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Paper 6 of the TFPT 4.5 seriesDownstream Interface
TFPT 4.52026-04-27264 KBSHA-256 390307bc…264e
Paper 6Downstream Interface

Cosmology Interfaces of the TFPT Closed Branch

Seam transfer, axion sector, reheating, and CMB targets

Cosmology is not used as a primitive selector of the theory. It is read from the closed branch through seam transfer, determinant-line phase, scalaron sector, axion interface, reheating input, leptogenesis input, neutrino sector, CMB spectra, and conjectural sky-map realization targets.

Inputs
  • ›Papers 1–5 supply the closed branch T★, the carrier packet, the precision branch, the admissible QFT sector, and the boundary-normalized metrology.
Contribution
  • ›Downstream cosmology interfaces: Λ_IR, S_Σ, N_DW, axion / reheating / leptogenesis / CMB targets at their proper status levels.
Not claimed here
  • ›No carrier proofs, no full α derivation, no QFT closure proof, no SM packet proof.
Falsification surface
  • ›Fails if CMB Stage 2 is sold as a theorem, if a good CMB world is conflated with this observed sky realization, or if cosmology is allowed to tune the primitive branch.
Download Paper 6View PDF
Highlights
N_DW1Domain-wall number from the determinant line
Axion ν≈ 15.764 GHzHaloscope window prediction
Σ m_ν0.0588 eVIntrinsic neutrino mass sum
η_B5.97 × 10⁻¹⁰Baryon asymmetry, leptogenesis interface

Key formulas

  • Λ_IR (seam transfer)
    ΛIR=MˉPl4 ⁣[−log⁡det⁡adm(1−UΣ)]\Lambda_{\mathrm{IR}} = \bar M_{\mathrm{Pl}}^4 \!\left[-\log\det_{\mathrm{adm}}(1 - U_\Sigma)\right]
  • Axion interface
    NDW=1,θi=π(1−φseam(α⋆))N_{\mathrm{DW}} = 1, \quad \theta_i = \pi(1 - \varphi_{\mathrm{seam}}(\alpha_\star))

Cosmology as Downstream Interface

The closed branch is fixed before cosmology enters. CMB and E8 must never be written as hard theorem claims in this paper. Stage 1 is spectra; Stage 2 is sky realization as a conjectural or programmatic target.

T⋆⇒(UΣ,det⁡adm,scalaron,neutrino sector)⇒cosmology interfaces\mathfrak{T}_\star \Rightarrow (U_\Sigma, \det_{\mathrm{adm}}, \text{scalaron}, \text{neutrino sector})\Rightarrow \text{cosmology interfaces}

Seam Transfer and Infrared Determinant

The seam-transfer expression connects the admissible determinant line to the cosmological constant scale.

ΛIR=MˉPl4 ⁣[−log⁡det⁡adm(1−UΣ)]\Lambda_{\mathrm{IR}} = \bar M_{\mathrm{Pl}}^4 \!\left[-\log\det_{\mathrm{adm}}(1 - U_\Sigma)\right]

Axion Interface

The axion sector depends on seam transfer and determinant-line phase, not on the primitive carrier proof.

SΣ=log⁡μΣ(α⋆)S_\Sigma = \log \mu_\Sigma(\alpha_\star)
NDW=1N_{\mathrm{DW}} = 1
θi=π(1−φseam(α⋆))\theta_i = \pi(1 - \varphi_{\mathrm{seam}}(\alpha_\star))

CMB — Stage 1 vs. Stage 2

Stage 1 is the spectral target: transfer functions, angular spectra, comparison rows. Stage 2 is a conjectural realization target: a good CMB world is not automatically this CMB world.

Key formulas at a glance

  • Λ_IR (seam transfer)
    ΛIR=MˉPl4 ⁣[−log⁡det⁡adm(1−UΣ)]\Lambda_{\mathrm{IR}} = \bar M_{\mathrm{Pl}}^4 \!\left[-\log\det_{\mathrm{adm}}(1 - U_\Sigma)\right]
  • Axion interface
    NDW=1,θi=π(1−φseam(α⋆))N_{\mathrm{DW}} = 1, \quad \theta_i = \pi(1 - \varphi_{\mathrm{seam}}(\alpha_\star))