(Re)Construction of Quantum Space-Time: Transcribing Hilbert Into Configuration Space
- URL: http://arxiv.org/abs/2308.09715v2
- Date: Thu, 4 Apr 2024 10:30:49 GMT
- Title: (Re)Construction of Quantum Space-Time: Transcribing Hilbert Into Configuration Space
- Authors: Karl Svozil,
- Abstract summary: Space-time in quantum mechanics is about bridging Hilbert and configuration space.
New perspective is obtained by replacing the Newtonian space-time theater with the image of a presumably high-dimensional Hilbert space.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Space-time in quantum mechanics is about bridging Hilbert and configuration space. Thereby, an entirely new perspective is obtained by replacing the Newtonian space-time theater with the image of a presumably high-dimensional Hilbert space, through which space-time becomes an epiphenomenon construed by internal observers.
Related papers
- Overlapping qubits from non-isometric maps and de Sitter tensor networks [41.94295877935867]
We show that processes in local effective theories can be spoofed with a quantum system with fewer degrees of freedom.
We highlight how approximate overlapping qubits are conceptually connected to Hilbert space dimension verification, degree-of-freedom counting in black holes and holography.
arXiv Detail & Related papers (2023-04-05T18:08:30Z) - Continuous percolation in a Hilbert space for a large system of qubits [58.720142291102135]
The percolation transition is defined through the appearance of the infinite cluster.
We show that the exponentially increasing dimensionality of the Hilbert space makes its covering by finite-size hyperspheres inefficient.
Our approach to the percolation transition in compact metric spaces may prove useful for its rigorous treatment in other contexts.
arXiv Detail & Related papers (2022-10-15T13:53:21Z) - De Sitter Spacetime from Holographic Flat Spacetime with Inexact Bulk
Quantum Mechanics [0.0]
We argue that the flat spacetime with inexact quantum mechanics in it is dual to the de Sitter spacetime with exact quantum mechanics in it.
The vanishing smallness of the observed positive cosmological constant suggests the extraordinary exactness of the bulk quantum mechanics in the flat spacetime.
arXiv Detail & Related papers (2022-04-14T06:10:02Z) - Quantum field simulator for dynamics in curved spacetime [0.0]
We show a quantum field simulator in a two-dimensional Bose-Einstein condensate with a trap and adjustable interaction strength.
We explicitly show the realisation of spacetimes with positive and negative spatial curvature by wave packet propagation.
We find quantitative agreement with new analytical predictions for different curvatures in time and space.
arXiv Detail & Related papers (2022-02-21T17:52:50Z) - Double Quantization [0.0]
In a quantum gravity theory, it is expected that the classical notion of spacetime disappears, leading to a quantum structure with new properties.
There is not a clear way to describe at the same time a noncommutativity of spacetime and the phase-space noncommutativity of quantum mechanics.
We apply our construction to the so-called $lambda$-Minkwoski and $mathbbR3_lambda$ noncommutative spaces.
arXiv Detail & Related papers (2021-12-21T18:04:20Z) - The Deep Space Quantum Link: Prospective Fundamental Physics Experiments
using Long-Baseline Quantum Optics [38.70192555674464]
The Deep Space Quantum Link mission concept enables a unique set of science experiments.
Mission configurations include establishing a quantum link between the Lunar Gateway moon-orbiting space station and nodes on or near the Earth.
arXiv Detail & Related papers (2021-11-30T17:35:05Z) - Topical White Paper: A Case for Quantum Memories in Space [36.121815158077446]
Quantum Memories (QM) could enable truly global quantum networking when deployed in space.
In this white paper we will make the case for the importance of deploying QMs to space, and discuss the major technical milestones and development stages that will need to be considered.
arXiv Detail & Related papers (2021-11-18T09:31:39Z) - Time and Evolution in Quantum and Classical Cosmology [68.8204255655161]
We show that it is neither necessary nor sufficient for the Poisson bracket between the time variable and the super-Hamiltonian to be equal to unity in all of the phase space.
We also discuss the question of switching between different internal times as well as the Montevideo interpretation of quantum theory.
arXiv Detail & Related papers (2021-07-02T09:17:55Z) - Schr\"odinger's cat for de Sitter spacetime [0.0]
We provide a new phenomenological description for the response of quantum probes on a spacetime manifold in quantum superpositions.
Applying this approach to static de Sitter space, we discover scenarios in which the effects produced by the quantum spacetime are operationally indistinguishable from those induced by superpositions of Rindler trajectories in Minkowski spacetime.
The distinguishability of such quantum spacetimes from superpositions of trajectories in flat space reduces to the equivalence or non-equivalence of the field correlations between the superposed amplitudes.
arXiv Detail & Related papers (2020-12-18T02:54:35Z) - Quantum Space, Quantum Time, and Relativistic Quantum Mechanics [0.0]
We treat space and time as quantum degrees of freedom on an equal footing in Hilbert space.
Motivated by considerations in quantum gravity, we focus on a paradigm dealing with linear, first-order translations Hamiltonian and momentum constraints.
arXiv Detail & Related papers (2020-04-20T09:04:15Z) - 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.