unitWeight
plain-language theorem explainer
Constant edge weight equal to 1 on every ordered pair of Fin-16 indices. Gravity analysts cite it as the neutral weight when forming the first variation of an antisymmetric edge current against a Dirac probe. The body is the literal constant function, with no further structure.
Claim. Define the constant weight $w:\{0,\ldots,15\}\times\{0,\ldots,15\}\to\mathbb{R}$ by $w(i,j)=1$ for all indices $i,j$.
background
The ambient module builds an order-sensitive history response on the Freudenthal patch: a depth-two commutator reading of a Loom configuration is seated as an antisymmetric Fin-16 edge current on the generator-(0,2) edge (record-time false) via Q3 patch seating. No metric $H$ and no $\mu$-coordinate table enter.
Edge currents are paired with real weights on Fin-16 pairs when forming a first-variation scalar against a Dirac probe supported on a single seated generator edge. The constant weight supplies the neutral choice: every ordered pair contributes with coefficient one.
Downstream, that scalar is evaluated on the history responses of two distinguished configurations cfgA and cfgB to obtain a separation statement.
proof idea
Pure definition: the term is the constant function sending every pair of Fin-16 indices to the real number 1. No lemmas, no tactics.
why it matters
Supplies the weight argument to edgeAction_separates_cfgAB, which asserts that the edge-current first variation of the history response, against the Dirac probe on the seated generator-(0,2) edge, takes different values on cfgA and cfgB. That separation is one of the frozen G2/G3 claims of the order-sensitive gravity proposition: history order produces a nonzero edge-current response without invoking a metric image. Within Recognition gravity analysis this is the model step that treats the depth-two fingerprint amplitude as a physical current on the patch.
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