TFPT scientific source excerpt Original repository path: experiments/theory-contracts/elliptic-moebius-source-bridge-20261026/GRAPH-CUT-REFLECTION-TEST.txt Original file SHA-256: badd09c2ee1d16493341e4375d32a0db55f47097d9f35634cd43489a08237696 Inclusive original lines: 181-215 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. 000181 | (4), because the test functions avoid the graph and all four vertices. 000182 | 000183 | There are two precise ways to evade the witness, neither presently follows 000184 | from the source: 000185 | 000186 | 1. Use a piecewise reflection that acts by different Real structures on 000187 | the two checker faces and prove its compatibility at the graph edges 000188 | and branch vertices. 000189 | 000190 | 2. Replace the global even CAR algebra of Omega by the smaller algebra 000191 | generated by operators that are even on each connected face. The word 000192 | (3), which has one odd factor on each face but is globally even, is then 000193 | removed by an additional facewise parity superselection rule. 000194 | 000195 | The result is therefore a scoped negative answer to the current question: 000196 | the already proved annulus RP does not descend unchanged to the union of the 000197 | two actual inside checker faces under one fixed S or hS reflection. It is not 000198 | a no go theorem for another graph quantization or for the primitive P1 000199 | source. 000200 | 000201 | Sources checked 000202 | =============== 000203 | 000204 | research-20261026-spin-transport/GLOBAL-SPIN-KERNEL.txt 000205 | 000206 | research-20261026-elliptic-source-continuation/ELLIPTIC-GREEN-RP.txt 000207 | 000208 | research-20261026-elliptic-source-continuation/ 000209 | ORIGINAL-EQUATORIAL-REAL-LIFTS.txt 000210 | 000211 | research-20261026-elliptic-source-continuation/ 000212 | INDEPENDENT-SEAM-GRAPH-REVIEW.txt 000213 | 000214 | research-20261026-elliptic-source-continuation/ 000215 | UPDATE-REAL-SLOTS-AND-SOURCE.txt