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Read the result in its research context.

Follow the published construction into its registered claims, then explore reviewed research questions, attempts and the connections that remain open.

Conditional result

Whole q-to-p pullback transports supplied source state and time

In the question: Automated construction of operator maps and sources

Exact covariance to its calculated image; original naturality already fixes all image p data and no independent Phi_p rule is required. This does not derive the full given Seed from fewer primitive data. Kswap transports pi rather than fixing its old copy. Match the geometric spin pullback to actual global normal/collar domains, local algebra and reflection; annulus inversion also exchanges faces/normals. Existing state/time are carried, with no mandatory iota6 embedding or no-go for appropriate outer/opposite transports.

Read the exact result, assumptions and evidence

Result

The alternative to a six-mode embedding is positive for the whole supplied source. Actual linear Kswap reverses gamma and conjugates the complete symmetric-Majorana coefficient. T=Kswap Rx transports h(Aq,Phiq) to h(Ap,-barPhiq composed with inversion). Full F5 lift (iN) tensor T preserves total grading, complex structure and C0, intertwines E and carries all face entries, cross graph correlations, state and same-parameter time. Quarter connection/domain holonomy invert; variable spin frames retain derivative and endpoint terms. Two independent actual96 replays confirm the algebra.

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.

  • Recovered genus2 cover with retained coefficients

    Retain exactly the older three-sheet cover C:w³=(z²-1)/(z²+1), eta=z(1-w³), eta²=1-w⁶, six Weierstrass points p_a=omega^a,q_a=-omega^a, given z base and clock markings. Seek actual flat coefficient lines for existing v117 monodromy, not mere permutation equivalence or an assumed field intertwiner.

  • Unchanged A0* Fuchsian equation and actual C4 clock

    Fix exactly v115 A0*, U=diag(1,i,-i), residues U^k A0* U^-k at i^k and regular base point z=0. Retain base rotation, positive meridian on t=z⁴ and simultaneous fiber basis change. No new Riemann Hilbert solution or D4 reflection lift is assumed.

  • Actual full v252 gauge lift and original P2 comparison

    Given the full unchanged v252 constructor pi,J_F,gamma_F,D_F and its symbolic Yukawa/Majorana inputs. Compare real gauge lift U=pi(u)J_F pi(u)J_F^-1 on the connected unimodular branch lambda det(m)=1 with original oriented P2 carrier E3+E2,Y=(-1/3)^3+(1/2)^2. No full Spin10 source action is presumed. A cyclically fixed neutral family line is considered only with an expressly supplied sigma=(123) and eigenvalue1; its original physical selection is not assumed.

  • Geometric Clifford boundary with explicit changed complex structure

    Assume the existing free product class B=Gamma A or actual smooth tangential odd finite coefficient B_Phi=Z A-S Phi with total grading Z tensor gamma_F. Apply the standard Clifford boundary functor on the underlying real space with NEW complex structure Ical=i_old Gamma_tot and real structure C0=i_old gamma_n; the dual face has -C0. C0 is old-linear and new-antilinear,not identified with original charge J. This differs from full complex CAR quantization of both independent normal copies. State conclusions use the full graph as the actual quantum covariance in this functor. Its physical selection from P1/P2 is not presumed proved; Phi is a fixed classical background. Keep the fixed normal-independent product collar; a(theta) is smooth Hermitian and even,Phi(theta) smooth Hermitian and odd. No quantization of these bosonic backgrounds.

  • Complete data of both product-collar faces

    A selfadjoint B occurs in an exact normal-independent product equation. The full orthogonal L2 Cauchy graph projection of both labeled faces, their actual fiber identification and independently known positive normal length ell are supplied. Selection of these data from P1/P2 is not presumed.

  • Constant odd circle-source coefficient with existing sea and full boundary graph

    In the existing Clifford chart on L2(S1,K) with finite K let h0=(-i∂theta+alpha)gamma,alpha=1/4 or3/4,gamma*=gamma,gamma²=I. Supply constant selfadjoint odd Phi,{gamma,Phi}=0,and V=-i gamma Phi,h=h0+V on common periodic H1. Compare given CAR sea projectors P_-(h0),P_-(h) and complete pure two-face projector G_ell(h),ell>0,including crossings. This is the existing source class with classical background, not physical selection from P1 or quantization of dynamic bosons.

Original evidence

  • QP-WHOLE-SOURCE-PULLBACK-REVIEW.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-WHOLE-SOURCE-PULLBACK-REVIEW.txt

    a933fd30b0295e5461d10643ab4b1ea754acc52624f4ba1d289a14c78cfe861d

  • QP-WHOLE-SOURCE-PULLBACK-REVIEW.txt lines 181–224

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-WHOLE-SOURCE-PULLBACK-REVIEW.txt

    a933fd30b0295e5461d10643ab4b1ea754acc52624f4ba1d289a14c78cfe861d

  • QP-PULLBACK-F5-OPERATOR-REVIEW.txt lines 1–180

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-PULLBACK-F5-OPERATOR-REVIEW.txt

    85f5d6a0f9975b09ef31b9f68d2b4304b8aad1767775ce9c039565e0a26d33c7

  • QP-PULLBACK-F5-OPERATOR-REVIEW.txt lines 181–215

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-PULLBACK-F5-OPERATOR-REVIEW.txt

    85f5d6a0f9975b09ef31b9f68d2b4304b8aad1767775ce9c039565e0a26d33c7

  • QP-SOURCE-FUNCTORIALITY-ADDENDUM.txt lines 1–167

    Source checked at this snapshot

    Original location and fingerprint

    experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/QP-SOURCE-FUNCTORIALITY-ADDENDUM.txt

    429b1ee6bbc19d5b64593bb81b1eab4e29510ec65d0a054e24319aa42af6be34

finding:whole-q-to-p-pullback-transports-given-source-state-and-time