Manuscript VI@1 · VI.tex · section · b5b60afb

The candidate and the tested identification

An exact compact-switch obstruction › The candidate and the tested identification · lines 1396–1421

VI@1#eq:A1g, VI@1#eq:free-representative-identification

Define

A_{f, g}^{(1)} (h, ϕ_{0}) = \int f (- G_{R} Q_{g h} ϕ_{0} - X_{w [h]} ϕ_{0}) d^{4} x, P ϕ_{0} = 0.

The proposed free-input representative identification is

(h, ϕ_{0}) \sim (h + K ξ, ϕ_{0}), ξ \in g_{T} .

This is the identification that would have to be respected by an equivariant realization of the geometric observable through this particular switched retarded assignment.

It is not the full solution-jet action (eq:phi1-transform). The question is whether the retarded assignment supplies that missing scalar transformation automatically.

Displayed formulas in this passage

VI@1#eq:A1g · line 1399
$A_{f, g}^{(1)} (h, ϕ_{0}) = \int f (- G_{R} Q_{g h} ϕ_{0} - X_{w [h]} ϕ_{0}) d^{4} x, P ϕ_{0} = 0.$
VI@1#eq:free-representative-identification · line 1409
$(h, ϕ_{0}) \sim (h + K ξ, ϕ_{0}), ξ \in g_{T} .$

The candidate and the tested identification

Displayed formulas in this passage

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