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Data Analytics Data Science Mathematics Physics Statistics

Relating the Ridge and Lasso to Physics

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Mathematics Physics Statistics

Investigating Prime Numbers

In this post, I attempt to investigate the distribution of prime numbers and the famous Riemann hypothesis.

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Mathematics Movies Physics Science

On Entropy and Time Reversal

As a huge Christopher Nolan fan, I am very excited that Tenet is finally coming out this week! Here is the new and final trailer for those of you that have not seen it yet: One of the main themes in this movie will evidently be on “time inversion/reversal” based on the reversing entropy. Since […]

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Cosmology education General Relativity Mathematics Physics Science Uncategorized

Revisiting Kaluza Klein Theory

In the video below, I explain how to derive Kaluza Klein action which occurs from generalizing the Einstein-Hilbert action to five dimensions. The grand implication of this is that gravity and electromagnetism are unified!

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Cosmology General Relativity Mathematics Physics Science

New Article Published in Journal of Geometry and Physics

Our new article was recently published in The Journal of Geometry and Physics. It is shown that under certain conditions, The Einstein Field Equations have the same form as a fold bifurcation seen in Dynamical Systems theory, showing even a deeper connection between General Relativity and Dynamical Systems theory! (You can click the image below […]

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Game theory General Relativity Mathematics Physics

Lectures on Nonlinear Dynamical Systems 

Here is a link to my lectures on nonlinear dynamical systems given at York University during the Winter semester of 2017.  These lectures start off with manifold theory, and end with examples in biology, game theory, and general relativity/cosmology. 

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Cosmology General Relativity Mathematics Physics Science

Dynamical Systems in Cosmology Lectures

In the final two lectures of my differential equations class , I discussed how Dynamical Systems theory can be used to understand and describe the dynamics of cosmological solutions to Einstein’s field equations. Videos and lecture notes posted below: Lecture Notes:

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Cosmology General Relativity Mathematics Physics Science

New Cosmology Paper

New #cosmology paper: https://arxiv.org/pdf/1609.01310.pdf  Using a dynamical systems approach to provide a unifying framework for the AdS, Minkowski, and de Sitter universes. #physics #mathematics #science 

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Basketball Chicago Bulls Mathematics NBA NBA Finals NBA Playoffs Physics Science

Basketball – A Game of Geometry

In a previous post, I described the most optimal offensive strategy for the Knicks based on developing relevant joint probability density functions. In this post, I attempt a solution to the following problem: Given 5 players on the court, how can one determine (x,y) coordinates for each player such that the spacing / distance between each […]

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Cosmology General Relativity Mathematics Physics Science

Talk today at Perimeter

I have a talk today at Perimeter Institute: here are the slides.  I basically showed that even a stochastic multiverse must be generated by precise initial conditions!