackson to the top rope while they beat on Nick. They kicked Matt in the face and gut. The Addicition nailed the Indytaker on Nick as Nigel McGuinness looked on disappointed.

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Internet-Exclusive Future of Honor Match – Nuclear Kaasarole (Chase Brown & Peter Kaasa) vs. Punisher Martinez & QT Marshall – This match had a different commentary team. Kaasa is a powerful dude who looks like a smaller Scott Steiner. The man definitely has talent. He performed a fallaway slam/moonsault combination and pinned QT after a senton.

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EPISODE 3

Match 1: The Briscoes vs. The Bloodbound Warriors – Each team wrestled their own style. It was a fun Briscoes match, but nothing beyond that. The Briscoes got the pin in nine minutes after a Froggy Bow.

Adam Page came to the entrance ramp with The Decade.

PAGE

There he is, Jay Brisoce! Two weeks ago I stood in that ring and called you out and you were nowhere to be found.   I don’t know if you’re going deaf or if you’re just stupid. What’s that motto? Man up? Maybe that don’t mean nothing. Maybe you’re another liar.

JAY BRISCOE

Yo, hold up, young boy. Listen to me, no offense brother, but I don’t even know who the hell you are. Hey, hey, pretty boy, I’ll tell you this. If you’re looking for a fight you don’t have to look too far, brother. We can do this right now.

BJ WHITMER

No no no, Jay, you need to pump your brakes. This isn’t going to happen right here, not right now. But I have an idea. How about next week right here on TV we give you the opportunity to man up when you go one-on-one with Adam Page!

JAY BRISCOE

Oh, so that’s your name? Adam Page. Well next week you’re going to get your ass whoopped.

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Match 2: Donovan Dijak (with Truth Martini and J. Diesel) vs Roderick Strong – This match featured a lot of good, back-and-forth strikes. Roddy looked no worse for wear after his 60-minute match the night before. In eight minutes, after trading some fun near falls, Strong hit the double-knee gutbuster/Sick Kick combination for the pin.

Jay Lethal immediately jumped into the ring as Dijak and Diesel held Strong. Lethal trashtalked Roddy, but as he turned his back to go for the Lethal Injection, Roderick fought out. War Machine ran out to support Strong and they run off the House of Truth. Roderick yelled to Lethal, “You can’t beat me!”

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The generic ROH logo appeared on the big screen, which is usually indicitive of a jobber coming out. Instead, we got shocked!

Match 3: Future Shock (Adam Cole & Kyle O’Reilly) vs. The Addiction (“Almighty” Christopher Daniels & Kazarian) for the ROH Tag Team Championships – The crowd popped HUGE when Future Shock came out. The fans remembered! After some back and forth mat wrestling, Future Shock hit the first tag team combo manuevers, indicating that they are still a cohesive unit! Adam Cole began to do the “Adam Cole, bay bay!” pose, but Kyle stopped him so they could pose together and yell, “Future Shock!”

CROWD

Future Shock! Future Shock!

The Addiction worked over Adam Cole. Cole was denied the hot tag, had a small rally, but the Addiction maintained control. Eventually Cole locked Kazarian in the Figure 4. Kazarian reversed it, but O’Reilly jumped on Kazarian and applied the arm bar. Daniels jumped on O’Reilly with a crossface. Creative spot!

Kyle O’Reilly got the hot tag and locked Kazarian in the arm bar. When Daniels tried to break it up, O’Reilly locked him in the ankle lock! Future Shock hit Total Elimination. Kazarian kicked Adam Cole in the groin and suplexed him off the top.

O’Reilly interjected with an arm bar, which prompted The Kingdom to run down to the ring. Matt Taven kicked Kyle in the head, but in a dramatic move O’Reilly managed to get a quick roll-up on Daniels for a LONG count, but Taven was distracting referee Todd Sinclair. Kazarian broke up the pin attempt by kicking O’Reilly in the head. O’Reilly stumbled into the rope where Taven gave him another shot. Kazarian rolled O’Reilly up, grabbed the tights, but only a two count! This is getting really good.

Michael Bennett jumped onto the ring apron and excoriated Todd Sinclair for his slow count. Adam Cole walked over to Bennett and asked, “What are you doing!?” The Addication grabbed Cole and hit a suplex into a double-knee gutbuster for the three count in 13 minutes. Maria held O’Reilly’s leg impeding his ability to break up the pin. Really fun stuff! Well worth watching.

After the match, The Kingdom beat down Kyle O’Reilly which drew out Bobby Fish. Out came the Young Bucks! They went straight after The Addiction and the melee was on! The Bucks hit stereo superkicks and Topes. The Young Bucks and reDRagon cleared the ring. This looks to set up an 8- or 10-man tag with The Addiction, The Kingdom and/or Chris Sabin vs. reDRagon, the Young Bucks and/or Adam Cole.

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EPISODE 4

Match 1: Adam Page (with BJ Whitmer & Colby Corino) vs. Jay Briscoe – Jay Briscoe extended his hand to Adam Page.

PAGE

I’m Adam Page. I’m in the Decade and the Decade doesn’t shake hands.

Page slapped Briscoe in the face. Briscoe laughed and extended his hand again. Page slapped him again and we’re off! This match was wrestled with high intensity. After about a minute, Colby Corino grabbed BJ’s crutch and looked to hit Briscoe with it. Briscoe stalked Colby giving Page enough time to throw a chair in Jay’s face. The referee called for the bell after two minutes, giving the DQ victory to Briscoe.

The Decade filled the ring with chairs. Page gave Briscoe the Vertebreaker on the chairs. Mark Briscoe raced to the ring to drive the Decade off. Jay Briscoe recovered and took the microphone.

JAY BRISCOE

You must have a death wish, boy, because your ass is gonna die.

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Cedric Alexander came to the ring with Veda Scott. His opponent Caprice Coleman followed.

CEDRIC

           (to Caprice)
I am the only man in Ring of Honor to beat Moose…TWICE! Beating you does nothing for me, so we will make our exit. Have a good night. Enjoy the rest of your evening.

COLEMAN

I’m sorry. I apologize. Maybe I should be talking to the one with the most hair on their chest. Hey, Veda! You’re going a great job winning matches for him! You’re doing a great job.

Match 2: Cedric Alexander vs. Caprice Coleman – After a competitive sequence, Veda grabbed Coleman’s ankle. Veda tried to further distract Caprice, which drew out Stokely Hathaway. Stokely grabbed Veda to remove her from ringside, which drew the referee’s attention. On the other side of the ring, Cedric obtained a wrench. Moose ran down and pulled the wrench out of Cedric’s hand. This distracted Cedric just long enough for Coleman to hit a massive top rope leg drop to earn the pin at the eight minute mark. The crowd led a Moose chant.

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Match 3: Brutal Bob Evans vs. Cheeseburger – Bob dominated with Cheeseburger getting in a few hope spots. Bob set up a table on the outside and went to sidewalk slam Cheeseburger throught it from the apron. Cheeseburger floated back into the ring, and struck Bob in the face, driving him through the table! Bob was unable to make the 20 count. Your winner in six minutes is Cheeseburger! Bob’s protestations of “No! No!” elicited a sea of Yes! chants from the crowd.

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Bobby Fish came to the commentator’s table for the main event.

Match 4: Jay Lethal (with Truth Martini) vs. Hanson for the ROH TV Championship – The crowd chanted for both men. After Hanson absolutely pummelled Lethal, Lethal hit a springboard dropkick, sending Hanson to the outside. Lethal hit three Topes sending Hanson over the barricade and into the front row.

Lethal grabbed Hanson’s beard and jumped over the top rope with it. Lethal blocked Hanson’s bronco buster with a foot to the groin. Lethal hit the Macho Man elbow but Hanson kicked out at one. Jay Lethal went for the Lethal Injection, but Hanson sidestepped and went for his own Lethal Injection! It was a little awkward, but he hit the elbow (as opposed to the cutter), which lit up the crowd!

Hanson performed a top rop moonsault but Lethal got his knees up. Lethal went for another Lethal Injection, but Hanson avoided it. Hanson immediately went for a spin kick, but Lethal ducked, hit a massive superkick followed by two Lethal Injections. Your winner in 11 minutes is Jay Lethal. This was another really good match. Jay Lethal is on such a roll lately. Hanson totally held up his end of the match.

Kyle O’Reilly ran to the ring and Bobby Fish joined him on the apron. Lethal held up both titles.

BOBBY FISH

Your day is almost over.

JAY LETHAL

Your day will never come!

Roderick Strong hit the ring. Lethal and Truth bailed.

RODERICK

Count the days. I’m going to embarrass you, Jay.

BOBBY FISH

        (to Lethal)
You are not a finisher!

JAY LETHAL

I am the greatest!

Pro Wrestling

Ring of Honor Results, Spoilers and Live Impressions from March 8 TV Taping in Baltimore

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Ring of Honor was live at the William J. Myers Pavilion in South Baltimore on Saturday night, March 7, 2015. The building was jam-packed, drawing a standing-room only crowd of nearly 1000. People were lined up down the street just to get in to see ROH film four episodes of TV. The production team set up the big video screen above the entranceway, which looked outstanding. The crowd was jacked and their enthusiasm did not flag throughout the night. I’m sure these episodes will come off great on TV. I have been to most of the ROH shows in Baltimore, and this likely stands as their biggest crowd yet.

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EXECUTIVE SUMMARY: Samoa Joe is back in a big way. He defeats Kyle O’Reilly and announces that he wants a shot at the ROH World Championship against Jay Briscoe at Supercard of Honor. Jay Briscoe retains his title against a challenge from Jimmy Jacobs. The IWGP Heavyweight Champion AJ Styles looked incredible in his victory over Mark Briscoe. BJ Whitmer is an awful human being as he makes Steve Corino’s son Colby into the Decade’s new young boy. In lieu of getting a Television Title match against Jay Lethal, Top Prospect winner Donovan Dijak opts to join the House of Truth. Dalton Castle looks impressive as an impromptu replacement, but Lethal remains champion. The Kingdom beat the Young Bucks. The Addiction beat ACH & Sydal. The Knights of the Rising Dawn begin interfering in matches. Elgin, Moose and War Machine (with the returning Raymond Rowe) pick up squash wins. Elgin is becoming even more of an ass. Roderick Strong beats Bobby Fish in a very enjoyable contest. Brutal Bob turns on Cheeseburger.

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Match 1: The Addiction vs. Matt Sydal & ACH – Sydal makes a hot tag in the middle of the match and goes to town on the Addiction, earning a “this is awesome” chant. ACH gets a “holy shit” chant for his Fosbury Flop. Sydal is pulled to the outside by one of the Knights of the Rising Dawn. Kazarian puts Sydal in the torture rack, and then flips him over onto Daniels’s knees for the pinfall. This was a really fun opening match.

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Jay Briscoe comes to the ring.

JAY BRISCOE

Baltimore, Maryland, you know, first thing’s first. I got to send out a big thank you to ODB for bringing this baby (Briscoe’s personal world championship belt) right here home. Thank you ODB, it’s greatly appreciated.

Now coming out the 13th Anniversary in Las Vegas, Nevada, a lot of people say I escaped by the skin of my teeth. People saying I got lucky. A lot of people saying I look vulnerable. You can call me lucky; you can call me vulnerable, but don’t forget to call me the champ.

And how the hell is anybody going to call me lucky? I mean seriously, it’s been over 2 years since I’ve been pinned in this ring. I have one of the biggest streaks of all time going right now, man. I’m trying to stay humble, I really try to stay humble man, but this roll that I’m on right now; I can’t help but feel I’m the baddest man in pro wrestling.

Samoa Joe comes out to a massive pop.

CROWD

Welcome back! Welcome back!

SAMOA JOE

Baddest man in pro wrestling…you know what? I’ll give you that. You are on a streak. And whoever says this man got lucky – you are out of your mind. I was the man a long time ago. But in my absense, two men manned up and showed the Ring of Honor fans what we’re all about. That was the Briscoes and namely, you. You went to Vegas against impossible odds with 4 guys in the ring at once and you came out victorious. You manned up and handled business.

And I’d be remiss to say when I look at you I see a little bit of myself, what it means to be a true champion. But if you’re going to call yourself the baddest man in pro wrestling, last time I checked you ain’t whipped my ass.

CROWD

Oooooooo!!!

SAMOA JOE

So I’ll tell you what. Supercard of Honor, let’s see if that claim is true. You versus me for the ROH World Championship.

CROWD

Yes! Yes! Yes! Joe’s gonna kill you! Joe’s gonna kill you!

Samoa Joe and Jay Briscoe leave the ring. Jimmy Jacobs comes to the ring.

CROWD

Jimmy Jacobs! Jimmy Jacobs!

JACOBS

Last I heard, you guys were chanting, “Joe’s gonna kill you, Joe’s gonna kill you” in anticipation for some match that two wrestlers just decided was gonna happen. Samoa Joe – a guy who was great, I mean, really great. He hasn’t been in this company for so long that the last guy he beat was Tyler Black. That’s how long it’s been. But he just asked Jay Briscoe for a Ring of Honor World Title shot and Jay’s like, “yes.” As if your mere presence grants you a World Title shot just blows my mind! Samoa Joe, you walked out of this company and that worked out so well for you.

CROWD

Ooooooo!!!

JACOBS

I mean that. That’s real. And I mean this: while you walked out on this company, I was here in good times and bad, holding the fort down making sure there was a spot for you to come back to. Yes! Damn right! So before, Jay Briscoe, you just give away a title shot, I’m taking a title shot because I’ve earned a title shot. Nigel McGuiness, before you give away a title shot at Supercard of Honor to Samoa Joe, I’m taking a Ring of Honor World Title shot. Jay Briscoe, Nigel McGuiness, I know you’re both men. I know you’re men, so you’ll accept this. There’s something changing in the air, right now. There’s a feeling in the air that’s changing for Jimmy Jacobs and something’s got to give. Something’s gotta give and that’s the Ring of Honor World Championship.

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Match 2 (TV Episode #1 Main Event): The Kingdom (Michael Bennett & Matt Taven) with Maria vs. the Young Bucks – The Bucks are super over. Maria grabs Matt Jackson’s leg from the outside leading to a beatdown. Finally Nick gets the hot tag and moonsaults to the outside. Taven dives over the top rope. As Young Bucks doubling-teaming begins, the crowd chants, “This is awesome.”

Another distraction from Maria allows Taven to hit a top rope swanton for a two count. Bucks come back with stereo superkicks, bucklebomb kick, swanton while opponent’s legs are hung over top rope. Crowd chants for the Young Bucks. Young Bucks hit the Meltzer Driver, but one of the Knights of the Rising Dawn pulls out referee Todd Sinclair. Bennett superkicks Matt Jackson in the back of the head and low blows Nick. Taven goes to the top rope and the Kingdom hits a Metlzer Driver of their own for the pin in 12 minutes. Entertaining match!

reDRagon emerge at the top of the entrance ramp to survey the ring.

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Match 3: Roderick Strong vs. Bobby Fish – They trade stretches and strikes, then fight to the floor. Bobby Fish dominates Roderick for most of the match, though. Fish’s top rope moonsault earns a “this is wrestling” chant. The tide turns in Roderick’s favor following a superplex and double knee gutbuster. They trade strong-style elbows. Roderick flies off the ropes and connects with the Sick Kick followed by Death by Roderick. Crowd chants, “That was awesome.”

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Top Prospect Tournament winner Donovan Dijak is in the ring. Truth Martini, J. Diesel and Jay Lethal come to the ring. Lethal is scheduled to defend his Television Championship against Dijak.

TRUTH

Donovan Dijak…today is the most important day of your entire life. There were eight men in the Top Prospect Tournament and you came out victorious. That says something about you. You are a star on the rise. But today you are across the ring from your Ring of Honor champion, Jay Lethal. Now in case you didn’t know, Ring of Honor is the greatest company in the entire world.

CROWD

ROH! ROH! ROH!

TRUTH

Jay Lethal is the greatest wrestler in Ring of Honor. Do the math, Dijak, because that means that Jay Lethal is the greatest wrestler in the entire world. I’m going to tell you straight up. If you wrestle Jay Lethal right now, you’re going to lose. Repeat: if you wrestle this man right now, you’re going to lose. This man has victories over Ric Flair, Kurt Angle, Sting and Alberto el Patrón.

Now me on the other hand, Dijak, numbers don’t lie. I am officially the greatest manager in Ring of Honor today. Everybody who stands by my side shoots straight to the top. There are three types of wrestlers in this world – good wrestlers, great wrestlers and special wrestlers. This is the most important day of your life. This is what I’m offering you.

 

Truth Martini extends his hand.

TRUTH

Shake my hand and join the House of Truth.

 

The majority of the crowd wants him to do it. Dijak considers for a long while, and then shakes Truth’s hand.

TRUTH

You chose wisely.

 

Dalton Castle’s music hits. He comes to the ring doing his super awesome entrance with his two “boys.”

DALTON CASTLE

Salutations! I’m Dalton Castle. I’ve come to wrestle and these are my boys. I was stretching out my hammies to release my tension. You won the Top Prospect Tournament Champion and you’re gonna give that up? You know I was in that particular tournament for one particular reason – I want what you got (references the Television Championship).

 

One of Dalton’s boys gets on his hand and knees. Dalton sits on him and leans on the second boy as they combine to form a makeshift human chase lounge. The crowd is really into Dalton Castle.

DALTON CASTLE

So what do you say? Why don’t you be a man like me and put it on the line. Defend that title against me right now.

CROWD

Yes! Yes! Yes!

 

The House of Truth goes to leave the ring.

DALTON CASTLE

Come on! Walk away! I’ll just have to go challenge Jay Briscoe. He’s a real champion…

 

Match 4: Jay Lethal defends the Ring of Honor Television Championship against Dalton Castle – Lethal is so angry that he pummels Dalton at the start. However, Dalton recovers and wrestles a really competitive match in which he got in his fair share of offense. He hits Fair Winds and a deadlift German suplex. With the referee distracted, Dijak pulls Castle out of the ring and connects with Feast Your Eyes. Castle stumbles into a Lethal Injection and is pinned in 6 minutes.

This segment was very effective. Dijak got over by being a monster and aligning himself with the HOT. Truth got over by making it happen. Lethal got over by winning. Dalton Castle got over just by being Dalton Castle. After the match, Castle got a standing ovation with streamers. The crowd chanted, “Please come back.”

———————————————

Match 5 (TV Episode #2 Main Event): Jay Briscoe defends his Ring of Honor World Championship against Jimmy Jacobs – The story here is that Jimmy Jacobs hit Jay Briscoe with pretty much everything he had, but it just wasn’t enough. Jacobs hit a stunner off the corner of the barricade, sliced bread, spear and a top rope sliced bread, but still couldn’t put Briscoe away. Jimmy doesn’t know what to do, sulks around ringside and stares into the ROH title belt. Jimmy hits a running cutter off the rope, another sliced bread and locks in a guillotine. Briscoe powers up, but Jimmy rolls him up for a near fall. He gets a backslide for another near fall. Then Jay just grabs him and crushes him with a Jay Driller to get the pin in 12 minutes. As they shake hands, the crowd rises for a standing ovation chanting, “that was awesome.”

———————————————

Match 6: Moose (with Veda Scott and Stokely Hathaway) vs. Caprice Coleman – Moose dominates until Caprice hits the heart punch. As Moose weakens, Caprice gets in some offense. Moose recovers enough to hit the standing top rope dropkick and spear for the win in 6 minutes.

———————————————

Match 7: The Decade (BJ Whitmer & Adam Page) vs. Leon St. Giovanni & Shaheem Ali – This was a one minute squash. Whitmer held Leon face-up on his shoulder while Page ran towards him to deliver a cutter while Whitmer flipped him over.

BJ WHITMER

Adam, we’ve been scouting the entire wrestling world looking for our next young boy, looking for your replacement. Do you think we’re going to find him amongst derelicts like these two? I gotta surprise for you. I have found our next young boy. I have found the perfect fit for the Decade, someone that’s more than capable, a second-generation kid. With our guidance he just might become a star here in Ring of Honor. Adam, he needs a big brother like you and he needs a father figure like me. Corino, I’m giving you the chance and the opportunity to be our next young boy!

 

Steve Corino stands up from the commentary position and glares at Whitmer.

BJ WHITMER

No no, not you Steve, your son Colby Corino!

 

Colby Corino comes to the ring as his father looks on in disbelief.

BJ WHITMER

Now I’m going to ask you – are you up for the challenge of being our next young boy?

 

Colby Corino hugs BJ Whitmer!

STEVE CORINO

             (enraged)
This has gone too far.

 

BJ WHITMER

You haven’t seen anything yet, Steve.

 

Colby holds ropes for Whitmer and Page as they leave the ring. Jimmy Jacobs comes to the ring and tries to play peacemaker. He accompanies Steve Corino backstage.

———————————————

Match 8: The House of Truth (J. Diesel & Donovan Dijak) vs. Brutal Burgers – The crowd is super into Cheeseburger. Cheeseburger wants Dijak and even gets a big DDT hope spot on him. Ultimately, Dijak kills him with a knee, throws him across the ring and finishes him off with Feast Your Eyes. Dijak scores the pin in 5 minutes.

After the match, Brutal Bob Evans embraces Cheeseburger, poses on the ropes, turns around and nails Cheeseburger with a huge shoulderblock.

 

CROWD

Asshole! Asshole!

———————————————

Match 9: Michael Elgin vs. Will Ferrara – Elgin uses his power and submission holds to stay in control pretty much the entire match. Elgin teases powerbombing Ferrara from the apron through a table to the outside, but returns him to the ring. He hits the bucklebomb, spinning powerbomb combo for the pin in 6 minutes.

Caprice Coleman checks on Ferrara. Elgin gives him a spinning powerbomb. He grabs Ferrara and powerbombs him again. Elgin gets some really good heel heat out of this.

———————————————

Match 10: War Machine vs. Anthony Greene & Cam Zagami – This was Raymond Rowe’s first match back with War Machine since returning from injury. He gets a “welcome back” chant. War Machine wins easily in 3 minutes with a top rope leg drop from Hanson.

 

CROWD

War Machine! War Machine!

MICHAEL ELGIN

             (returning to the ring)
I’m not done yet! At the 13th Anniversary, Nigel McGuiness said he was going to “punish me.” Well, the only thing I see fit to do is return the favor and punish Ring of Honor. Hanson, Rowe, you know, as a young kid my mom used to say something to me. It used to go, “I brought you into this world, and I can take you out.” And you two are standing there as a team because of me. So how about you two fellas against me and I get the job done right now?

———————————————

Match 11: Michael Elgin vs. War Machine – War Machine, being a good team, has the advantage for the majority of this short match, as they should. Elgin gets himself disqualified after hitting Rowe in the back with a chair. Hanson and Rowe are restrained by referees and officials as Elgin walks to the back holding the chair over his head. The crowd chants for War Machine.

———————————————

Match 12: QT Marshall vs. ACH – QT looks good early, executing impressive power moves on the smaller ACH. In the end, though, this was just a nondescript enhancement match to put over ACH. He wins with the 450 splash in 5 minutes after Marshall misses one of his own.

BJ Whitmer returns to ringside with Adam Page and Colby Corino to address ACH.

 

BJ WHITMER

You think you’re hot stuff don’t you? You think because you come out here with acrobatics and do a couple of flips and these people pop for you, that makes you the man? Let me smarten you up to something. I’m going to shoot straight with you, Albert. Nobody in the back likes you. Nobody respects you. But you are getting opportunities and chances that you don’t deserve. You’re getting opportunities that belong to a guy like Adam Page. You are having matches with AJ Styles and Alberto el Patrón and you failed, Albert. Yet each and every failure you come out with this false sense of bravado, this false confidence. But you know, deep down that every time your mother looks you in the eyes she sees nothing but a failure.

 

Colby attacks ACH from behind allowing BJ to take over. Page hits the vertebreaker. Steve Corino is very upset. Colby opens a bottle of water and hands it to Adam Page. The crowd boos them.

———————————————

Match 13: (TV episode #3 main event) AJ Styles vs. Mark Briscoe – This match had a lot of fast, well-executed chain wrestling complemented with stiff strikes. They started off with periodic flurries of offense followed by working submissions. They fight on the floor and back into the ring. AJ outwrestles Briscoe and maneuvers him into the calf killer. Mark gains the advantage with redneck kung fu and a brainbuster. AJ responds with the Stylin’ DDT, but simultaneous clotheslines put both men down.

AJ hits the Pelé Kick on the apron, but Mark responds with the Cactus Jack elbow to the floor. He tries for the Froggy Bow but AJ gets his knees up. Like a flash of lightning, AJ is up with a brainbuster followed by the Styles Clash. He gets the pin in 16 minutes. For many in attendance, this was the best match on the show. Great stuff here. AJ Styles is mega-over.

———————————————

Match 14: (TV episode #4 main event) Kyle O’Reilly (with Bobby Fish) vs. Samoa Joe – The crowd chants, “welcome back.” The first thing I noticed is that Joe appears to be in better shape than we last saw him in in TNA. They shake hands and we’re off. The match starts with back-and-forth wrestling. The men exchange go-behinds, wristlocks, arm bars, kicks, ducks, rolls-up and more.

CROWD

This is wrestling!

 

Kyle jabs and Joe just slaps him right in the face. He sits Kyle in the corner and gives him two sets of Facewashes. Kyle wrenches Joe’s arm, so Joe clotheslines him to the floor. They exchange blows and take turns setting each other up for the running big boot near the guardrail.

CROWD

Olé, Olé, Olé!!!

 

The men fight on the floor, but I can’t see how from my vantage point. Kyle torques Joe’s arm around the bottom rope. As Joe favors the arm, Kyle kicks him in the chest, returns to a wristlock and goes for a suplex, but Joe stops him. Kyle tries again, Joe stops him again. Joe jabs, slaps and elbows, but Kyle recovers with a knee to the chest that gets a one count.

Joe is facedown on the mat and Kyle controls him with a hammerlock. He supplements the hold with strikes and knees. Kyle’s back roundhouse kick gets a one count and he returns to a keylock. Joe surges back. His front roundhouse kick forces Kyle forehead-first into the mat. Joe follows with a clothesline, reverse atomic drop, big kick off the rope and his signature senton. Two count. Joe’s snap suplex compels Fish into the ring, but Kyle kicks out. Joe has his eye on Fish now.

Kyle tries for the Thesz press, but Joe turns it into a powerbomb. When Kyle kicks out, Joe rolls it into an STF. Kyle gets to the ropes, so Joe sets him up for the muscle buster. Kyle counters into a guillotine choke. Fish yells at the referee to ring the bell. Joe powers out so Kyle viscously elbows him in the face and transitions into an armbar from the same position. Again Fish tells the referee to ring the bell. Joe gets to the ropes and rolls to the outside.

From the apron, Kyle does his diving dropkick to the floor, shooting Joe into the barricade. Back in the ring, Kyle gets a two count with a suplex and transitions into an armbar. Joe gets a rope break so Kyle kicks him instead. Joe gets a second wind. He hits Kyle with a slap, slap, slap, but Kyle ducks the backslap. Kyle hit a kick, chop, knee, kick. Joe jumps the back roundhouse kick, but Kyle knees Joe in the face. Kyle tries the Dean Ambrose clothesline after bouncing off the middle rope, but Joe doesn’t go down. He tries again but Joe kicks him in the shoulder. Both men are down.

CROWD

This is awesome! This is awesome!

 

Kyle and Joe charge and evade each other. Kyle runs at Joe in the corner, but Joe catches him with the STJoe. Joe is feeling it now. He destroys Kyle with knee strike after knee strike. He throws him into the corner and sets him up for the muscle buster. He connects and gets the pin in 17 minutes.

CROWD

That was awesome! That was awesome!

 

It looks like Samoa Joe lives! This was a great match and ranks close to Styles/Briscoe as the best thing on the show, in my opinion. The men shake hands as the crowd chants for Joe.

SAMOA JOE

It feels good to be back here at home. At the Anniversary Show I told you people that we started a movement. It’s a revolution. Tonight is an example of the new style of wrestling. (yelling) Tonight is an example and notice to the world that we are changing the game because we are Ring of Honor and goddammit we’re the best that there is!

 

Bobby Cruise announced that Ring of Honor returns to Baltimore on Saturday, July 25.

Astrophysics

Is the Universe a Giant Fractal?

fractal universe

Fractals are objects that look the same on all scales.  I’m sure many of you have seen pictures or videos of fractals, but if you haven’t or if you would like a reminder, check out this visual representation posted on YouTube.  As a cosmologist who has studied the large scale structure of the Universe, I find the question of whether the Universe is itself a giant fractal pretty interesting.

Before we can dive deeper into this question, some background information is required.  The prevailing conclusion in cosmology is that the Universe originated in a Big Bang from which all matter and energy was set in motion.  Though it was initially very close to uniform, tiny quantum perturbations made certain sections of the Universe slightly more dense than others.  As gravity directed matter into these overdense regions structure slowly began to form.  After billions of years this structure evolved into a massive collection of filaments and voids.  The following video from the Millennium simulation displays a model of that structure on different length scales.

As the video shows, the Universe does appear somewhat similar on all scales except the smallest.  That the Universe fails being a fractal at small scales should be obvious.  After all, there are no galaxy-sized objects that look like glaciers, trees or chipmunks.  Therefore if the Universe does possess fractal-like properties they must break down at some point.  Above those scales, does the Universe look like a fractal?  If so, does that fractal go on forever?  If not, where does it cut off.  Why?  How do we know?

These are the questions I investigate in this post.  Fair warning: this is about to get pretty wonky.  Those valiant enough to proceed are encouraged to put on their math caps.


One way cosmologists quantify structure is through a statistic known as the two-point correlation function (2PCF).  The 2PCF measures the probability of finding two galaxies separated by distance r beyond what’s expected through random chance.

In three dimensions the two-point correlation function is often approximated as a power law,

(1)   \begin{equation*}  \xi(r) \propto r^{-\gamma}, \end{equation*}

where \gamma is a parameter whose value depends upon the particular distribution of galaxies. In two dimensions the 2PCF w(\theta) is a function of angle,

(2)   \begin{equation*} w(\theta) \propto \theta^{-(\gamma-1)}. \end{equation*}

Note that if we add the number of Euclidean dimensions1The Universe possesses 3 Euclidean, or topological dimensions.  This is another way of saying we live a three-dimensional Universe – up/down, left/right, in/out.  We distinguish between Euclidean and fractal dimensionality since the latter can take non-integer values and more accurately describes fractals’ more complicated geometric properties. to the exponent of the 2PCF we obtain the same number, 3-\gamma. This is known as the codimension. It turns out that if you have a random process with a power law correlation function, when you project it into lower dimensions the codimension does not change.

To put more substance behind this, let’s consider the two-point galaxy correlation function in greater depth.  To compute its value at any r we populate a simulated volume with uniformly distributed2In this context “uniformly distributed” means the random points must have the same distribution the observed galaxies would in the absence of large scale structure. The geometry of the survey must therefore be taken into account. No random points may be placed in locations where galaxies could not be observed. If the number of observed galaxies decreases with distance as with magnitude-limited surveys, so too must the number of randoms. random points.  We count the number of pairs of points separated by each distance r and use the results to populate a so-called randoms-randoms histogram.  We do the same for the galaxies to generate a data-data histogram.  The ratio of these histograms, which is a measure of probability above and beyond what one would expect through random chance, is the 2PCF.3For more on this see Landy, S. D., & Szalay, A. S. 1993, Astrophysical Journal, 412, 64.

As an example consider a three-dimensional Universe in which all the galaxies lie along a straight line.  We limit our focus to galaxies separated by a distance r by imagining a spherical shell of radius r.  The only data-data points would lie across the shell from each other, perhaps located at opposite poles.  The number of galaxy pairs would scale as 2\lambda\, dr where \lambda is the linear galaxy density.  The random points could lie anywhere within the spherical shell, contributing to a much greater number of pairs.  The number of these pairs would scale as 4\pi r^2 \rho\, dr where \rho is the volume density of the randoms.44\pi r^2 is the surface area of a sphere.  When multiplied by the infinitesimal thickness dr it becomes the volume of a very thin spherical shell.  The correlation function would then go as

(3)   \begin{equation*} \xi=\frac{2\lambda \, dr}{4\pi r^2 \rho \, dr} \propto \frac{1}{r^2}=\left( \frac{1}{r} \right)^{\gamma=2}. \end{equation*}

By a similar argument if all the mass in the Universe was on a plane, then the number of data-data pairs would go as 2\pi r \sigma\,dr where \sigma is the galaxy area density.5A plane (of galaxies in this instance) intersected with a spherical shell creates a circular ring.  The circumference of that ring is 2\pi r.  When multiplied by the ring’s thickness dr we get the area of the ring.  In this case the correlation function would go as

(4)   \begin{equation*} \xi=\frac{2\pi r \sigma\,dr}{4\pi r^2 \rho \, dr } \propto \frac{1}{r}= \left( \frac{1}{r} \right)^{\gamma=1}. \end{equation*}

The codimension of the linear Universe is 3-\gamma=1.  The codimension of the planar Universe is 2.

The reason this matters is that a random process (like the distribution of galaxies) with a power law correlation function has a lot in common with fractals.6Though it might seem counterintuitive, the distribution of galaxies is considered to be a random process.  That is, there could be an infinite number of different Universes that each have the same 2PCF.  This is analogous to many people rolling a die a large number of times.  Each person will roll numbers 1 through 6 in a different order even though the probability of rolling each number is identical for all of them.  In fact, simulating the positions of galaxies is sometimes referred to as rolling the dice.  To see how, let’s examine the concept of dimensionality a bit more rigorously.

Imagine intersecting familiar geometric objects with a sphere and then doubling the radius of the sphere. What happens? If the object is a line, the length of the line inside the sphere will double. This means it increases by a factor of 2^{D=1}. If the object is a flat plane, the area of the plane inside the sphere will quadruple. This means it increases by a factor of 2^{D=2}. In these examples the exponent D tells you the dimensionality of the object. A line is 1-dimensional. A plane is 2-dimensional.7I have taken the radius of the sphere to increase by a factor of 2, but note that the argument works for any factor f, e.g. changing the radius of the sphere from R to fR scales the area of the intersecting plane by f^{D=2}.

While lines and planes are relatively simple objects, the boundaries of fractals are not.  In fact, the length around a fractal shape depends upon how fine a ruler one uses.  For example, consider the images of the United Kingdom’s coastline below.  The shoreline appears jagged on all scales and can be approximated to be a fractal.  As the resolution of the ruler increases, so too does the length of the coastline.  And because fractals have infinitely dense structure, the closer you look the longer the edge gets.  For this reason the edges of pure fractals are often considered infinite in length.

Britain-fractal-coastline-combined

When you intersect a fractal with a sphere and double its radius, the spatial content of the fractal doesn’t necessarily double or quadruple – it increases by a factor 2^{F_D} where F_D is known as the fractal dimension. And unlike in Euclidean geometry, the fractal dimension does not need to be an integer.8The fractal dimension is also a measure of the complexity of a fractal’s boundary. There are formal defintions of F_D, but those are omitted here.

It is somewhat comforting that F_D=1 for a straight line and F_D=2 for a flat plane, i.e. for simple cases the Euclidean and fractal dimensions are identical.  But if a line is somewhat curved, it will have a fractal dimension close to but greater than 1.  If a line is so tangled that it almost maps out an entire area, it will have a fractal dimension close to but less than 2. A similar logic applies to surfaces.  A slightly curved surface will have a fractal dimension somewhat larger than 2 while a surface so folded that it practically maps out the entire volume will have a fractal dimension somewhat smaller than 3.

The essential connection between these examples is that the codimension 3-\gamma and the fractal dimension F_D are actually measuring the same thing. A linear Universe has a codimension of 1 and the fractal dimension of a straight line is F_D=1. A planar Universe has a codimension of 2 and the fractal dimension of a plane is F_D=2.

This relationship is nontrivial. Dimensionality is a measure of how the spatial extent of a geometric form scales within a volume. The codimension is a measure of how objects are distributed relative to a purely random distribution. They are fundamentally different things, yet in the context of power law 2PCF they wind up being equal.

And while these are just the edge cases, this conclusion holds equally well for 1<\gamma<2.  In other words, if we know the two-point correlation function, we know the fractal structure of the Universe!

So if the Universe is indeed a fractal, what is its mass? The answer depends upon the radius R of the sphere within which we measure it. For a sphere centered on position x_0 we might use an equation like this,

(5)   \begin{equation*} m_R(x_0) = \int \rho(x) W_R(x_0-x) \, d^Nx, \end{equation*}

where \rho(x) is the density at position x, W_R(x_0-x) is a top-hat window function9The top-hat window function equals 1 when x is within a distance R of x_0 and equals zero otherwise. It exists to limit the integration to the interior of the sphere. and N is the dimensionality of the fractal10For conventional three-dimensional objects N=3. When integrating over surfaces we use N=2.. To find the average fractal mass within a radius R we would average m_R(x) over many positions.

Regardless of the particulars of the density function \rho(x), the mass of a fractal is proportional to length raised to the N^{\text{th}} power, or R^{F_D}. The mass density of a fractal therefore scales as

(6)   \begin{equation*}  \rho\left(R \right)=\frac{m_R}{V} \propto \frac{R^{D_F}}{R^3}=R^{D_F-3}. \end{equation*}

Experiments have shown that in our Universe,

(7)   \begin{equation*}  \xi\left(r\right) \propto \left( \frac{1}{r}\right)^{\gamma=1.8}. \end{equation*}

We might naively conclude from this that the fractal dimension of all space is D_F=1.2.  This lands close to the truth but misses an important point. When D_F<3, we have D_F-3<0. It therefore follows from equation 6 that as R \rightarrow \infty, \rho \rightarrow 0. In other words, the mean density of a fractal with D_F<3 is zero.

Our Universe has a nonzero density \rho, so something doesn’t quite fit. The explanation lies in the definition of the two-point correlation function. Recall that the 2PCF quantifies the probability of finding galaxies above what’s expected through random chance. If we represent the density of the Universe as the sum of a background component \rho_{bg} and a perturbative component \rho_{fr} above and beyond that of an expected background, we have

(8)   \begin{equation*} \rho(\mathbf{x})=\rho_{bg}+\rho_{fr}(\mathbf{x}). \end{equation*}

The density of the Universe is not what exhibits fractal properties. Rather, it is the density \rho_{fr}(\mathbf{x}) atop the background that does. Because \rho_{fr}(\mathbf{x}) is a perturbation from the mean, it has an expected value of zero when averaged over all space,

(9)   \begin{equation*} \langle \rho_{fr} \rangle_{\mathbf{x}} = 0, \end{equation*}

and thus satisfies the requirement that the mean density go to zero as R \rightarrow \infty.

I close with the following conclusion – the Universe does behave like a fractal as long as its two-point correlation function follows a power law relationship. Where the 2PCF fails to be modeled by equation 1, the equality between the codimension and fractal dimension no longer holds and the rest of the argument breaks down.11The approximation of the 2PCF as a power law works well for intermediate length scales. At small separations (e.g. the size of galaxies) the growth of structure is governed by factors far more complicated than simple gravity like supernovae, shockwaves, tidal forces, accretion disks, etc. At large separations parcels of matter are so distant that they have yet to have time to affect each other.

 

Featured image: “Stardust Memories” by Anua22a, used under CC BY-NC-SA 2.0 / Cropped from original
Britain fractal coastline imageoriginals left, middle and right made by Avsa mixed by Acadac, used under CC BY-SA 3.0

Notes   [ + ]

1. The Universe possesses 3 Euclidean, or topological dimensions.  This is another way of saying we live a three-dimensional Universe – up/down, left/right, in/out.  We distinguish between Euclidean and fractal dimensionality since the latter can take non-integer values and more accurately describes fractals’ more complicated geometric properties.
2. In this context “uniformly distributed” means the random points must have the same distribution the observed galaxies would in the absence of large scale structure. The geometry of the survey must therefore be taken into account. No random points may be placed in locations where galaxies could not be observed. If the number of observed galaxies decreases with distance as with magnitude-limited surveys, so too must the number of randoms.
3. For more on this see Landy, S. D., & Szalay, A. S. 1993, Astrophysical Journal, 412, 64.
4. 4\pi r^2 is the surface area of a sphere.  When multiplied by the infinitesimal thickness dr it becomes the volume of a very thin spherical shell.
5. A plane (of galaxies in this instance) intersected with a spherical shell creates a circular ring.  The circumference of that ring is 2\pi r.  When multiplied by the ring’s thickness dr we get the area of the ring.
6. Though it might seem counterintuitive, the distribution of galaxies is considered to be a random process.  That is, there could be an infinite number of different Universes that each have the same 2PCF.  This is analogous to many people rolling a die a large number of times.  Each person will roll numbers 1 through 6 in a different order even though the probability of rolling each number is identical for all of them.  In fact, simulating the positions of galaxies is sometimes referred to as rolling the dice.
7. I have taken the radius of the sphere to increase by a factor of 2, but note that the argument works for any factor f, e.g. changing the radius of the sphere from R to fR scales the area of the intersecting plane by f^{D=2}.
8. The fractal dimension is also a measure of the complexity of a fractal’s boundary. There are formal defintions of F_D, but those are omitted here.
9. The top-hat window function equals 1 when x is within a distance R of x_0 and equals zero otherwise. It exists to limit the integration to the interior of the sphere.
10. For conventional three-dimensional objects N=3. When integrating over surfaces we use N=2.
11. The approximation of the 2PCF as a power law works well for intermediate length scales. At small separations (e.g. the size of galaxies) the growth of structure is governed by factors far more complicated than simple gravity like supernovae, shockwaves, tidal forces, accretion disks, etc. At large separations parcels of matter are so distant that they have yet to have time to affect each other.
Personal

Bicycle Tragedy Hits Close to Home

On Saturday afternoon a cyclist was struck and killed immediately across the street from my house. As someone who cycles almost every day through the exact same location, this has affected me greatly. It is worth noting that my neighborhood is normally safe for joggers and cyclists. It’s rare for 15 minutes to pass without at least one passing by. We have wide streets and a newly paved, dedicated bike lane. And still this.

A few minutes ago I went across the street to the site of the crash to join about 40 other cyclists who had arrived for a vigil. The only sound to break the silence was the ocassional sniffle. Then, as if to bring everything that was wrong about this situation into focus, a car traveling 20mph over the speed limit raced passed our location.

A man immediately screamed, “Slow down! You are part of the problem!” This worked him up enough to continue. “Each day, every day, all of us go through this! All of us know how close we’ve all come to being hit.”

I couldn’t agree more.

If anything is to come from this tragedy (aside from the sensationalism that it was a bishop who struck a bike-maker), it should be a discussion about the relationship between cyclists and drivers on city roads. More often than not I hear drivers complain about the aggressive nature of cyclists. They drive too fast. They veer into driving lanes. They ride on streets with little to no shoulder. They don’t care about cars.

Cyclists, however, are risking their lives whenever they climb onto a bicycle. We contend with shoulders that are often too narrow and in disrepair. Even those in good condition are often littered with broken bottles, slippery pebbles and roadkill.  Cars whiz by at terrifying speeds, sometimes coming within a few inches of clipping me.  Were I swerve at just the wrong time to avoid hazards like a slitted sewer grate or fruit fallen from a tree, I could die.

I have had cars drive across a bike lane to make a turn without even realizing I was there. Within the last month I almost crashed into a car door because a parked driver neglected to check her mirror before opening it into a bike lane.

I can’t say whether I’m in the minority, but I cannot recall ever having a conversation about the relationship between cars and bicycles in Driver’s Ed. This seems such a shame because the two sides so frequently seem to be at odds with one another. Motorists complain that cyclists are entitled and reckless. Cyclists complain that motorists are dangerous and oblivious.

Earlier today I was speaking with a very nice woman who lives just down the road from me. As discussion turned to the accident she commented about another local road, “I just can’t believe cyclists drive up Falls Road. It’s so dangerous. They shouldn’t do that.”

I replied, “I bike Falls all the time. If you look at the signage it is dedicated bike route.”

She said, “But it’s a two lane road with such a small shoulder. And there are so many turns. It’s too risky for bikes to be there.”

“Not if cars are going the speed limit. And cyclists try to avoid major roads when possible. They aren’t exactly fun be on. But in this case if you want to get beyond the beltway, you have maybe 4 roads total and 2 are them are so dangerous they shouldn’t even be attempted.”

I’m pretty sure this was news to her.

I will continue to ride my bike. Since I own no car, I have little other option. But every day I do so I am placing my life in the hands of drivers who may have no idea what being on a bike is like.  I can only hope that the hundreds of candles and flowers adorning a lonely brick fence on Roland Avenue this freezing cold night will start to tell that story.

Pro Wrestling

Can Anyone Stop World Wrestling Entertainment?

wwe

I was asked the following question on Quora:

Will there ever be a company that can dethrone World Wrestling Entertainment as the worldwide leader in the wrestling industry?

It’s not impossible, but it is unlikely.

WWE possesses a number of institutional advantages that effectively preclude encroachment from competitors.  It is a publicly-traded, billion dollar company with a sizable amount of cash on hand.  It retains the ability to hire the best performers and staff.  Its revenue streams are relatively (for wrestling) diversified in that they profit from television rights fees, merchandise, movies, DVDs, books, magazines, its website, pay-per views and the WWE Network.  It would be difficult for any company starting from scratch to surpass that.

WWE is so entrenched as the “worldwide leader in sports entertainment” that when people think of pro wrestling, they think of WWE.  This is similar to people thinking of UFC when they think of MMA.  This is not a matter of WWE being a subset of pro wrestling – for many fans they are one in the same.  The last major competitor to WWE, WCW, went out of business in 2001.  For fans 18 and younger, this means WWE is pretty much the only wrestling company they’ve ever known.  Loyalty and familiarity will make it challenging for another company to usurp them.

Changing that mindset will take a tremendous amount of time, effort and money, all of which are unlikely to materialize.  As an example of this power, realize that WWE is able to leverage the infrastructure of cities to run their events.  If they need police escorts to get their buses from one place to another, they can get it.

WWE also possesses the most comprehensive pro wrestling video library in history.  In addition to its own conent, it also owns the footage from World Championship Wrestling (WCW), Extreme Championship Wrestling (ECW), the American Wrestling Association (AWA), World Class Championship Wrestling (WCCW) and others.  This allows it to leverage and monetize the entire history of the business.  No company will ever be able to match that institutional advantage.

Some might argue that WCW almost unseated WWE and another company might be able to do so again.  However, the competition from WCW was unique and unlikely to be duplicated.  WCW started as part of the old territory system in which pro wrestling was mostly local to each region.  When Ted Turner’s WCW became the primary territory for the National Wrestling Alliance (NWA) it already had a huge, well-established fan base.  It entered as an equal to the then-WWF, which offered it a unique position that no other company will ever be able to hold again.

I would further contend that the only reason WCW even came close to unseating WWE was that it attracted “fad-fans” interested in the novelty of the New World Order (nWo), i.e. a group of WWE wrestlers invading WCW.  These fans spiked viewership numbers during the late 1990’s but have not returned since.

Even if a smaller promotion like Total Nonstop Action (TNA), Ring of Honor (ROH), Evolve or Dragon Gate USA (DGUSA) is able to grow its own fanbase, history has shown these will likely remain niche products designed for a very specific wrestling-centric (as opposed to a more general entertainment-centric) audience.  Top stars from those promotions will consistently migrate to WWE for greater money and international exposure.  Fans of these smaller companies tend to also be fans of WWE, so in a sense they cannot even be considered true competitors.

The only plausible scenario in which WWE disappears from prominence is a hostile takeover or a complete buy-out.  A company like Disney, for example, could decide that pro wrestling fits into its business model and offer WWE an offer too good to refuse, especially if WWE’s product begins to flounder significantly.  At this point WWE would be absorbed into a larger conglomerate whose new owner could do with it as it wishes.

However in the near term, I would rate the chance of Vince McMahon, who is WWE’s primary stockholder, agreeing to cede control of his life’s work to someone outside of his own family as next to nil.  For his family to do so also seems unlikely given how deeply entwined their lives are with their business.

Personal

Bills Beat the Packers and I Learn How to Use Vine

Buffalo Bills Logo

The Buffalo Bills defeated the Green Bay Packers on Sunday in what many are calling the team’s biggest win in a decade.  Green Bay is considered a Super Bowl favorite.  They had been riding a 5 game winning streak and were winners of 9 of their last 10.  The Bills absolutely needed this game to keep hopes of ending their 14-year playoff drought alive.

They showed up in a big way.  Aaron Rodgers, considered by many to be the league’s best quarterback, was harassed by the Buffalo defense all afternoon and suffered through a career worst day.  On the game’s penultimate series the Packers had the ball deep in Buffalo territory down 6.  They needed to score a touchdown in less than 2 minutes and with no time outs.  Instead, Bills defensive end Mario Williams bumrushed Rodgers, sacked him and stripped the ball.  The referee called a safety on the field then this happened:

 

This historic victory also marks my very first Vine video!  Vine is designed to be used on your smartphone or tablet.  It isn’t optimized to accept video recorded in other places, like mine was (thanks Flipcam).  I learned that to import an edited video from programs like Adobe Premiere or Final Cut Pro one needs to output to 480 x 480 at 30 fps with mono sound.  The video must then be imported into your phone’s camera/video roll (I did this by emailing it to myself) from which it can then be uploaded to Vine.

By the way, this video was shot at The Rockwell, a bar in Fells Point, Baltimore.  It hosts the Charm City Bills Backers by exclusively airing their game on the big screen.  It’s almost always a fun time.

AstrophysicsPersonal

My Thesis Research

signal-with-and-without-noise

A lot of people ask me to describe my thesis research.  I used to give a complicated answer about using covariance matrices to perform a Karhunen-Loève transform to blah blah blah, but now I just say, “I clean cosmic data.”  Today I created a graphic that illustrates the essence of what I’m trying to do.

Notice how both the signal and noise have “structure”?  My research attempts to uncover those structures and use them to eliminate the noise.  The problem is that taking away noise also takes away signal.  So we need a way to “fill in the gaps.”

Now imagine doing this not for images, but for MASSIVE data sets…and you don’t get to know what the letters are beforehand. Solving this problem to high accuracy is a challenge.

Pro Wrestling

Do “Smart Marks” Help or Hurt the Wrestling Business?

This post was inspired by a question that was asked on Quora.

In some respects smart marks help the business and in others they hurt it. Their best quality is passion. They love wrestling and continuously invest their time and money to support it at all levels. They often comprise a majority of the audience at indy shows, so much so that many smaller promotions might not exist without them. These shows are critical to the business since they provide a stage upon which young wrestlers can hone their craft.

Smart marks can often be assumed as “a given.” Whether the business is hot or cold, they will always be there. On one hand, their constant baseline level of support prevents the floor from falling out of the pro wrestling business. On the other hand, this means they can be more easily taken advantage of since companies like WWE know they will buy whatever they put out.

However, there are some smart marks whose behavior can detract from the quality of a show. Some become a distraction

when they act as if they’re part of the event. For example, a handful with a vendetta against a performer can chant “boring” loud enough to ruin the experience for others.

They can also become jaded to the extent that nothing pleases them anymore. When the same fans attend a company’s shows over and over again, as with the TNA Impact Zone, their reactions die out because they’ve seen everything before. Once a company breaks free of them, as TNA did by leaving the Impact Zone, the shows can become more vibrant.

Other smart marks believe that good wrestling depends on how many spots wrestlers can work into a match. They think that if a wrester can’t perform a flipping powerbomb into a twisting springboard DDT 5 seconds into the match, he’s garbage. This mentality diminishes the impact of all moves and makes them mean less. (As a counterexample, see CM Punk’s piledriver on John Cena during their #1 Contender’s match for the WWE Championship at Wrestlemania 29 on February 25, 2013’s episode of Raw.)

I once heard a story about two ROH wrestlers working a frenetic style during a show. When they came backstage they encountered George South who suggested that they slow down and make individual moves matter more. The wrestlers said they couldn’t do that because the fans would chew them up for it. In effect, the reactions of a small group of fans had directly influenced (arguably negatively) the styles of wrestlers in the nation’s third largest promotion.

So with smart marks you get a mixed bag. In a sense, they are a critical component of the audience that supports young wrestlers and is usually willing to part with their money to support wrestling. At their worst, they can think that what they like matters more than anything else and any wrestler who doesn’t meet their conception of greatness isn’t worth the time of day.