Which part of the stress-energy tensor gravitates?

Yargic, Yigit; Sberna, Laura; Kempf, Achim

doi:10.1103/physrevd.101.043513

Cited by 3 publications

(3 citation statements)

References 17 publications

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“…At the same time, it has been questioned whether quantum ground state energy indeed acts as a gravitational source (e.g. [24,50]). • In the entire paper we have focussed on the late-time Universe (a 0.1).…”

Section: Summary Of Assumptions and Discussionmentioning

confidence: 99%

Toolkit for scalar fields in universes with finite-dimensional Hilbert space

Friedrich

Singh²,

Doré³

2022

Class. Quantum Grav.

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The holographic principle suggests that the Hilbert space of quantum gravity is locally finite-dimensional. Motivated by this point-of-view, and its application to the observable universe, we introduce a set of numerical and conceptual tools to describe scalar fields with finite-dimensional Hilbert spaces, and to study their behaviour in expanding cosmological backgrounds. These tools include accurate approximations to compute the vacuum energy of a field mode $\bi{k}$ as a function of the dimension $d_{\bi{k}}$ of the mode Hilbert space, as well as a parametric model for how that dimension varies with $|\bi{k}|$. We show that the maximum entropy of our construction momentarily scales like the boundary area of the observable Universe for some values of the parameters of that model. And we find that the maximum entropy generally follows a sub-volume scaling as long as $d_{\bi{k}}$ decreases with $|\bi{k}|$. We also demonstrate that the vacuum energy density of the finite-dimensional field is dynamical, and decays between two constant epochs in our fiducial construction. These results rely on a number of non-trivial modelling choices, but our general framework may serve as a starting point for future investigations of the impact of finite-dimensionality of Hilbert space on cosmological physics.

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Section: Summary Of Assumptions and Discussionmentioning

confidence: 99%

Toolkit for scalar fields in universes with finite-dimensional Hilbert space

Friedrich

Singh²,

Doré³

2022

Class. Quantum Grav.

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“…Energy required to define the structure of a system is not available to cause distinct change within it. This property may be relevant to the question of whether vacuum energy gravitates in general relativity [38][39][40].…”

Section: Finite Distinctness Is Classicalmentioning

confidence: 99%

“…It also shows a system's ground state energy cannot cause distinct state change within the system (cf. [38][39][40]).…”

Section: Introductionmentioning

confidence: 99%

Counting distinct states in physical dynamics

Margolus¹

2021

Preprint

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Maximum counts of distinct states define important physical quantities, the most famous being entropy. Here we show that energy, momentum and other basic quantities of mechanics are also maximum counts. This generalizes a property familiar in communication with classical waves: frequency-width equals maximum number of distinct values that can be sent, per unit time. Basic mechanical quantities are frequency-widths of wavefunction evolution, and similarly bound number of distinct states. Evolutions that achieve maximum distinctness are effectively discrete. These properties refine our understanding of uncertainty, measurement, classical mechanics, and relativity.

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