Категориальный микрокосм: Самоописывающаяся вселенная: 4

Book IV — Categorical Microcosm is the most empirically anchored volume of the Panta Rhei Research Program. Once Books I–III earn the kernel and the universal operator, Book IV reads the fiber T² as the arena of quantum mechanics, particle physics, atoms, chemistry, condensed matter, and fluids. Every dimensionless prediction is a closed-form rational function of one master constant ιₜ = 2/(π+e). “One dimensional parameter. Zero free dimensionless constants. The entire microcosm.” Part I builds the ontic sequence shared by Books IV and V: vacuum → neutron → (β−) → proton + electron + antineutrino → hydrogen. The neutron is earned as the minimal stable defect bundle on the kernel; β-decay is structural; hydrogen closes the sequence. Inside the Joint Core, the program’s signature closing identity surfaces: α = (121/225) · ιₜ⁴, from three U(1) holonomy integrations on T², residual 9.8 ppm against CODATA. Book IV derives ratios, not absolute masses. Every L₁ identity is dimensionless; the single SI anchor, the neutron mass, is consumed once, in Book V. Roughly fifty of sixty-seven L₁ identities are post-dictions under the program’s structural a-priori discipline; the timing ledger is published rather than concealed. TauLib Lean 4 formalization on Book IV sits near 52%; every theorem carries a scope label and registry entry. Particle physicists who want the Standard Model’s dimensionless content rewritten as one master constant; chemists and condensed-matter researchers who want atomic and molecular structure derived rather than parameterized; calibration-skeptical reviewers who want a written running-vs-readout discipline; and category-minded readers who want QM to emerge as Hodge theory on a fiber. Read it as an observatory: every claim is scope-labeled, registry-mapped, Lean-audited. 479 pages · 9 parts · 73 chapters · layer E₁ of the Panta Rhei enrichment ladder.