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In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on Lobachevsky…

High Energy Physics - Theory · Physics 2016-09-12 Max Riegler

It is clarified that Heisenberg quantization was proposed in empty space. Based on established experiments, the generalized Heisenberg quantization in physical space is obtained. Physical space quantization includes important new physics:…

Quantum Physics · Physics 2019-09-25 Jian-Zu Zhang

The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive idea which has its roots in the nonextensive nature of…

Quantum Physics · Physics 2009-11-13 M. M. Wolf , F. Verstraete , M. B. Hastings , J. I. Cirac

The formalism of Holographic Space-time (HST) is a translation of the principles of Lorentzian geometry into the language of quantum information. Intervals along time-like trajectories, and their associated causal diamonds, completely…

High Energy Physics - Theory · Physics 2020-03-11 T. Banks

Heisenberg showed in the early days of quantum theory that the uncertainty principle follows as a direct consequence of the quantization of electromagnetic radiation in the form of photons. As we show here the gravitational interaction of…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Ronald J. Adler , David I. Santiago

In quantum theory on curved backgrounds, Heisenberg's uncertainty principle is usually discussed in terms of ensemble variances and flat-space commutators. Here we take a different, preparation-based viewpoint tailored to sharp position…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Thomas Schürmann

Black holes monopolize nowadays the center stage of fundamental physics. Yet, they are poorly understood objects. Notwithstanding, from their generic properties, one can infer important clues to what a fundamental theory, a theory that…

General Relativity and Quantum Cosmology · Physics 2008-04-05 José P. S. Lemos

We argue that, in a theory of quantum gravity in a four dimensional asymptotically flat spacetime, all information about massless excitations can be obtained from an infinitesimal neighbourhood of the past boundary of future null infinity…

High Energy Physics - Theory · Physics 2021-02-24 Alok Laddha , Siddharth G. Prabhu , Suvrat Raju , Pushkal Shrivastava

Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of quantization of such systems. The accent is put in situations where traces of…

Quantum Physics · Physics 2022-07-22 Thierry Paul

We study the formulation of the uncertainty principle in quantum mechanics in terms of entropic inequalities, extending results recently derived by Bialynicki-Birula [1] and Zozor et al. [2]. Those inequalities can be considered as…

Probability · Mathematics 2009-04-14 Steeve Zozor , Mariela Portesi , Christophe Vignat

We show that there is a sector of quantum general relativity which may be expressed in a completely holographic formulation in terms of states and operators defined on a finite boundary. The space of boundary states is built out of the…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin

Heisenberg's matrix formulation of quantum mechanics can be generalized to relativistic systems by evolving in light-front time tau = t+z/c. The spectrum and wavefunctions of bound states, such as hadrons in quantum chromodynamics, can be…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many…

High Energy Physics - Theory · Physics 2019-12-11 ChunJun Cao , Aidan Chatwin-Davies , Ashmeet Singh

Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hua Bai , Mu-Lin Yan

The Heisenberg uncertainty principle is one of the most famous features of quantum mechanics. However, the non-determinism implied by the Heisenberg uncertainty principle --- together with other prominent aspects of quantum mechanics such…

Quantum Physics · Physics 2022-11-23 Adam Brandenburger , Pierfrancesco La Mura

We propose a covariant entropy bound in gravitational theories beyond general relativity (GR), using Wald-Jacobson-Myers entropy instead of Bekenstein-Hawking entropy. We first extend the proof of the bound known in 4-dimensional GR to…

High Energy Physics - Theory · Physics 2021-01-13 Taisuke Matsuda , Shinji Mukohyama

The holographic principle is studied in the context of a $n+1$ dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. The radiation is represented by a conformal field theory with a large central charge. Following…

High Energy Physics - Theory · Physics 2007-05-23 Erik Verlinde

The physical world is quantum. However, our description of the quantum physics still relies much on concepts in classical physics and in some cases with `quantized' interpretations. The most important case example is that of spacetime. We…

Quantum Physics · Physics 2017-09-13 Otto C. W. Kong

According to the holographic principle, the maximum amount of information stored in a region of space scales as the area of its two-dimensional surface, like a hologram. We show that the holographic principle can be understood heuristically…

General Relativity and Quantum Cosmology · Physics 2016-10-21 Y. Jack Ng

The cosmological constant problem is reanalyzed by imposing the limitation of the number of degrees of freedom (d.o.f.) due to entropy bounds directly in the calculation of the energy density of a field theory. It is shown that if a quantum…

High Energy Physics - Theory · Physics 2015-06-05 Paolo Castorina
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