Doppler effect of time and space

TL;DR

This paper extends the relativistic Doppler effect to include time and space associated with moving bodies, suggesting that their size dilates along the direction of motion based on wave-front analysis and supporting evidence.

Contribution

It introduces a novel extension of the relativistic Doppler effect to time and space, proposing size dilation of moving bodies along their path.

Findings

Time and space can be represented by the same vector quantities.

Moving bodies dilate in size along their direction of motion.

Thought experiments and real facts support the proposed extension.

Abstract

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion in the empty space, as viewed from the stationary reference. Indeed, time and space can be represented by the same vector quantities, which appear asymmetrical in forward and back direction along the path of the moving body. Consequently, the whole size of the moving bodies dilates along the direction of their motion, as their path. Thought experiments and real facts demonstrate this issue.