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It has been predicted that an accelerating electron performs a Brownian motion in the inertial frame. This Brownian motion in the inertial frame has its roots in the interaction with the thermal excitation given by the Unruh effect in the…

High Energy Physics - Theory · Physics 2015-10-13 Shingo Takeuchi

The Unruh effect refers to the thermal fluctuations a detector experiences while undergoing linear motion with uniform acceleration in a Minkowski vacuum. This thermality can be demonstrated by tracing the vacuum state of the field over the…

General Relativity and Quantum Cosmology · Physics 2013-12-10 Jason Doukas , Shih-Yuin Lin , B. L. Hu , Robert B. Mann

In this essay we conjecture that quantum fields such as the Higgs field is related to a restricted Boltzmann machine for deep neural networks. An accelerating Rindler observer in a flat spacetime sees the quantum fields having a thermal…

General Physics · Physics 2020-06-03 Jae-Weon Lee

It has been shown [1,2] that the electromagnetic quantum vacuum makes a contribution to the inertial mass, $m_i$, in the sense that at least part of the inertial force of opposition to acceleration, or inertia reaction force, springs from…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Alfonso Rueda , Bernard Haisch , Roh Tung

In this work we study the Unruh temperature as arising from tunneling through a barrier for an observer in flat Minkowski spacetime with arbitrary acceleration $a(t)$. For the defining case of constant acceleration $a(t) = a_0$, the Unruh…

General Relativity and Quantum Cosmology · Physics 2026-02-27 Paul M. Alsing

The generators of radial conformal symmetries in Minkowski space-time can be put in correspondence with generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the…

High Energy Physics - Theory · Physics 2024-05-07 Michele Arzano , Alessandra D'Alise , Domenico Frattulillo

It was shown that the particle distribution detected by a uniformly accelerated observer in the inertial vacuum (Unruh effect) deviates from the pure Planckian spectrum when considering the superposition of fields with different masses.…

High Energy Physics - Theory · Physics 2021-08-11 Giuseppe Gaetano Luciano , Massimo Blasone

We proof that if we have a thermal equilibrium state on Minkowski spacetime in two dimensions then we have a thermal equilibrium state on the cylindrical spacetime obtained from this Minkowski spacetime by making 2\pi-periodic the spatial…

Mathematical Physics · Physics 2012-09-21 L. Ortíz

The thermal time hypothesis proposed by Rovelli [1] regards the physical basis for the flow of time as thermodynamical and provides a definition of the temperature for some special cases. We verify this hypothesis in the case of de Sitter…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yu Tian

We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration $a$, and coupled to a scalar bose field initially in the…

Mathematical Physics · Physics 2008-11-26 S. De Bievre , M. Merkli

We report on the progress of a NASA-funded study being carried out at the Lockheed Martin Advanced Technology Center in Palo Alto and the California State University in Long Beach to investigate the proposed link between the zero-point…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bernhard Haisch , Alfonso Rueda

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum…

High Energy Physics - Theory · Physics 2025-09-29 Shono Shibuya , Sotaro Sugishita

We investigate when temporal ordering becomes operationally meaningful in relativistic quantum field theory using localized detector models. A time parameter alone does not ensure that different sequences of operations are physically…

Quantum Physics · Physics 2026-04-29 Marcello Rotondo

A massless scalar field in two spacetime dimensions splits into two independent sectors of left and right-moving modes on the light cone. At the quantum level, these two sectors carry a representation of the group of affine transformations…

High Energy Physics - Theory · Physics 2026-01-21 Michele Arzano , Alessandra D'Alise , Simone del Rosso , Domenico Frattulillo

In contrast to recent criticism we undertake to show that the notion of Unruh temperature describes a real thermal property of the vacuum if viewed from an accelerated reference frame. We embed our investigation in a more general analysis…

General Relativity and Quantum Cosmology · Physics 2013-11-08 Manfred Requardt

The master equation describing the completely positive time evolution of a uniformly accelerated two-level system in weak interaction with a scalar field in the Minkowski vacuum is derived and explicitly solved. It encodes the well known…

Quantum Physics · Physics 2007-05-23 F. Benatti , R. Floreanini

The Unruh effect states an accelerated particle detector registers a thermal response when moving through the Minkowski vacuum, and its thermal feature is believed to be inseparable from Lorentz symmetry: Without the latter, the former…

Quantum Physics · Physics 2022-09-19 Zehua Tian , Longhao Wu , Liang Zhang , Jiliang Jing , Jiangfeng Du

In this work we compare the quantization of a massless scalar field in an inertial frame with the quantization in a rotating frame. We used the Trocheries-Takeno mapping to relate measurements in the inertial and the rotating frames. An…

High Energy Physics - Theory · Physics 2008-11-26 V. A. De Lorenci , R. D. M. De Paola , N. F. Svaiter

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in $k=-1$ static Robertson--Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet…

High Energy Physics - Theory · Physics 2009-08-21 M R Setare , J Sadeghi

We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. The latter is modeled by a massless scalar field in a thermal state. We consider two different couplings of…

Quantum Physics · Physics 2020-10-14 Nikolaos Papadatos , Charis Anastopoulos