TITLE:
The Conceptual Framework for a Fine-Structure (α) Prime Number-Based Universe
AUTHORS:
John R. Crary
KEYWORDS:
Structured Mathematical Universe, Fine Structure Constant (α), Quantum Time Structure, Ontological Physics, Conceptual Model
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.15 No.2,
June
12,
2025
ABSTRACT: This paper presents the development of a conceptual model of the universe, grounded in the Fine Structure Constant (α ≈ 137.036). The Extended Fine Structure Constant (eFSC) Model explores α as a function of twin prime microverses (U{137}, where α = 137, and U{139}, where α = 139), each defined by n-dimensional sets of prime numbers. Property counts for U{137} and U{139} are used in a modified Difference over Sum (DoS) calculation to approximate the fractional component of α, yielding a Relative Electromagnetic Force (EMF) value of αII = 0.036. Applying this method to additional twin prime pairs produces a distribution of EMF values that reflect the energy profiles of known Standard Model forces, identifying the strong force as a triad of overlapping EM interactions, and linking the weak force to particle transitions involving neutrons, protons, electrons, and neutrinos. The model provides a conceptual framework for investigating the Higgs mechanism, quantum orbital structures, quantum entanglement, and potential explanations for gravity, dark matter, dark energy, and time dilation. While not intended to supplant any existing physics, the eFSC Model offers a novel, prime-number-based architecture for interpreting the quantum universe through a classical lens.