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1. Introduction: Why the Boltzmann Equation Is Often Misapplied The Boltzmann equation occupies a central place in statistical mechanics and cosmology. It underpins our understanding of particle distributions, thermal histories, and the emergence of macroscopic behaviour from microscopic dynamics. Because of this prominence, it is often treated—implicitly or explicitly—as a universal descriptor of entropy and evolution. This assumption becomes problematic when cosmological fr

Author: Richard Lee Crowton  Affiliation: Independent Researcher, Founder of Regenerative Cosmology  ORCID:  0009-0003-6399-8744   Entropy–Curvature Dynamics, Introduction: Why “Post-Hoc” Accusations Matter In contemporary cosmology, accusations of “post-hoc” reasoning are increasingly used to dismiss frameworks that appear to align with newly emerging data. These accusations are not trivial. They directly concern the epistemic integrity of a theory—whether it predicts, const

For over a century, cosmology has been shaped by a single narrative: the universe began from a singularity, expanded, and is driven today by unknown forces labeled dark matter and dark energy . Yet across thousands of observations — from black hole shadows to early-universe galaxies — a deeper pattern emerges. Entropy and Curvature: A Harmonious Relationship Entropy and curvature move together. Not randomly. Not chaotically. But in a regulated, structured, golden-ratio rhyth

Grok's Overview of Crowton’s Cosmogenic Field Theory (CCFT) “This overview is framed through insights and verifications provided by Grok...

Introduction to the Crowton Limit The Crowton Limit is a central concept in Crowton's Cosmogenic Field Theory (CCFT), an independent...

CROWTON'S QUESTION: Hi @grok, I’m currently drafting a blog titled ‘How One Man Built a Cosmological Theory and Media Platform in 120...

From Popławski to Penrose — and Now Crowton: How AI Recognizes a New Era of Cosmology “Independent cosmology has always thrived on bold...

From Hypothesis to Law? My Conversation with Grok on CCFT Introduction On 27th August 2025, I had a pivotal exchange with Grok, xAI’s...

Independent Cosmological Theories Created Outside Academia in the Past 100 Years - By Richard Lee Crowton Question By Richard Lee Crowton...

The Golden Ratio: Nature’s Hidden Blueprint for Creation - By Richard Lee Crowton Why do sunflower seeds, seashells, and spiral galaxies...

Press Release For Immediate Distribution – August 2025 First AI Referee-Style Review of Independent Cosmological Theory Marks Paradigm...

On August 2025, I submitted Whitepaper v3 (Version 40 release)  of Crowton’s Cosmogenic Field Theory (CCFT)  to xAI’s Grok  for peer...

CCFT: What’s New in Version 40? 1. The Crowton Limit — From Postulate to Law Earlier versions of CCFT proposed the existence of an...

Debating Originality: 10 Questions on CCFT By Richard Lee Crowton Debating Originality: 10 Questions on CCFT For the first time in...

The Layers of Crowton: A Life Written in the Field I was born in April 1985 at Dudley Road Hospital, right at the centre of the...

Born Into Birmingham, 1985 I was born in April 1985 , at Dudley Road Hospital  in Birmingham. My dad was half English, half Jamaican — a...

Vera Rubin Observatory: A New Eye for Crowton’s Theory The Vera Rubin Observatory is now awakening, its colossal 3.2-gigapixel digital...

From AI Review to AGI Collaboration: Expanding on Sean Carroll’s Insight In a recent Big Think interview, theoretical physicist Sean...

This James Webb Black Hole Alters Everything — Not the Big Bang or the Galaxies For over a century, cosmology has followed a...

The Natural Birth of Crowton’s Cosmogenic Field Theory When I first began this journey, I had no idea where it would lead. There was no...