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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

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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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! 

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Cosmology General Relativity Mathematics Physics Science

The Possible Initial States of The Universe

Most people when talking about cosmology typically talk about the universe in one context, that is, as a particular solution to the Einstein field equations. Part of my research in mathematical cosmology is to try to determine whether the present-day universe which we observe to be very close to spatially flat and homogeneous, and very […]

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Data Analytics Data Science Elections Mathematics Politics Statistics

2016 Real-Time Election Predictions

Further to my original post on using physics to predict the outcome of the 2016 US Presidential elections, I have now written a cloud-based app using the powerful Wolfram Cloud to pull the most recent polling data on the web from The HuffPost Pollster, which “tracks thousands of public polls to give you the latest […]

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Elections Mathematics Physics Politics Science Statistics

Protected: Physics, Data, and The 2016 US Elections

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Cosmology General Relativity Mathematics Physics Science

Attempts at a General Einstein Equation for an Arbitrary FLRW Cosmology

I tried to derive a general Einstein field equation for an arbitrary FLRW cosmology. That is, one that can handle any of the possible spatial curvatures: hyperbolic, spherical, or flat. Deriving the equation was easy, solving it was not! It ends up being a nonlinear, second-order ODE, with singularities at a=0, which turns out to […]

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Cosmology General Relativity Mathematics Physics Science

New paper published on cosmological singularities

My new paper has now been published in Annalen der Physik, which is a great honour, because 100 years ago, Einstein’s General Theory of Relativity was also published in the same journal. This paper describes a method by which one is able to determine whether a given spatially flat cosmological model produces finite-time singularities, and […]