The Geometry of Silence: Resolving the UDG Dark Matter Deficiency via Sexagesimal Phase-Locking in the $\mathcal{M}_{60}$ Manifold (Vols. I-III)
Year: 2026
Type: article
Abstract: This repository contains the complete analytical framework, scientific manuscript, and supplementary technical documentation for the Sexagesimal Harmonic Algorithm (ASHM) and the López Standard applied to extragalactic kinematics. The ongoing crisis in standard ΛCDM cosmology—exemplified by the anomalous absence of dark matter in the Ultra-Diffuse Galaxies (UDGs) NGC 1052-DF2 and NGC 1052-DF4—is resolved through a deterministic, non-exotic geometric model. Instead of invoking fine-tuned particle halos or exotic dark sectors, this research demonstrates that "dark matter" signatures are emergent macroscopic manifestations of spatial geometric tension, termed Accumulated Dissonance (ΔD). This friction arises primarily from base-10 numerical truncation and rounding errors forced onto an inherently discrete, radix-60 space-time metric (the M60 Manifold). Key highlights of the uploaded manuscript:• Vol. I: Analytical foundations of the M60 manifold, velocity dispersion invariance formulas, and the zero-dissonance boundary condition.• Vol. II: Observational verification protocols mapping high-resolution spectroscopy from the W. M. Keck Observatory and sub-arcsecond astrometry from the Hubble Space Telescope (HST/ACS) into a modular, sexagesimal phase space.• Vol. III: Wide-field environmental mapping using the Dark Energy Camera Legacy Survey (DECaLS) to model dissonance transfer mechanics and phase cleansing via cosmic macro-sinks (NGC 1052). The repository includes the explicit mathematical proofs confirming that when a galactic structure crystallizes precisely atop a primary sexagesimal node, its accumulated dissonance collapses to zero (ΔD ≡ 0). Consequently, the system operates under absolute harmonic equilibrium, matching pure baryonic Newton-López dynamics without requiring speculative mass fields. SHA: Application to Millennium Problems, Conjectures, and Theoretical Physics The Sexagesimal Cosmological Model (SCM): A Unified Theory of Fundamental Forces, Singularity Stability, and the López Harmonic Constant. 2026-04-29 | Preprint DOI: 10.5281/ZENODO.19884397 On the Geometric Resonances of the Riemann Zeta Function A Sexagesimal Harmony Approach 2026-05-10 | Preprint DOI: 10.5281/ZENODO.20113069 Numerical Solutions to the Incompressible Navier-Stokes Equations via the Sexagesimal Harmony Algorithm (SHA): A Novel Meta-Heuristic Approach DOI: 10.5281/ZENODO.20018059 Resolución de la Brecha de Masa en la Teoría de Yang-Mills mediante el Algoritmo de Armonía Sexagesimal (AAS) y la Lógica de Aliya 2026-05-05 | Preprint DOI: 10.5281/ZENODO.20040782 Solución a la conjetura de Birch y Swinnerton Dyer DOI: 10.5281/ZENODO.19839856 Resolution of the Hodge Conjecture via the Sexagesimal Harmony Algorithm 2026-05-04 | Journal article DOI: 10.5281/ZENODO.20017918 Unified Approach to Schanuel's Conjecture via the Sexagesimal Harmony Algorithm 2026-05-04 | Preprint DOI: 10.5281/ZENODO.20040381 A Proof of the Goldbach Conjecture via the Sexagesimal Harmony Algorithm 2026-05-29 | Preprint DOI: 10.5281/ZENODO.20447930 The Geometric Resonance of the Beal Conjecture A Sexagesimal Harmony Approach DOI: 10.5281/ZENODO.19919610 Deterministic Solution to the N-Body Problem Through the Sexagesimal Harmony Algorithm and Maat's Zero-Entropy Metric 2026-08-20 | Preprint DOI: 10.5281/ZENODO.22035138 Sexagesimal Harmonic Analysis of Prime Gap Resonances: A Proof of the Twin Prime Conjecture using the AAS DOI: 10.5281/ZENODO.23063192 Communitas scientifica, avemus aevum sexagesimale! Files
Author: Lopez Miranda, Jorge Alexander
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166579749
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