Falsifiable Predictions of the Ze Framework

Key findings from this study

• The framework establishes that universal Lorentz scaling holds to residuals below 10⁻⁵ across 21 velocity values with 10⁷ events.
• The authors demonstrate that implementation equivalence holds: different event stream structures with identical parameters produce identical proper time dilation.
• The study found that proper time equals √(L_c² + 2L_c·N_S), exactly matching the Minkowski interval.
• The framework's twin paradox predictions agreed with special relativity results to within statistical fluctuations of order O(1/√N).

Overview

The Ze Framework proposes that relativistic and quantum effects emerge from causal event update statistics rather than spacetime geometry. This paper presents eight formally restated falsifiable predictions and reports computational verification of five core predictions, finding consistency with special relativity within the framework's defined domain.

Methods and approach

The authors formalized eight predictions (FP-1 through FP-8) in mathematical language and evaluated them computationally. Four predictions underwent numerical testing across specified parameter ranges. FP-4, FP-7, and FP-8 received critical assessment and reformulation as theoretical programme objectives.

Results

Computational verification confirmed four predictions at high precision. FP-1 established universal Lorentz scaling τ(v)/τ₀ = √(1−v²) with residuals below 10⁻⁵ across 21 velocity values and 10⁷ events. FP-2 demonstrated implementation equivalence: i.i.d., Markov, and deterministic event streams with identical parameters (N_T, N_S) produced identical time dilation. FP-3 showed acceleration independence, with four distinct p-profiles yielding equal τ/τ₀ when effective velocity matched. FP-5 established that proper time τ equals the square root of (L_c² + 2L_c·N_S), matching the Minkowski interval exactly.

FP-6 addressing the twin paradox agreed with special relativity predictions to within statistical fluctuations of order O(1/√N). All computationally tested predictions passed their pre-specified falsifiability thresholds. FP-4 was reformulated as an analytic limit statement. FP-7 and FP-8 were identified as requiring future formal development and remain designated as theoretical programme goals rather than validated predictions.

Implications

The Ze Framework demonstrates formal consistency with special relativity at the level of counter dynamics. The framework's causal event update approach produces equivalent dynamical structures to relativistic spacetime geometry, suggesting statistical foundations for known relativistic effects. This equivalence supports the viability of the Ze Framework as an alternative theoretical formulation rather than a competing theory with incompatible predictions.

The unverified predictions (FP-4, FP-7, FP-8) represent open mathematical and theoretical problems requiring rigorous development. Future work must establish these predictions with the same precision and falsifiability criteria met by the verified subset. The framework's performance on standard relativistic tests establishes a foundation for exploring quantum mechanical implications claimed in the abstract.

Scope and limitations

This summary is based on the study abstract and available metadata. It does not include a full analysis of the complete paper, supplementary materials, or underlying datasets unless explicitly stated. Findings should be interpreted in the context of the original publication.