Manuscript X-F-ST@1 · X-F-ST.tex · section · e71f03ef

Matter normalization and classical values

F3: three response kernels, support, and admission › Matter normalization and classical values · lines 1674–1693

These values are evaluations of normal polynomial symbols, not quantum expectation values. They require no state. In particular, they do not supply positivity or a physical graviton Hilbert space.

The scalar-response part of the matter tree remains present:

⟨ d_{1} [l], u ⟩ = - \int f w^{μ} [l] \partial_{μ} u d^{4} x - \int f E_{m}^{R} L_{1} [l] u d^{4} x .

Its support need not be $K_{f}$ in the transposed scalar slot. This is the support correction already made in X-E-ST XEST.

Displayed formulas in this passage

unlabeled · line 1684
$⟨ d_{1} [l], u ⟩ = - \int f w^{μ} [l] \partial_{μ} u d^{4} x - \int f E_{m}^{R} L_{1} [l] u d^{4} x .$

Nearby in this section

proposition: Proposition: Classical values and the retained coefficient -2