TITLE:
Quantum and Geometric Harmonic Resonance: Integrating Trans-Finite Ordinal Calibration and Algebraic Cohomological Quantization in a Unified Theoretical Framework
AUTHORS:
Derrick Irons
KEYWORDS:
Quantum, Trans-Finite Ordinal Calibration, Dark Energy
JOURNAL NAME:
Open Access Library Journal,
Vol.12 No.7,
July
31,
2025
ABSTRACT: This study investigates a hypothesized fundamental waveform, represented by the equation
Ψ(
x
)=Acos(
ωx+ϕ
)
, as a candidate for unifying quantum mechanics and general relativity. We posit that this Universal Waveform acts as a mediating field that modulates the geometric structure of spacetime, thereby providing a physical mechanism for the emergence of both quantum phenomena and classical gravity from a single, underlying reality. We develop a comprehensive mathematical formalism based on a modulated metric tensor,
g
˜
μν
=
g
μν
(
1+ϵΨ
)
, and derive its consequences for cosmology and particle physics. Concepts from trans-finite ordinal calibration and algebraic cohomological quantization are leveraged to construct a coherent theoretical architecture. We propose a series of high-precision, multi-domain experimental tests—from gravitational wave astronomy and collider physics to the cosmic microwave background and tabletop experiments—designed to validate or falsify this hypothesis. This work aims to bridge the profound theoretical gap between the micro and macro worlds by offering a concrete, testable model of quantum gravity and addressing outstanding puzzles such as dark matter and dark energy.