Generalization of Bohmian Mechanics and Quantum Gravity Effective Action

• URL: http://arxiv.org/abs/2505.03305v1
• Date: Tue, 06 May 2025 08:38:03 GMT
• Title: Generalization of Bohmian Mechanics and Quantum Gravity Effective Action
• Authors: Aleksandar Mikovic,
• Abstract summary: We generalize the de Broglie-Bohm (dBB) formulation of quantum mechanics to the case of quantum gravity (QG)<n>This is done by replacing the dBB equations of motion with the effective action equations of motion, which is beneficial even in the non-gravitational case.<n>Another advantage of the effective action formalism is that one can obtain the field configurations in the case of a quantum field theory.
• Score: 55.2480439325792
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We generalize the de Broglie-Bohm (dBB) formulation of quantum mechanics to the case of quantum gravity (QG) by using the effective action for a QG theory. This is done by replacing the dBB equations of motion with the effective action equations of motion, which is beneficial even in the non-gravitational case, since in this way one avoids the violations of the Heisenberg uncertainity relations and the absence of the classical trajectories for stationary bound states. Another advantage of the effective action formalism is that one can obtain the field configurations in the case of a quantum field theory (QFT). The proposed QG generalization is natural for Bohmiam mechanics because a dBB wavefunction is really a wavefunction of the Universe and in order to define the effective action for an arbitrary initial state one needs a QG path integral. The QG effective action can be constructed by using the piecewise flat quantum gravity (PFQG) theory and the PFQG effective action can be approximated by the QFT effective action for General Relativity coupled to matter, with a cutoff determined by the average edge length of the spacetime triangulation. One can then calculate the corresponding field configurations and from these field configurations one can obtain the trajectories for the corresponding elementary particles.

Related papers

• Quantum Sensing from Gravity as Universal Dephasing Channel for Qubits [41.96816488439435]
  WeExploit the generic phenomena of the gravitational redshift and Aharonov-Bohm phase.<n>We show that entangled quantum states dephase with a universal rate.<n>We propose qubit-based platforms as quantum sensors for precision gravitometers and mechanical strain gauges.
  arXiv  Detail & Related papers  (2024-06-05T13:36:06Z)
• Quantum Principle of Least Action in Dynamic Theories With Higher Derivatives [44.99833362998488]
  This form is the initial point for the construction of quantum theory. The correspondence between the new form of quantum theory and "ordinary" quantum mechanics has been established in the local limit.
  arXiv  Detail & Related papers  (2024-04-15T09:29:58Z)
• On Some Quantum Correction to the Coulomb Potential in Generalized Uncertainty Principle Approach [0.0]
  We consider a modified Schr"odinger equation resulting from a generalized uncertainty principle. As the resulting equation cannot be solved by common exact approaches, we propose a Bethe ansatz approach.
  arXiv  Detail & Related papers  (2024-01-07T12:07:35Z)
• Hybrid Geometrodynamics: A Hamiltonian description of classical gravity coupled to quantum matter [0.0]
  We generalize the Hamiltonian picture of General Relativity coupled to classical matter, known as geometrodynamics, to the case where gravity is described by a Quantum Field Theory in Curved Spacetime. In our approach there is no non-dynamic background structure, apart from the manifold of events, and the gravitational and quantum degrees of freedom have their dynamics inextricably coupled. An important feature of this work is the use of Gaussian measures over the space of matter fields and of Hida distributions to define a common superspace to all possible Hilbert spaces with different measures, to properly characterize the Schrodinger wave functional picture of QFT in
  arXiv  Detail & Related papers  (2023-07-03T10:46:40Z)
• A decoherence-based approach to the classical limit in Bohm's theory [0.0]
  The de Broglie-Bohm theory reduces to Newtonian mechanics in the macroscopic classical limit. The quantum-to-classical transition is based on three steps.
  arXiv  Detail & Related papers  (2023-04-07T00:30:30Z)
• QFT in Curved Spacetime from Quantum Gravity: proper WKB decomposition of the gravitational component [0.0]
  We construct the proper low energy quantum field theory (QFT) limit of a full quantum gravity theory in the Born-Oppenheimer approach. The main accomplishment of the present work is to clarify that QFT in curved spacetime can be recovered in the low energy limit of quantum gravity only after averaging over the graviton degrees of freedom.
  arXiv  Detail & Related papers  (2023-02-21T17:24:24Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Path integral in position-deformed Heisenberg algebra with strong quantum gravitational measurement [0.0]
  We show that quantum gravity bends the paths of particles, allowing them to travel quickly from one point to another. It is numerically observed by the decrease in values of classical actions as one increases the quantum gravitational effects.
  arXiv  Detail & Related papers  (2022-04-29T14:21:30Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Relativistic limits on quantum operations [0.0]
  We review a recent proposal by Fewster and Verch for a generally covariant measurement scheme in AQFT. We argue that the framework as set up in its original proposal can be greatly simplified without losing generality or physical motivation.
  arXiv  Detail & Related papers  (2021-08-12T18:04:20Z)
• On exploring the potential of quantum auto-encoder for learning quantum systems [60.909817434753315]
  We devise three effective QAE-based learning protocols to address three classically computational hard learning problems. Our work sheds new light on developing advanced quantum learning algorithms to accomplish hard quantum physics and quantum information processing tasks.
  arXiv  Detail & Related papers  (2021-06-29T14:01:40Z)
• Einstein's Equivalence principle for superpositions of gravitational fields and quantum reference frames [0.0]
  The Einstein Equivalence Principle (EEP) states that all laws of physics take their special-relativistic form in any local inertial (classical) reference frame. Here, we propose that the EEP is valid for a broader class of reference frames, namely Quantum Reference Frames (QRFs) associated to quantum systems. This means that the EEP is valid in a much wider set of physical situations than what it is currently applied to, including those in which the gravitational field is in a quantum superposition state.
  arXiv  Detail & Related papers  (2020-12-26T14:56:25Z)
• Quantum-optimal-control-inspired ansatz for variational quantum algorithms [105.54048699217668]
  A central component of variational quantum algorithms (VQA) is the state-preparation circuit, also known as ansatz or variational form. Here, we show that this approach is not always advantageous by introducing ans"atze that incorporate symmetry-breaking unitaries. This work constitutes a first step towards the development of a more general class of symmetry-breaking ans"atze with applications to physics and chemistry problems.
  arXiv  Detail & Related papers  (2020-08-03T18:00:05Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.