Proposition: No metric dynamics from the limiting body

The constructions and shape-transfer statements in this paper provide no metric field, conformal scale, Einstein tensor, observer-frame action, or gravitational field equation.

Proof. Their mathematical outputs are norms, random arrival times, specified channels, and classical records. None of the definitions assigns a position-dependent Lorentzian metric or a frame action.

Even if an additional Lorentz-cone identification were supplied, a constant affine quadratic form would have constant metric coefficients. Its Christoffel symbols and curvature would vanish. Conversely a pointwise cone field would fix at most conformal causal data: multiplying a metric by a positive function preserves its null cones while changing derivative-dependent curvature. Thus neither operation supplies the missing metric dynamics.