Unified Manifold Theory (UMT): A 59-Dimensional Geometric Synthesis of Cosmology, Gravitation, and Quantum Mechanics

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-30
DOI
https://doi.org/10.5281/zenodo.20453760
Primary Topic
Cosmology and Gravitation Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

Unified Manifold Theory (UMT): A 59-Dimensional Geometric Synthesis of Cosmology, Gravitation, and Quantum Mechanics

Abdelilah AHMOURI
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
article

Unified Manifold Theory (UMT): A 59-Dimensional Geometric Synthesis of Cosmology, Gravitation, and Quantum Mechanics

Abdelilah AHMOURI
article en

Abstract

The Unified Manifold Theory (UMT) introduces a radical departure from the traditional four-dimensional physical paradigm, proposing a 59-dimensional deterministic geometric framework to resolve the fundamental tensions in modern cosmology and particle physics. By postulating a 59-dimensional manifold (\mathcal{M}_{59}) consisting of a 4D brane (\mathcal{B}_4) embedded within a 55D bulk (\mathcal{K}_{55}), this theory redefines physical constants and phenomena as emergent properties of geometric embedding. Core Theoretical Framework: The theory operates under the symmetry group D_{SO8}=8, where the dynamics of the observable universe are governed by the brane's motion through the higher-dimensional bulk. This geometric synthesis offers a deterministic resolution to several long-standing physical crises: Cosmological Constant: The theory interprets \Lambda not as vacuum energy, but as a bulk-induced pressure gradient determined by the ratio of the manifold’s dimensions (\Omega_{\Lambda} \approx 0.7966). Hubble Tension: We reconcile the discrepancy between local and CMB-derived expansion measurements by identifying a "Topological Drag" effect, a resistance force encountered by the brane as it moves through the 55D vacuum, resulting in a shift in local Hubble measurements (H_{local} \approx 73.10 km/s/Mpc). Dark Matter: Instead of non-baryonic particles, Dark Matter is revealed as an extrinsic curvature flux—a geometric shadow created by electromagnetic fields leaking into the 55D bulk. Black Hole Thermodynamics: The theory reinterprets Black Hole singularities as "Topological Chillers" or regulatory valves for the 59D manifold, siphoning energy into the bulk and maintaining manifold equilibrium. Quantum Mechanics: This work provides a deterministic foundation for quantum phenomena, where energy quantization (h_{geom}) arises from the resonant vibrational frequency of the brane within the 59D bulk, effectively deriving the Uncertainty Principle as a displacement constraint. This manuscript provides the full mathematical derivation of these constants and offers a closed, deterministic physical model. It serves as a foundational proposal for a unified theory that renders current "dark" sectors and tensions as simple projections of a higher-dimensional geometry.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Cosmology and Gravitation Theories
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