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Cosmology General Relativity Mathematics Physics Science

Making a Cosmological Model

What goes into making a cosmological model? Here is a presentation (that was part of my Ph.D. dissertation) that I have reproduced and embedded here to describe what actually goes into the making of a cosmological model. After describing some general properties, I describe specifically a early-universe model that contains a viscous fluid and a […]

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Biology Cosmology education Evolution General Relativity Mathematics Physics Religon Science

A Series of Lectures on Fine-Tuning in Biology

A recent lecture and a series of interviews has been posted online where cosmologist George F.R. Ellis discusses the issue of fine-tuning in biology at considerable length and in considerable detail. Of course, the larger theme here is that to discuss and understand things like Darwinian evolution properly, one needs to have an understanding of […]

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Cosmology education General Relativity Mathematics Physics Science

On Gravitational Waves

Since I expect the concept of gravitational waves to once become very popular in the next few days, I wrote some quick notes on them, I.e., where they come from. They are handwritten, as I didn’t have time to LaTeX them, but, hopefully, they’ll be useful to interested readers!  Also note that, gravitational waves are […]

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Cosmology education General Relativity Mathematics Physics Science

Equations Published in a Cosmology Textbook

One of my earliest works was deriving equations which themselves were forms of Einstein’s field equations that described the state of the early universe, which may have had dominant viscous effects. I was delighted to learn that these equations were published in Springer’s Handbook of Spacetime Cosmology textbook. Here is a snapshot of the textbook […]

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Cosmology education Mathematics Physics Science

On The Acausality of Heat Propagation

In many physics and chemistry courses, one is typically taught that heat propagates according to the heat equation, which is a parabolic partial differential equation: , where is the thermal diffusivity and is material dependent. Note also, we are considering the one-dimensional case for simplicity. Now, let be a solution to this problem, which represents […]

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Biology Cosmology Evolution Mathematics Physics Religon Science Statistics

Mathematical Origins of Life

The purpose of this post is to demonstrate some very beautiful (I think!) mathematics that arises form Darwinian evolutionary theory. It is a real shame that most courses and discussions dealing with evolution never introduce any type of mathematical formalism which is very strange, since at the most fundamental levels, evolution must also be governed by […]

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Cosmology General Relativity Mathematics Physics Science

Black Holes, Black Holes Everywhere

Nowadays, one cannot watch a popular science tv show, read a popular science book, take an astrophysics class without hearing about black holes. The problem is that very few people discuss this topic appropriately. This is further evidenced that these same people also claim that the universe’s expansion is governed by the Friedmann equation as […]

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Science

Some of Lemaitre’s Contributions

Many have no doubt heard of Lemaitre’s important contributions to cosmology theory. In this brief post, I provide links to Lemaitre’s original papers: 1. Lemaitre proposing that the universe is expanding: Full paper available here for free 2. Lemaitre proposing that the universe had a beginning, the original Big Bang model: Full paper requires subscription […]

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Religon Science

A Universe from Nothing

Many people have obviously been reading Lawrence Krauss’ infamous book: “A Universe from Nothing: Why There is something Rather Than Nothing” Krauss and many other physicists continuously engage in this type of low-level philosophy with the ironic goal of diminishing the value of philosophy using “science”. This paper dissects all the arguments in Krauss’ book […]