TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/mixed-current-origin-20261014/FULL-ENERGY-REVIEW.txt
Original file SHA-256: 9f56da62f659b3d9479b15c15e570e2f6fae944804b8244008c867b00cf79d4e
Inclusive original lines: 1-36
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.

000001 | [OMITTED: non-scientific conversation or execution metadata]
000002 | [OMITTED: non-scientific conversation or execution metadata]
000003 | [OMITTED: non-scientific conversation or execution metadata]
000004 | 
000005 | Accepted in the stated source-specific scope. Independent python3 -B -OO
000006 | execution passed all10 exact source identities, both full-builder controls,
000007 | 12 spectral cases and the64-field quarter census. Its JSON exactly matched
000008 | the saved result. No historical source pin was rewritten.
000009 | 
000010 | The all-N spectral exhaustion, finite-energy compactness and heat-trace
000011 | convergence arguments are sound. They exhaust the unchanged source's
000012 | same-sea/time finite-energy carrier. Finite checker controls corroborate
000013 | these arguments; they do not prove the universal quantifiers themselves.
000014 | 
000015 | The scalar Z4 classes are D8-local exactly for r0,2. Integer dressing does
000016 | not alter this. All64 quarter norm-two charges have nontrivial monodromy
000017 | with the existing e1+e2 current. Half-integral minimum charges split into
000018 | two128-element chiralities. For both supplied quarters, even chirality has
000019 | one K0 charge; odd chirality has unique minimum1/32. These are full-coset
000020 | minima: leaving the +/-1/2 cube costs at least17/32 above the coordinate
000021 | minimum. Nonnegative oscillator grades cannot improve either minimum.
000022 | 
000023 | The periodic-Cartan obstruction requires integrated covariance on an
000024 | invariant common domain for unbounded fields. A formal commutator alone is
000025 | insufficient. The final proof now states the integrated law as its premise.
000026 | 
000027 | There is no claim that folding or all rank8 local nets are impossible.
000028 | Spectral equivalence alone does not establish locality, stress or the
000029 | physical P1 field dictionary. The extra-ground-state obstruction is
000030 | correctly restricted to the even spinor chirality, not the odd one.
000031 | 
000032 | The two requested exposition refinements (integrated covariance first,
000033 | full-coset energy bound) were incorporated. No substantive correction or
000034 | rejection was needed. The work decides the specified unchanged-carrier
000035 | mechanisms and scalar twist menu. It does NOT construct the spinor endpoint,
000036 | select its chirality/Gauss law or complete the P1 origin.