Causal Lag in Meta-Spacetime: A Novel Resolution to Temporal Paradoxes

This paper presents a novel thought experiment that resolves temporal paradoxes (such as the grandfather paradox) without invoking parallel universes or self-consistency principles. We propose that an observer who could hypothetically "step outside" conventional spacetime and make changes to the past would find those changes forever confined to regions that cannot causally influence their present. The key insight is that alterations to past events propagate forward at the speed of light, while the observer's present moment also advances at the same rate. This creates a "causal lag" effect where changes remain perpetually behind the observer's timeline, prevented by relativistic constraints from ever catching up. We formalize this concept using the mathematical framework of Cauchy surfaces and domains of dependence from general relativity, accompanied by a clear Penrose diagram visualization. The paper includes both rigorous mathematical treatment and accessible explanations for general audiences, making it suitable for physicists, philosophers, and anyone interested in the nature of time and causality. This work contributes to the theoretical physics literature on time travel paradoxes, offering a fresh perspective that respects known physics while exploring the logical boundaries of causality. A concrete example in 1+1 Minkowski spacetime demonstrates the principle in action. Keywords: temporal paradoxes, causality, general relativity, Cauchy surfaces, domains of dependence, grandfather paradox, thought experiments, spacetime, theoretical physics, philosophy of time

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-02
DOI
https://doi.org/10.5281/zenodo.15580184
Primary Topic
Relativity and Gravitational Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Causal Lag in Meta-Spacetime: A Novel Resolution to Temporal Paradoxes

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Causal Lag in Meta-Spacetime: A Novel Resolution to Temporal Paradoxes

article en

Abstract

This paper presents a novel thought experiment that resolves temporal paradoxes (such as the grandfather paradox) without invoking parallel universes or self-consistency principles. We propose that an observer who could hypothetically "step outside" conventional spacetime and make changes to the past would find those changes forever confined to regions that cannot causally influence their present. The key insight is that alterations to past events propagate forward at the speed of light, while the observer's present moment also advances at the same rate. This creates a "causal lag" effect where changes remain perpetually behind the observer's timeline, prevented by relativistic constraints from ever catching up. We formalize this concept using the mathematical framework of Cauchy surfaces and domains of dependence from general relativity, accompanied by a clear Penrose diagram visualization. The paper includes both rigorous mathematical treatment and accessible explanations for general audiences, making it suitable for physicists, philosophers, and anyone interested in the nature of time and causality. This work contributes to the theoretical physics literature on time travel paradoxes, offering a fresh perspective that respects known physics while exploring the logical boundaries of causality. A concrete example in 1+1 Minkowski spacetime demonstrates the principle in action. Keywords: temporal paradoxes, causality, general relativity, Cauchy surfaces, domains of dependence, grandfather paradox, thought experiments, spacetime, theoretical physics, philosophy of time

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Openalex Percentile: Top 69%
Relativity and Gravitational Theory
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