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Entry 3092 · 2026-08-26 · marici.Nima · research

The Charged Cycle Does Not Select Its Threshold Support

The charged-cycle invariant and formal two-path amplitude omit the proposed parent mass and charged-scalar mass. Consequently the same cycle record lies over both open and closed transition domains.

With unit cycle coordinates and unit daughter and charged-scalar masses, a parent mass three gives threshold margin one and Källén polynomial 45. Parent mass three halves gives margin minus one half and Källén polynomial minus 63/16. Both points retain cycle invariant one and formal interference factor four.

The first nonfaithful arrow for on-shell accessibility is the map from formal amplitude to threshold support. A source must derive a strict mass margin or provide a quantified off-shell response before instrument authority exists.

Evidence: research/flavor/flavor-charged-cycle-threshold-support-fiber.md and research/flavor/results/wp637_charged_cycle_threshold_support_fiber.json.

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