The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Timothy H. Boyer - One of the best experts on this subject based on the ideXlab platform.
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Blackbody radiation in Classical Physics: A historical perspective
American Journal of Physics, 2018Co-Authors: Timothy H. BoyerAbstract:We point out that current textbooks of modern Physics are a century out-of-date in their treatment of blackbody radiation within Classical Physics.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 radiation gives the Planck spectrum with zero-point radiation as the blackbody radiation spectrum. In contrast, nonrelativistic mechanics cannot support the idea of zero-point energy; therefore, if nonrelativistic Classical statistical mechanics or nonrelativistic mechanical scatterers are invoked for radiation equilibrium, one arrives at only the low-frequency Rayleigh-Jeans part of the spectrum, which involves no zero-point energy, and does not include the high-frequency part of the spectrum involving relativistically invariant Classical zero-point radiation. Here, we first discuss the correct understanding of blackbody radiation within relativistic Classical Physics, and then we review the historical treatment. Finally, we point out how the presence of Lorentz-invariant Classical zero-point radiation and the use of relativistic particle interactions transform the previous historical arguments, so as now to give the Planck spectrum including Classical zero-point radiation. Within relativistic Classical electromagnetic theory, Planck's constant ℏ appears as the scale of source-free zero-point radiation.
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The Blackbody Radiation Spectrum Follows from Zero-Point Radiation and the Structure of Relativistic Spacetime in Classical Physics
Foundations of Physics, 2012Co-Authors: Timothy H. BoyerAbstract:The analysis of this article is entirely within Classical Physics. Any attempt to describe nature within Classical Physics requires the presence of Lorentz-invariant Classical electromagnetic zero-point radiation so as to account for the Casimir forces between parallel conducting plates at low temperatures. Furthermore, conformal symmetry carries solutions of Maxwell’s equations into solutions. In an inertial frame, conformal symmetry leaves zero-point radiation invariant and does not connect it to non-zero-temperature; time-dilating conformal transformations carry the Lorentz-invariant zero-point radiation spectrum into zero-point radiation and carry the thermal radiation spectrum at non-zero temperature into thermal radiation at a different non-zero temperature. However, in a non-inertial frame, a time-dilating conformal transformation carries Classical zero-point radiation into thermal radiation at a finite non-zero-temperature. By taking the no-acceleration limit, one can obtain the Planck radiation spectrum for blackbody radiation in an inertial frame from the thermal radiation spectrum in an accelerating frame. Here this connection between zero-point radiation and thermal radiation is illustrated for a scalar radiation field in a Rindler frame undergoing relativistic uniform proper acceleration through flat spacetime in two spacetime dimensions. The analysis indicates that the Planck radiation spectrum for thermal radiation follows from zero-point radiation and the structure of relativistic spacetime in Classical Physics.
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Classical Physics of thermal scalar radiation in two spacetime dimensions
American Journal of Physics, 2011Co-Authors: Timothy H. BoyerAbstract:Thermal scalar radiation in two spacetime dimensions is treated within relativistic Classical Physics. We first consider an inertial frame in which we give the analogues of Boltzmann’s derivation of the Stefan–Boltzmann law and Wien’s derivation of the displacement theorem using the scaling appropriate to relativistic radiation theory. The spectrum of Classical scalar zero-point radiation in an inertial frame is derived both from scale invariance and from Lorentz invariance. We then consider the behavior of thermal radiation in a coordinate frame undergoing (relativistic) constant acceleration. The Classical zero-point radiation of inertial frames is transformed to the coordinates of an accelerating frame. Although the two-field correlation function for zero-point radiation at different spatial points at a single time is the same for inertial and accelerating frames, the correlation function at two different times at a single spatial coordinate is different and, in an accelerating frame, has a natural ext...
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Classical Physics of Thermal Scalar Radiation in Two Spacetime Dimensions
American Journal of Physics, 2011Co-Authors: Timothy H. BoyerAbstract:Thermal scalar radiation in two spacetime dimensions is treated within relativistic Classical Physics. Part I involves an inertial frame where are given the analogues both of Boltzmann's derivation of the Stefan-Boltzmann law and also Wien's derivation of the displacement theorem using the scaling of relativitic radiation theory. Next the spectrum of Classical scalar zero-point radiation in an inertial frame is derived both from scale invariance and from Lorentz invariance. Part II involves the behavior of thermal radiation in a coordinate frame undergoing (relativistic) constant acceleration, a Rindler frame. The radiation normal modes in a Rindler frame are obtained. The Classical zero-point radiation of inertial frames is transformed over to the coordinates of a Rindler frame. Although for zero-point radiation the two-field correlation function at different spatial points at a single time is the same between inertial and Rindler frames, the correlation function at two different times at a single Rindler spatial coordinate is different, and has a natural extension to non-zero temperature. The thermal spectrum in the Rindler frame is then transferred back to an inertial frame, giving the familar Planck spectrum.
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unfamiliar trajectories for a relativistic particle in a kepler or coulomb potential
American Journal of Physics, 2004Co-Authors: Timothy H. BoyerAbstract:Relativistic particles in the Kepler and Coulomb potentials may have trajectories that are qualitatively different from the trajectories found in nonrelativistic mechanics. Spiral scattering trajectories were pointed out by C. G. Darwin in 1913 in connection with the relativistic Rutherford scattering of Classical charged particles. Relativistic trajectories are of current interest in connection with Cole and Zou’s computer simulation of the hydrogen ground state in Classical Physics.
Fritz Bopp - One of the best experts on this subject based on the ideXlab platform.
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Causal Classical Physics in Time Symmetric Quantum Mechanics
Proceedings, 2017Co-Authors: Fritz BoppAbstract:The letter submitted is an executive summary of our previous paper. To solve the Einstein Podolsky Rosen 'paradox' the two boundary quantum mechanics is taken as self consistent interpretation of quantum dynamics. The difficulty with this interpretation is to reconcile it with Classical Physics. To avoid macroscopic backward causation two 'corresponding transition rules' are formulated which specify needed properties of macroscopic observations and manipulations. The apparent Classical causal decision tree requires to understand the Classically unchosen options. They are taken to occur with an 'incomplete knowledge' of the boundary states typically in macroscopic considerations. The precise boundary conditions with given phases then select the actual measured path and this selection is mistaken to happen at the time of measurement. The apparent time direction of the decision tree originates in an assumed relative proximity to the initial state. Only the far away final state allows for Classically distinct options to be selected from. Cosmologically the picture could correspond to a big bang initial and a hugely extended final state scenario. It is speculated that it might also hold for a big bang/big crunch world. If this would be the case the Born probability postulate could find a natural explanation if we coexist in the expanding and the correlated CPT conjugate contracting world.
Ralf Lehnert - One of the best experts on this subject based on the ideXlab platform.
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Classical-Physics applications for Finsler $b$ space
Bulletin of the American Physical Society, 2015Co-Authors: Joshua Foster, Ralf LehnertAbstract:Article history: Received 26 January 2015 Received in revised form 30 March 2015 Accepted 22 April 2015 Available online 24 April 2015 Editor: A. Ringwald The Classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in Classical Physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these Classical analogues demonstrates that Finsler b spaces possess applications in conventional Physics, which may yield insight into the propagation of SME fermions on curved manifolds. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
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Classical-Physics applications for Finsler $b$ space
Physics Letters B, 2015Co-Authors: Joshua Foster, Ralf LehnertAbstract:Abstract The Classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in Classical Physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these Classical analogues demonstrates that Finsler b spaces possess applications in conventional Physics, which may yield insight into the propagation of SME fermions on curved manifolds.
Vahid Sandoghdar - One of the best experts on this subject based on the ideXlab platform.
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controlled coupling of counterpropagating whispering gallery modes by a single rayleigh scatterer a Classical problem in a quantum optical light
Physical Review Letters, 2007Co-Authors: A Mazzei, Stephan Gotzinger, L De S Menezes, G Zumofen, Oliver Benson, Vahid SandoghdarAbstract:We present experiments where a single subwavelength scatterer is used to examine and control the backscattering induced coupling between counterpropagating high-Q modes of a microsphere resonator. Our measurements reveal the standing wave character of the resulting symmetric and antisymmetric eigenmodes, their unbalanced intensity distributions, and the coherent nature of their coupling. We discuss our findings and the underlying Classical Physics in the framework common to quantum optics and provide a particularly intuitive explanation of the central processes.
Joshua Foster - One of the best experts on this subject based on the ideXlab platform.
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Classical-Physics applications for Finsler $b$ space
Bulletin of the American Physical Society, 2015Co-Authors: Joshua Foster, Ralf LehnertAbstract:Article history: Received 26 January 2015 Received in revised form 30 March 2015 Accepted 22 April 2015 Available online 24 April 2015 Editor: A. Ringwald The Classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in Classical Physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these Classical analogues demonstrates that Finsler b spaces possess applications in conventional Physics, which may yield insight into the propagation of SME fermions on curved manifolds. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
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Classical-Physics applications for Finsler $b$ space
Physics Letters B, 2015Co-Authors: Joshua Foster, Ralf LehnertAbstract:Abstract The Classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in Classical Physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these Classical analogues demonstrates that Finsler b spaces possess applications in conventional Physics, which may yield insight into the propagation of SME fermions on curved manifolds.