Comments on ''The Principle of Self-Consistency as a consequence of the Principle of Minimal Action''

TL;DR

This paper critically examines the principle of self-consistency in space-time models with causality violation, arguing it is fundamentally geometrical and not a consequence of the principle of minimal action.

Contribution

It clarifies the geometrical nature of the self-consistency principle and refutes the claim that it derives from the principle of minimal action.

Findings

Self-consistency constraints are purely geometrical and topological.

The claim linking self-consistency to minimal action is incorrect.

The analysis applies to test particle motion and scalar fields.

Abstract

The so called ''Principle of the self-consistency'' for space-time models with causality violation, which was firstly formulated by I.D.Novikov, is discussed for the test particle motion and for test scalar field. It is shown that the constraints, which provide the self-concistensy of test particle motion have pure geometrical (topological) nature. So, the recent statement that ''The Principle of self-consistensy is a consiquence of the Principle of minimal action'' is wrong.