Established in scope
Equal finite positive channel values do not fix geometry force
In the question: Common clock sectors, quartic geometry and operational reconstruction
Counterexample only to force selection from finite endpoint values and heat positivity. No replacement P1 or exclusion of a fully specified transfer,dynamical chi,quantum measure or restricted geometry paths.
Read the exact result, assumptions and evidence
Result
Two strictly positive normalized four-atom heat measures have exactly the same F(0),F(A),F(B),S(0)=.8675847696814872,but opposite derivatives±.0027432473040925574 on the same common scale path. Rational null relations,prime logarithms and an interval certificate prove this beyond rounding. Recursing equal endpoint data cannot reconstruct the difference. Finite stationarity for every positive heat profile forces equal nonzero squared spectra and a constant scale orbit. The already fixed scalar transferT(q)=(1-q)^(-5/4)keeps its unique derivative;the actual geometry insertion and complete source terms remain required.
Required assumptions
- Finite data test of positive heat-channel values
Algebraic test on C2:R=diag(1,-1),A=2I,B=sigma_x,D=A+B,chi1,common scaleD(s)=exp(-s)D and fixed eta phase. Compare normalized positive finite heat measures with identical endpoint operator values for a necessary data sufficiency test. Neither is asserted to be P1 or the same fully geometry-dependent transfer channel.
- 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.
- Historical SF sector action and explicit relative normalization
fullv27/v28 set J1=SF,J=d SF,d2,SF1 in S_def(alpha)=S_def0+alpha J. Review concerns the intended defect-only relative reweighting and its extension to complete measure-compatible sectors Z_s=e^(-alpha d s)Z_s^0(alpha),Z0=Z0^0(alpha). Constancy of R=Z_s^0/Z0^0 is an explicit condition, not assumed from SF.
Original evidence
- PRIMITIVE-GEOMETRIC-SELECTION.txt lines 1–170
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/PRIMITIVE-GEOMETRIC-SELECTION.txt
4d04282ade94df4a8a185017a4c3448ae14976f5140a3e3b5830e91196f03cc3
- check_primitive_selection.py lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/check_primitive_selection.py
c23357b7b6e4a766885aa0118ae4d7aa488c09368a4526b5144cb56fef826c5d
- check_primitive_selection.py lines 201–208
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/check_primitive_selection.py
c23357b7b6e4a766885aa0118ae4d7aa488c09368a4526b5144cb56fef826c5d
- primitive_selection.json lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/primitive_selection.json
89d75331160a8042d3a01cb13e78cfac34b35f1693e3578ea787b00ad9cd1cb6
- primitive_selection.json lines 201–348
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/geometric_source_return/primitive_selection.json
89d75331160a8042d3a01cb13e78cfac34b35f1693e3578ea787b00ad9cd1cb6
- DIRECT-DEFECT-CLOSURE.txt lines 1–200
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/DIRECT-DEFECT-CLOSURE.txt
84a79c74da8b18387a3d2d8a9928e4a437a608120b52a46c7ede6392cf1128ff
- REWEIGHTING-REVIEW.txt lines 126–154
Source checked at this snapshot
Original location and fingerprint
experiments/theory-contracts/original-admissible-source-closure-20261025/REWEIGHTING-REVIEW.txt
aa7479fc2d4bb9eb11fd071e81550906bd4105e43a19af759da7054efbc3d49a
finding:equal-finite-positive-heat-channel-values-do-not-fix-geometric-force