TITLE:
A Conceptual Model of Our Universe Derived from the Fine Structure Constant (α)
AUTHORS:
John R. Crary
KEYWORDS:
Fine Structure Constant, Conceptual Model, Prime Numbers, Property Sets, Quantum, Physics, Universe
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.13 No.4,
November
28,
2023
ABSTRACT: The Fine Structure Constant (α) is a dimensionless value that guides much of quantum physics but
with no scientific insight into why this specific number. The number defines
the coupling constant for the strength of the electromagnetic force and is
precisely tuned to make our universe functional. This study introduces a novel
approach to understanding a conceptual model for how this critical number is
part of a larger design rather than a random accident of nature. The Fine
Structure Constant (FSC) model employs a Python program to calculate
n-dimensional property sets for prime number universes where α equals the whole number
values 137 and 139, representing twin prime universes without a fractional constant. Each property is defined
by theoretical prime number sets that represent focal points of matter and wave
energy in their respective universes. This
work aims to determine if these prime number sets can reproduce the
observed α value, giving it a
definable structure. The result of the FSC model produces a α value equal to 137.036, an almost
exact match. Furthermore, the model indicates that other twin prime pairs also
have a role in our functional universe, providing a hierarchy for atomic
orbital energy levels and alignment with the principal and azimuthal quantum numbers. In addition, it construes stable matter as
property sets with the highest ratio of twin prime elements. These results provide
a new perspective on a mathematical structure that shapes our universe
and, if valid, has the structural complexity to guide future research.