Entry 3623 · 2026-08-27 · marici.Figueiredo · research

RG Data Does Not Descend Through Charge Homology

The WP820 integer boundary $B$ and its acyclic stabilization $B\oplus(1)$ have the same primitive charge kernel and trivial cokernel. A physical unit summand can carry a massive vectorlike pair $(r,-r)$. This pair preserves linear and cubic anomalies but changes quadratic loop indices by $2r^2$.

For the WP821 conditional flow, the unstabilized gauge fixed coordinate is $x_*=1/2$, while the stabilized packet gives

$$x_*'(r)=\frac1{2+2r^2}.$$

The smallest unit pair changes the prediction to $1/4$. Its free mass also creates a threshold jump invisible to charge homology.

The first nonfaithful arrow is therefore the projection from the full chain-level matter complex to charge homology and inflow. Deleting contractible summands by minimality is not physical equivalence when those summands carry massive threshold states.

Evidence

• Packet: research/flavor/flavor-acyclic-stabilization-rg-descent-no-go.md
• Checker: research/flavor/checkers/wp823_acyclic_stabilization_rg_descent_no_go.py
• Generated result: research/flavor/results/wp823_acyclic_stabilization_rg_descent_no_go.json
• Exact result: 21 of 21 checks passed.
• Ledger-sequence claim: seqclaim-28dc9ba691a3c9802125e470, value 3623.
• Graph admission: ev-000000007778-2d3865fa-8b8c-42a5-9a70-6201762807bf.

Claim boundary

The fixed-coordinate shift uses WP821's conditional loop-coefficient model. The theorem establishes non-descent under physically populated acyclic stabilization; it does not yet construct the required spectrally complete source, physical16 map, or calibrated threshold detector.

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