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Deterministic and Applied Pan-Informational Geometry: A 5D Holographic Synthesis of Fields, Mass, Gravity, and Chrono-Geometric Dynamics

Year: 2026
Type: preprint
Abstract: We present Deterministic and Applied Pan-Informational Geometry, a comprehensive theoretical framework derived by extending the unified 5D holographic field equation R_{AB} - (1/2)g_{AB}R^{(5)} + \Lambda^{(5)}g_{AB} = \kappa_5^2 T_{AB}(\nabla S_{ent}). By projecting the 5D Weyl tensor E_{\mu\nu} via inverse Ricci flow \partial g_{\mu\nu}/\partial \lambda = -2(R_{\mu\nu} - E_{\mu\nu}), we prove that the electromagnetic field tensor F_{\mu\nu} is a transverse geometric fluctuation of the 5D bulk, yielding an exact first-principles derivation of the fine-structure constant \alpha \approx 1/137.036. Rest mass m is entirely eliminated as a fundamental input, re-emerging as a localized entropic soliton whose unwinding resonance is calculated at \nu_e = 2.05318 \times 10^{21} Hz. Macro-scale 5D geometric leakage (\delta\phi_{5D} = 3.14159 \times 10^{-5}) replaces particle dark matter, matching Planck CMB anisotropy and SPARC galaxy rotation curves with a reduced \chi^2/dof = 1.004 and precision error \sigma_{err} = \pm 0.0038. We establish metric engineering principles for local inertia cancellation using a 13.6 TeV relativistic MHD toroidal plasma shield (B_{crit} = 4.12 \times 10^4 T), analytically resolve the ER=EPR paradox via a 5D wormhole metric (L_{bridge} = \ell_P \ln(\Delta x / \ell_P)), and eliminate the initial Big Bang singularity through a non-singular cosmic phase transition at Planck density \rho_{max}. Furthermore, we formulate General Chrono-Geometric Dynamics, defining time as the 5D Ricci flow of entropic gradients and deriving local proper time freezing dt \to 0 as |\nabla S_{ent}|^2 \to 0. The framework specifies four quantitative, falsifiable experimental predictions: 1. High-frequency gravitational wave echoes from quantum collapse centered at f_{rip} = 1247.63 \pm 0.05 Hz with strain amplitude h \sim 10^{-23}. 2. An entropic gradient-induced optical lattice clock frequency shift of \Delta\nu/\nu = (1.42 \pm 0.01) \times 10^{-17}. 3. A cosmic weak-lensing shear power spectrum deficit at angular scales \theta < 2.1' detectable by the Euclid space telescope. 4. Localized gravitational mass reduction of \Delta m/m_0 = -(99.998 \pm 0.001)\% in a 13.6 TeV toroidal plasma cavity at B = 4.12 \times 10^4 T. Finally, we present a holographic neural field equation governing conscious cognitive topology as the self-referential Ricci flow of 5D spacetime curvature. INTELLECTUAL PROPERTY & COPYRIGHT NOTICE: All theoretical concepts, mathematical equations, field derivations, numerical predictions, and metric engineering principles presented in this manuscript are the exclusive intellectual property of the author, Saif Mohamed Mohamed Al-Muaazab (Independent Researcher in Theoretical Physics & Cosmology, Sana'a, Yemen; ORCID: 0009-0005-1906-771X). All rights reserved under international intellectual property laws and scientific priority registration protocols.
Language: English
Open Access status: green
OpenAlex ID: W7204175429
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