During a transverse acceleration of a light clock from rest, the mirrors must be tilted so as to retain the light pulse. The mirrors therefore have a normal velocity which increases the frequency of the pulse at each reflection. If a mirror is annihilated, the frequency of the escaping pulse, as a result of many reflections, is that of the relativistic Doppler effect. This holds for any acceleration, if the Fitzgerald contraction is assumed, thereby furnishing a new mechanism (...) for such frequencies. The traditional mechanism, in which the source (subject to the time dilation) generates a pulse modulated by the source motion, is therefore not a unique explanation of the Doppler effect. The new mechanism permits the speculation that radiation preexists in atomic sources, rather than being generated at the instant of release. (shrink)

Fundamental incompatibility arises at the interface of quantum mechanics and the special theory of relativity with Einstein synchronization, in which simultaneity is not absolute. It has, however, been shown that a relativistic theory preserving absolute simultaneity allows to formulate Lorentz-covariant quantum theory, at a price of introducing a preferred frame of reference manifesting itself in a directional anisotropy of the speed of light. We show that a supposed method of distinguishing between these two theories based on the Doppler (...) class='Hi'>effect is insensitive to this anisotropy. Both theories are indistinguishable if only kinematic effects for light or subluminal signals are considered. (shrink)

Christian Doppler, an Austrian physicist, described in 1842 the apparent change in frequency of a wave when motion of the source or the observer is involved. Named after him, this change in observational frequencies is known as the Doppler Effect. The formula for calculating the frequency change is taught in universities, textbooks, Youtube, and on the internet. Understanding the Doppler effect is used in applications such as radar. Yet, the formula is wrong, yielding a different (...) result when applying the same velocity, once to the source, then to the observer. This article will show the formula, the error, the correction to the formula, and how it disproves Einstein’s theories of special and general relativity. (shrink)

We consider the light Doppler effect within the framework of our absolute spacetime theory, which proceeds from the aether conception for light propagation. We show that for the cases of “observer at rest, source moving” and “source at rest, observer moving” the formulas for the received frequency are the same, but the formulas for the wavelength are different. This is in a drastic contradiction with the formulas given by contemporary physics, which proceeds from the principle of relativity. Our (...) recently performed “coupled-mirrors” experiments show that only our formulas can adequately describe physical reality. The experiment for the measurement of the transverse light Doppler effect proposed by us in another paper is reconsidered and we point out how it can be realized as a compensation experiment. The so-called “rotor” and “rotor-rotor” experiments are analyzed. We show why the rotor experiment carried out with the aim of establishing an aether drift has failed to give any positive result. (shrink)

The question is discussed whether the description of the gravitational Doppler effect as a simple energy effect is consistent with its general-relativistic description as a metric-time effect. The difference between a local description and a global one is stressed. In the local description one is permitted to ignore metric effects. The global description yields a position-dependent rate of proper time in a gravitational field, and the energy, or the frequency, of a “freely falling” photon is described (...) as a constant of motion. An experiment of nonlocal character measuring, simultaneously, the gravitational Doppler effect and the position-dependent rate of proper time may be performed by the use of a geostationary satellite. A simple general-relativistic treatment of the satellite experiment is obtained by transforming the Schwarzschild metric to a rotating frame, and describing the motion of free particles and the rates of standard clocks in the resulting metric. (shrink)

It is shown that (a) both the dispersion relations between the mean frequency θ0 and the mean wave number k 0 are invariant under the Lorentz transformation; and (b) the relativistic Doppler effects on θ 0 and k 0 differ. In the suboptic packet there is anomalous red shift in the mean wave number k' 0 received from a source receding with speed v: k′ 0 changes sign through zero as v goes through the value vg, the mean group (...) velocity in the packet. In the superoptic packet the anomalous red shift is in the mean frequency θ′ 0 which reverses sign through zero as v goes through the value vp, the mean phase velocity in the packet. This last finding indicates a blackout of the superoptic signal when propagated toward a receiver moving away from the source at a speed greater than vp. There is no violation of causality involved, and the final conclusion of the paper is that it is not a fundamental axiom of “special relativity,” as usually believed, to deny that information can be transmitted at speeds greater than c. (shrink)

Voigt's 1887 explanation of the Michelson-Morley result as a Doppler effect using absolute space-time is examined. It is shown that Doppler effects involve two wave velocities: (1) the phase velocity, which is used to account for the Michelson-Morley null result, and (2) the velocity of energy propagation, which, being fixed relative to absolute space, may be used to explain the results of Roemer, Bradley, Sagnac, Marinov, and the 2.7° K anisotropy.

The unborn healthy foetus is looked upon as a blessing by one and all. A plethora of thoughts arise in the brains of expectant parents. But what goes on in the brain of the yet unborn still remains a mystery. 'Foetal mind' is a reflection of functions of its organs of sense, an instrument of knowledge that may even be reduced to machine to demonstrate the effect of sense organs and brain contact. Testimony to this fact are the various (...) waveform patterns obtained non-invasively from the foetal Middle Cerebral Artery (MCA) by using Colour Doppler Ultrasound. Our study, conducted for evaluating the foetal MCA in a rural obstetric population in Maharashtra, India, explains how the MCA - a major artery supplying foetal brain, can give abundant information about foetal heart and foetal stress. When only the foetal heart is stressed by the presence of arrhythmias or ectopic beats, these changes are manifest in the foetal MCA velocity waveform pattern as seen on Colour Doppler study. When the entire foetus is under stress, as in cases of intra uterine growth retardation (IUGR), changes again manifest in the foetal MCA velocity waveform pattern and are designated as the foetal Brain Sparing Effect. Thus scientific evaluation of foetal MCA waveform can objectively demonstrate that the overtly non-communicating foetal brain indeed remains an internal organ of sense and a vital instrument of knowledge to clarify the various effects of sense organs and brain contact. Although the brain parenchyma or cerebral metabolism has not been studied here, cerebral vessels serve as a window to cerebral metabolism, as auto regulatory function of brain leads to changes in haemodynamics of cerebral vessels. Also, like other vessels, MCA mirrors foetal distress and IUGR; but unlike other vessels, e.g. the umbilical or uterine artery, which show these changes in the form of reduction or even reversal of diastolic flow, MCA shows an increase in diastolic component due to brain sparing effect. The unique connection between physical changes in the foetal heart, brain and mental operations are thus critically clarified to some extent, and this helps untangle and comprehend the lattice of mental operations. Although this preliminary study has its limitations, it still carries forward the present corpus of knowledge on the strength of its evidential and critical enquiry and helps unravel the concept of foetal consciousness. (shrink)

We find the relation between the frequencies received by two observers placed at a given parallel with 180° difference in longitude when they observe a distant light (radio) source. This relation depends on the absolute velocity of the Earth; however, because of the occurrence of aberration, the effect cannot be registered in practice.

We examine the process of the emission of light from an atom that is in a relative translational motion with respect to the medium at rest in which the electromagnetic excitations propagate. The effect of Lorentz contraction of the of electron orbits on the emitted frequency is incorporated in the Rydberg formula, as well as the emitter’s Doppler effect is acknowledged. The result is that the frequency of the emitted light is modified by a factor that is (...) identical with what is called the ‘relativistic Doppler effect’. The new emission formula is applied for reinterpretation of the Ives-Stilwell experiment and shown that within the second order of approximation with respect to the speeds of the atom and the ‘absolute speed’ (Earth’s speed relative to the medium), the absolute motion does not affect the interference. The expression for the modification of the frequency involves both a first and a second-order term with respect to the speed of the atoms in the cathode tube. The latter turns out to be quantitatively the same as if the time would have changed its rate in the frame moving with the atoms. Thus, a new interpretation of the results of this famous experiment is provided without stipulating time dilation. (shrink)

Name der Zeitschrift: Zeitschrift für kritische Sozialtheorie und Philosophie Jahrgang: 3 Heft: 1 Seiten: 108-130.

Ernst Mach is the only person whom Einstein included on both the list of physicists he considered his true precursors, and the list of the philosophers who had most affected him. Einstein scholars have been less generous in their estimation of Mach's contributions to Einstein's work, and even amongst the more generous of them, Mach's great achievements in physics are seldom mentioned in this context. This is odd, considering Mach was nominated for the Nobel Prize in Physics three times. In (...) this paper, I examine some of Mach's work in physics that bears conceptually on Einstein's 1905 paper on Special Relativity ("On The Electrodynamics of Moving Bodies"). Mach was the first to give the correct explanation of the Doppler Effect, and he presented it in a way that Einstein echoes in his 1905 paper: laying out two apparently contradictory principles and showing how both can be retained. It is also notable that Mach's explanation was explicit about not relying on the existence of a medium of transmission for the propagation of light waves. In his work on supersonic shock waves, Mach invokes the constancy of the velocity of sound (i.e., its independence of the motion of the sound source) , just as he had invoked the constancy of the velocity of light in his work on the Doppler Effect for Light. I examine the analogies between light and sound that were drawn upon by Einstein and Mach, as well as one analogy that Einstein could have, but did not make: Cherenkov radiation, or "singing electrons", i.e., cases in which the sound of light in the medium of transmission is exceeded, which results in an optical analogue of supersonic shock waves. (shrink)

While mechanics was developed under the idea of reciprocal action (interactions), electromagnetism, as we know it today, takes a form more akin to unilateral action. Interactions call for spatial relations, unilateral action calls for space, just one reference centre. In contrast, interactions are matters of relations that require at least two centres. The development of the relational electromagnetism encouraged by Gauss appears to stop around 1870 for reasons that are not completely clear but are certainly not solely scientific. By the (...) same time, Maxwell recognised the equivalence in formulae of his electromagnetism and the one advocated by Gauss and called for an explanation of why such theories so differently conceived have such a large part in common. In this work we reconstruct and update the relational electromagnetism up to the contributions of Lorentz guided by the non-arbitrariness principle (NAP) that requests arbitrary choices to be accompanied by groups of symmetries. We show that a-priori there must be two more symmetries in electromagnetism, one related to the breaking (in the description) of the relation source/detector and one relating all the perceptions of the same source by detectors moving with different (constant) relative velocities. We show that the idea of electromagnetic waves put forward in concept by Lorenz (1861-1863) before Maxwell (1865) and in formulae (1867) just after Maxwell, together with the ``least action principle'' proposed by Lorentz are enough to derive Maxwell's equations, the continuity equation and the Lorentz' force, and that there is a dual formulation in terms of fields of the receiver (as opposed to fields of the source). While Galilean transformations are associated with removing the arbitrariness implied in the election of a reference space, they will not explicitly appear in a formulation based upon a relational space although we occasionally mention their usefulness. In contrast, Lorentz' transformations will emerge in this formulation involving the relations between the perceived fields of different receivers. Moreover, the role of the full Poincaré-Lorentz group as a group of transformations of the perceived actions is elucidated. In summary, we answer Maxwell's philosophical question showing how the same theory in formulae can be abduced using different inferred entities. Each form of abduction implies as well an interpretation and a facilitation of the theoretical construction. This work relies heavily on logical concepts as abduction put forward by C. Peirce, needed for the construction of theories. (shrink)

... ISBN0199215928 ... -/- Abstract: Vision dominates philosophical thinking about perception, and theorizing about experience in cognitive science traditionally has focused on a visual model. This book presents a systematic treatment of sounds and auditory experience. It demonstrates how thinking about audition and appreciating the relationships among multiple sense modalities enriches our understanding of perception. It articulates the central questions that comprise the philosophy of sound, and proposes a novel theory of sounds and their perception. Against the widely accepted philosophical (...) view that sounds are among the secondary or sensible qualities, and against the scientific view that sounds are waves that propagate through a medium such as air or water, the book argues that sounds are events in which objects or interacting bodies disturb a surrounding medium. This does not imply that sounds propagate through a medium, such as air or water. Rather, sounds are events that take place in one's environment at or near their sources. This account captures the way in which sounds essentially are creatures of time and situates sounds in the world. Sounds are not ethereal, mysterious entities. It also provides a powerful account of echoes, interference, reverberation, Doppler effects, and perceptual constancies that surpasses the explanatory richness of alternative theories. Investigating sounds and audition demonstrates that considering other sense modalities teaches what we could not otherwise learn from thinking exclusively about the visual. This book concludes by arguing that a surprising class of cross-modal perceptual illusions demonstrates that the perceptual modalities cannot be completely understood in isolation, and that a visuocentric model for theorizing about perception — according to which perceptual modalities are discrete modes of experience and autonomous domains of philosophical and scientific inquiry — ought to be abandoned. -/- . (shrink)

Born in 1838, Mach was a pioneer in the field of physics, having even made an impression on Einstein in his younger life who credited him with being the "Philosophical forerunner of relativity theory." His name is also associated with the speed of sound (as in traveling at Mach "insert-number-here") as well as the Doppler effect. Throughout his career, he was particularly interested in the biological and sensory relationship to physics and science, and naturally, this interest expanded to (...) that of the world of psychological perception and physiological psychology as well as philosophy. The Analysis of Sensations is about just that, the nature of the relationship of physics and the physical sciences to psychological phenomena of sense and perception. It's a fascinating read for anyone looking to expand their knowledge of how the two sides of the same coin meld harmoniously. (shrink)

Quantum theory and relativity -- Some problems about restricted relativity -- Gravitation and relativity quantized atomic clocks -- A badly needed distinction between mathematical sets of coordinates and physical frames of reference -- Special relativity Doppler effect -- Relativity and gravitation -- A gravistatic problem with spherical symmetry -- Remarks and suggestions.

Eternalism is the view that all times are equally real. The relativity of simultaneity in special relativity backs this up. There is no cosmically extended, self-existing ‘now.’ This leads to a tricky problem. What makes statements about the present true? I shall approach the problem along the lines of perspectival realism and argue that the choice of the perspective does. To corroborate this point, the Lorentz transformations of special relativity are compared to the structurally similar equations of the Doppler (...) effect. The ‘now’ is perspectivally real in the same way as a particular electromagnetic spectrum frequency. I also argue that the ontology of time licensed by perspectival realism is more credible in this context than its current alternative, the fragmentalist interpretation of special relativity. (shrink)

The amount of information that can be transmitted through a noisy channel is affected by relativistic effects. Under the presence of a fixed noise at the receiver, there appears an asymmetry between “slowly aging” and “fast aging” observers which can be used to have private information transmission. We discuss some models for users inside gravitational wells and in the twin paradox scenario.

Just what is Einstein's Theory of Relativity? The Big Bang Theory? Curvature of Spacetime? What do astronomers mean when they talk of a 'flat universe'? This approachable and authoritative guide to the cosmos answers these questions, and more. Taking advantage of the distinctive Companion format, readers can use the extensive, cross-referenced background chapters as a fascinating and accessible introduction to the current state of cosmological knowledge - or, they can use the convenient A-Z body of entries as a quick reference (...) to a wide range of terms and concepts. Entries include topics such as: Black Hole; Doppler Effect; Fermi, Enrico; Heat Death of the Universe; Life in the Universe; Olber's Paradox; Quantum Field Theory; Supernova; and much more. (shrink)

Just what is Einstein's Theory of Relativity? The Big Bang Theory? Curvature of Spacetime? What do astronomers mean when they talk of a 'flat universe'? This approachable and authoritative guide to the cosmos answers these questions, and more. Taking advantage of the distinctive Companion format, readers can use the extensive, cross-referenced background chapters as a fascinating and accessible introduction to the current state of cosmological knowledge - or, they can use the convenient A-Z body of entries as a quick reference (...) to a wide range of terms and concepts. Entries include topics such as: Black Hole; Doppler Effect; Fermi, Enrico; Heat Death of the Universe; Life in the Universe; Olber's Paradox; Quantum Field Theory; Supernova; and much more. (shrink)

Just what is Einstein's Theory of Relativity? The Big Bang Theory? Curvature of Spacetime? What do astronomers mean when they talk of a 'flat universe'? This approachable and authoritative guide to the cosmos answers these questions, and more. Taking advantage of the distinctive Companion format, readers can use the extensive, cross-referenced background chapters as a fascinating and accessible introduction to the current state of cosmological knowledge - or, they can use the convenient A-Z body of entries as a quick reference (...) to a wide range of terms and concepts. Entries include topics such as: Black Hole; Doppler Effect; Fermi, Enrico; Heat Death of the Universe; Life in the Universe; Olber's Paradox; Quantum Field Theory; Supernova; and much more. (shrink)

Presents a history of physics from the dawn of science to the present through coverage of one hundred scientific breakthroughs in the discipline, including force and inertia, hidden heat, the Doppler effect, cloud chambers, and string theory.

Aberrations -- Absorption -- Accuracy and precision -- Alpha radiation -- Amplitude -- Angular forces -- Angular momentum -- Antenna -- Arago dot -- Aperture -- Archimedes's principle -- Band theory of solids -- Bernoulli's principle -- Beta radiation -- Blackbody radiation -- Bohr atom -- Bose condensation -- Bra-ket notation -- British thermal unit (BTU) -- Calculating system efficiency -- Circular motion -- Closed systems and isolated systems -- Concave and convex -- Conservation of charge -- Conservation of energy (...) -- Convection and conduction -- Cosmic radiation -- Crest and trough -- Density and specific gravity -- Diode -- Distance and area -- Distortion -- Doppler effect -- Dynamic systems theory -- Edison effect -- Eigenvectors -- Elastic and inelastic collisions -- Electric circuits: Parallel vs series, diagrams and components -- Electric potential -- Energy and power -- Enthalpy -- Entropy -- Euler's laws of motion -- Falling bodies and physics -- Faraday's law -- Feynman diagrams -- Flywheel -- Focal point -- Free body diagram -- Frequency -- Gamma radiation -- Gauss's law -- Gluon -- Gravitational potential energy -- Harmonic oscillator -- Harmonics -- Heisenberg uncertainty principle -- Higgs boson -- Horsepower -- Ideal gas law -- Joule --. (shrink)

It has been established that the kinematics of the Voigt transformation, which lacks group structure, is different from that of the Lorentz transformation, and that the apparent kinematic asymmetry of the Voigt coordinate transformations may be understood as a conformally symmetric kinematics. Phenomena such as the kinetic energy of a moving body and the Doppler effect are not quite the same under the conformal Voigt transformation as they are for the usual theory developed with respect to the Lorentz (...) group. Yet the massenergy conservation law under the Voigt coordinate transformations and the mass-energy conservation law under the group of Lorentz transformations are identically the same. (shrink)

It is shown that no concrete particle can have zero rest mass. A separate photon is proven to be a concrete particle. The nonexistence of the electromagnetic field as an independent physical reality is demonstrated. The existence of a subatomic electromagnetic particle of a very small rest mass, theemon, instead of the electromagnetic field, is stated. The compatibility of the notion of the emon with the special relativity theory is elucidated. Some corollaries of the existence of the emon as well (...) as the possibilities of determining its rest mass are discussed. The explanations of the relativity aberration and Doppler effect in terms of the emon are given. The importance of the principle of concreteness of experiments is emphasized and illustrated. Some related problems are noticed. (shrink)

A two-body quantum correlation is calculated for a particle reflecting from a moving mirror. Correlated interference results when the incident and reflected particle substates and their associated mirror substates overlap. Using the Copenhagen interpretation of measurement, an asynchronous joint probability density, which is a function both of the different positions and different times at which the particle and mirror are measured, is derived assuming that no interaction occurs between each measurement. Measurement of the particle first, in the correlated interference region, (...) results in a splitting of the mirror substate into ones which have and have not reflected the particle. An analog of the interference from the Doppler effect for only measurements of the particle, in this two-body system, is shown to be a consequence of the asynchronous measurement. The simplification obtained for a microscopic particle reflecting from a mesoscopic or macroscopic mirror is used to illustrate asynchronous correlation interferometry. In this case, the small displacement between these mirror states can yield negligible environmental decoherence times. In addition, interference of these mirror states does not vanish in the limit of large mirror mass due to the small momentum exchange in reflecting a microscopic particle. (shrink)

In 1783 John Michell published a note entitled ‘On the Means of Discovering the Distance, Magnitude etc. of the Fixed Stars, in Consequence of the Diminution of the Velocity of their Light’, but it was Christian Doppler who in 1842 for the first time formulated the principle : If a source of sound or light is in motion relative to an observer, or an observer in motion relative to a source, the period of the waves received by the observer (...) will be different from the period of the waves emitted by the source. The acoustical Doppler principle was verified in 1845 by Buys-Ballot's experiments and by Ernst Mach ). H. Fizeau proposed to verify the optical Doppler principle by measuring the shift of lines in the spectra of stars . This was carried out by William Huggins , and H. C. Vogel and led to exact results in 1892. The Doppler effect with canal rays was shown by Johannes Stark in 1905. (shrink)

In 1786, Robert Blair, an unknown astronomer from Edinburgh, wrote a paper that would remain unpublished. In his manuscript, Blair gives a systematic treatment of the Newtonian kinematics of light, taking into account in the absolute space of Newton the motion of the light source, that of the observer, and the velocity of the corpuscles of light. Two years before, in the context of Newton's corpuscular theory of light, John Michell had pointed out that the velocity of light could be (...) measured with the help of refraction experiments. Blair went a step further and inferred the existence of what we now call the Doppler effect: a variation of refraction due to a relative motion of the source and the observer. Blair's proposal is at the roots of Arago's well‐known 1806–10 experiments on the velocity of light. In the context of the undulatory theory of light, Blair proposed an experiment to determine the absolute motion of the Earth, laying the bases for the famous experiment performed by Albert Michelson 100 years later. In fact, this manuscript contains the very questions of light relativity, the roots of spectroscopy, and addresses the very problems that would be hotly debated in the nineteenth century, only to be solved by Einstein in 1905. (shrink)

We show that the general light Doppler effect formula leads to an absolute null result in Santos' experiment. We point out that this experiment cannot be practically performed with the proposed Mössbauer effect technique. We emphasize that the relation between the emitted and received frequencies in the light Doppler effect is substantially different than the relation between the wavelengths.

The Michelson-Morley result is described empirically by generalized Doppler equations. If the phase of a light wave is not invariant, in agreement with the quantum nature of light, special-relativistic kinematics need not be assumed. Einstein particle dynamics and Maxwell-Lorentz electrodynamics in a moving system are derived without assuming special-relativistic kinematics. An alternative explanation for the decay rate of moving radioactive particles is presented. The observation of a third-order Doppler effect may yield the velocity of the closed laboratory.

continent. 2.2 (2012): 64–65 Notes on Notes on Sound, July 18, 8:34pm Isaac Linder Paul de Man begins his landmark text, Allegories of Reading , with a cheeky epigraph from the philosopher Blaise Pascal. It reads, 'Quand on lit trop vite ou trop doucement on n’entend rien' (When you read too quickly or too slowly you hear nothing). The epigraph is cheeky because in the course of de Man's work he avoids elucidating at what speed one would one would be (...) able to properly hear the texts to which they are attending. For de Man the force of literary tropes—the way they seduce and structure their multiple readings—relies on the intimate proximity of figures and properties in the relational linkages of a text. Textual spatialization trumps and belies the importance of the tempo and temporality. Enter the "site"-specific text videos by the Korean-American writer and improvising musician, Bonnie Jones. In these works, unique to the venues that have solicited them, the time of writing is captured and stored in a complex digital apparatus in the first instance, along with all of the hesitations, repetitions, and sudden keystrokes attending its production. Speed is pro-scribed— written in advance—and the time (five minutes and sixteen seconds) of Notes on Sound is spatialized into an affective mesh that ensnares the viewer in a doppler effect created between the speed of writing and the speed of reading. We're caught in the tempo of Jones' decisions (that is, unless we fast forward, pause, or rewind the text; unless it freezes or takes too long to load). We find ourselves subvocalizing along to a deceptively simple prompt ("please now together count back from one hundred") as the phonetic units that comprise the video permute into polyphony and warp like the minimalist pixelations of a concrete poem into the grammar of the Notes (that is, unless we are reading along out loud). We are forced to feel our form of reading as it unfolds, in a manner arguably more proliferate and protocolized than would have been known in Pascal's time. Would he have been able to hear anything? With its understated use of syntax and short-circuiting Notes on Sound is without a soundtrack, but by no means silent: Meditation on counting, on the sound of counting, and what counts as sounding; on the way we count on sound as a pre-text for things to ring true, as they do in the famously less calculable arenas of, say, emotion and poetry. Notes on Sound is a record of these. If I become more emotional about this it is only because it forces us to hear her.  . (shrink)

The circular arc swept out by the angular displacement of a clock indicator (or its equivalent representation) measuring time is shown to be a Lorentz invariant, representing “universal” time. The concepts of time dilation and transverse Doppler effect are accordingly not physically observable. The experiments on these effects when examined critically are found to be inconclusive. Length contraction, also experimentally unconfirmed, and kinematic temporal phase, both consequences of the Lorentz transformations, are as a matter of logical consistency also (...) physically unobservable. (shrink)

What is the relation between metaphysical and psychological insights into temporal asymmetries? This chapter examines that question on the basis of a case study concerning the temporal Doppler effect (Caruso, Van Boven, Chin, & Ward, 2013). Caruso et al. propose that future events seem closer than past ones at an equal objective temporal distance because we experience subjective movement through time. I explore ways of interpreting their discussion in the light of the metaphysical debate between A- and B-theorists (...) over whether time really passes and whether the future is genuinely ‘open’ while the past is ‘fixed’. I argue for the following claims: (1) Caruso et al.’s talk of a subjective movement through time seems best interpreted as concerning our longer term cognitive relationship to time; (2) both A- and B-theoretic interpretations of their discussion are viable as interpretations; (3) if combined with Priorean arguments for the A-theory, it takes some work to make sure the A-theoretic interpretation respects Van Boven and Caruso’s constraint that the objective temporal distance cannot directly influence psychological outcomes without influencing psychological intermediaries; and (4) a third, less metaphysically loaded interpretation may be preferable to both the A- and the B-theoretic ones. (shrink)

The present expression of radiation of an accelerated point charge is only approximately valid. The exact expression of radiation of an accelerated point charge is derived based on special relativity, and using the Larmor formulation for the radiation of an charged particle being accelerated, but instantaneously at rest. The totaled radiation power obtained by the exact expression is the same as Liénard’s generalization of the Larmor formula.