Quantum Gravity Without Metric Quantization: From Hidden Variables to Hidden Spacetime Curvatures

• URL: http://arxiv.org/abs/2502.08421v1
• Date: Wed, 12 Feb 2025 14:03:54 GMT
• Title: Quantum Gravity Without Metric Quantization: From Hidden Variables to Hidden Spacetime Curvatures
• Authors: Mohamed Hatifi,
• Abstract summary: Bohmian mechanics offers a deterministic alternative to conventional quantum theory through well-defined particle trajectories. We develop a covariant extension of Bohmian mechanics in curved spacetime that removes the need for metric quantization. This new approach has far-reaching implications for the role of determinism and potential observational signatures of quantum non-equilibrium in cosmology.
• Score: 0.0
• License:
• Abstract: Bohmian mechanics offers a deterministic alternative to conventional quantum theory through well-defined particle trajectories. While successful in nonrelativistic contexts, its extension to curved spacetime-and hence quantum gravity-remains unresolved. Here, we develop a covariant extension of Bohmian mechanics in curved spacetime that removes the need for metric quantization. From a Lagrangian formulation, we derive a generalized guidance equation in which Bohmian trajectories generate hidden curvature, replacing metric superposition with a statistical ensemble constrained by Heisenberg uncertainty, offering a novel perspective on quantum gravity. Consequently, in our approach, measuring the gravitational potential at a point unveils a pre-existing trajectory and its associated curvature-a departure from the observer-centric paradigm of standard quantum mechanics-providing an alternative in which gravitational effects emerge from deterministic quantum trajectories rather than wavefunction collapse. Numerical simulations in Robertson-Walker and cigar soliton spacetimes reveal that while quantum interference is curvature-sensitive, Zitterbewegung remains invariant, distinguishing fundamental quantum effects. Moreover, deviations from the Born rule in inhomogeneous spacetimes are observed and suggest gravity-induced quantum non-equilibrium. This new approach has far-reaching implications for the role of determinism and potential observational signatures of quantum non-equilibrium in cosmology.

Related papers

• General relativistic particle trajectories via quantum mechanical weak values and the Schwarzschild-Alcubierre spacetime [0.0]
  We show that the average trajectories of relativistic quantum particles in Schwarzschild spacetime are equivalent to the predicted flow lines of probability current in curved spacetime quantum theory. We demonstrate that these trajectories correspond exactly to classical null geodesics in a hybrid Schwarzschild-Alcubierre spacetime.
  arXiv  Detail & Related papers  (2025-01-16T21:07:27Z)
• Entropy production due to spacetime fluctuations [0.0]
  We consider a non-relativistic quantum system interacting with gravitational waves. We employ the consistent histories approach to quantum mechanics to define a fluctuation relation for this system. As a result, thermodynamic entropy must be produced in the system due to its unavoidable interaction with the quantum fluctuations of spacetime.
  arXiv  Detail & Related papers  (2024-07-30T20:52:32Z)
• Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
  We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition. By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries. We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
  arXiv  Detail & Related papers  (2024-07-03T16:29:12Z)
• To be or not to be, but where? [0.0]
  Traditional approaches associate quantum systems with classical ones localized in spacetime. canonical linearized quantum gravity disrupts this framework by preventing the formation of gauge-in-variant local algebras. This presents a major obstacle for modeling early universe cosmology, gravity-entanglement experiments, and poses a significant roadblock toward a comprehensive theory of quantum gravity.
  arXiv  Detail & Related papers  (2024-05-31T17:22:39Z)
• Table-top nanodiamond interferometer enabling quantum gravity tests [34.82692226532414]
  We present a feasibility study for a table-top nanodiamond-based interferometer. By relying on quantum superpositions of steady massive objects our interferometer may allow exploiting just small-range electromagnetic fields.
  arXiv  Detail & Related papers  (2024-05-31T17:20:59Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Upper limit on the acceleration of a quantum evolution in projective Hilbert space [0.0]
  We derive an upper bound for the rate of change of the speed of transportation in an arbitrary finite-dimensional projective Hilbert space. We show that the acceleration squared of a quantum evolution in projective space is upper bounded by the variance of the temporal rate of change of the Hamiltonian operator.
  arXiv  Detail & Related papers  (2023-11-30T11:22:59Z)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Probabilistic deconstruction of a theory of gravity, Part II: curved space [0.0]
  We show that volume measure of spacetime is a probability measure constrained by quantum dynamics. We conjecture that general relativity arises in the semi-classical limit of the evolution of probability with respect to quantum processes.
  arXiv  Detail & Related papers  (2022-08-25T16:47:41Z)
• 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)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

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.