@MoreAnonymous 't hooft while certifiably brilliant is a hardcore contrarian and doesnt have a lot of followers and/ or defenders among the orthodoxy, this can be seen at points in the Physics chat history.
@vzn Yea I even showed it to a measure theorist who said it was interesting but I couldn't it published since it was essentially a "conjecture" and at best supplemented to a "heuristic proof"
It has basically:
A Measure theory = Dirchilet series
I was sooooo frustrated that everythin I ever did was always done before I worked on an obsure yet promising problem and suceeded
@MoreAnonymous you use Zeta without mentioning it in your prose. you seem to have some deep ideas but your writeups are hard to follow & dont really lead/ communicate the key ideas.
which reminds me, re math films (+ inspired yet hard to follow style), one on your esteemed countryman, defn this is unmissable... seen it? vzn1.wordpress.com/2016/05/10/…
@MoreAnonymous it looks like something significant but am not much knowledgeable on Riemann. would like to attack it empirically. have a neat ref relating it to fractals along with Collatz. :)
@MoreAnonymous think the real higher goal is to try to build up a cyber social group that can spend time/ attn on such problems. there are not that many people working on number theory world wide and it seems many are not into social networking.
@vzn hmm .. Maybe ur right ?? I give up too soon ...
Either way I think I can explain the problem I was attacking now fairly simply :)) All u need is a notion of Riemann integration (Integrating by subdiving area into rectangular strips) Advancec: a notion of limits
@vzn To attack empirically put all $d_r =1$ for all $r$ ... thats step 1
@vzn In india where I have a job but the job in boring and I can be on stackexchange all daayyyy ... But Im gonna start doing some physics in my spare time :)))
ah ok theres some major startups for that in US lately see them advertised (in restaurants) havent tried em... apparently they (workers) sometime end up in front of me in restaurant food lines with big orders o_O
Can we not talk about work :((( Not really passsionate about data science :((( I mean it's cool I just like my math and physics (wasn't a massive fan of computational physics though I recognise the importance of it now)
Either way I think I can explain the problem I was attacking now fairly simply :))
All u need is a notion of Riemann integration (Integrating by subdiving area into rectangular strips) Advanced: a notion of limits
Can we please talk about the coooool math formula? Me like me math and physics:P
@MoreAnonymous my research heavily involves fractals + data science techniques. (very?) few others are going in this direction. but note that eg data science + ML is showing up more in physics lately. wanna write a blog on that, have lots of links...
@vzn While it's great ... I'm also of the opinion there's point of the time evolution of the universe if u only have a black box (AI) telling u how its gonna evolve
@MoreAnonymous anyway all this is great, have been tracking many of the same topics you have, but invited you in here on QM interpretations... urge you to continue your focus on it... its very strange to me at times how many are pursuing it yet apparently how far away most of the approaches are from the real target...
@MoreAnonymous you ask about/ mention SE editing a lot. its really not very preferred on SE systems, they permit it very effectively but the use of it is not so widespread... ie use and design diverge somewhat...
@vzn but still u've convinced me to re-edit that math.stackexhange formula ... Also if u get ur head around the heuristic proof u might appreciate the "number-theoretic combinatorics" involved
@vzn Should I ask a new question then?
THough I'd have to remove the old one or something then :(((
@MoreAnonymous how much have you looked into Riemann? what have you studied? have a neat ref for you if you get around to it... but wonder 1st what youve looked at...
@MoreAnonymous try asking clearer more self contained questions :)
@MoreAnonymous want to hear a little )( more about your job, just the basics, we can move on to other topics... can certainly relate to the idea of work being stultifying at times... o_O
Riemann in this context yea ... Infact its high school level: https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-3/a/definite-integral-as-the-limit-of-a-riemann-sum
I've done physics math and learnt some elementary number theory on the internet (Also I rediscover stuff time to time ... Such as the mobius functioin)
^this is the math u need to understand the problem (not solve it) :P
Hrm. I've come across a number I know I've seen before. Trying to fit sin(ln(x))/x^2 over the nuclear force, I tried to "normalize" the length on the assumption that the nuclear force exhibited curvature. As it transpires, if the nuclear force exhibits curvature, the nucleus has to be larger than a meter in its own reference frame. I know I've encountered that before, anybody have any pointers to where I might have picked that up?
(That is, the idea that the nucleus might have internal dimensions greater than a meter)
I discovered the following relation for arbitrary $d_r$:
$$ \lim_{k \to \infty} \lim_{n \to \infty}\ \sum_{r=1}^n d_r \left( f(\frac{k}{n}r)\frac{k}{n} \right) = \lim_{s \to 1} \! \underbrace{\frac{1}{\zeta(s)} \sum_{r=1}^\infty \frac{d_r}{r^s}}_{\text{removable singularity}} \int_0^\infty...
theory salon
theory salon