The Black Hole Firewall Transformation and Realism in Quantum Mechanics
- URL: http://arxiv.org/abs/2106.11152v2
- Date: Thu, 29 Sep 2022 21:38:01 GMT
- Title: The Black Hole Firewall Transformation and Realism in Quantum Mechanics
- Authors: Gerard t Hooft
- Abstract summary: A procedure to derive a unitary evolution law for a quantised black hole has been proposed by the author.
In this paper we focus on the need to include time reversal in applying this identification.
We find that this squares well with the deterministic interpretation of quantum mechanics.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A procedure to derive a unitary evolution law for a quantised black hole, has
been proposed by the author. The proposal requires that one starts off with the
entire Penrose diagram for the eternal black hole as the background metric,
after which a procedure was proposed to identify the two asymptotic domains of
this metric, such that they both refer to the same outside world. In this paper
we focus on the need to include time reversal in applying this identification.
This forces us to postulate the existence of an 'anti-vacuum' state in our
world, which is the state where energy density reaches a maximal value. We find
that this squares well with the deterministic interpretation of quantum
mechanics, according to which quantum Hilbert space is to be regarded as the
'vector representation' of a real world.
One has to understand how to deal with gravity in such considerations. The
non-perturbative component of the gravitational force seems to involve
cut-and-paste procedures as dynamical features of space and time, of which the
re-arrangement of space-time into two connected domains in the Penrose diagram
is a primary example. Thus we attempt to obtain new insights in the nature of
particle interactions at the Planck scale, as well as quantum mechanics itself.
In this newer version of the paper an important correction is made concerning
the antipodal transformation: applying more insight in the situation, as
explained in newer publications by the author, we now regard region II of the
Penrose diagram as an exact quantum copy of region I , still with time being
reversed, but interchanging a region of spacetime with its antipodes is now
seen to be incorrect.
Related papers
- Non-Locality induces Isometry and Factorisation in Holography [0.7373617024876725]
We consider time-shifted microstates of the eternal black hole.
We show that the resulting Hilbert space for an eternal black hole in Anti-de Sitter space is finite-dimensional with a discrete energy spectrum.
arXiv Detail & Related papers (2024-11-14T17:36:01Z) - Entanglement entropy in conformal quantum mechanics [68.8204255655161]
We consider sets of states in conformal quantum mechanics associated to generators of time evolution whose orbits cover different regions of the time domain.
States labelled by a continuous global time variable define the two-point correlation functions of the theory seen as a one-dimensional conformal field theory.
arXiv Detail & Related papers (2023-06-21T14:21:23Z) - Quantum operations with the time axis in a superposed direction [0.0]
We introduce an expanded concept of matrix transposition, that takes into account general bipartite unitary transformations of a quantum operation's future and past Hilbert spaces.
This framework may have applications in approaches that treat time and space equally like quantum gravity.
arXiv Detail & Related papers (2023-06-05T10:20:59Z) - Breakdown of quantum mechanics in gravitational holography [0.0]
Black hole complementarity is inevitably linked to holography and states that information associated with the collapsed pure state is reflected in the near horizon region.
We argue that the information preserving quantum atmosphere of the black hole emerges from hidden variables on its horizon.
In AdS/CFT, this would mean that the completion of the semiclassical subalgebra to the complete boundary algebra has to be traced back to the emergent near horizon space structure.
arXiv Detail & Related papers (2022-08-01T17:52:29Z) - Completing the quantum ontology with the electromagnetic zero-point
field [0.0]
This text begins with a series of critical considerations on the initial interpretation of quantum phenomena observed in atomic systems.
Arguments are given in favour of the random zero-point radiation field (ZPF) as the element needed to complete the quantum process.
The permanent presence of the field drastically affects the dynamics of the particle, which eventually falls under the control of the field.
arXiv Detail & Related papers (2022-07-13T23:11:48Z) - Quantum conformal symmetries for spacetimes in superposition [0.0]
We build an explicit quantum operator that can map states describing a quantum field on a superposition of spacetimes to states representing a quantum field with a superposition of masses on a Minkowski background.
It can be used to import the phenomenon of particle production in curved spacetime to its conformally equivalent counterpart, thus revealing new features in modified Minkowski spacetime.
arXiv Detail & Related papers (2022-06-30T18:00:02Z) - A dialog on the fate of information in black hole evaporation [77.34726150561087]
We present two alternative perspectives for the resolution of Hawking's information puzzle in black hole evaporation.
One of them is the central role played by the existence of the interior singularity that we expect to be replaced by a more fundamental quantum gravity formulation.
Both views rely on the notion that the standard effective quantum field theoretic perspective would require some deep modifications.
arXiv Detail & Related papers (2022-05-17T16:21:22Z) - Quantum indistinguishability through exchangeable desirable gambles [69.62715388742298]
Two particles are identical if all their intrinsic properties, such as spin and charge, are the same.
Quantum mechanics is seen as a normative and algorithmic theory guiding an agent to assess her subjective beliefs represented as (coherent) sets of gambles.
We show how sets of exchangeable observables (gambles) may be updated after a measurement and discuss the issue of defining entanglement for indistinguishable particle systems.
arXiv Detail & Related papers (2021-05-10T13:11:59Z) - The Time-Evolution of States in Quantum Mechanics [77.34726150561087]
It is argued that the Schr"odinger equation does not yield a correct description of the quantum-mechanical time evolution of states of isolated (open) systems featuring events.
A precise general law for the time evolution of states replacing the Schr"odinger equation is formulated within the so-called ETH-Approach to Quantum Mechanics.
arXiv Detail & Related papers (2021-01-04T16:09:10Z) - 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) - 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.