How do we Observe Relational Observables?
- URL: http://arxiv.org/abs/2410.05508v1
- Date: Mon, 7 Oct 2024 21:27:19 GMT
- Title: How do we Observe Relational Observables?
- Authors: Emily Adlam,
- Abstract summary: How do relational observables actually make contact with experience?
I argue that this question can only be answered by providing a schematization of the observer.
I consider what this means for the prospects of using quantum reference frames to address the problem of time.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In theories with a diffeomorphism symmetry, such as general relativity and canonical quantum gravity, it is often proposed that the empirical content is encoded in relational observables. But how do relational observables actually make contact with experience? I argue that this question can only be answered by providing a schematization of the observer which is appropriate for the context of a diffeomorphism-invariant theory. I suggest that this may require us to move away from a `passive awareness' conception of consciousness towards a more agential conception, because there is a clear sense in which an embodied agent must experience herself as localised at a time. Finally, I consider what this means for the prospects of using quantum reference frames to address the problem of time, arguing that the way in which quantum reference frames are standardly described does not give us adequate resources to model agency, so some other kind of internal reference frame may be required to fully explain how we observe relational observables in the quantum context.
Related papers
- (Quantum) reference frames, relational observables, gauge reduction and physical interpretation [0.0]
It is mandatory to know how to operationally define and translate a reference frame into mathematics.<n>New conceptual and technical questions arise such as: Should one reduce before or after quantisation and how are the reference fields quantised respectively in either route?<n>A central role is played by the concept of the relational reference frame transformation (RRFT) for which a general formula is derived and its properties are explored.
arXiv Detail & Related papers (2026-03-04T13:47:37Z) - Wigner's Frame [0.0]
This article suggests that thinking about the role of reference frames can provide new insight into Extended Wigner's Friend scenarios.<n>This involves appealing to symmetries to make a principled distinction between properties of a system which are meaningful only relative to an external reference system and properties which are meaningful without further relativization.
arXiv Detail & Related papers (2025-12-08T02:31:57Z) - Relative Information, Relative Facts [0.0]
We think about quantum mechanics as a way of thinking about the world described by quantum theory based on quantifiable notions of information.<n>This allows us to provide a definition of a relative fact, with no addition to orthodox quantum theory and no fundamentally special role for observers.
arXiv Detail & Related papers (2025-10-13T12:44:36Z) - Logic meets Wigner's Friend (and their Friends) [49.1574468325115]
We take a fresh look at Wigner's Friend thought-experiment and some of its more recent variants and extensions.
We discuss various solutions proposed in the literature, focusing on a few questions.
arXiv Detail & Related papers (2023-07-04T13:31:56Z) - Operational Quantum Reference Frame Transformations [0.0]
We provide a general, operationally motivated framework for quantum reference frames and their transformations.
The work is built around the notion of operational equivalence, in which quantum states that cannot be physically distinguished are identified.
We give an explicit realisation in the setting that the initial frame admits a highly localized state with respect to the frame observable.
arXiv Detail & Related papers (2023-03-24T13:58:21Z) - Quantum realism: axiomatization and quantification [77.34726150561087]
We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory.
We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
arXiv Detail & Related papers (2021-10-10T18:08:42Z) - Quantum reference frames: derivation of perspective-dependent
descriptions via a perspective-neutral structure [0.0]
We develop a symmetry-inspired approach to describe physics from the perspective of quantum reference frames.
We show that the operationally meaningful perspective dependent descriptions are given by Darboux coordinates on the constraint surface.
We conclude by constructing a quantum perspective neutral structure, via which we can derive and change perspective dependent descriptions.
arXiv Detail & Related papers (2021-09-04T18:09:07Z) - 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) - Noncausal Page-Wootters circuits [0.0]
Page-Wootters formalism associates to time a Hilbert space structure similar to spatial position.
By explicitly introducing a quantum clock, it allows to describe time-evolution of systems via correlations between this clock and said systems encoded in history states.
We describe how to extract process matrices from scenarios involving such agents with quantum clocks, and analyze their properties.
arXiv Detail & Related papers (2021-05-05T20:02:09Z) - Observers of quantum systems cannot agree to disagree [55.41644538483948]
We ask whether agreement between observers can serve as a physical principle that must hold for any theory of the world.
We construct examples of (postquantum) no-signaling boxes where observers can agree to disagree.
arXiv Detail & Related papers (2021-02-17T19:00:04Z) - Self-adjointness in Quantum Mechanics: a pedagogical path [77.34726150561087]
This paper aims to make quantum observables emerge as necessarily self-adjoint, and not merely hermitian operators.
Next to the central core of our line of reasoning, the necessity of a non-trivial declaration of a domain to associate with the formal action of an observable.
arXiv Detail & Related papers (2020-12-28T21:19:33Z) - 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) - Relational observables, reference frames, and conditional probabilities [0.0]
We show how conditional expectation values of worldline tensor fields are related to quantum averages of suitably defined relational observables.
We analyze a recollapsing cosmological model, for which we construct unitarily evolving quantum relational observables.
arXiv Detail & Related papers (2020-06-09T21:54:18Z)
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.