Established in scope
Internal carrier retains all circle frequencies rather than a finite Fourier cut
In the question: Common clock sectors, quartic geometry and operational reconstruction
Exact typing and forward test of the original factorization; not exclusion of all nontrivial carrier connections. New matrix-clutch formula replaces a purported general rank law by actual determinant winding. Earlier v258 provenance gap is reused.
Read the exact result, assumptions and evidence
Result
The explicitly available factorization H=H_circle tensor K with internal projection I tensor p,rankp=r has infinite total rank. Its trivial extension gives C_p=C_beta(B_circle) tensor I_r and U_t=e^(it B_circle) tensor I_r; scalar clutchuI_r yields(1-z)^r. It creates no finite96×96 covariance or Yukawa/Majorana dynamics. v177 maps H1 to generation rankthree,v210 uses a Fourier truncation,and v252 inserts internal field labels and Yukawas. Inspected originals do not construct symbolicK_car as a Hilbert bimodule with operator connection.
Required assumptions
- Historical concrete circle, heat-transfer and source-functional passages
Historical audit contract: fullv21 contains D_Gamma=i partial_theta, u=exp(i theta) and twisted H1 domains; v31/32/42 write P_adm exp(-ell|B_Sigma|)P_adm; v42 has exp(W_k[J]) as a formal functional integral with STr. V1.06 contains the 11D C3 mode ansatz and n=1,g_top=8c3². The actual scope is audited, without assuming equality of old/new operators, physical times, traces or parameters.
- 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.
Original evidence
- CARRIER-MODULE-FORWARD-MAP.txt lines 63–218
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/CARRIER-MODULE-FORWARD-MAP.txt
947987a1bdff497d899c1921c2fe2e0098a4b3a30b0b837d849195c8544c28b6
- CARRIER-MODULE-FORWARD-MAP.txt lines 220–379
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/CARRIER-MODULE-FORWARD-MAP.txt
947987a1bdff497d899c1921c2fe2e0098a4b3a30b0b837d849195c8544c28b6
- 002-subsection-primitive-relative-spectral-dynamics.tex lines 26–70
Source checked at this snapshot
Original location and fingerprint
documents/archive--paper-latex--tfpt-31/sections/002-subsection-primitive-relative-spectral-dynamics.tex
6d8813b95a1ef4d82ee9cd48a25efff3f9c20066a06b85ad121bc26e5dbaae77
finding:inner-carrier-is-infinite-spacetime-module-not-finite-circle-cut