alphaInverseRS

The module follows the provenance chain from the J-uniqueness theorem that fixes J(x) = (x + x^{-1})/2 - 1, through the self-similar fixed point phi, to D=3 from the eight-tick period 2^D = 8. The 44 frequency slots then enter as a structural count from the three-dimensional geometry, producing the closed-form expression for alpha inverse. The module documentation states the formula explicitly and notes that the derived constants remain symbolic, with any numeric evaluation quarantined elsewhere. The upstream alpha definition in Constants.Alpha simply takes the reciprocal, while the for structure records the meta-realization properties required by the self-reference axioms.

The declaration is a direct definition whose body is the literal expression 44 * Real.pi * Real.exp(-8 * Real.log phi / (44 * Real.pi)). No lemmas are applied inside the body; the expression transcribes the formula assembled after the uniqueness, phi-fixed-point, and D=3 steps have already been established upstream.

This definition realizes step 5 of the alpha provenance chain in the module documentation, completing the explicit derivation that links the J-uniqueness theorem and eight-tick octave to the interval (137.030, 137.039) containing the CODATA value. It supports the structural theorem status with zero sorries and connects to the T7 eight-tick and T8 D=3 landmarks. The result feeds no downstream declarations in the current graph but supplies the concrete formula required for the gravity reviewer response.