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General Relativity is extended into the quantum domain. A thought experiment is explored to derive a specific topological build-up for Planckian space-time. The presented arguments are inspired by Feynman's path integral for superposition…

General Physics · Physics 2013-07-18 Marco Spaans

It is shown that nearly-flat 3+1D spacetime emerging from a dual quantum field theory in 2+1D displays quantum fluctuations from classical Euclidean geometry on macroscopic scales. A covariant holographic mapping is assumed, where plane…

General Relativity and Quantum Cosmology · Physics 2007-10-28 Craig J. Hogan

The properties which give quantum mechanics its unique character - unitarity, complementarity, non-commutativity, uncertainty, nonlocality - derive from the algebraic structure of Hermitian operators acting on the wavefunction in complex…

Quantum Physics · Physics 2022-09-14 Tim Palmer

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

General Physics · Physics 2014-05-13 Charles Francis

The possibility that spacetime is extended beyond the familiar 3+1-dimensions has intrigued physicists for a century. Indeed, the consequences of a dimensionally richer spacetime would be profound. Recently, new theories with higher…

High Energy Physics - Phenomenology · Physics 2008-11-26 JoAnne Hewett , Maria Spiropulu

Using a quantum field theoretic setting, we present evidence for dimensional reduction of any sub-volume of Minkowksi space. First, we show that correlation functions of a class of operators restricted to a sub-volume of D-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 Ram Brustein , Amos Yarom

At the minisuperspace level of homogeneous models, the bare probability for a classical universe has a huge peak at small universes for the Hartle-Hawking `no-boundary' wavefunction, in contrast to the suppression at small universes for the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Don N. Page

In classical physics the energy density of a field, such as the electromagnetic field, is always positive. However, in quantum field theory it has been shown that the energy density can be negative. There are restrictions, called the…

Quantum Physics · Physics 2010-12-10 Dan Solomon

The existence of irreducible field fluctuations in vacuum is an important prediction of quantum theory. These fluctuations have many observable consequences, like the Casimir effect which is now measured with good accuracy and agreement…

Quantum Physics · Physics 2015-06-26 Serge Reynaud , Astrid Lambrecht , Cyriaque Genet , Marc-Thierry Jaekel

It is shown using both conventional and algebraic approach to quantum field theory that it is impossible to perform quantization on Unruh modes in Minkowski spacetime. Such quantization implies setting boundary condition for the quantum…

High Energy Physics - Theory · Physics 2016-09-06 A. M. Fedotov , V. D. Mur , N. B. Narozhny , V. A. Belinskii , B. M. Karnakov

We consider some formulations of the entropy bounds at the semiclassical level. The entropy S(V) localized in a region V is divergent in quantum field theory (QFT). Instead of it we focus on the mutual information I(V,W)=S(V)+S(W)-S(V\cup…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Casini

The paper proposes a 4-dimensional generalization of the Hamilton equations of motion to the case of the Minkowski space-time. The approach can be applied to quantum as well as to classical, non-relativistic as well as relativistic…

Mathematical Physics · Physics 2007-05-23 K. Yu. Bliokh

Inspired by previous work in 2+1 dimensional quantum gravity, which found evidence for a discretization of time in the quantum theory, we reexamine the issue for the case of pure Lorentzian gravity with vanishing cosmological constant and…

General Relativity and Quantum Cosmology · Physics 2009-09-28 T. G. Budd , R. Loll

The probability distributions for the smeared energy densities of quantum fields, in the two and four-dimensional Minkowski vacuum are discussed. These distributions share the property that there is a lower bound at a finite negative value,…

General Relativity and Quantum Cosmology · Physics 2014-09-29 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

We further investigate postulates for realist versions of relativistic quantum theory and quantum field theory in Minkowski space and other background space-times. According to these postulates, quantum theory is supplemented by local…

Quantum Physics · Physics 2017-12-20 Adrian Kent

Quantum inequalities have been established for various quantum fields in both flat and curved spacetimes. In particular, for spin-3/2 fields, Yu and Wu have explicitly derived quantum inequalities for massive case. Employing the similar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bo Hu , Yi Ling , Hongbao Zhang

We present a global metric describing closed timelike curves embedded in Minkowski spacetime. Physically, the metric represents an Alcubierre warp drive on a rotating platform. The physical realizability of such a metric is uncertain due to…

General Relativity and Quantum Cosmology · Physics 2020-12-04 T. C. Ralph , Chris Chang

We give a short proof of the existence of a small piece of null infinity for $(3+1)$-dimensional spacetimes evolving from asymptotically flat initial data as solutions of the Einstein vacuum equations. We introduce a modification of the…

Analysis of PDEs · Mathematics 2023-02-28 Peter Hintz

The split property expresses a strong form of independence of spacelike separated regions in algebraic quantum field theory. In Minkowski spacetime, it can be proved under hypotheses of nuclearity. An expository account is given of…

Mathematical Physics · Physics 2016-09-15 Christopher J. Fewster

Some aspects of quantum field theory in a general (i.e. non inertial) frame of Minkowski spacetime are studied. Conditions for the presence of horizons as well as for the modification of the definition of positive energy solutions are…

High Energy Physics - Theory · Physics 2025-04-25 Enrique Álvarez , Jesús Anero
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