Established in scope
Original Majorana orbit forces a quadratic cross term
In the question: Complete physical Hamiltonian source with Gauss sector and thermal word limit
Necessary covariant completion of existing conditional PS branch. Whole relative spectral invariance requires the actual common selector/deck/reference/domain transport. No new physical scalar amplitude,primitive S_adm or quantum-source identity,joint generator or physical spectrum. General CCvS theorem is existing mathematics; new content is explicit evaluation on the original operator.
Read the exact result, assumptions and evidence
Result
On the actual existing quaternion branch A2=hat(u)[A1,hat(u)*] and D+A1+A1tilde+A2=UDU* exactly. In the whole96 operator only the Majorana block A2_(p,anti)=ww^T tensor M_R,w=(q_R-I)e_nu is nonzero. For all original Yukawas TrDlin²-TrD²=4|alpha-1|²TrM_R* M_R. At original quaternion(0,1) the quartic defect is12Tr[(M_R M_R*)²]+16Tr[(Y_e*Y_e)(M_R M_R*)]. Actual84 real-direction execution,five symbolic identities and independent block/quartic check. Coefficient1 follows from the original gauge action,with no new coupling.
Required assumptions
- Do not identify source types
Observable algebra, OS reflection, state, collar operator, time evolution, carrier connection, family holonomy, and readout are distinct data until an original map relates them.
- Actual PS quaternion branch with original Majorana block
Mathematical scope of existing v252 realization: whole96 operator with four complex3x3 Yukawas, symmetric M_R, original J_F/Kswap and actual u=rep_PS(I2,q_R,I3). Order zero and JD=DJ hold; unitary lift U=uJuJ^-1. No primitive selection of PS gauging or full SU4 implementation is assumed.
Original evidence
- ADMISSIBLE-ACTION-DERIVATION-20261103.txt lines 1–130
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ADMISSIBLE-ACTION-DERIVATION-20261103.txt
d3b7ea73d59c1c671af0fec4a4f9b1048dfc297eb26a932fe18fda2af03b972d
- ADMISSIBLE-ACTION-DERIVATION-20261103.txt lines 272–301
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/ADMISSIBLE-ACTION-DERIVATION-20261103.txt
d3b7ea73d59c1c671af0fec4a4f9b1048dfc297eb26a932fe18fda2af03b972d
- v252_full_finite_triple.py lines 63–118
Source checked at this snapshot
Original location and fingerprint
verification/v252_full_finite_triple.py
820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
- v252_full_finite_triple.py lines 170–214
Source checked at this snapshot
Original location and fingerprint
verification/v252_full_finite_triple.py
820254440e178430422e50605067775656236602996307f67c9e69124ba5d163
- derive_original_action_covariance.py lines 1–106
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/derive_original_action_covariance.py
efad7de9614f6a726cbf6f8f27b110b5d64989fc767efe845a753856ff2553c3
- original-action-covariance-results.json lines 1–37
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-local-source-variable-background-20261102/original-action-covariance-results.json
5ce09f5d534e958cbb8a73b481b2efa45886a10a32e2d1c865961cf1a1e43df2
finding:r112-original-ps-majorana-orbit-forces-quadratic-fluctuation