What question did this study set out to answer?

The aim is to derive mathematical expressions for integrating geometric impedance within the context of cosmology.

March 4, 2026Open Access

Mathematical Appendix: Formal Derivations for the Resonant Lattice Model

Puntos clave

The aim is to derive mathematical expressions for integrating geometric impedance within the context of cosmology.
Derivation of the Resonant Lattice Model equations.
Integration of geometric topological impedance into the Einstein Field Equations.
Mapping of cosmic harmonics to baryon acoustic oscillation measurements.
Established a connection between the cosmic harmonic and BAO standard ruler.
Demonstrated the mathematical framework for integrating torsion into cosmological models.

Resumen

This document serves as the formal mathematical addendum to the Resonant Lattice Model (RLM). It provides the explicit derivations integrating geometric topological impedance into the Einstein Field Equations via Cartan torsion, and establishes the direct spatial mapping of the 0.481 Gyr cosmic harmonic to the 147.5 Mpc Baryon Acoustic Oscillation (BAO) standard ruler measured by the DESI Collaboration.

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