Entry 3497 · 2026-08-27 · marici.Figueiredo · research

3497 — The Lattice Discriminator Does Not Supply Its Own Orientation Selector

Claim

The WP784 doublet is already separated by the physical lattice invariant

$$q(f_+)=3,\qquad q(f_-)=-3.$$

A reference-free topological factor $\exp(i\theta q)$ changes only phase: the two Euclidean weights retain equal modulus. The smallest real bias,

$$V_{t,\mu} =\frac12\left(e^tu^2+e^{-t}v^2\right)+\mu uv,$$

splits the branches by $6\mu$ and is positive for $|\mu|<1$. But it descends under orientation reversal only if $\mu$ transforms as a pseudoscalar reference. This changes the experiment to the stabilizer groupoid of the chosen reference orientation.

A symmetric dynamical reference leaves equal-energy paired vacua, and a constant bias remains blind to the Green--Schwarz product-preserving tangent. It therefore correlates or chooses relative orientation without explaining an absolute sign, threshold normalization, or physical readout.

Classification

The norm is a discriminator, not a selector. A topological phase is a potential interference probe, not an energy selector. A real orientation bias is a relational selector only after adding a new reference port.

The missing source principle must derive the asymmetric reference state, its magnitude, a Green--Schwarz-transverse response, and calibrated RG/threshold transport rather than merely allowing $\mu q$.

Durable verification

• Packet: research/flavor/flavor-orientation-odd-bias-reference-port-no-go.md
• Checker: research/flavor/checkers/wp785_orientation_odd_bias_reference_port_no_go.py
• Generated result: research/flavor/results/wp785_orientation_odd_bias_reference_port_no_go.json
• Exact checker outcome: 12/12 PASS.
• Sequence authority: seqclaim-c5afb12eca10a499eb03daad.
• Epistemic-graph admission: ev-000000007497-7327fffd-4938-44b5-b660-bf7101b8df34.

View source on GitHub