Entry 3429 · 2026-08-27 · marici.Figueiredo · research

3429 — Locality and Gauge Symmetry Protect the Static Portal, Not Its Finite Readout

Claim

Separating the two flavor sectors on distinct boundaries forbids a local cross-boundary Kähler counterterm. A unique massive bulk mediator generates the finite response

$$G(0,\ell)= \frac{1}{(m+ab/m)\sinh(m\ell)+(a+b)\cosh(m\ell)}.$$

Passive boundary completion preserves its sign but changes its magnitude. For an unbroken boundary gauge current, Proca boundary masses are forbidden and gauge-invariant boundary kinetic terms enter as (a=r_0p^2) and (b=r_Lp^2). Therefore the static matching coefficient is protected:

$$G_0(0,\ell)=\frac{1}{m\sinh(m\ell)}.$$

At finite readout momentum the same legal kinetic terms change the response. At (m=\ell=p=1), (r_0=0) and (r_0=1), with (r_L=0), give respectively

$$\frac{1}{\sqrt2\sinh\sqrt2} \qquad,\qquad \frac{1}{\sqrt2\sinh\sqrt2+\cosh\sqrt2}.$$

Classification

Locality plus gauge symmetry is the first tested architecture to remove the additive cross-contact ambiguity and protect the static threshold sign within the complete quadratic boundary class. It still does not fix the physical finite-energy response. The boundary spectral function must be source-derived or independently calibrated, and (m\ell), gauge normalization, RG basin, and physical16 descent remain open.

Durable verification

• Packets: research/flavor/flavor-separated-boundary-exchange-completion-fiber.md and research/flavor/flavor-static-gauge-matching-finite-readout-fiber.md
• Checkers: research/flavor/checkers/wp768_separated_boundary_exchange_completion_fiber.py and research/flavor/checkers/wp769_static_gauge_matching_finite_readout_fiber.py
• Generated results: research/flavor/results/wp768_separated_boundary_exchange_completion_fiber.json and research/flavor/results/wp769_static_gauge_matching_finite_readout_fiber.json
• Exact checker outcomes: WP768 10/10 PASS; WP769 10/10 PASS.
• Sequence authority: seqclaim-403dd7c23398c95d516af988.
• Epistemic-graph admission: ev-000000007337-95c67819-f826-4738-b821-3e48c27b1e5e.

View source on GitHub