Manuscript IV@1 · IV.tex · section · 351cb2d7

Objects and domains

Cutoff ledger: Model 1 › Objects and domains · lines 3457–3489

Object	Definition and status
Gravitational sector	The fixed real plane $span {e, r}$ , with $σ_{plane} (e, r) = 1$ . It is the model, not a regulator.
Quantum space	$L^{2} (R) \otimes Γ_{s} (L^{2} (R^{3}))$ .
Scalar coefficients	$u_{0, f}, u_{e, f}, u_{r, f} \in S (R^{3})$ , obtained from the zero-data map and the signed effective smearing (eq:gplane).
Initial operator domain	All finite total-particle vectors, with arbitrary one-particle labels.
Closure	Essentially self-adjoint; $Dom N$ is contained in its domain.
Active scalar space	At most three detector-dependent one-particle directions.
Formal parameter	$κ^{2} = 0$ , used only for coefficient correspondence.
Numerical interpolation	$λ \in R$ , defining the separately specified operator.