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This document establishes a complete and unified derivation of a unique spectral invariant on the reduced self-dual moduli space of flat 3-tori, proves strict convexity and uniqueness of its minimiser, and provides a certified rational interval enclosure with directed-rounding verification and cryptographic integrity. Under the standard fixed low-energy QED normalisation, this invariant equals the inverse electromagnetic coupling with no adjustable parameters. This timestamp certifies originality, priority, and completeness of the mathematical and physical formulation, the certificate method, and the parameter-free identification.