Thursday, April 14, 2022

2 papers on Einstein Rosen Bridge, Ricci Flow and Ricci Curvature

Hello again,

Thanks for 60,000 visits on my blog in one night. Before coming to Einstein Rosenberg Bridge which got famous due to Movie Thor (which I used to write about in the space...) 

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
2. Semiparametric Estimates of Monetary Policy Effects: String Theory Revisited - https://economics.mit.edu/files/13030
3. Ricci Solitons & Black Holes - http://dspace.rri.res.in/bitstream/2289/3857/2/Chapter_7.pdf
4. 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

1. Curvature Invariants for Lorentzian Traversable Wormholes - This is based on Riemann tensor, Ricci tensor, Ricci scalar, trace free Ricci tensor, and Weyl tensor. 

A very deep paper based on Einstein Rosenberg and Ricci Tensor.

2. Ricci flows, wormholes and critical phenomena - This one talks about evolution of wormhole geometries under Ricci flow using numerical methods. Depending on values of initial data parameters, wormhole throats either pinch off or evolve to a monotonically growing state. The transition between these two behaviors exhibits a from of critical phenomena reminiscent of that observed in gravitational collapse.. 

Here comes Embedding diagrams of the Einstein Rosen Bridge.. 


Here comes manifold analysis of embedding diagrams, embedding diagrams after manifold & embedding diagram manifold after surgery.. 



You can watch entire video on Ricci Flow and clustering analysis which can be applied on Einstein Rosen spaces is here - 





 





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