Established in scope
Cauchy enlargement supplies arbitrary finite matrix directions, not a selector
In the question: Historical: common source, state and event selection
Concrete algebraic/smooth enlargement, not the entire bounded-operator algebra. Does not exclude an independently derived noncommutative local field algebra.
Read the exact result, assumptions and evidence
Result
P0=C−UCU* and Emn=U^m P0 U^(−n) supply all finite matrix units. The represented generated algebra has scalar commutant and center. Since I is a one-form, every element a=aU*[B,U] is a one-form. The enlargement permits arbitrary finite-rank matrix perturbations but selects neither a Higgs coupling nor3+2 and cannot silently replace the original local algebra with smooth center.
Required assumptions
- Explicitly additional nonlocal Cauchy enlargement
On the Fourier basis en,n∈Z, U is the bilateral shift and C projects onto n≥0. Consider the algebraic or explicitly smooth *-algebra with controlled bounded commutators generated by U,U*,C. No identification with B(l²), automatic domain statement for its norm completion or original local field algebra is assumed.
- 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
- HIGGS_VARIATION_PROOF.txt lines 109–133
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/seam-joint-source-origin-audit-20261016/HIGGS_VARIATION_PROOF.txt
84004fc583641a52096c8571844aaed825d16d8165635eafd1a6b2562708e6be
finding:calderon-enlargement-does-not-select-higgs