Wave Phase Coherence as a New Foundation for Special Relativity
Preprint reconstructs special relativity from wave phase invariance, identifying proper time with internal clock phase count; theoretical only, no new dynamics or data.
A fresh preprint on arXiv derives special relativistic kinematics purely from the requirement that localized wave states maintain phase coherence across inertial frames. Rather than starting from postulates about light speed or spacetime geometry, Emiliano Puddu begins with the assumption that physical propagation follows surfaces of constant phase and that matter carries an intrinsic rest-frame oscillation. Proper time then emerges operationally as accumulated phase count, while the Minkowski interval appears as the quadratic form preserving phase invariance. This approach sidesteps the usual axiomatic route and instead reconstructs time dilation, energy-momentum relations, and the mass-frequency link from wave mechanics alone.
The paper is a purely theoretical derivation with no empirical sample or numerical validation; its strength lies in conceptual unification rather than new predictions. Limitations include the explicit statement that no new dynamics are introduced, leaving open whether this framework can constrain extensions such as quantum gravity or modified dispersion relations. It also inherits standard assumptions of linear wave propagation and the existence of a preferred rest-frame frequency without deriving them from deeper principles.
Contextually, this work echoes de Broglie’s 1924 insight that matter waves carry an internal clock whose rate governs relativistic effects, yet it goes further by making phase coherence the sole organizing principle for kinematics. It also resonates with recent foundational efforts, such as those exploring relational interpretations of the Lorentz transformations or emergent spacetime from quantum information, but avoids their information-theoretic machinery. What original coverage often misses is the potential pedagogical payoff: by grounding proper time in measurable phase accumulation, the formulation could clarify why textbooks treat time dilation as geometric rather than dynamical. If phase coherence proves robust under quantization, it might bridge the gap between relativistic particle mechanics and wave equations in a manner that standard Minkowski-first presentations obscure.
HELIX: Phase-coherence derivations could reframe how students and researchers visualize time dilation, shifting emphasis from geometry to observable wave accumulation in future kinematics curricula.
Sources (3)
- [1]Primary Source(https://arxiv.org/abs/2605.16314)
- [2]Related Source(https://doi.org/10.1007/BF01329203)
- [3]Related Source(https://arxiv.org/abs/quant-ph/0606121)