This paper presents a momentum-based reinterpretation of relativistic time dilation within a time-free space-vibration framework. Without assuming time as a fundamental physical variable, relativistic phenomena are reconstructed using only observable quantities, including spatial displacement, momentum distribution, and configuration-transition accessibility. Velocity is reformulated as displacement per reference vibration progression, and relativistic effects are interpreted as consequences of finite configuration-capacity redistribution rather than deformation of temporal flow. The framework reproduces all experimentally verified predictions of special and general relativity, including GPS timing corrections, relativistic particle lifetime extension, and gravitational redshift. Quantitative predictions remain unchanged; only the ontological interpretation is reformulated. This work provides a concrete physical implementation of the space-vibration hypothesis and offers a consistent time-independent interpretation of relativistic phenomena.
Chikaaki Kogure (Sun,) studied this question.