book IV: Biogenesis and Quantum Gravity (TCD Theoretical Manifest)

Book IV: Biogenesis and Quantum Gravity (TCD Theoretical Manifest) Author: Rudolf Bandor Framework: Topological Chronodynamics (TCD) / Information Quasicrystal Theory (TIK) Project Code: Omni-Engine (v14.0 - v17.1) / Genesis Project Abstract This volume represents the fourth installment of the Theoretical Manifest of Topological Chronodynamics (TCD). Book IV crosses the ultimate boundary between "dead" physics/inorganic chemistry and the emergence of self-replicating biological life. Within the TCD framework, biological life is not treated as a random chemical anomaly, but as a strict geometric and thermodynamic necessity. When the dodecahedral lattice of space (Level D) reaches critical phase saturation, self-replication and the formation of cellular boundaries (autopoiesis) emerge as the universe's most efficient mechanisms for dissipating extreme local entropy (phase tension). This book provides the mathematical and computational proof that life exists to cool down the spatial grid. Key Discoveries and Modules in Book IV: Geometric Derivation of Chemistry: The exact bond angles of water ($H_2O$ at $104.5^\circ$) and methane ($CH_4$ at $109.5^\circ$) are derived purely from the geometric frustration of the dodecahedral quasicrystal and the Golden Ratio ($\phi$), entirely replacing classical VSEPR theory. The Origin of Chirality (Golden Twist): Computational proof that the right-handed helical structure of DNA is not a historical accident. It is a direct aerodynamic consequence of "Topological Drag" induced by the rotation of the 8D hyperspace (Level A). Evolution on the Edge of Chaos: Simulation of RNA-like replication mirroring information across the vacuum. The engine proves that mutations are topological translation errors caused by vacuum thermal noise, with the system naturally stabilizing at an ~83% geometric integrity limit (The Edge of Chaos). Digital Autopoiesis (The First Cell): The crowning achievement of Omni-Engine v17.0. A real-time simulation of a self-sustaining organism where a protective phase membrane shields an internal RNA-like core, while the core acts as a thermodynamic "Siphon," cooling the membrane from within to prevent its collapse. Dataset Contents This Zenodo record contains: Book IV (PDF): The complete theoretical manifest detailing the transition from voxel clusters to fractal evolution and autopoiesis (Chapters 1 through 14). Computational Source Codes: Fully executable Python/PyOpenCL scripts of the Omni-Engine (v14.x - v17.x), including topological combinators, DNA helix folding algorithms, and the Genesis cell simulator. Telemetry and Hard Data: Raw CSV datasets extracted from headless simulations, including tcd_replication_data.csv (mutation rates) and tcd_cell_division_data.csv (empirical proof of topological mitosis/cell division under vacuum pressure). Target Audience This publication bridges multiple disciplines and is intended for theoretical physicists, evolutionary biologists, computational chemists, and researchers in artificial life and grid-based quantum gravity. License: * Text manife