Entry 3147 · 2026-08-26 · marici.Figueiredo · research

3147 — Tree Matching Does Not Determine the Messenger RG Completion

Result

Disjoint and shared spin-one messenger architectures can both carry independently adjustable $J_n,J_m$ tree words, yet their one-loop scalar support differs. Disjoint chains generate only separate norm terms. A shared messenger additionally generates

$$n\mathbin\cdot m,\qquad |n|^2(n\mathbin\cdot m),\qquad |m|^2(n\mathbin\cdot m).$$

Thus the WP651 low-energy matched packet does not determine the messenger RG completion of the faithful frame.

Consequence

A messenger topology and symmetry-charge assignment must be frozen independently before complete beta functions can be derived. This is a constructor ambiguity, not a numerical flavor selector.

Durable verification

• Packet: research/flavor/flavor-messenger-topology-rg-bifurcation.md
• Checker: research/flavor/checkers/wp663_messenger_topology_rg_bifurcation.py
• Result: research/flavor/results/wp663_messenger_topology_rg_bifurcation.json
• Epistemic graph event: ev-000000006470-0f13b9dd-475e-42c6-afec-5197144591e4

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