Superluminal Transformations and Indeterminism

TL;DR

This paper proves that superluminal transformations cannot coexist with finite information content, implying that indeterminism associated with such transformations is subjective ignorance rather than an objective quantum feature.

Contribution

It establishes a no-go theorem showing superluminal transformations require unbounded information, linking superluminal physics to a deterministic classical ontology.

Findings

Superluminal transformations imply unbounded information content.

Indeterminism from superluminal transformations is subjective, not quantum.

Finite information and superluminal transformations cannot coexist.

Abstract

Quantum theory is widely regarded as fundamentally indeterministic, yet classical frameworks can also exhibit indeterminism once infinite information is abandoned. At the same time, relativity is usually taken to forbid superluminal signalling, yet Lorentz symmetry formally admits superluminal transformations (SpTs). Dragan and Ekert have argued that SpTs entail indeterminism analogous to the quantum one. Here, we derive a no-go theorem from natural assumptions, which can be interpreted as: superluminal transformations (SpTs) and finite information cannot coexist. Any theory accommodating SpTs must therefore allow unbounded information content, leading to a deterministic ontology akin to that of classical theories formulated over the real numbers. Thus, any apparent indeterminism arising from superluminal transformations reflects only probabilities arising from subjective ignorance, unlike the objective nature of probabilities in quantum theory, indicating that the claimed indeterminacy from superluminal extensions is not quantum.