Established in scope
Direct Gaussian identification of spectral numerator block fails reflection
In the question: Recursion, hypergraphs and mirroring at the original joint source
No universal TFPT RP exclusion or test of full coupled interacting source. Gaugevariant phase not claimed admissible physical probe. Gaugeinvariant radius still needs full marginal covariance rather than inverse isolated block. Bare Hessian is not Gamma Hessian;whole state unidentifed.
Read the exact result, assumptions and evidence
Result
xF(x)>2 forx>=4,so inverse has negative integrable remainder after actual contact and negative positive-time pulse reflection form. Radial Rmu is everywhere positive for mu>1/2,yet inverse after full polynomial contact has negative1/x coefficient B²-AC=-384-1536mu-512mu². Same one-pulse proof excludes stable standalone Gaussian;positive mixtures preserve obstruction under stated inverse moments.
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 original Dirac Higgs chart and full profile
Supplied ordinary Spin4 product chart with actual original internal field map;full96 only in supplied factorization. Retain actual reference,scale,eta and domain variations. Positive heat representation only for original f31 and convergence,or explicitly diagnostic analytic integrand;no chosen physical nu or automatic primitive-chart identity.
- Standalone Gaussian of full spectral numerator
Only isolated charged phase/radial Higgs numerator Hessian on declared flat4D chart with original multiplicities. Direct block inversion as standalone Gaussian covariance,not physical marginal of coupled interacting source. Phase gaugevariant,radius locally gaugeinvariant. Positive mixtures only under stated inverse moments;retain reference,eta,Majorana,selectors and other bosons.
Original evidence
- GAUSSIAN-REFLECTION-PHASE-RADIAL.txt lines 1–190
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/GAUSSIAN-REFLECTION-PHASE-RADIAL.txt
e51580087db4b7765f931f872916b64a2d2fa21d5417292048a7362455577d1e
- GAUSSIAN-REFLECTION-PHASE-RADIAL.txt lines 191–229
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/GAUSSIAN-REFLECTION-PHASE-RADIAL.txt
e51580087db4b7765f931f872916b64a2d2fa21d5417292048a7362455577d1e
- STATE-MATCHING-CONSEQUENCE.txt lines 1–90
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/recursive-mirrored-source-20261103/STATE-MATCHING-CONSEQUENCE.txt
69646edec3ee355db9683c297a368324d14a62fab4d22d6e21061206ba46dd0a
finding:rec20261103d-standalone-spectral-gaussian-reflection-obstruction