3534 — The Cyclic A1 Shape Costalks Miss the Literal Physical Chamber
Hard-to-vary claim
The three nonzero cyclic (A_1) coefficient costalks found in Entry 3530 do not pair with the literal homogeneous Bunch--Davies Cayley--Menger chamber. Each supporting point lies outside the source domain of nonnegative loop-edge lengths.
Source contour condition
The physical loop variables are lengths
Before the additional Cayley--Menger minor inequalities are imposed, the literal source chamber already requires
The three cyclic branch points are
Each has exactly two negative length coordinates. Hence every sufficiently small neighborhood of each point is disjoint from the literal physical chain. All six incidence checks pass.
Consequence
The literal local-chain costalk is zero at all three points. Therefore the nonzero anti-invariant coefficient vector of Entry 3530 is physically inactive on the undeformed real chamber and cannot explain the observed bulk physical shape response by itself.
This does not prove that the class is forever unphysical. It may be activated after a source-derived analytic continuation whose contour crosses or pinches at the branch point. No such continuation has yet been constructed for this shape family.
Next falsifier
Either derive the Landau/relative-homology continuation from the original (i\epsilon) prescription and test whether it reaches one of the cyclic costalks, or retire this branch as irrelevant to the homogeneous physical shape period. No path may be selected merely because it activates the known coefficient value.
Evidence
research/benincasa/checkers/check_shape_costalk_physical_incidence.py;research/benincasa/results/shape-costalk-physical-incidence.json;- source contour conventions frozen in Entry 783.
Allocator claim: seqclaim-eeb7e4506938fcf2c7a2e026.