Book IV: Categorical Microcosm
The Self-Describing Universe
Parts
Two Arcs from One Neutron
The Prologue frames Book IV as a whole. Chapter 1 introduces the self-describing thesis: physics is what happens when the coherence kernel τ represents…
The Joint Core: From Neutron to Hydrogen
Part I is the Joint Core: the ten chapters that both the Complexity Arc (Book IV) and the Force Arc (Book V) require as prerequisite. Starting from the τ³…
Quantum Mechanics as Address Obstruction
Quantum mechanics is not postulated—it is derived from the τ³ geometry. The CR-structure on the fibered product τ³ = τ¹ ×_f T² couples the torus…
The Electroweak Arc
Forces are not the story—they are tools for the story. The complexity arc that began with the neutron (Part I) and continued through quantum mechanics (Part…
The Strong Sector and Confinement
The second force tool is the C-sector—the η-generator domain, χ_–dominant, with gauge group SU(3). Where the electroweak arc (Part III) was gentle, the…
Particles, Generations, and Nuclear Physics
Forces are not the destination—they are the tools. Parts III and IV surveyed the four force sectors on the E₁ spectral page: electromagnetic, weak,…
Atoms, Chemistry, and Molecular Structure
The complexity ladder ascends. Nuclei (Part V) combine with electrons to form atoms. Atoms bond to form molecules. Molecular structure, organic chemistry,…
Condensed Matter and Fluid Dynamics
Parts II through VI studied the fiber T² one particle at a time: individual defect bundles, their quantum addresses, their interactions, their chemical…
The Constants Ledger and the Complexity Summit
Part VIII draws together every constant, every derivation, every structural theorem developed throughout Book IV. The complete coupling ledger (Chapter…
Reading edition
This is the Corpus projection of Book IV. It exposes the monograph in Book → Part → Chapter order as part of the constructed research body.
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About This Volume
The Prologue frames Book IV as a whole. Chapter 1 introduces the self-describing thesis: physics is what happens when the coherence kernel τ represents itself on its own boundary. The fiber–base decomposition splits τ³ into microcosm (fiber T², Book IV) and macrocosm (base τ¹, Book V), and the Hermetic Principle declares their union complete. Two arcs traverse this physics: the Complexity Arc (Book IV) climbs from the neutron through atoms, chemistry, fluids, and computation; the Force Arc (Book V) descends from gravity through gauge forces and cosmology. Both arcs share a common root—the Joint Core of Part I—and both are powered by a single constant: ιτ = 2/(π + e).
Chapter 2 collects the three deliverables inherited from Books I–III—the five generators, the 4+1 sector template, and the E₁ export contracts—so that nothing need be re-derived.
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