TFPT scientific source excerpt Original repository path: verification/v258_dirac_covariance_induction.py Original file SHA-256: 16c60e831dceba773f3629466895f1009654827286e5b760ae01bd755fd5c0b1 Inclusive original lines: 40-58 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000040 | scale mu_geo: building C_F from the v252 charged spectrum and inducing 000041 | returns the SAME mass spectrum (D_F^ind ~_U D_F). The built operator and 000042 | the covariance readout are the same operator. 000043 | [E] 5. MAJORANA = OFF-DIAGONAL COVARIANCE. the type-I seesaw block is the 000044 | particle<->antiparticle off-diagonal of C_F; inducing it reproduces the 000045 | seesaw eigenvalue m_D^2/M_R -- the sigma/Majorana term is a covariance 000046 | entry, not an extra postulate. 000047 | [C] 6. PHYSICAL IDENTIFICATION. C_F = P_F C_Sigma P_F: the carrier covariance is 000048 | the compression of the seam Calderon/KMS two-point function (the boundary 000049 | quasi-free state, v155/v160/v175) to the finite carrier P_F. Under it, the 000050 | v252 D_F is the KK-theoretic shadow [D_Sigma] (x)_{(E8)_1} [K_car] of the 000051 | boundary geometry; the v18 Yukawa numbers are the READOUT of C_Sigma, not 000052 | an independent input. This is the constructive content of "carrier gauged" 000053 | once the seam realisation (the one [O] premise) is granted. 000054 | 000055 | Status: [E] for the exact modular inversion + contraction + chirality-odd + 000056 | unitary-equivalence + Majorana-as-covariance (items 1-5); [C] for the seam-side 000057 | identification C_F = P_F C_Sigma P_F (item 6), which rests on the same open seam 000058 | realisation as the rest of the QFT layer. Python-only (numpy linear algebra).