Parallel Intersection Studies: A Unified Theoretical Framework Based on Scale Relativity and Parallel Relativity

Parallel Intersection Studies: A Unified Theoretical Framework Based on Scale Relativity and Parallel Relativity Parallel Intersection Studies (PIS) is a pan-disciplinary unified theoretical framework of scale and observation systems. Its core research scope is: for different research fields, objects, goals, observational perspectives, and reference systems, to match, select, and define appropriate observational scales and observation system rules. This paper proposes a cross-disciplinary theoretical framework—Parallel Intersection Studies. The framework is based on two core axioms: Scale Relativity and Parallel Relativity. On this basis, the paper introduces Time Non-Entity, Scale Difference Composition, and other derived axioms, and provides a quantifiable energy description formula. The core claim is that classical physics, relativity, and quantum mechanics are not three mutually contradictory systems, but local manifestations of the same underlying dynamics at different scale levels. The paper provides two falsifiable predictions. The first prediction has two layers: (1) the existence of an observation system causes the observation result to change requiring time; (2) changes in the complexity of the observation system will cause changes in the time delay Δt of interference fringe switching in the double-slit experiment. The first layer is the core of the theory; the second layer is a specific parameter conjecture. Even if the second layer is falsified, the first layer can still stand independently. The second prediction can be directly tested using existing atomic and laser spectroscopy databases. Using 17 sets of measured data from hydrogen Balmer and Lyman series, the paper obtains the hydrogen scale coefficient Λ_H ≈ 4.1×10⁻⁵. The experimental design corresponding to the falsifiable predictions of this theoretical framework is described in the companion preprint "Experimental Design for Measuring the Time Delay of Interference Fringe Switching Induced by Observation System Complexity". V1.2: Added the disciplinary definition of Parallel Intersection Studies, refined Axiom 2 (geometric vs. dynamical parallelism), clarified Axiom 3 (time as non-entity), added dimensional notes to the energy formula, downgraded residual comparison to preliminary observation, moved life conjecture to appendix with boundary statement, added cross-validation suggestion, and added reference list. Previous version files retained for traceability.