Rivet Selection and Mass Dictionary in Time–Scalar Field Theory A Bridge from TSFT Spectral Geometry to Particle Mass Predictions

We present the missing operational bridge between the Time–Scalar Field Theory (TSFT) spectral-geometry program and explicit particle-mass prediction. Prior papers in the TSFT spectral series establish: (i) a self-adjoint scale-chain generator and its SU(N)-covariant extensions; (ii) Floquet sectorization and holonomy reduction; (iii) Bohr-type discretization via monodromy closure and half-line admissibility; (iv) an exact Weyl-pair structure yielding a Heisenberg-type uncertainty relation; (v) first-order Dirac-type factorization and a controlled Schr¨odinger limit on low spectral windows; and (vi) the Born probability rule from additive, noncontextual projector measures. The remaining task for a predictive microphysics is a well-defined dictionary identifying which TSFT spectral objects correspond to persistent, localized particle states and how their eigenvalues map to observed rest masses. Using the Temporal Coherence Principle (TCP) and the rivet concept as microphysical phase anchors, we define TCP-stable rivet modes as admissible localized eigenmodes that remain phase-locked under TSFT evolution. We then propose a calibrated mass map of the form mn,α = K √ λn G(α), where λn is the monodromy-selected TSFT eigenvalue, α is a holonomy sector parameter entering the first-order closure, G(α) encodes the holonomy-induced gap structure, and K is a single global scale fixed by one experimental calibration. This yields a transparent parameter count and an explicit protocol for producing dimensionless mass-ratio predictions from TSFT spectral data.