The Spectral Fixed-Point Equation of TUF: A New Transcendental Constant and the Top Quark Mass

We show that the fermion mass spectrum of the Floriano Unified Theory (TUF) is governed by a spectral fixed-point equation y(y−1) = (35/2) ln y, whose two positive solutions are y₁ = 1 (electron) and the Flor constant y_F ≈ 6.163624 (top quark). The coefficient 35/2 = (5/2)×7 is the product of two independent TUF invariants derived in separate papers. The top quark mass is predicted as m_t = y_F⁷ m_e = 172693 MeV, with 0.039% error relative to PDG 2024, from zero free parameters. The Flor constant is approximated by √38 = √(2×19), connecting it to the Moonshine prime 19. The fermion spectrum has no room for a fourth-generation charged fermion with the same topological correction structure. This paper is part of the TUF series:- Paper 0 (Ontological Foundation): https://doi.org/10.5281/zenodo.19024705- Paper 1 (Fermion masses): https://doi.org/10.5281/zenodo.18988060- Paper 2 (Three generations): https://doi.org/10.5281/zenodo.18991190- Paper 3 (Dark matter): https://doi.org/10.5281/zenodo.18991306- Paper 5 (Cosmological constant): https://doi.org/10.5281/zenodo.19024913