Manuscript X-L-ST@1 · X-L-ST.tex · assumption · 20a32a22

Assumption: Retained I-B/X-A-ST host

Unchanged host and analytical completion · lines 243–285

X-L-ST@1#ass:host, X-L-ST@1#eq:signature

Retain the prescribed time-oriented regular conical product

M^{\circ} = R_{T} \times (C_{α} ∖ {o}) \times R_{z},

G = - c_{h}^{2} d T^{2} + d r^{2} + α^{2} r^{2} d φ^{2} + d z^{2}, 0 < α < 1, c_{h} > 0,

with completion worldsheet

W = R_{T} \times {o} \times R_{z} .

The supported laboratory is disjoint from $W$ .

The independently declared analytical completion is

M = R^{1 + 3}, η = diag (1, - 1, - 1, - 1), □ = \partial_{t}^{2} - Δ_{x} .

On the supported developing chart $ι : L \to M^{\circ}$ , retain

ι^{*} G = - η, t = c_{h} (T - T_{Σ}) .

Retain the same switches, plateau $U ⋐ L$ , regulator prescription, and fixed positive width

σ_{ε} (t) = χ (t / ε), ε > 0.

Neither $ε$ , $χ$ , nor the host is varied.

All analytical equations, free fields, and Green operators below are defined on $M$ , not on the regular cone.

Displayed formulas in this passage

X-L-ST@1#eq:signature · line 269
$ι^{*} G = - η, t = c_{h} (T - T_{Σ}) .$
unlabeled · line 246
$M^{\circ} = R_{T} \times (C_{α} ∖ {o}) \times R_{z},$
unlabeled · line 250
$G = - c_{h}^{2} d T^{2} + d r^{2} + α^{2} r^{2} d φ^{2} + d z^{2}, 0 < α < 1, c_{h} > 0,$
unlabeled · line 256
$W = R_{T} \times {o} \times R_{z} .$
unlabeled · line 262
$M = R^{1 + 3}, η = diag (1, - 1, - 1, - 1), □ = \partial_{t}^{2} - Δ_{x} .$
unlabeled · line 277
$σ_{ε} (t) = χ (t / ε), ε > 0.$