Established in scope
Global invertible Cayley chart excluded already in the free case
In the question: Craig chiral measure and the original whole TFPT source
Exact exclusion only of the simple globally invertible Cayley chart. No universal overlap/TFPT no-go and no mandatory lattice/continuum route.
Read the exact result, assumptions and evidence
Result
For a free periodic even4D torus Craig Eq16 gives D=2 and A=0 at p=(pi,0,0,0), with exactly trivial plaquettes. The Cayley field redefinition is not invertible on this permitted whole space. Finite GW operators with balanced gamma5 trace and nonzero index also have2 modes. Other sectorwise maps, genuine blocking, other fixed spin boundary conditions, and TFPT itself are not excluded.
Required assumptions
- Compatible GW operator and Berezin domain
Mathematical scope: finite gamma5 Hermitian GW operator with coefficient1 and actual compatible ordered fermion spaces. Inverse formulas apply only on a common invertible domain; fulfillment by the original TFPT source is not assumed.
Original evidence
- SOURCE-BRIDGE.txt lines 189–207
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/craig-original-source-bridge-20261103/SOURCE-BRIDGE.txt
694457a0ccad7a4cbe46e3dec97e364ef085e8d0bad2c9112e684d1dcd3200e4
finding:craig-global-invertible-cayley-chart-excluded