What a 5D geometry can, and cannot, derive of quantum mechanics

We examine the claim, made in the corpus of the 5D Solitonic Theory (TS5D), to derivequantum mechanics the Schrödinger equation, the Born rule, spin, entanglement, andthe Tsirelson bound 2√2 from a deterministic geometric substrate whose compact fthdimension e = S1/Z6 represents energy. We separate two levels of structure: (a) the discretequantum numbers (KaluzaKlein tower, topological sectors, spin-statistics sign), which thediscrete/abelian geometry provides; and (b) the Hilbert-space structure (complex superposition,SU(2) qubit, entanglement, 2√2), which it does not provide without further input.We establish, through four independent and complete demonstrations (local CHSH bound;Tsirelson bound; geometric quantization of S2; two-soliton correlation), that: (i) the qubit isrealizable without any new eld, as a topological sector of a KaluzaKlein monopole (Hopfbration, c1 = 1), but that no internal principle of TS5D forces it; (ii) the value 2√2 isnot derivable from a deterministic local substrate, because Bell's theorem is a theorem, nota circumventable empirical constraint. The defensible form of TS5D is a geometrized non-local Bohm: a deterministic, non-local theory whose 4D projection is quantum mechanics,the quantum content entering at two named, minimal points. The fth dimension e givesnon-locality a deterministic geometric mechanism, without rendering it local.Nature of the text. This is a foundational / clarication paper: it establishes the minimalconditions under which a deterministic 5D geometry can reproduce quantum mechanics, andthe theorem-level obstacles (Bell, Tsirelson, qubit topology, chirality, Born rule) that boundthem. It claims no new complete derivation.