Closure Theory: A Geometric Route Toward the Fine Structure Constant using ACORN Framework.

The fine–structure constant α is one of the most fundamental dimensionless parameters of
physics. Despite its central role in electromagnetism and quantum theory, its numerical value
has no accepted derivation within conventional frameworks.
Within the ACORN curvature–closure framework, matter is interpreted as closed curvature
circulation occurring in an intrinsic recurrence domain. Observable spacetime physics arises as
a projection of this intrinsic curvature structure.
In this note we show that two geometric ingredients of this framework — M¨obius projection
of non–orientable curvature components and spherical normalisation of projected interaction
— naturally produce a coupling scale proportional to 1/(3π
2
). When multiplied by the lowest dimensionless survival invariant of the odd curvature channel, the resulting value closely
approximates the empirical fine–structure constant.
A geometric derivation within the ACORN framework from first principles, the result suggests that the electromagnetic coupling strength may reflect the geometry of curvature circulation and projection rather than appearing as an independent fundamental parameter.