Falsifiable Predictions of the Ze Framework

Abstract

The Ze Framework proposes that relativistic and quantum effects emerge from the statistics of causal event updates rather than from the fundamental geometry of spacetime. This paper presents eight falsifiable predictions (FP-1 through FP-8) of the Ze Framework, formally restated in precise mathematical language. Four predictions are verified computationally: FP-1 (universal Lorentz scaling τ(v)/τ₀ = √(1−v²), confirmed to residuals < 10⁻⁵ across 21 velocity values and N = 10⁷ events); FP-2 (implementation equivalence — i.i.d., Markov, and deterministic streams with identical (N_T, N_S) yield identical τ); FP-3 (acceleration independence — four p-profiles with equal effective velocity produce equal τ/τ₀); FP-5 (causal chain length determines proper time — τ = √(L_c² + 2L_c·N_S) matches the Minkowski interval exactly). FP-6 (twin paradox) is verified to agree with the SR prediction to within statistical fluctuations O(1/√N). FP-4, FP-7, and FP-8 are critically assessed: FP-4 is reformulated as an analytic limit statement; FP-7 and FP-8 are identified as theoretical programme goals requiring future formal development. All computationally tested predictions pass their pre-specified falsifiability thresholds. The Ze Framework is found to be self-consistent within its defined domain and fully compatible with the established structures of special relativity at the level of counter dynamics.