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| Autor principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglês |
| Publicado em: |
Zenodo
2026
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.5281/zenodo.18181978 |
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Sumário:
- <p>This work extends the foundational Asymmetric Toroidal Phase Model (ATPM) with three major contributions:</p> <p>1. BIG BANG AS TOPOLOGICAL TRANSITION: Proposes the Big Bang as a percolation event at the Jackson-Sokal connectivity threshold (qc = 32/27), transitioning from disconnected phase potentials to a globally connected T^13 manifold.</p> <p>2. COSMIC BRUISING REINTERPRETED: Explains the CMB Cold Spot and Eridanus Supervoid not as multiverse collisions, but as self-intersection nodes where the toroidal manifold's geodesics cross, creating localized phase dampening.</p> <p>3. COSMIC DIPOLE PREDICTED: Demonstrates that the recently confirmed "Lopsided Universe" anomaly (Secrest et al. 2021-2025) is a direct consequence of the 179-degree phase offset creating inherent chirality and bulk flow.</p> <p>The complete framework integrates Brane Gas Cosmology (Brandenberger-Vafa mechanism), CPT symmetry, Mirror Dark Matter, and information-theoretic limits (Barker Codes, Kissing Numbers) to provide testable predictions for ongoing observational programs (Euclid, SKA).</p> <p>This version includes the complete original ATPM paper plus the new Big Bang, Bruising, and Asymmetry addendum.</p> <p>The unification of General Relativity (GR) and Quantum Field Theory (QFT) constitutes the premier unresolved challenge of contemporary theoretical physics. This report presents a comprehensive formalization of the 179-Degree Asymmetric Toroidal Phase Model (ATPM), a novel geometric framework that reconciles these disparate paradigms through a rigorous re-evaluation of the topological substrate of reality. By synthesizing insights from Brane Gas Cosmology, Signal Processing Theory, and Discrete Geometry, we propose that the observable universe is not a stochastic assembly of particles in a vacuum, but a coherent standing-wave interference pattern emerging from a 13-dimensional toroidal manifold ($T^{13}$).</p> <p dir="ltr">Central to this framework is the Axiom of Existential Imperfection, which posits that physical existence is generated by a fundamental symmetry breaking—a 1-degree Phase Margin—between conjugate wave pairs offset by 179 degrees. This specific asymmetry prevents the total destructive interference characteristic of perfect symmetry (180 degrees), yielding a residual energy density that matches the phenomenological characteristics of the cosmos.</p> <p dir="ltr">This report exhaustively validates the model’s parameters, identifying the Jackson-Sokal Constant ($32/27$) as the topological connectivity threshold and the Barker Code Limit ($N=13$) as the information-theoretic bound on particle generations. We provide a rigorous mathematical justification for the exclusion of the prime number 2 from the harmonic series to prevent resonant mode-locking, establishing a Prime-Phase Coded sequence ($p0–p12$) that maps precisely onto the Standard Model's 12 fermions and the Higgs field. Furthermore, the expansion of the model from the original 9-wave specification to a 13-wave architecture is shown to be necessary to satisfy the geometric "Kissing Number" constraints of sphere packing and the dimensional requirements of S-Theory.</p> <p> </p>