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

Quantum Uncertainty and Relativity

Sebastiano Tosto

Published Apr 1, 2012• 5 citations
OpenAlex

Abstract

The major challenge of modern physics is to merge relativistic and quantum theories \ninto a unique conceptual frame able to combine the basic statements of the former with \nthe quantization, the non-locality and non-reality of the latter. A previous paper has \nshown that the statistical formulation of the space-time uncertainty allows to describe \nthe quantum systems in agreement with these requirements of the quantum world. The \npresent paper aims to extend the same theoretical model and approach also to the special \nand general relativity.

Related papers

An “ab initio” Model for Quantum Theory and Relativity

Sebastiano Tosto

The paper introduces a theoretical model aimed to show how the relativity can be made consistent with the non reality and non locality of the quantum physics.The concepts of quantization and superposition of states, usually regarded as distinctive properties of the quantum world, can be extended also to the relativity.

Journal of Applied Mathematics and Physics•Jan 1, 2021•3 citations

An Analysis of States in the Phase Space: From Quantum Mechanics to General Relativity

Sebastiano Tosto

The paper has heuristic character. The conceptual frame, based on the assumption of quantum uncertainty only, has been formerly introduced in two papers [S. Tosto, Il Nuovo Cimento B, vol. 111, n.2, 1996 and S. Tosto, Il Nuovo Cimento D, vol. 18, n.12, 1996]. Instead of attempting to increase the accuracy of some existing computational model through a new kind of approximation, these papers acknowledge since the beginning the lack of deterministic information about the local properties of the constituent particles, considered random, unknown and unpredictable and thus ignored in principle. The leading idea is that the physical properties of quantum systems could be inferred merely considering the delocalization ranges of dynamical variables, rather than their local values. In effect, despite the agnostic character of the approach proposed, both papers show that the kind of physical information reachable reproduces exactly in all cases examined that obtained solving the pertinent wave equations. The concept of quantum uncertainty is further extended in the present paper to both space and time coordinates, considering thus a unique spacetime delocalization range and still discarding since the beginning the local values of the conjugate dynamical variables. The paper shows an unexpected wealth of information obtainable simply extending the concept of space uncertainty to that of spacetime uncertainty: the results are inherently consistent with that of the operator formalism of wave mechanics and with the basic postulates of special relativity, both inferred as corollaries. Moreover, even the gravity appears to be essentially a quantum phenomenon. The most relevant outcomes of special and general relativity are achieved as straightforward consequence of the space-time delocalization of particles using the simple quantum formalism first introduced in the early papers.

arXiv:0807.1011•Jul 7, 2008•3 citations

Quantum Mechanics versus Special Relativity: A forgotten conflict

Rafael Andrés Alemañ Berenguer

Despite the widespread assumptions on the compatibility between non-relativistic quantum mechanics and special relativity, there still remains a considerable amount of unresolved problems to which few authors explicitly pay attention. Most of them involve the aim of coherently achieving a relativistic description of quantum collapses and quantum entanglements. These processes seem to challenge our present picture of the physical world in terms of space-time structures.

•Nov 1, 2008•1 citation

The Theory of Quantum Relativity

Daniel Cordero Grau

In this Article I lay down the Theory of Quantum Relativity which unify Quantum Mechanics of Bohr, Planck, Heisenberg and Schrodinger and Relativity of Einstein

•Aug 1, 2017•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

Theory of Temporal Relativity

Alessio Piccinotti

The Theory of Temporal Relativity proposes a unified theoretical framework that extends Special and General Relativity into the complex domain, integrating aspects of Quantum Mechanics within a single geometrical structure. The theory introduces a generalized Hilbert-space geometry and interprets quantum states as observer-dependent, arising from complex temporal relations between reference frames. Theory of Temporal Relativity is a theoretical framework proposing a unified extension of Special and General Relativity into the complex domain, with the goal of incorporating aspects of Quantum Mechanics within a consistent geometrical model. The theory generalizes Hilbert-space geometry and relativistic invariance to complex coordinates, introducing observer-dependent descriptions of physical quantities and a reinterpretation of quantum states as complex-phase relations between reference frames. Within this model, fundamental constants such as c, G, and h are not strictly universal but can exhibit apparent local variations arising from the observer’s position in the complex spacetime manifold. These variations preserve global covariance and CPT symmetry while reconciling quantum non-locality with relativistic kinematics. The framework predicts experimentally testable effects, including measurable phase shifts in interferometric experiments, possible frequency modulations in non-inertial systems, and small local deviations of physical constants detectable in condensed-matter and gravitational contexts. The supplementary work, “Quantum Uncertainty, Planck’s Constant, and Ontological Insights from Complex Spacetime Geometry and Local Metric Deformations”, develops the principle of Temporal Relativity as a foundational element of the theory. It formalizes the connection between quantum uncertainty, metric deformations, and complex temporal structures, within an alternative logical framework (AU). This extension provides both an ontological interpretation of the wavefunction and a basis for the emergence of quantum indeterminacy from geometric causes. Together, these works present a coherent attempt to unify the relativistic and quantum domains under a single complex-geometric view of spacetime, maintaining mathematical rigor while providing clear experimental pathways for empirical validation.

•Jan 1, 2025•0 citations
The major challenge of modern physics is to merge relativistic and quantum theories \ninto a unique conceptual frame able to combine the basic statements of the former with \nthe quantization, the non-locality and non-reality of the latter. A previous paper has \nshown that the statistical formulation of the space-time uncertainty allows to describe \nthe quantum systems in agreement with these requirements of the quantum world. The \npresent paper aims to extend the same theoretical model and approach also to the special \nand general relativity.
The paper has heuristic character. The conceptual frame, based on the assumption of quantum uncertainty only, has been formerly introduced in two papers [S. Tosto, Il Nuovo Cimento B, vol. 111, n.2, 1996 and S. Tosto, Il Nuovo Cimento D, vol. 18, n.12, 1996]. Instead of attempting to increase the accuracy of some existing computational model through a new kind of approximation, these papers acknowledge since the beginning the lack of deterministic information about the local properties of the constituent particles, considered random, unknown and unpredictable and thus ignored in principle. The leading idea is that the physical properties of quantum systems could be inferred merely considering the delocalization ranges of dynamical variables, rather than their local values. In effect, despite the agnostic character of the approach proposed, both papers show that the kind of physical information reachable reproduces exactly in all cases examined that obtained solving the pertinent wave equations. The concept of quantum uncertainty is further extended in the present paper to both space and time coordinates, considering thus a unique spacetime delocalization range and still discarding since the beginning the local values of the conjugate dynamical variables. The paper shows an unexpected wealth of information obtainable simply extending the concept of space uncertainty to that of spacetime uncertainty: the results are inherently consistent with that of the operator formalism of wave mechanics and with the basic postulates of special relativity, both inferred as corollaries. Moreover, even the gravity appears to be essentially a quantum phenomenon. The most relevant outcomes of special and general relativity are achieved as straightforward consequence of the space-time delocalization of particles using the simple quantum formalism first introduced in the early papers.
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.
The Theory of Temporal Relativity proposes a unified theoretical framework that extends Special and General Relativity into the complex domain, integrating aspects of Quantum Mechanics within a single geometrical structure. The theory introduces a generalized Hilbert-space geometry and interprets quantum states as observer-dependent, arising from complex temporal relations between reference frames. Theory of Temporal Relativity is a theoretical framework proposing a unified extension of Special and General Relativity into the complex domain, with the goal of incorporating aspects of Quantum Mechanics within a consistent geometrical model. The theory generalizes Hilbert-space geometry and relativistic invariance to complex coordinates, introducing observer-dependent descriptions of physical quantities and a reinterpretation of quantum states as complex-phase relations between reference frames. Within this model, fundamental constants such as c, G, and h are not strictly universal but can exhibit apparent local variations arising from the observer’s position in the complex spacetime manifold. These variations preserve global covariance and CPT symmetry while reconciling quantum non-locality with relativistic kinematics. The framework predicts experimentally testable effects, including measurable phase shifts in interferometric experiments, possible frequency modulations in non-inertial systems, and small local deviations of physical constants detectable in condensed-matter and gravitational contexts. The supplementary work, “Quantum Uncertainty, Planck’s Constant, and Ontological Insights from Complex Spacetime Geometry and Local Metric Deformations”, develops the principle of Temporal Relativity as a foundational element of the theory. It formalizes the connection between quantum uncertainty, metric deformations, and complex temporal structures, within an alternative logical framework (AU). This extension provides both an ontological interpretation of the wavefunction and a basis for the emergence of quantum indeterminacy from geometric causes. Together, these works present a coherent attempt to unify the relativistic and quantum domains under a single complex-geometric view of spacetime, maintaining mathematical rigor while providing clear experimental pathways for empirical validation.