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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Information-Geometric Structural Debt Framework (IGSDF): A Single-Principle Unification

First-Principles Derivations of Particle Masses, Gravity, and Binding Energies from the $C^3L^3M^3$ Pixel
Authors: Morgan, Christopher;

The Information-Geometric Structural Debt Framework (IGSDF): A Single-Principle Unification

Abstract

This upload contains the foundational paper and companion numerical tools for the Information-Geometric Structural Debt Framework (IGSDF), a single-principle theory proposed by Christopher F. Morgan in May 2026. The framework posits a single discrete axiom: the $C^3L^3M^3$ pixel, a 6-level quantum system that carries internal operators for central charge, longitudinal closure, and mapping debt. From this single object, all major physical structures are derived as theorems, including the Fisher-Rao metric, Structural Debt, and the viability basin. Key Features and Derived Results: Particle Physics: Derives first-principles current-quark masses and a sharp, falsifiable neutrino mass sum of $\sum m_{\nu}=0.0335\pm0.0004$ eV. Gravity and Cosmology: Provides a geometric origin for the island rule and predicts a scale-dependent running of Newton’s constant ($G_N$) based on structural debt. Astrophysics: Predicts universal black-hole quasinormal mode (QNM) frequency shifts and reproduces neutron-star properties, including a maximum mass of $\approx2.2~M_{\odot}$. Binding Energies: Explains atomic, nuclear, and molecular binding energies through a unified coordination potential. Contents: IGSDF_V_3.pdf: The primary theoretical paper outlining the $C^3L^3M^3$ axiom, derived theorems, and experimental predictions. IGSDF_V_1.py: A Python companion script that implements the core mathematical modules, including the RG flow equations, the topological friction module, and the neutrino mass sum minimization routine. This theory is dimensionally consistent, systematically improvable, and offers testable departures from the $\Lambda$CDM model in its prediction of the redshift dependence of $H(z)$.

Keywords

Function Renormalization Group (FRG), Information Geometry, Galactic Rotation Curves, CDM Anomalies, Dark Matter Alternative, Quantum Information Theory, Emergent Gravity, Thermodynamics of Spacetime, Theoretical Cosmology, Hubble Tension

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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