Boundary polarization, carrier rigidity, and observable closure.
The thin entry document for the TFPT 4.5 series. It does not attempt to prove the full theory. Its purpose is to state what TFPT claims, what it does not claim, how the closed branch is organized, and where each load-bearing argument is isolated in the paper sequence.
None. This is the public orientation layer for the series.
None. The note contributes only organization, status discipline, and a dependency map.
No carrier proof, no exact electromagnetic calculation, no CMB fit, no mass ledger, no E8 stage atlas, and no nonperturbative QFT proof.
The note can fail if it misstates the dependency order, overstates the status of a downstream module, or hides where an assumption first enters.
The orientation makes two things explicit: what TFPT does claim at the primitive level, and what it explicitly does not promote to theorem status. The split is what makes the falsification surface auditable.
Everything reconstructs from a single one-sided boundary datum. The primitive kernel is reconstructed canonically; carrier, gauge group, and the Standard-Model packet follow from a stabilizer theorem rather than from a list of inserted representations.
The closed branch is condensed through three decoders. Each one isolates a different burden of proof, which is why the paper series separates kernel, carrier, precision readouts, QFT closure, metrology, and cosmology.
Generates structure
The carrier decoder Y is the determinant-normalized two-point generator on the derived split E = E_- ⊕ E_+. The ranks are forced by the compact Higgs index (dim E_+ = 2) and primitive Yukawa type (dim E_- = 3). The carrier polynomial 6Y² − Y − 1 = 0 is then the minimal polynomial of the two derived roots — a corollary, not an entry assumption.
Generates counting
The primitive seam class normalization controls family counting (3), admissible occupancy (Ω_adm = 48), and the compact Higgs index (N_Φ = 1).
Generates bridge observables
After sectorization, the retained UV seed projects to the bridge observables — the Cabibbo angle, the radiative β coefficient, and the reactor angle of the PMNS matrix.
Every layer of the derivation chain has its own proof status. The series is split by burden of proof so that a reader checking the carrier theorem is not asked to also accept downstream sky realizations.
The recommended public order is Paper 0 (orientation map), then Paper 2 (visible core result), then Paper 1 (formal foundation), Paper 3 (precision), Paper 4 (analytic closure), Paper 5 (metrology), and finally Paper 6 (downstream cosmology). The mathematical dependency order is Paper 1 → 2 → 3 → 4 → 5 → 6.
The boundary primitive kernel of TFPT
Hypercharge, Spinor Packet, and the SM gauge quotient from boundary polarization
α, the cusp cubic, and the rigid flavor branch
Selector vs. dynamics on the TFPT branch
Boundary-normalized observables from λ_Σ
Seam transfer, axion sector, reheating, and CMB targets
The mathematical dependency order is rigid. The recommended public order uses Paper 2 as the visible hook and Paper 0 as the discipline document — without breaking the dependency chain.
Paper 0 is the public entry document of the TFPT 4.5 series. It states the staged reconstruction, the three decoders, the status matrix, and the dependency map between the six papers — without imported numerics, without invisible assumptions.