Modal Fixed Points, Bell's Beables, and the Limits of Factorization: Upper-Local Dynamics, Nonseparable States, and Operational No-Signaling in MTT

Bell experiments do not require a controllable signal between spacelike separated laboratories, but they do exclude a complete measurement-independent hidden-variable description whose conditional probabilities factorize. This paper formulates that distinction for Modal Triplet Theory (MTT). The upper description is a local algebra or field theory on a four-dimensional causal base with a six-dimensional internal space, while an admissible fixed point may define a globally nonseparable state. Under an explicit base-local descent hypothesis, microcausality passes to the four-dimensional observable algebras. Under standard local completely positive instruments, this gives operational no-signaling. If the descended statistics violate CHSH while measurement independence is retained, Bell factorization must nevertheless fail. The result is therefore not a Bell-local hidden-variable completion. It is a conditional account in which upper-local dynamics and globally constrained state selection coexist, so the correlations need not be produced by a spacelike dynamical influence. A singlet packet is included as a benchmark, not as an MTT prediction. A physical MTT realization still requires a selected fixed-point state, a locality-preserving descent, local instruments, and a probability source that yields the benchmark statistics.