Geometry and proper time of a relativistic quantum clock

• URL: http://arxiv.org/abs/2410.08156v1
• Date: Thu, 10 Oct 2024 17:39:29 GMT
• Title: Geometry and proper time of a relativistic quantum clock
• Authors: Joseph Balsells, Martin Bojowald,
• Abstract summary: A new framework is demonstrated for perturbing the classical path-length functional to include quantum degrees of freedom. In this framework, a quantum clock travels on geodesics of a family of spacetimes deformed by parameters specifying the clock's quantum state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Classical clocks measure proper time along their worldline, and Riemannian geometry provides tools for predicting the time shown by clocks in both flat and curved spacetimes. Common approaches to time in quantum systems, based for instance on wave functions or density matrices, tend to obscure this geometric property at the quantum level. Here, a new framework is demonstrated for perturbing the classical path-length functional to include quantum degrees of freedom within a modified Riemannian geometry. In this framework, a quantum clock travels on geodesics of a family of spacetimes deformed by parameters specifying the clock's quantum state. Detailed derivations provide potentially testable corrections to gravitational time-dilation in Schwarzschild spacetime that scale with the ratio of the clock's Compton wavelength to its wave packet's spatial extent.

Related papers

• Quantum clock in the projection evolution formalism [0.0]
  We discuss the possibility of constructing a quantum clock, which advances in time during its quantum evolution. We propose a working two-state model as the simplest example of such a clock.
  arXiv  Detail & Related papers  (2023-11-24T09:56:34Z)
• Looking for Carroll particles in two time spacetime [55.2480439325792]
  Carroll particles with a non-vanishing value of energy are described in the framework of two time physics. We construct the quantum theory of such a particle using an unexpected correspondence between our parametrization and that obtained by Bars for the hydrogen atom in 1999.
  arXiv  Detail & Related papers  (2023-10-29T15:51:41Z)
• On the feasibility of detecting quantum delocalization effects on relativistic time dilation in optical clocks [0.0]
  We derive the predicted time dilation of delocalized atomic clocks in an optical lattice setup in the presence of a gravitational field. We investigate exotic quantum states of motion whose relativistic time dilation is outside of the realm of classical general relativity. We show that the magnitude of our predicted quantum relativistic time dilation effect remains just out of detectable reach for the current generation of $87mathrmSr$ optical lattice clocks.
  arXiv  Detail & Related papers  (2023-07-18T03:10:28Z)
• Emergent geometric phase in time-dependent noncommutative quantum system [0.0]
  We have given a systematic way to formulate non-relativistic quantum mechanics on 1+1 dimensional NC space-time. Although the effect of noncommutativity of space-time should presumably become significant at a very high energy scale, it is intriguing to speculate that there should be some relics of the effects of quantum space-time even in a low-energy regime.
  arXiv  Detail & Related papers  (2023-06-14T12:29:08Z)
• Universality-of-clock-rates test using atom interferometry with $T^{3}$ scaling [63.08516384181491]
  Atomic clocks generate delocalized quantum clocks. Tests of universality of clock rates (one facet of LPI) to atom interferometry generating delocalized quantum clocks proposed. Results extend our notion of time, detached from classical and localized philosophies.
  arXiv  Detail & Related papers  (2022-04-05T12:26:56Z)
• Qubit clock in quantum cosmology [0.0]
  We show how entanglement between the qubit clock and the geometry derives emergence of a time parameter which defines evolution of the timeless quantum state of the universe. We show the universe wave function conditioned by a qubit clock obeys the standard Schr"odinger equation and the Fisher information for the clock state, which quantifies entanglement between the universe and the clock, contributes as a negative energy density.
  arXiv  Detail & Related papers  (2022-01-08T05:51:52Z)
• Wave Functional of the Universe and Time [62.997667081978825]
  A version of the quantum theory of gravity based on the concept of the wave functional of the universe is proposed. The history of the evolution of the universe is described in terms of coordinate time together with arbitrary lapse and shift functions.
  arXiv  Detail & Related papers  (2021-10-18T09:41:59Z)
• Resolving the gravitational redshift within a millimeter atomic sample [94.94540201762686]
  Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates. We measure a linear frequency gradient consistent with the gravitational redshift within a single millimeter scale sample of ultracold strontium.
  arXiv  Detail & Related papers  (2021-09-24T23:58:35Z)
• On the Problem of Time(s) in Quantum Mechanics and Quantum Gravity: recent integrating developments and outlook [0.0]
  How to restore time is the Problem of Time(s) It introduces an intrinsic time property tau associated with the mass of the system. It invalidates Pauli's objection to the existence of a time operator.
  arXiv  Detail & Related papers  (2021-04-20T17:51:05Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

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.