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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. 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 i = 2/(p+e)."One dimensional parameter. Zero free dimensionless constants. The entire microcosm."The Joint Core - vacuum to hydrogenPart I builds the ontic sequence shared by Books IV and V: vacuum neutron (b-) proton + electron + antineutrino hydrogen. The neutron is earned as the minimal stable defect bundle on the kernel; b-decay is structural; hydrogen closes the sequence. Inside the Joint Core, the program's signature closing identity surfaces: a = (121/225) - i4, from three U(1) holonomy integrations on T2, residual 9.8 ppm against CODATA.What you will find insideQuantum mechanics as address obstruction - QM is not imported. It arises inside the kernel because compositions cannot always be resolved to a single canonical address; that obstruction is what wave-function structure encodes. Superposition, the Born rule, and self-adjoint observables are recovered as Hodge theory on T2-sections.Three generations - and no fourth - forced by H1(T2) and the window-sum obstruction W3(4)=5. Four gauge forces plus Higgs closure follow from signature classification on the five kernel generators.Four sector arcs at E1 - Electroweak; Strong and confinement; Particles, generations, nuclear; Atoms, chemistry, molecular; Condensed matter and fluid dynamics. Each is earned as a t-internal grammar before SI calibration.The Constants Ledger and the Complexity Summit - ten inter-sector couplings as rational functions of i Weinberg angle to NNLO at -0.7 ppm, W-boson mass at -0.4 ppm, Koide ratio Q = 2/3 exact, and a 10-link mass-ratio chain audited to sub-ppm.Running vs. readout - the program's replacement for renormalization-group flow. Constants are read out at sector boundaries, not run along an external scale.Falsification surfaces - N1 (no fourth generation), N2 (no SUSY), N4 (muon g-2 closing with i-NLO), N8 (no proton decay) sit on Book IV alone. A positive detection on any retires the fiber-topology branch.What this volume honestly does not doBook 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.Who this is forParticle 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9798250510929
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