Quantum Gravity: H(M) for M Quantum

This paper is the second paper after Synthesis II. In 2026a (Ch. 124), we proved no unital map T → E for H = S^1. In 2026b (Ch. 125), we generalized to the triple (dim H^n, dim C^n, 1). In 2026c (Ch. 138), we defined the Bridge Conjecture. In 2026d (Ch. 139), we proved the eraser must be CPTP. In 2026e (Ch. 140), we proved all four follow from one Unifier Axiom: [x,y] = 1. In 2026f (Ch. 141), we categorified H. In 2026g (Ch. 142), we proved the Unifier survives in characteristic p. In 2026h (Ch. 143), we proved it survives for infinite H. In 2026i (Ch. 144), we gave the lab falsifier D^2 + V^2 ≤ 1. In 2026j (Ch. 145), we proved the nine papers are one theorem. In 2026k (Ch. 146), we proved the Unifier survives for any A with [x,y] = 1. In 2026l (Ch. 147), we constructed H(M) for M Lorentzian. In 2026m (Ch. 148), we defined causal homotopy, π1^causal, and H1^causal. In 2026n (Ch. 149), we defined H^n_causal(H(M)) for all n. In 2026o (Ch. 150), we proved the fourteen papers are one theorem. In 2026p (Ch. 151), we proved Einstein + NEC + Bridge ⇒ no CTC, and NEC violation still forces erasure. Here we quantize M itself. Let M-hat be a quantum spacetime: a superposition sum_i c_i |M_i> of classical Lorentzian M_i, each with its own H(M_i) from 2026l. We define H(M-hat) = direct sum_i H(M_i) with superposition, and H^n_causal(H(M-hat)) = direct sum_i H^n_causal(H(M_i)) with interference. We prove: (1) if any M_i in the superposition has CTC, then H^1_causal(H(M-hat)) ≠ 0, (2) Bridge still forces CPTP erasure on the superposition, i.e. decoherence of the CTC branch, (3) the eraser acts as which-branch information: D^2+V^2 ≤ 1 for branches, (4) if all M_i are CTC-free, H^1_causal = 0 and no erasure is forced, (5) quantum gravity does not save CTC: quantizing M makes erasure stronger, not weaker, because superposition adds interference terms that must also be erased. This is not a full theory of quantum gravity. It is: H(M) for M quantum, Bridge for M quantum, erasure for M quantum. Tseglin 2026q = Ch. 152. Cites Tseglin 2026a DOI 10.5281/zenodo.23977165, 2026b DOI 10.5281/zenodo.23980498, 2026c DOI 10.5281/zenodo.23980738, 2026d DOI 10.5281/zenodo.23981860, 2026e DOI 10.5281/zenodo.23982063, 2026f DOI 10.5281/zenodo.23982359, 2026g DOI 10.5281/zenodo.23985216, 2026h DOI 10.5281/zenodo.23991367, 2026i DOI 10.5281/zenodo.23991442, 2026j DOI 10.5281/zenodo.23991535, 2026k DOI 10.5281/zenodo.23991603, 2026l DOI 10.5281/zenodo.23991665, 2026m DOI 10.5281/zenodo.23991998, 2026n DOI 10.5281/zenodo.23992083, 2026o DOI 10.5281/zenodo.23992187, 2026p DOI 10.5281/zenodo.23992267.