Pure Time Theory - Chapter X - What physics can read — and what it cannot | Zenodo Skip to main Communities My dashboard Log in Sign up There is a newer version of the record available. Published April 24, 2026 | Version v8 Publication Open Pure Time Theory - Chapter X - What physics can read — and what it cannot Authors/Creators Allou, Essam Description This chapter derives the principal reading structures associated with quantum mechanics and general relativity from five axioms — four classical (closed 4D volume, cohesion, rotation, elasticity) and one non-classical (asymmetric spectral molding of one cone by the non-trivial zeros of the Riemann zeta function) — using only finitary arithmetic, circle geometry, and generic classical mechanics. The derivation chain proceeds as follows. Classical mechanics imposes a biconic geometry (diabolo) with six transverse jets. Asymmetric molding selects one cone, générâtes the arrow of time, and produces discrete interfaces whose shear frees matter in the molded cone. Hooking reconstructs a structured 3D space: mirror bonds (automatic, maximally compact) and conditional harmonic bonds (threshold η = 1/(8q)) organise free patterns into micro-chains. Mass is derived as substrate-borne differentiation tension; the three Standard-Model interaction regimes are identified as mirror, harmonic, and background hooking channels. Temporal coherence is shown to require all active zeros on the critical line (RH lock). The Born rule emerges as the squared Euclidean norm of a sum of unit phase vectors, with interference as trigonometric cross terms and collapse as write-then-freeze. The quantum of action ¯h is forced by delta-only factorisation and finite concatenation additivity; the Schrödinger equation follows as continuous compression of a finite channel recurrence. The identity E = mc2 is derived from the finite work and impulse laws applied to a carrier at the fixed propagation bound. The gravitational route derives the saturation index χ, the local clock Cloc = 1 − χ, the propagation speed c = cbg(1 − χ), geodesics as proper-time minimisers, and horizons at χ = 1, without importing a postulated metric. The cosmographic closure derives a ratio-first pure-time freeze law and a packetwise dual reading: three transverse slots (3/4) support spatial structure, while one axial slot (1/4) carries temporal succession. These two readings partition the packet without doubling it; quantum and gravitational physics appear as complementary reading regimes of the same substrate. No Hilbert space, no postulated metric, no primitive probability, no wave equation, and no free continuous parameter are used. The chapter concludes with a structural isomorphism between the derived reading grammar and Quranic ontological invariants, presented not as theological proof but as ontological convergence. Chapters I through IX constitute the preparatory ontological inquiry that makes possible the technical closure proposed here. Files PTT_Genese_Chapitre_X_vEN14_3.pdf Files (1.5 MB) Name Size Download all PTT_Genese_Chapitre_X_vEN14_3.pdf md5:527f8816f803147d2adc10fded7faef0 1.5 MB Preview Download 586 Views 309 Downloads Show more details All versions This version Views Total views 586 19 Downloads Total downloads 309 10 Data volume Total data volume 455.7 MB 18.0 MB More info on how stats are collected.... Versions External resources Indexed in OpenAIRE Communities Keywords and subjects Keywords Pure Time Theory PTT quantum mechanics foundations general relativity derivation Born rule derivation Riemann hypothesis ontology of physics delta-only principle finitist physics unification QM-GR spectral geometry harmonic reconstruction causal stratification Foundations of physics EuroSciVoc Mathematical physics Details DOI DOI Badge DOI 10.5281/zenodo.19745849 Markdown [](https://doi.org/10.5281/zenodo.19745849) reStructuredText .. image:: https://zenodo.org/badge/DOI/10.5281/zenodo.19745849.svg :target: https://doi.org/10.5281/zenodo.19745849 HTML <a href="https://doi.org/10.5281/zenodo.19745849"><img src="https://zenodo.org/badge/DOI/10.5281/zenodo.19745849.svg" alt="DOI"></a> Image URL https://zenodo.org/badge/DOI/10.5281/zenodo.19745849.svg Target URL https://doi.org/10.5281/zenodo.19745849 Resource type Publication Publisher Zenodo Languages French, English Rights License Creative Commons Attribution 4.0 International The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited. 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