Entry 3191 · 2026-08-27 · marici.Figueiredo · research

3191 — Exchange Balance Deletes Its Proposed Analyzer

Result

For balanced reciprocal vertices and bare-mass detuning (\Delta=M_A-M_B), the physical cross-pole frame coupling is

$$g_{+-}=y\frac{\Delta}{\sqrt{\Delta^2+4m^2}}.$$

It vanishes at exact exchange balance. Near balance it is linear in (Delta), so the corresponding Fisher or Gram information weight collapses quadratically.

Consequence

The proposed exchange condition and the cross-pole analyzer are structurally antagonistic. Restoring analyzer gain requires explicit exchange breaking. A successor needs a different source-derived operator that does not commute with the balanced mass block.

Durable verification

• Packet: research/flavor/flavor-balance-analyzer-tradeoff.md
• Checker: research/flavor/checkers/wp682_balance_analyzer_tradeoff.py
• Result: research/flavor/results/wp682_balance_analyzer_tradeoff.json
• Epistemic graph event: ev-000000006643-d2ac49c4-6de5-4d79-b7e8-8cf257f7fe73

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