God Does Not Play Dice: Quantum Determinism in the MMA-DMF Framework

We present a deterministic, superdeterministic completion of quantum theory inside a cosmological scalar–tensor framework called MMA-DMF. A single scalar degree of freedom with fundamental scale M≃100M 100M≃100 TeV regularises the Big Bang into a non-singular Big Bounce, replaces particle dark matter and dark energy, and acts as a global hidden variable whose phase correlates all measurement settings and outcomes through common initial conditions. This article consolidates and reorganises six monographic technical reports, plus the associated Python codes and CSV files, into a single submission-ready paper. The programme proceeds in four layers. First, we establish that the scalar dynamics are chaotic and ergodic (Tests T1–T2), so coarse-grained observables appear stochastic even though the microscopic evolution is unique. Second, we construct contextual hidden-variable models for Bell and GHZ experiments (Tests B1–B3, GHZ-1) in which the local outcome is a deterministic function of the scalar phase λλλ and the measurement setting, but the distribution ρ(λ∣a,b)ρ(λ|a,b)ρ(λ∣a,b) is fixed by the global scalar geometry and therefore violates statistical independence. The model reproduces CHSH violations up to S≃2.82S 2.82S≃2.82 and GHZ parity constraints while remaining locally causal in relativistic spacetime. A detailed no-signalling analysis and dedicated numerical tests show that marginal probabilities at each wing are independent of the distant setting. Third, we derive the Born rule from deterministic dynamics (Tests P1–P2). The scalar field defines an ergodic flow in phase space with an invariant measure that pushes forward to a density proportional to ∣ψ∣2|ψ|^2∣ψ∣2 for the effective wavefunction, and detection rates are proportional to the squared amplitude of the classical scalar field. Monte Carlo simulations of detection events match the Born prediction for a variety of effective wavefunctions. Fourth, we embed more demanding foundational experiments (KS-1, W-1, W-2, QFT-1) in the same framework. Kochen–Specker contextuality arises from the dependence of ρ(λ∣C)ρ(λ|C)ρ(λ∣C) on the full commuting set CCC; Wheeler delayed choice is mapped to a causal spacetime diagram anchored at the bounce; Wigner’s friend / Frauchiger–Renner paradoxes are resolved by recognising the wavefunction as a partial encoding of the underlying scalar configuration; and a deterministic reinterpretation of the path integral reproduces tree-level scattering amplitudes to within a few ×10−4× 10⁻⁴×10−4. On the cosmological side, the same scalar sector solves or alleviates a series of anomalies. The ancillary file espectro_geometrico_validacao_global.csv shows that MMA-DMF predicts M=100M = 100M=100 TeV, an Early-X component with fpeak=0.362fₚₑₐₖ = 0.362fpeak=0.362 (Thermodynamic Test T-Thermo), a BBN Yukawa shift ζBBN=−0.009ζBBN = -0.009ζBBN=−0.009 (Baryogenesis Test T-Zeta), a Hubble constant H0≃72.1 km s−1 Mpc−1H_0 72.1\ km s⁻¹\ Mpc⁻¹H0≃72.1 km s−1 Mpc−1, a late-time clustering amplitude S8≃0.772S_8 0.772S8≃0.772, a lithium abundance 7Li/H≃2.8×10−10{}^7Li/H 2.8 × 10⁻¹⁰7Li/H≃2.8×10−10 consistent with the Spite plateau, and a gravitational-wave echo delay Δt≃32 msΔ t 32\ msΔt≃32 ms for compact objects. A companion CSV, setup_TDT_consolidated_parameters.csv, summarises a “Total Determinism Test” (TDT) in which all key macroscopic parameters — including fpeakfₚₑₐₖfpeak and ζBBNζBBNζBBN — are derived from MMM, geometric flavour charges qfq_fqf and the scalar dynamics, rather than fitted.