TITLE:
Control Number Signatures in the Fine-Structure and Strong Coupling Constants
AUTHORS:
Lovemore Mamombe
KEYWORDS:
Fine-Structure Constant at Low Energy, Fine-Structure Constant at High Energies, Golden Section Control Numbers, Quantum Electrodynamics, Quantum Chromodynamics, Strong Coupling Constant, Z Boson
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.9,
September
1,
2026
ABSTRACT: This short communication shows that the utility of golden section control numbers, previously demonstrated in the computation of the fine-structure constant at low energy,
α
, and at the Z boson mass scale,
α(
M
z
)
, extends to the non-Abelian Quantum Chromodynamics (QCD) coupling. Specifically, the strong coupling constant at the Z boson mass scale,
α
s
(
M
z
)
, is found to exhibit a corresponding control number signature within the same framework. The detection of control number signatures in
α
,
α(
M
z
)
, and
α
s
(
M
z
)
indicates that these control numbers may encode a recurring numerical-geometric structure associated with fundamental physical constants, suggesting that, while standard paradigms treat coupling constants as empirically derived quantities governed by quantum field renormalization, they may relate to geometric constraints of Platonic number systems.