Honeycomb Alpha as a Geometric–Informational Invariant

The fine-structure constant α remains one of the most enigmatic dimensionless parameters in physics, with no widely accepted derivation from first principles. This paper examines why a purely geometric expression, termed Honeycomb Alpha, defined as: α_H = V_tet / 10φ naturally yields a value close to the measured fine-structure constant. The construction is based exclusively on irreducible geometric and informational primitives: the unit-edge tetrahedral volume, the diagonal ratio √2, the golden ratio φ, and a binary multiplicity factor represented by “10.” Each component is shown to arise from structural necessities of the tetrahedral–octahedral honeycomb, discrete spatial normalization, and scale-free informational symmetry. Rather than claiming a derivation of the fine-structure constant, the paper argues that geometric and informational constraints can naturally produce a dimensionless invariant within the observed range of α. In this view, Honeycomb Alpha is interpreted as a geometric–informational invariant whose low-energy manifestation may correspond to the electromagnetic coupling constant. This work is independent of, but conceptually aligned with, broader efforts to understand physical constants as emergent properties of underlying geometric and informational structure. v1