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The relative motion of material, point-like observers is analysed in terms of coordinate maps between the respective rest-frame of each observer. Under the assumption these maps are $C^{2}$-regular, conservation laws are deduced, which in…

General Physics · Physics 2022-09-14 Tony Lyons

We show that the emission of a Minkowski particle by a general class of scalar sources as described by inertial observers corresponds to either the emission or the absorption of a Rindler particle as described by uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2009-10-28 George E. A. Matsas

We study the finite time response of an Unruh-DeWitt particle detector described by a qubit (two-level system) moving with uniform constant acceleration in maximally symmetric spacetimes. The $D$ dimensional massless fermionic response…

High Energy Physics - Theory · Physics 2023-12-04 Shahnewaz Ahmed , Mir Mehedi Faruk , Muktadir Rahman

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

General Physics · Physics 2012-08-31 Giovanni Zanella

Just as the ordinary Doppler effect serves as a tool to measure radial velocities of celestial objects, so can the relativistic Doppler effect be implemented to measure a combination of radial and transverse velocities by using recent…

Astrophysics · Physics 2016-01-13 Leonid M. Ozernoy

Recently, the progress in the radar sensing technology consisting in the miniaturization of the packages and increase in measuring precision has drawn the interest of the robotics research community. Indeed, a crucial task enabling autonomy…

Robotics · Computer Science 2026-02-05 Jan Michalczyk

We show that when the observers are located in a plane electromagnetic wave it is not compulsory for them to take into account the time dilation and length contraction effects when the wave is detected from two inertial reference frames in…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu

The Unruh effect predicts an astonishing phenomenon that an accelerated detector would detect counts despite being in a quantum field vacuum in the rest frame. Since the required detector acceleration for its direct observation is…

Quantum Physics · Physics 2025-10-29 Xu Cheng , Yue Li , Zehua Tian , Xingyu Zhao , Xi Qin , Yiheng Lin

A central aspect of every pulsed radar signal processor is the targets Range-Doppler estimation within a Coherent Processing Interval. Conventional methods typically rely on simplifying assumptions, such as linear target motion, narrowband…

Signal Processing · Electrical Eng. & Systems 2026-04-24 Nadav Neuberger , Simon Kollecker , Martin Kaeske

The Abraham-Lorentz-Dirac theory predicts vanishing radiation reaction for uniformly accelerated charges. However, since an accelerating observer should detect thermal radiation, the charge should be seen absorbing photons in the…

High Energy Physics - Theory · Physics 2021-04-21 Zoltán Tulipánt

It is well known that the experience of a linearly accelerated observer with acceleration $a$, interacting with a massless scalar field in its vacuum state in $3+1$ Minkowski spacetime, is identical to that of a static observer interacting…

General Relativity and Quantum Cosmology · Physics 2024-03-25 Cameron R. D. Bunney , Leo Parry , T. Rick Perche , Jorma Louko

This paper considers the problem of attitude, position and linear velocity estimation for rigid body systems relying on landmark measurements. We propose two hybrid nonlinear observers on the matrix Lie group $SE_2(3)$, leading to global…

Optimization and Control · Mathematics 2020-05-15 Miaomiao Wang , Abdelhamid Tayebi

The worldline of a uniformly accelerated localized observer in Minkowski space is restricted in the Rindler wedge, where the observer can in principle arrange experiments repeatedly, and the Cauchy problem for quantum fields in that Rindler…

General Relativity and Quantum Cosmology · Physics 2020-06-08 Shih-Yuin Lin

A Doppler radar is a device that employs the Doppler effect to estimate the radial velocity of a moving target at a distance. Traditional radars are based on a classical description of the electromagnetic radiation, but in principle their…

Quantum Physics · Physics 2024-11-22 Rongyu Wei , Francesco Albarelli , Jun Li , Vittorio Giovannetti

We show under what conditions an accelerated detector (e.g., an atom/ion/molecule) thermalizes while interacting with the vacuum state of a quantum field in a setup where the detector's acceleration alternates sign across multiple optical…

Quantum Physics · Physics 2021-11-09 Silas Vriend , Daniel Grimmer , Eduardo Martín-Martínez

We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh-DeWitt monopole detector coupled to a massive scalar field, from both…

High Energy Physics - Theory · Physics 2025-01-13 Robert Dickinson , Jeff Forshaw , Ross Jenkinson , Peter Millington

We address the old question of whether or not a uniformly accelerated charged particle radiates, and consequently, if weak equivalence principle is violated by electrodynamics. We show that radiation has different meanings; some absolute,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Shariati , M. Khorrami

The influence functional is derived for a massive scalar field in the ground state, coupled to a uniformly accelerating DeWitt monopole detector in $D+1$ dimensional Minkowski space. This confirms the local nature of the Unruh effect, and…

High Energy Physics - Theory · Physics 2009-10-22 J. R. Anglin

We present simple arguments that detectors moving with constant acceleration (even acceleration for a finite time) should detect particles. The effect is seen to be universal. Moreover, detectors undergoing linear acceleration and uniform,…

High Energy Physics - Theory · Physics 2009-11-13 Emil T. Akhmedov , Douglas Singleton

We analyze the two-photon emission process of a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in Minkowski spacetime. Using second-order perturbation theory, we derive the exact final quantum state of…

High Energy Physics - Theory · Physics 2025-07-31 Arash Azizi