The linear source Ward identity in the tensor target
Original ledger classification: Identity for prescribed-source linear target [E]; finite regressions [N]; dynamical quantum coupling [O]
Recorded statement: For the declared staggered tensor target and prescribed conserved sources use c0=-s^T q and ci=i Bp with the real paired Fourier Hamiltonian. The constraints propagate exactly; the explicit curvature response is retarded. This is not…
Statement, assumptions and sources
Paper context: Frontier and open physical interfaces
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GRAV.LINEAR.SOURCE.WARD.01
Original ledger classification: Identity for prescribed-source linear target [E]; finite regressions [N]; dynamical quantum coupling [O]
Original claim text
For the declared staggered tensor target and prescribed conserved sources use c0=-s^T q and ci=i Bp with the real paired Fourier Hamiltonian. The constraints propagate exactly; the explicit curvature response is retarded. This is not dynamical quantum source consistency: order-g^2 brackets, the removed homogeneous source block and finite-lattice nonlinear scalar Ward residual remain open obligations. A collinear free fermion Ward construction is not full 3D quantum matter or universal nonlinear coupling.
Original classification detail
59 checks: 55 exact; 4 floating. T7 and TOE [O]
Dependencies as recorded
GRAV.FREE.CURVATURE.FOCK.01; GRAV.FREE.CURVATURE.COVARIANT.01; GRAV.SPIN2.EMERGENCE.01
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- Frontier and open physical interfaces
- Research contracts
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- Honest statusinput 4 origin theory
- Rounds 6 and 7: free quantum curvature, covariant extension, charged disorder, mirror parent, and first-order matter couplingtfpt research contracts; tfpt research contracts; Research contracts
- Honest statusorigin theory
- The hard reduction: the live residual as typed interfacesTFPT — Introduction and reading guide
- Honest statusOrigin Theory
- Executable certificate and evidence typing.tfpt research contracts; tfpt research contracts; Research contracts
- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- Honest statusinput 4 origin theory
Registered verification modules
- v1035_matter_coupling.pyRegistered verification module · frontier
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Physical Fourier Ward propagation for prescribed sources and dynamical-source obstructions; universal quantum coupling open
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