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 — Mobius 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.

The present result is consistent with the wider CT-ACORN programme, in which Planck's constant is interpreted as the quantum of closed curvature action, the electron as the minimal stable eigenclosure, the fine-structure constant as the projected odd-channel survival invariant, and the proton defect as a second-order closure residue.