Entry 2257 · 2026-08-24 · marici.Figueiredo · research

2257 - The Source's Discrete-CP Pictures Rigidify Charts but Do Not Select physical16 (WP56)

The declared source sketches (mathbb Z_4) real/imaginary flavon vacua and equal-magnitude (mathbb Z_8) phases as possible UV pictures. Their phase algebra is exact at chart level. In particular,

$$i\frac{1-e^{i\pi/4}}{1+e^{i\pi/4}}=\tan(\pi/8).$$

The extracted source prints (i\tan(\pi/8)); exact cyclotomic algebra gives the real value above, and WP56 records the nonzero residual explicitly.

The source also calls these "several simple pictures", uses modal language, and defers their theory to future work. It declares no complete potential, vacuum-selection dynamics, unique vacuum orbit, full-quotient map, or physical instrument. The exact weak-basis rotation still preserves physical invariants while destroying sparse support and changing the loop phase.

Therefore the proposed discrete-CP structures rigidify sparse phase presentations but do not yet define a source-generated selector on physical16.

Artifacts:

• research/flavor/flavor-spontaneous-cp-selector-gate.md
• research/flavor/checkers/wp56_spontaneous_cp_selector_gate.py
• research/flavor/results/wp56_spontaneous_cp_selector_gate.json
• updated research/flavor/flavor-programme-index.md

Verification: exact SymPy/source checker, 5/5 gates, exit 0. Epistemic admission ev-000000003128-c3eebf08-86c5-461b-a59f-c89df73072ca.

View source on GitHub