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Planck's law for black-body radiation marks the origin of quantum theory and is discussed in all introductory (or advanced) courses on this subject. However, the question whether Planck really implied quantisation is debated among…

History and Philosophy of Physics · Physics 2017-03-17 Oliver Passon , Johannes Grebe-Ellis

The Planck's radiation law for the blackbody radiation spectrum was capable to explain the experimentally-measured blackbody spectrum. In order to get this result, Planck proposed his radiation law in a two-fold way: 1) by an \textit{ad…

Quantum Physics · Physics 2023-12-15 M. A. De Andrade , L. G. Ferreira Filho , C. Neves

We develop an effective theory which describes black holes with quantum mechanical horizons that is valid at scales long compared to the Schwarzschild radius but short compared to the lifetime of the black hole. Our formalism allows one to…

High Energy Physics - Theory · Physics 2020-05-20 Walter D. Goldberger , Ira Z. Rothstein

We give an example in which it is possible to understand quantum statistics using classical concepts. This is done by studying the interaction of charged matter oscillators with the thermal and zeropoint electromagnetic fields…

Quantum Physics · Physics 2009-10-28 H. M. França , A. Maia , C. P. Malta

It has been known for some time that the classical concept of radiation is not covariant: for uniformly accelerated particles, it depends on the state of motion of the observer relative to the particle emitting it. Moreover, recent…

General Relativity and Quantum Cosmology · Physics 2024-06-27 Felipe Ignacio Portales Oliva

In the Unruh effect an observer with constant acceleration perceives the quantum vacuum as thermal radiation. The Unruh effect has been believed to be a pure quantum phenomenon, but here we show theoretically how the effect arises from the…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Ulf Leonhardt , Itay Griniasty , Sander Wildeman , Emmanuel Fort , Mathias Fink

In a recent work, Unruh showed that Hawking radiation is unaffected by a truncation of free field theory at the Planck scale. His analysis was performed numerically and based on a hydrodynamical model. In this work, by analytical methods,…

High Energy Physics - Theory · Physics 2009-10-28 R. Brout , S. Massar , R. Parentani , Ph. Spindel

The quantum to classical transition of fluctuations in the early universe is still not completely understood. Some headway has been made incorporating the effects of decoherence and the squeezing of states, though the methods and procedures…

General Relativity and Quantum Cosmology · Physics 2021-05-24 Fulvio Melia

Zero point quantum fluctuations as seen from non-inertial reference frames are of interest for several reasons. In particular, because phenomena such as Unruh radiation (acceleration radiation) and Hawking radiation (quantum leakage from a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. C. Rosu

Physical research looks for clues to quantum properties of the gravitational field. On the basis of the common Schr\"odinger theory, a simple model of the quantization of a Friedmann universe comprising dust and radiation is investigated.…

General Relativity and Quantum Cosmology · Physics 2014-09-17 Rainer Collier

Much progress has been made in the last few decades in developing the necessary mathematics for understanding the full implications of the quantum-mechanical many-body problem and why the material world appears to be as stable as it is…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb

We point out that current textbooks of modern physics are a century out-of-date in their treatment of blackbody radiation within classical physics. Relativistic classical electrodynamics including classical electromagnetic zero-point…

Classical Physics · Physics 2018-06-22 Timothy H. Boyer

In this paper, using the viewpoint that quantum mechanics can be constructed as a classical field theory without any quantization I build a fully classical theory of thermal radiation. Planck's law for the spectral energy density of thermal…

General Physics · Physics 2016-04-19 Sergey A. Rashkovskiy

Although the Unruh and Hawking phenomena are commonly linked to field quantization in "accelerated" coordinates or in curved spacetimes, we argue that they are deeply rooted at the classical level. We maintain in particular that these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Massimo Pauri , Michele Vallisneri

We review a few topics in Planck-scale physics, with emphasis on possible manifestations in relatively low energy. The selected topics include quantum fluctuations of spacetime, their cumulative effects, uncertainties in energy-momentum…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Y. Jack Ng

We advocate the idea that Unruh's quantum radiation, whose theoretical discovery was originally motivated by the physics of black holes, may have important implications on the structure and dynamics of elementary particles. To that end, we…

High Energy Physics - Theory · Physics 2007-05-23 Shahar Hod

A derivation of the Planck spectrum for thermal radiation is given based upon wave fluctuations within relativistic classical physics. The derivation depends crucially on thermal fluctuations existing above the fundamental…

High Energy Physics - Phenomenology · Physics 2024-04-17 Timothy H. Boyer

The possibility of the effect of electromagnetic radiation (hereinafter - radiation from vacuum) due to the interaction of zero-point vacuum fluctuations with free charged particles accelerated at relativistic speeds in electric or magnetic…

Quantum Physics · Physics 2023-11-21 Ya. B. Ulanovsky , A. M. Frolov

An important question in the derivation of the acceleration radiation, which also arises in Hawking's derivation of black hole radiance, is the need to invoke trans-Planckian physics for the quantum field that originates the created quanta.…

General Relativity and Quantum Cosmology · Physics 2015-03-12 I. Agullo , J. Navarro-Salas , G. J. Olmo , L. Parker

Zero-point fluctuations are a universal consequence of quantum theory. Vacuum fluctuations of electromagnetic field have provided crucial evidence and guidance for QED as a successful quantum field theory with a defining gauge symmetry…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Charles H. -T. Wang , Melania Mieczkowska
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