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

Journal of Applied Mathematics and Physics

Spacetime as an Emergent Phenomenon: A Possible Way to Explain Entanglement and the Tunnel Effect

P. G. Castro, Marisa Della Gatta, J. R. Croca, R. N. Moreira

Published Jan 1, 2018• 8 citations
Publisher

Abstract

Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable in the context of spacetime usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that spacetime is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation between space and time that is imposed by subquantum waves.

DOI
10.4236/jamp.2018.610177

Related papers

Space-Time as an Emergent Phenomena a Possible Way to Explain Entanglement and the Tunnel Effect

P. G. Castro, Marisa Della Gatta, J. R. Croca +1 more

Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable, in the context of space-time usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that space-time is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation valid for subquantum waves.

•May 1, 2018•0 citations

Tunnelling Times in Quantum Mechanics

James Puleston

In this essay I survey recent developments in the theory of tunnelling times in quantum mechanics. The study of this concept is polarised depending on one’s interpretation of quantum mechanics, which require different approaches and yield starkly different results. I survey this topic through the lenses of the orthodox (Copenhagen) and de Broglie-Bohm (pilot wave) interpretations, presenting the requisite theory and definitions and expounding the literature of the original authors through proofs and figures. I do this in sections 2 and 3 respectively. Before embarking on tunnelling times as a topic, I survey the conceptual aspects of how time is treated in classical and quantum mechanics. This topic has many subtle aspects which have hindered progress in understanding tunnelling times in the past. In this essay I hope to demonstrate the success that has been achieved in recent years, but also that further theoretical and experimental work is required, if we are to arrive at a universally accepted definition of tunnelling times in quantum mechanics - if indeed such a definition exists.

•May 14, 2020•0 citations

De Broglie – Bohm Theorem in an underlying structure of Space and Spacetime

Salim Yasmineh

Abstract The concept of simultaneity is relative in special relativity whereas, it seems to have a definite meaning in quantum mechanics. On the other hand, theory and experiments in quantum mechanics have revealed the existence of non-local causal relations. We propose to use the invariant space-time interval introduced by special relativity as a benchmark for constructing a spacetime framework presenting a notion of an invariant time. We suggest that a physical system creates a non-local field within the spacetime framework and that the wavefunction of the physical system is an ontological entity that represents this non-local field. We propose to explain measurement and entanglement by using de Broglie Bohm theory in the context of the constructed spacetime framework.

•Feb 9, 2021•0 citations

Pilot wave quantum cosmology

Yuri Shtanov

The de Broglie-Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We further study the extension of this formulation to the case of gravity and demonstrate that the foliation of spacetime by spacelike hypersurfaces obtained during the solution of the quantum problem turns out to be distinguished in general. This means that quantum pilot wave dynamics is not invariant with respect to an arbitrary change of foliation, or, in other terms, that quantum nonlocality takes place. We also discuss the general structure of a realistic pilot wave theory that could describe the universe.

arXiv:gr-qc/9503005•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Aug 15, 1996•49 citations

Spacetime as an Emergent Causal Structure: A Quantum Mechanical Perspective

Changlong Wen

This paper explores the fundamental nature of spacetime from the perspective of emergent causal structures, rooted in quantum mechanical principles. We propose a theoretical framework that treats spacetime not as a pre-existing background, but as a collective phenomenon arising from the interaction of quantum causal relations. By analyzing the constraints of causality and quantum coherence, we derive key implications for the emergence of classical spacetime geometry and the limits of local realism. Our results suggest a new way to bridge quantum mechanics and gravitational theory, providing a foundation for future studies in quantum gravity and spacetime physics.

•Mar 11, 2026•0 citations

Nonlinearity and Energy Conservation: A Possible Way to Harness Energy from the Subquantum Medium

J. R. Croca, P. G. Castro, R. Moreira +1 more

In some situations nonlinearity seems to pervade in nature.Indeed, in adequate conditions, a minor action may give origin to a very large reaction, only apparently providing a gain in output power from a lesser inputted value.Extending de Broglie seminal ideas to a more general pilot-wave theory, we describe the relation between nonlinearity and energy conservation, dismissing any apparent contradiction between the two.We also present what seems to be a possible way to harness energy from the pervading subquantum medium.

Theoretical Physics•May 16, 2018•0 citations
Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable in the context of spacetime usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that spacetime is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation between space and time that is imposed by subquantum waves.
Entanglement and the tunnel effect phenomena have been repeatedly observed and are generically accepted under orthodox quantum mechanics formalism. However, they remain rather inexplicable, in the context of space-time usual conceptualization. In the present work, we suggest an alternative quantum mechanics formalism, refining the pilot-wave theory initially proposed by de Broglie. We suggest that space-time is an emergent phenomenon from a prior subquantum medium and that entanglement and the tunnel effect can be explained in terms of a nonlinear relation valid for subquantum waves.
In this essay I survey recent developments in the theory of tunnelling times in quantum mechanics. The study of this concept is polarised depending on one’s interpretation of quantum mechanics, which require different approaches and yield starkly different results. I survey this topic through the lenses of the orthodox (Copenhagen) and de Broglie-Bohm (pilot wave) interpretations, presenting the requisite theory and definitions and expounding the literature of the original authors through proofs and figures. I do this in sections 2 and 3 respectively. Before embarking on tunnelling times as a topic, I survey the conceptual aspects of how time is treated in classical and quantum mechanics. This topic has many subtle aspects which have hindered progress in understanding tunnelling times in the past. In this essay I hope to demonstrate the success that has been achieved in recent years, but also that further theoretical and experimental work is required, if we are to arrive at a universally accepted definition of tunnelling times in quantum mechanics - if indeed such a definition exists.
Abstract The concept of simultaneity is relative in special relativity whereas, it seems to have a definite meaning in quantum mechanics. On the other hand, theory and experiments in quantum mechanics have revealed the existence of non-local causal relations. We propose to use the invariant space-time interval introduced by special relativity as a benchmark for constructing a spacetime framework presenting a notion of an invariant time. We suggest that a physical system creates a non-local field within the spacetime framework and that the wavefunction of the physical system is an ontological entity that represents this non-local field. We propose to explain measurement and entanglement by using de Broglie Bohm theory in the context of the constructed spacetime framework.
The de Broglie-Bohm (pilot wave) formulation of quantum theory appears to be free from the conceptual problems specific to quantum mechanics (problem of measurement) and to quantum cosmology (problem of time). We further study the extension of this formulation to the case of gravity and demonstrate that the foliation of spacetime by spacelike hypersurfaces obtained during the solution of the quantum problem turns out to be distinguished in general. This means that quantum pilot wave dynamics is not invariant with respect to an arbitrary change of foliation, or, in other terms, that quantum nonlocality takes place. We also discuss the general structure of a realistic pilot wave theory that could describe the universe.
This paper explores the fundamental nature of spacetime from the perspective of emergent causal structures, rooted in quantum mechanical principles. We propose a theoretical framework that treats spacetime not as a pre-existing background, but as a collective phenomenon arising from the interaction of quantum causal relations. By analyzing the constraints of causality and quantum coherence, we derive key implications for the emergence of classical spacetime geometry and the limits of local realism. Our results suggest a new way to bridge quantum mechanics and gravitational theory, providing a foundation for future studies in quantum gravity and spacetime physics.
In some situations nonlinearity seems to pervade in nature.Indeed, in adequate conditions, a minor action may give origin to a very large reaction, only apparently providing a gain in output power from a lesser inputted value.Extending de Broglie seminal ideas to a more general pilot-wave theory, we describe the relation between nonlinearity and energy conservation, dismissing any apparent contradiction between the two.We also present what seems to be a possible way to harness energy from the pervading subquantum medium.