We present a minimal theorem stack in which low-energy physics emerges from a single causaltransition operator acting on a microscopic configuration Hilbert space. Proper time is defined as accumulated transition information along causal histories. An exact order-three invariant sector of the microscopic dynamics yields three fermion generations. In the infrared, the theory is described by an almost-commutative spectral triple whose visible finite algebra reproduces the Standard Model gauge group. The finite Dirac operator acts on a 96-dimensional fermionic Hilbert space and admitsa triality-circulant Yukawa core diagonalized by a discrete Fourier basis, producing exact zeroth-order harmonic flavor states. Minimal non-circulant defects generate CKM and PMNS mixing, while a compatible singlet Majorana block closes the neutrino sector by the seesaw mechanism. The bosonic spectral action yields Einstein—Hilbert, Yang—Mills, and Higgs terms from a single operator expansion. The fine-structure sector reduces to one microscopic spectral invariant. We isolate the remaining genuinely downstream inputs to explicit microscopic Yukawa coefficients, defect blocks,and the computation of the relevant spectral invariant.