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Main Author:	Morató de Dalmases, Luis
Format:	Recurso digital
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Published:	Zenodo 2025
Online Access:	https://doi.org/10.5281/zenodo.16968328
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Table of Contents:

<h3>1. Annex Point 10: Mixed Continuity (Euler–Adelic) and ABC Coupling in the Theory of Time</h3> Author: Luis Morató de Dalmases File: <code>1. Annex Point 10 Mixed Continuity (Euler–Adelic) and ABC.pdf</code> Abstract: This annex establishes a mathematically justified mixed continuity law for the Theory of Time (TT), unifying: (i) the physical continuity of an eonic/cronionic density field via Euler-type hydrodynamics, and (ii) a global adelic continuity encoded by an Euler product over local places (finite primes p and the archimedean place ∞). The link is mediated by the ABC vector ABC(t), which indexes temporal (A), spatial (B), and causal (C) components. License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>2. Proposed Resolution of Hilbert’s Sixth Problem via the Theory of Time (TT)</h3> Author: Luis Morató de Dalmases File: <code>2. Proposed Resolution of Hilbert’s Sixth Problem.pdf</code> Abstract: We present an operational axiomatization of physics based on a fundamental space of temporal configurations—cronion histories—and a measure defining amplitudes and probabilities. Under scaling and symmetry hypotheses, quantum mechanics, classical mechanics, and field equations emerge as projections from this structure. The Born rule is derived as a conditioned measure, consistent with Kolmogorov’s axioms.  License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>3. 3. Demonstration and verification of the Theory of Time (TT) from the mathematical structure to experimental predictions</h3> Author: Luis Morató de Dalmases File: <code>3. Demonstration and verification of the Theory of Time.pdf</code> Abstract:  1️⃣Complete mathematization - Measure and probability Prove completely the consistency of the measure  on the chronion space , including the decay over fibers = ^-1 (x) Formally establish the connection with Kolmogorov probabilities and show that the Born Rule emerges rigorously. - Dynamics  Prove that the unitary semigroup { } is completely self-adjoint and that the projections give rise to the effective Schrödinger equation. Formalize the classical (Hamilton-Jacobi) limit for large chronion systems. - Eonional and 10-adic encapsulation Prove that coherence within an eonion correctly performs the transition from microscopic dynamics (chronions) to mesoscopic modes (DEQs). Fully formalize the properties of 10-adic and demonstrate their compatibility with physical predictions. 2️⃣ Connection with existing physics - Show that TT recovers QFT and classical mechanics in the appropriate limits, including: Locality (Wightman / Haag-Kastler). Symmetries (Poincaré and possible generalizations). Dynamics of oscillations and particle interactions. - Derive mesoscale physical effects, such as DEQs, with detailed calculations that connect with spectroscopy, interferometry and cosmology. 3️⃣ Experimental predictions - Out-of-phase photons It is necessary to define precise protocols and perform simulations that show the 10-adic patterns and phase peaks. - DEQ Validate the presence of resonances in smFRET experiments or other biological systems. - Temporal Antimatter Measure advanced/delayed correlations in pair production  + − and statistically establish their relationship with chronions. - Cosmological eonions Detect signatures in the CMB or other global observables that corroborate the proposed topological structure. 4️⃣ Simulation development - Generate a complete computational model of chronions within eonions, coupled to DEQs and out-of-phase photons. - Perform numerical simulations to: Verify temporal coherence. Reproduce experimental phase patterns and resonances. 5️⃣ Theoretical rigor - Prove central theorems: Separability and completeness of the Hilbert TT space. Emergence of the Born Rule and compatibility with classical probability. Existence and convergence of classical and quantum limits. License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>4. Technical Annex: Mathematical Demonstration of Exact and Ultraexact Infinities with 10-Adic Notation in the Theory of Time</h3> Author: Luis Morató de Dalmases File: <code>4. Annex Mathematical Demonstration Exact_ Ultraexact.pdf</code> Abstract: This annex formalizes exact and ultraexact infinities in the Theory of Time (TT) using 10-adic number theory, providing a rigorous mathematical framework for chronions, temporal lines, and Dark Energy Quasiparticles (DEQs). Adapting Cantor’s diagonal argument, we demonstrate exact infinities (&alefsym;0, 2&alefsym;0) and define ultraexact infinities as structured sets with cardinalities exceeding their base sets, modeled via 10-adic sequences.  License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>5. Annex: Time Theory — Markov Chains, 10-adic Encoding, Subshifts, and QED</h3> Author: Luis Morató de Dalmases File: <code>5. Annex Time Theory — Markov Chains, 10-adic.pdf</code> Abstract: The Theory of Time (TT) proposes that past, present, and future coexist within a single continuum. This means that each event can give rise to multiple temporal lines, each with its own trajectories and possibilities. Modeling the complexity of these interactions requires advanced mathematical tools capable of capturing probabilities, dynamics, and topological relationships, and this is where Generalized Markov Chains (GMC), and 10-adic numbers come in. License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>6. Temporal Boundary Value Problems and the Time Theory with Chronions</h3> Author: Luis Morató de Dalmases File: <code>6. Temporal Boundary Value Problems and the Time Theory.pdf</code> Abstract: The goal is to demonstrate that the classical Cauchy problem (initial value problem) is inade quate for describing the Time Theory (TT), which requires global temporal coherence between past and future. We will show that the bilateral temporal boundary value problem (conditions at past t0 and future t1) for hyperbolic equations, such as the wave equation, is generally ill posed.  License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>7. Comprehensive Time Theory with Classical Cauchy Problem and Extended Structures</h3> Author: Luis Morató de Dalmases File: <code>7. Comprehensive Time Theory with Classical Cauchy.pdf</code> Abstract: This annex presents a unified Time Theory (TT) framework, integrating PDEs with global chronion conditions, fractal coding, Markov chains, game theory, exact and superexact infinities, and advanced structures including the classical Cauchy problem, Hilbert’s Sixth Problem, 4D tesseracts, E8×E8 symmetry, the ABC vector, landlongs, eonions, DEQ, defast photons, dark matter, black holes, antimatter, S3, S2, p-adic numbers, temporal knots (e.g., Conway knot), Euler’s classical continuity equation with an adelic correction, quantization conditions as transcendental equations, G¨odel’s incompleteness theorem, Faraday-Lenz’s law with a TT perspective, the fine-structure constant (α ≈ 1/137), temporal attractors (6174, 1/137, Z0), odd perfect numbers, Goldbach conjecture, twin primes, Legendre’s conjecture, generalized Polignac conjecture, and Hardy-Littlewood k-tuples.  License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>8.  Bayes’ Rule and Markov Chains within Time Theory (v0.2)</h3> Author: Luis Morató de Dalmases File: <code>8. Bayes’ Rule and Markov Chains within Time.pdf</code> Abstract: This technical annex formalizes the integration of Bayes’ rule and Markov chains into a probabilistic model of time within the Time Theory (TT) framework. It proposes standard notation, detailed derivations, expanded numerical examples, advanced extensions (HMM, particle filters, continuous time), and specific applications to timelines, portals, and ritual activations. License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike) <h3>9. Heisenberg Uncertainty within Time Theory: Mathematical Derivation (v0.2)</h3> Author: Luis Morató de Dalmases File: <code>9. Heisenberg Uncertainty withinTheory of Timey.pdf</code> Abstract: This annex formalizes and proves how the Heisenberg uncertainty principle (position-momentum and time-energy) manifests within the Bayes-Markov framework with temporal holonomies in Time Theory (TT). It demonstrates that simultaneous determination of ”temporal geometry” (velocity/curvature of evolution) and energy precision is impossible, leading to an uncertainty in temporal trajectories. License: Creative Commons Attribution 4.0 (CC-BY 4.0) (Attribution - NonCommercial - ShareAlike)

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