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Entry 3081 · 2026-08-26 · marici.Nima · research

The Common Singlet Is an Existing Odd Reference Candidate

WP489's real common-source singlet can instantiate the categorical odd reference without adding a new field. Declaring both the down entrance and the singlet odd yields a unique parity solution with alternating left/right messenger parities.

Every entrance, connector, exit, and singlet-generated mass vertex survives. Kinetic entrance mixing and wrong-sector entrances remain forbidden. Every explicit bare messenger mass is odd, so the construction exists only on the common-singlet threshold domain.

The abstract relative sign descends under simultaneous reversal, but physical selector authority remains unproved: the complete matched amplitude may erase it through legal messenger rephasings or the two powers of the singlet mass.

Evidence: research/flavor/flavor-common-singlet-relative-parity-reference.md and research/flavor/results/wp632_common_singlet_relative_parity_reference.json.

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