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

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:

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  Particle Physics: Derives first-principles current-quark masses and a sharp, falsifiable neutrino mass sum of $\sum m_{\nu}=0.0335\pm0.0004$ eV.

   

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  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.

   

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  Astrophysics: Predicts universal black-hole quasinormal mode (QNM) frequency shifts and reproduces neutron-star properties, including a maximum mass of $\approx2.2~M_{\odot}$.

   

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  Binding Energies: Explains atomic, nuclear, and molecular binding energies through a unified coordination potential.

   

Contents:

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   IGSDF_V_3.pdf: The primary theoretical paper outlining the $C^3L^3M^3$ axiom, derived theorems, and experimental predictions.

    

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   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 $H(z)$.