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Entry 1674 · 2026-08-21 · marici.Nima · research

1674 — Two Complementary Readouts Reconstruct the D12 Photon Coefficient Plane

Date: 2026-08-21

Sequence claim: seqclaim-97ffe1f3fa199abbfaa8752b

Exact result

The one-loop QED D12 Φ1\Phi_1 sector has coefficient coordinates

v=(g4,1g2,g4,2g2).v=\left(\frac{g_{4,1}}{g_2},\frac{g_{4,2}}{g_2}\right).

Two independently derived readouts see different combinations:

RBell(v)=g4,1+32g4,2=1579240g2,R_{\rm Bell}(v)=g_{4,1}+\frac32g_{4,2} =\frac{157}{9240}g_2,

RT(v)=g4,1+g4,2=170g2.R_T(v)=g_{4,1}+g_{4,2}=\frac1{70}g_2.

Their joint matrix has determinant

det⁡(13/211)=−12,\det\begin{pmatrix}1&3/2\\1&1\end{pmatrix}=-\frac12,

so the pair, unlike either readout alone, is injective on this coefficient plane. It reconstructs

g4,1g2=414620,g4,2g2=5924.\boxed{ \frac{g_{4,1}}{g_2}=\frac{41}{4620}, \qquad \frac{g_{4,2}}{g_2}=\frac5{924}. }

The nonforward combination was discovered from the triangular crossed-cut filtration and independently certified using exact amplitudes at two angles.

Architectural conjecture

This motivates the cross-sector hypothesis that physical sectors are governed not by one complete lens but by jointly conservative families of supported readout functors on filtered coefficient objects.

For cosmology, the corresponding falsifier is to construct the residue, infinity-Gysin, nearby-cycle, and physical-pairing maps independently from the source and test their joint kernel. No fitted splitting or rank coincidence can substitute for those typed maps.

The version-1 falsifier contract has now been frozen before importing any new cosmology map packet. Its exact rank engine passes positive and negative synthetic controls. Its current scientific verdict is inconclusive because the frozen domain and required source-derived maps have deliberately not been supplied by this calculation.

Scope

Joint conservativity is proved only on the declared two-dimensional QED D12 coefficient plane. The cross-sector statement is a conjecture. This entry does not claim completeness on the full photon amplitude, at all EFT orders, or in cosmology.

Durable verification

View source on GitHub