Measuring Velocity Using Moving Clocks—The Surprising Test of Tangherlini’s Theory

Motivated by Matsas et al. (2024), who demonstrated that time can serve as the fundamental unit for physical quantities, thereby obviating the need for traditional length–mass–time (LMT) dimensions, this study expands on some of the presented results. Using a Lorentz transformation (LT) matrix approach, we first validate the three-clock protocol, confirming distance derivation as a function of three proper clock times in a round-trip-like arrangement in Minkowski spacetime and additionally identifying moving clocks velocities without a distance measurement, which is already implicitly identified. The investigation was then extended to Tangherlini’s 4D spacetime framework (1958) to test the hypothesis that absolute velocity can be resolved through subluminal motion experiments. While initial three-clock scenarios resulted in systematic absolute velocity cancellation, a breakthrough was achieved by applying relativistic transverse Doppler effect logic. This approach successfully circumvents cancellation effects by identifying those electromagnetic waves in transit as becoming ‚anonymous‛ and owned by the Absolute Rest Frame (ARF), independent of source origin. We demonstrate that the ratio of transverse to longitudinal wave-vector components ky/kx provides a direct measure of the peculiar velocity relative to the Cosmic Microwave Background (CMB), fully reconciling with aberration angle methodologies utilised in Planck 2013 mission measurements. The findings reveal that both frameworks are mathematically equivalent representations of the same underlying reality, inevitably predicting absolute velocity despite historical objections. Consequently, a plausible absolute velocity methodology without instantaneous signals is proven possible, closing the "cancellation gap" via wave-vector geometry, and confirming the Tangherlini and special relativity theory (STR) frameworks.