Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Paper III — Relativistic Extension of Ordered Information Locality

Paul Cooney

Published Dec 14, 2025• 0 citations
Publisher

Abstract

Paper III — Relativistic Extension of Ordered Information Locality DescriptionExtending the operational locality framework into a relativistic regime, this paper demonstrates how Lorentz-compatible dynamics emerge from ordered information constraints. Without presupposing Minkowski spacetime, relativistic causal structure arises from invariant bounds on influence propagation. This work situates special relativity as an emergent consistency condition within the Ordered-Dynamics Reconstruction Program rather than a fundamental geometric assumption. Keywordsrelativity; Lorentz invariance; operational locality; causal structure; emergent spacetime; quantum foundations

DOI
10.5281/zenodo.17925670

Related papers

Paper XII - Emergent Spatial Locality from Bounded Influence

Paul Cooney

This paper derives spatial locality as an emergent operational concept arising from bounded influence propagation. Without assuming spacetime geometry or metric structure, distance and neighborhood relations emerge from constraints on distinguishability and causal accessibility. The result provides an information-theoretic origin for spatial structure within ordered dynamics. Keywordsemergent space; locality; bounded influence; operational physics; information constraints

•Dec 21, 2025•0 citations

Causal Structure as a Reference: A Minimal Reinterpretation of Entanglement within Relativistic Causality

Yasuo Tanaka

This work presents a minimal reinterpretation of quantum entanglement based solely on the causal structure inherent in relativistic spacetime. No new physical entities, parameters, or modifications to existing theories are introduced.The discussion remains entirely within the established frameworks of general relativity and quantum mechanics, with particular emphasis on Lorentz invariance and relativistic causality. The central idea is that the causal structure of spacetime is unique and invariant, while spatial separation corresponds to different references (foliations) to this structure rather than its duplication.Within this viewpoint, quantum entanglement is understood as a local readout of correlations already encoded in a shared causal structure, without invoking nonlocal influences or superluminal information transfer. This document is intended as a conceptual clarification and archival record rather than a proposal of a new theory.It is provided to preserve a logically consistent interpretation that may be of interest for future foundational discussions.

•Dec 28, 2025•0 citations

Paper I — Ordered Dynamics and Operational State Spaces

Paul Cooney

Paper I — Ordered Dynamics and Operational State Spaces DescriptionThis paper inaugurates the Ordered-Dynamics Reconstruction Program (ODRP) by introducing the foundational concept of ordered dynamics as a pre-geometric, pre-spatiotemporal substrate for physical theory. Without assuming spacetime, Hilbert space, or quantum postulates, we construct operational state spaces from minimal ordering and distinguishability requirements. The paper establishes the core axioms governing records, operational comparison, and bounded influence, providing the primitive framework from which locality, dynamics, and physical observables will later emerge in the series. Keywordsordered dynamics; operational state spaces; foundations of physics; pre-spacetime physics; information theory; reconstruction programs

•Dec 14, 2025•0 citations

QUANTUM FIELD COHERENCE AND RELATIVISTIC SPACE-TIME STRUCTURE: CONCEPTUAL AND FOUNDATIONAL ANALYSIS

Mart Kallas, Liis Vaher

Abstract The conceptual unification of quantum mechanics and relativity remains one of the central challenges of modern theoretical physics. While quantum theory successfully describes microscopic phenomena through probabilistic wave dynamics and field quantization, relativity establishes the geometric structure of space-time and the causal organization of physical events. Despite extensive progress in quantum field theory and relativistic quantum frameworks, foundational tensions persist regarding locality, causality, and coherence. This study presents a conceptual and structural analysis of quantum field coherence within relativistic space-time. Rather than focusing on specific unification proposals, we examine the compatibility conditions between quantum coherence, relativistic causality, and space-time structure. Particular attention is given to field-based interpretations of quantum states, entanglement propagation limits, and covariance requirements. The analysis synthesizes perspectives from relativistic quantum field theory, conceptual foundations of quantum measurement, and geometric interpretations of space-time. We argue that coherence phenomena can be understood as structurally constrained by relativistic causal order, without requiring violation of space-time locality. The aim of this article is to clarify foundational relationships between quantum coherence and relativistic structure through a conceptual framework that integrates field-theoretic and geometric viewpoints.

•Mar 3, 2026•0 citations

Absolute Simultaneity Theory. A Medium-Based Framework for Relativistic Kinematics and Quantum Nonlocality

Freddy Santermans

AbstractLoophole-free Bell experiments have conclusively demonstrated that non-local correlations are a fundamental property of physical reality. Within the Minkowskian framework of Special Relativity (SRT), the relativity of simultaneity renders the temporal ordering of spacelike-separated events inherently frame-dependent. This creates a conceptual inconsistency for any ontologically realist interpretation of quantum mechanics: if measurement outcomes correspond to objective physical events, then the absence of a preferred foliation leads unavoidably to contradictory causal histories or retrocausal influences. In this work, we formulate a Conditional No-Go Theorem showing that Ontological Realism, Linear Causality, and Fundamental Lorentz Invariance cannot all hold simultaneously. Preserving a coherent causal structure therefore requires relinquishing Lorentz invariance as a primitive spacetime symmetry. We propose Absolute Simultaneity Theory (AST), a framework in which Lorentz covariance emerges thermodynamically from a quantum vacuum treated as a structured medium in equilibrium. Drawing on analogies with condensed-matter systems—particularly Volovik’s superfluid vacuum paradigm—we show that a preferred rest frame, plausibly identified with the Cosmic Microwave Background (CMB) frame, is fully compatible with the empirical success of SRT. In AST, local Lorentz symmetry arises as a stability condition of the underlying vacuum dynamics rather than as a fundamental geometric postulate. This reconceptualization allows quantum non-locality and relativistic kinematics to coexist within a unified, time-ordered ontology.

•Jan 11, 2026•0 citations

Compatibility of Cyclic Causal Structures with Spacetime in General Theories with Free Interventions

Maarten Grothus

By relating and ordering events, causality constitutes a pivotal feature of our world. On the one hand, there are information-theoretic notions of causality defined in terms of the information processing ability of agents and on the other hand, there are relativistic notions of causality tied to a spacetime. In this thesis, we improve upon a framework introduced by V. Vilasini and R. Colbeck in PRA, 106, 032204 (2022) and PRL, 129, 110401 (2022) for connecting these notions, where the possibility of operationally detectable causal loops embedded in (1+1)-Minkowski spacetime without superluminal signalling was demonstrated. In the first part, we take the information-theoretic point of view, where the concept of higher-order (HO) affects relations was proposed to generically model signalling in the presence of cyclic, fine-tuned and non-classical causal influences. We establish new properties of HO affects relations and apply them to infer causal structures. We then demonstrate a complete and constructive way to detect causal loops from a set of HO affects relations. In the second part, we study the embedding of information-theoretic causal structures into partially ordered spacetimes. We propose stability conditions on the spacetime embedding to rule out a class of operationally detectable loops that cannot be ruled out by the principle of no-signalling (outside the relativistic future) alone. We then propose novel order-theoretic properties that we conjecture to hold in Minkowski spacetime with $d \geq 2$ spatial dimensions. This would imply that in contrast to (1+1)-Minkowski spacetime, in higher dimensions, the no-signalling principle is indeed sufficient for ruling out this class of loops. Finally, we introduce a relation which allows for causal inference through knowledge about the absence of signalling relations and we relate it to novel order-theoretic features of spacetime.

arXiv:2211.03593•Nov 7, 2022•0 citations
Paper III — Relativistic Extension of Ordered Information Locality DescriptionExtending the operational locality framework into a relativistic regime, this paper demonstrates how Lorentz-compatible dynamics emerge from ordered information constraints. Without presupposing Minkowski spacetime, relativistic causal structure arises from invariant bounds on influence propagation. This work situates special relativity as an emergent consistency condition within the Ordered-Dynamics Reconstruction Program rather than a fundamental geometric assumption. Keywordsrelativity; Lorentz invariance; operational locality; causal structure; emergent spacetime; quantum foundations
This work presents a minimal reinterpretation of quantum entanglement based solely on the causal structure inherent in relativistic spacetime. No new physical entities, parameters, or modifications to existing theories are introduced.The discussion remains entirely within the established frameworks of general relativity and quantum mechanics, with particular emphasis on Lorentz invariance and relativistic causality. The central idea is that the causal structure of spacetime is unique and invariant, while spatial separation corresponds to different references (foliations) to this structure rather than its duplication.Within this viewpoint, quantum entanglement is understood as a local readout of correlations already encoded in a shared causal structure, without invoking nonlocal influences or superluminal information transfer. This document is intended as a conceptual clarification and archival record rather than a proposal of a new theory.It is provided to preserve a logically consistent interpretation that may be of interest for future foundational discussions.
Paper I — Ordered Dynamics and Operational State Spaces DescriptionThis paper inaugurates the Ordered-Dynamics Reconstruction Program (ODRP) by introducing the foundational concept of ordered dynamics as a pre-geometric, pre-spatiotemporal substrate for physical theory. Without assuming spacetime, Hilbert space, or quantum postulates, we construct operational state spaces from minimal ordering and distinguishability requirements. The paper establishes the core axioms governing records, operational comparison, and bounded influence, providing the primitive framework from which locality, dynamics, and physical observables will later emerge in the series. Keywordsordered dynamics; operational state spaces; foundations of physics; pre-spacetime physics; information theory; reconstruction programs
Abstract The conceptual unification of quantum mechanics and relativity remains one of the central challenges of modern theoretical physics. While quantum theory successfully describes microscopic phenomena through probabilistic wave dynamics and field quantization, relativity establishes the geometric structure of space-time and the causal organization of physical events. Despite extensive progress in quantum field theory and relativistic quantum frameworks, foundational tensions persist regarding locality, causality, and coherence. This study presents a conceptual and structural analysis of quantum field coherence within relativistic space-time. Rather than focusing on specific unification proposals, we examine the compatibility conditions between quantum coherence, relativistic causality, and space-time structure. Particular attention is given to field-based interpretations of quantum states, entanglement propagation limits, and covariance requirements. The analysis synthesizes perspectives from relativistic quantum field theory, conceptual foundations of quantum measurement, and geometric interpretations of space-time. We argue that coherence phenomena can be understood as structurally constrained by relativistic causal order, without requiring violation of space-time locality. The aim of this article is to clarify foundational relationships between quantum coherence and relativistic structure through a conceptual framework that integrates field-theoretic and geometric viewpoints.
AbstractLoophole-free Bell experiments have conclusively demonstrated that non-local correlations are a fundamental property of physical reality. Within the Minkowskian framework of Special Relativity (SRT), the relativity of simultaneity renders the temporal ordering of spacelike-separated events inherently frame-dependent. This creates a conceptual inconsistency for any ontologically realist interpretation of quantum mechanics: if measurement outcomes correspond to objective physical events, then the absence of a preferred foliation leads unavoidably to contradictory causal histories or retrocausal influences. In this work, we formulate a Conditional No-Go Theorem showing that Ontological Realism, Linear Causality, and Fundamental Lorentz Invariance cannot all hold simultaneously. Preserving a coherent causal structure therefore requires relinquishing Lorentz invariance as a primitive spacetime symmetry. We propose Absolute Simultaneity Theory (AST), a framework in which Lorentz covariance emerges thermodynamically from a quantum vacuum treated as a structured medium in equilibrium. Drawing on analogies with condensed-matter systems—particularly Volovik’s superfluid vacuum paradigm—we show that a preferred rest frame, plausibly identified with the Cosmic Microwave Background (CMB) frame, is fully compatible with the empirical success of SRT. In AST, local Lorentz symmetry arises as a stability condition of the underlying vacuum dynamics rather than as a fundamental geometric postulate. This reconceptualization allows quantum non-locality and relativistic kinematics to coexist within a unified, time-ordered ontology.
By relating and ordering events, causality constitutes a pivotal feature of our world. On the one hand, there are information-theoretic notions of causality defined in terms of the information processing ability of agents and on the other hand, there are relativistic notions of causality tied to a spacetime. In this thesis, we improve upon a framework introduced by V. Vilasini and R. Colbeck in PRA, 106, 032204 (2022) and PRL, 129, 110401 (2022) for connecting these notions, where the possibility of operationally detectable causal loops embedded in (1+1)-Minkowski spacetime without superluminal signalling was demonstrated. In the first part, we take the information-theoretic point of view, where the concept of higher-order (HO) affects relations was proposed to generically model signalling in the presence of cyclic, fine-tuned and non-classical causal influences. We establish new properties of HO affects relations and apply them to infer causal structures. We then demonstrate a complete and constructive way to detect causal loops from a set of HO affects relations. In the second part, we study the embedding of information-theoretic causal structures into partially ordered spacetimes. We propose stability conditions on the spacetime embedding to rule out a class of operationally detectable loops that cannot be ruled out by the principle of no-signalling (outside the relativistic future) alone. We then propose novel order-theoretic properties that we conjecture to hold in Minkowski spacetime with d≥2d \geq 2d≥2 spatial dimensions. This would imply that in contrast to (1+1)-Minkowski spacetime, in higher dimensions, the no-signalling principle is indeed sufficient for ruling out this class of loops. Finally, we introduce a relation which allows for causal inference through knowledge about the absence of signalling relations and we relate it to novel order-theoretic features of spacetime.