20120910, 16:36  #1  
"Gang aft agley"
Sep 2002
111010101010_{2} Posts 
Latest abc conjecture proof news
(nature.com) Proof claimed for deep connection between primes
Quote:
blogs: On, Not Even Wrong. Proof of the abc Conjecture?: Quote:
mathoverflow: Philosophy behind Mochizuki’s work on the ABC conjecture Last fiddled with by only_human on 20120910 at 17:24 Reason: updated search URL. Added blog quote and links. I intended to place this thread in misc. math 

20120911, 07:13  #2 
Romulan Interpreter
"name field"
Jun 2011
Thailand
7×1,423 Posts 
This could turn out to be wonderful news! It may be the most important proof of the 21st century. No kidding. It worth a separate topic here.
Now my question is what should be the effect of this for Beal's Conjecture, and the bonus of 200k bucks. Certainly if the ABC conjecture is true (and most probably it is, regardless of the fact if the current proof turns out to be correct or to have flaws), then there are only a finite number of solutions for Beal's problem. The award however is given for a specific solution (i.e. counterexample), or a proof that NONE exists. Proving that there are not many and that there is none is not the same thing. Anyhow, certainly our don blazys totally lost his chance to prove it and take the money and the glory... [edit: I am a bit nostalgic to this subject, I played with Beal's conjecture myself for a while, without any result, and this is how I came to mersenneforum.org, one of my friends pointed me to "the best source of fun i read in the last time" (his words, unfortunately he never posts here, but occasionally reading only, he says posting on forums is wasting of time), and there was my first post on this forum]. Last fiddled with by LaurV on 20120911 at 07:28 
20120911, 09:10  #3  
"Gang aft agley"
Sep 2002
2×1,877 Posts 
Quote:
Quote:


20120911, 18:22  #4 
"Mark"
Apr 2003
Between here and the
2^{6}×103 Posts 

20120911, 19:04  #5  
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
2^{2}×3×941 Posts 
Quote:


20120914, 19:57  #6  
Bamboozled!
"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across
2^{2}·3·941 Posts 
Quote:
The basic assumption is that of the existence of scalar field \varphi which couples to the curvature to produce a modified gravitational field. \varphi is assumed to have zero divergence over the universe so, if not constant, must have both repulsive and attractive components, corresponding to dark energy and dark matter respectively. What I don't yet understand is why the two components aren't of equal magnitude. Observation suggests that dark energy is greater by a factor of several. A nice point is that solutions to the modified field equations exist with T_{00} nonzero. This, the timetime component of the stressenergy tensor, is identified with the energy density of the CMB. Not yet seen anything grossly wrong with the theory, though I wouldn't expect to, and look forward to more sensitive tests of it. 

20121002, 11:52  #7 
"Mark"
Apr 2003
Between here and the
2^{6}×103 Posts 
Another claim for proof of Goldbach's Conjecture
I have not read the article yet, but the mathematician behind it does not appear to be a crank. 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Claimed proof of the ABC conjecture (Zha, 2009)  R.D. Silverman  Math  6  20190422 00:03 
Collatz Conjecture Proof  Steve One  Miscellaneous Math  21  20180308 08:18 
yet another 'proof' of the legendary conjecture  guptadeva  Miscellaneous Math  69  20180103 05:52 
The Beal Conjecture Proof  Arxenar  Miscellaneous Math  1  20130907 09:59 
Proof of Goldbach Conjecture  vector  Miscellaneous Math  5  20071201 14:43 