Black are not merely cosmic sinks they are engines. This book reveals that three seemingly different mechanisms particle splitting, wave and electromagnetic extraction are deeply unified by a single physical principle: the reversal of energy flow in curved spacetime.

THE ENDLESS QUESTIONTHE STORY OF THE UNIVERSE. OUR SEARCH FOR MEANING.Where did the universe come from? What is it made of?Will it last forever? And what is our place in it all?The Endless Question is an illustrated journey through the biggest ideas in science and philosophy-from the Big Bang to the far future, from the nature of time to the limits of knowledge. Along the way, it explores the mysteries that continue to challenge-and inspire-huma...

ONE UNIVERSE. ONE ARITHMETIC. ONE TRUTH.This book reveals a radical yet coherent vision of reality.The universe is an arithmetic structure written in the language of primes. From the quiet layer of the perfectoid to the vast cosmic web, from dark energy to future civilizations-information is the foundation, coherence is the force, and arithmetic is the law.Through twelve gates, we journey from first principles to the far future, uncovering a hidden geometry that u...

A GENERALIZATION OF HOLOGRAPHYThe Maldacena conjecture revealed a profound duality between gravity in an asymptotically Anti-de Sitter spacetime and a quantum field theory living on its boundary. This book proposes a bold generalization: replacing the smooth conformal boundary with the Primacohedron-a finite polyhedron whose faces correspond to prime numbers.In this new framework, the holographic principle is enriched by arithmetic structure, entanglement geometry, and qu...

What if machine learning could be understood geometrically?This book presents a unified geometric perspective on machine learning, statistics, and data science through the language of geometric algebra.From linear models and principal component analysis to neural networks, attention mechanisms, and time series systems, modern methods are reinterpreted as geometric transformations in n-dimensional spaces.Rather than treating techniques as isolated tools, this book re...

More than a century after Srinivasa Ramanujan's discoveries, his extraordinary identities continue to illuminate some of the deepest structures in mathematics.This book explores the remarkable connections between Ramanujan's infinite series, modular forms, theta functions, automorphic representations, Hilbert-Pólya theory, random matrix statistics, adelic harmonic analysis, Langlands correspondences, and noncommutative geometry.Moving from classical analytic number theory t...

A UNIFIED VISION OF REALITYThe Primacohedron is the geometric embodiment of arithmetic resonance. Built from the prime frequencies of existence, it unifies arithmetic, geometry, information, physics, and cosmology in a single coherent framework. Each face is a blade, each resonance a thread, each connection a law of nature.ARITHMETIC RESONANCEPrimes resonate at frequencies ωₚ = ln p, forming the foundation of all structure.GEOMETRIC EMERGENCEFa...

Where number theory becomes spacetime.Across mathematics and physics, few ideas have been as tantalizing-and as elusive-as the possibility that the deep structure of the universe is secretly arithmetic. The Primacohedron gives shape to this intuition: an adelic, spectral, and geometric framework in which the prime numbers act not as abstract multiplicative atoms, but as the fundamental oscillators of time, curvature, and information.Drawing from p-...