Generalized Principle of Limiting 4-Dimensional Symmetry. Solution of the "Two-Spaceship Paradox"

TL;DR

This paper resolves the two-spaceship paradox in special relativity using a novel approach based on the generalized principle of limiting 4-dimensional symmetry, clarifying the role of nonholonomic transformations.

Contribution

It introduces a new resolution method for the paradox through explicit calculations leveraging the generalized symmetry principle, expanding understanding of relativistic transformations.

Findings

Resolved the two-spaceship paradox explicitly

Clarified the physical meaning of nonholonomic transformations

Demonstrated the application of generalized symmetry in relativity

Abstract

A "Two-Spaceship Paradox" in special relativity is resolved and discussed. We demonstrate a nonstandard resolution to the "two-spaceship paradox" by explicit calculation using Generalized Principle of limiting 4-dimensional symmetry proposed in previous paper [1].The physical and geometrical meaning of the nonholonomic transformations used in special relativity is determined.