Friday, August 5, 2022

Stable Blackholes, Perelman, Ricci Curvature, Why not CurvGAN for Ricci Curvature for Lemma calculation..

Hi guys,

I am superhappy today. It's has been proven today that block holes are stable In a 912-page paper posted online on May 30, Szeftel, Elena Giorgi of Columbia University and Sergiu Klainerman of Princeton University ( https://arxiv.org/abs/2205.14808 ) Dr. Yau from Harvard has announced this paper as breakthrough of the century. Reminds me of my U of A-NASA LPL RA days, when I used to analyze pixel data sent by Mars Rover in Mars Mission.

I have been talking about Ricci Curvature & Blackholes since a lot=ng time which you can find in my blog. This paper uses some of those concepts Ricci Curvature, Hawking vector field. 

For reference you can see my blog 1. https://researchcircle.blogspot.com/2022/03/maryam-mirzakhani-mirror-symmetry-swarm.html  - 

Perelman's 2008 paper (a small note) The entropy formula for the Ricci flow and its geometric applications says that he did not know enough about Blackholes & (pseudo)-riemannian geometry, Ricci Flow, Black Hole Thermodynamics, etc https://arxiv.org/pdf/math/0211159.pdf


Hence I was writing about Tensors, Ricci Curvature, Hawking vectorfield, Ramanujan Sparce Neural Networks, CurvGAN. etc. 

2. https://researchcircle.blogspot.com/2022/04/2-papers-on-einstein-rosenberg-bridge.html

Perelman's (Field Medalist in 2010 who rejected Field Medal first time in 150 years after solving Poincare Conjecture which was unsolved for 100 years) 2008 paper The entropy formula for the Ricci flow and its geometric applications says that he did not know enough about Blackholes & (pseudo)- Riemannian geometry, Ricci Flow, Black Hole Thermodynamics, etc https://arxiv.org/pdf/math/0211159.pdf


Hence, I thought a perfect way to apply Perelman's work was AI, Data Science (please see my Ricci Flow- https://www.youtube.com/watch?v=z_pjsJisdHQ&t=26s ) & Econophysics using black hole thermodynamics etc. 

I see few papers published on this topic these days -
1. Trading networks and Hodge theory - https://iopscience.iop.org/article/10.1088/2399-6528/abd1c2/pdf

Most importantly, this paper could have been shorter using some of the AI & ML techniques such as 
1. CurvGANs for Ricci Curvature - Curvature Graph Generative Adversarial Networks - https://arxiv.org/pdf/2203.01604.pdf 
2. Causal Future Prediction in a Minkowski Space-Time - https://thanosvlo.github.io/publication/cones/
3. Some Swarm intelligence for tensor calculation

Applications in Econophysics - I have written a lot about Ricci Curvature & Econophysics in my previous posts. Some of the papers in Econophysics which can leverage the Lemma calculation methods in. the paper are - 

A. Semiparametric Estimates of Monetary Policy Effects: String Theory Revisited - https://economics.mit.edu/files/13030
B. Ricci Solitons & Black Holes - http://dspace.rri.res.in/bitstream/2289/3857/2/Chapter_7.pdf
C. Entropy of Reissner–Nordström 3D Black Hole in Roegenian Economics - https://www.semanticscholar.org/paper/Entropy-of-Reissner%E2%80%93Nordstr%C3%B6m-3D-Black-Hole-in-Udriste-Ferrara/fb2052f27e6700fed05ae259d63232639b465643
D. Network geometry and market instability -https://royalsocietypublishing.org/doi/10.1098/rsos.201734


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