A Derivation of the Speed of Light Postulate That Is Meant to Provide Such an Explanation
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Measurement of the Speed of Gravity
Measurement of the Speed of Gravity Yin Zhu Agriculture Department of Hubei Province, Wuhan, China Abstract From the Liénard-Wiechert potential in both the gravitational field and the electromagnetic field, it is shown that the speed of propagation of the gravitational field (waves) can be tested by comparing the measured speed of gravitational force with the measured speed of Coulomb force. PACS: 04.20.Cv; 04.30.Nk; 04.80.Cc Fomalont and Kopeikin [1] in 2002 claimed that to 20% accuracy they confirmed that the speed of gravity is equal to the speed of light in vacuum. Their work was immediately contradicted by Will [2] and other several physicists. [3-7] Fomalont and Kopeikin [1] accepted that their measurement is not sufficiently accurate to detect terms of order , which can experimentally distinguish Kopeikin interpretation from Will interpretation. Fomalont et al [8] reported their measurements in 2009 and claimed that these measurements are more accurate than the 2002 VLBA experiment [1], but did not point out whether the terms of order have been detected. Within the post-Newtonian framework, several metric theories have studied the radiation and propagation of gravitational waves. [9] For example, in the Rosen bi-metric theory, [10] the difference between the speed of gravity and the speed of light could be tested by comparing the arrival times of a gravitational wave and an electromagnetic wave from the same event: a supernova. Hulse and Taylor [11] showed the indirect evidence for gravitational radiation. However, the gravitational waves themselves have not yet been detected directly. [12] In electrodynamics the speed of electromagnetic waves appears in Maxwell equations as c = √휇0휀0, no such constant appears in any theory of gravity. -
Einstein's Simple Mathematical Trick –And the Illusion of a Constant
Applied Physics Research; Vol. 5, No. 4; 2013 ISSN 1916-9639 E-ISSN 1916-9647 Published by Canadian Center of Science and Education Einstein’s Simple Mathematical Trick –and the Illusion of a Constant Speed of Light Conrad Ranzan1 1 DSSU Research, Niagara Falls, Canada Correspondence: Conrad Ranzan, Director, DSSU Research, 5145 Second Avenue, Niagara Falls, ON. L2E 4J8, Canada. Tel: 1-905-357-0788. E-mail: [email protected], [email protected] Received: May 24, 2013 Accepted: June 25, 2013 Online Published: July 15, 2013 doi:10.5539/apr.v5n4p85 URL: http://dx.doi.org/10.5539/apr.v5n4p85 Abstract It is shown how Einstein achieves the illusion of lightspeed invariance by employing a simple mathematical trick—and magically abolishing the aether. As if part of a "conspiracy" against man's efforts to obtain knowledge of the physical world, Nature has a “trick” of its own in providing the illusion of lightspeed invariance. The illusion works remarkably well, thanks to length contraction and clock slowing both of which are induced by absolute motion with respect to aether. Einstein’s illusion and Nature’s illusion, however, conceal the physical reality that the one-way speed of light, contrary to a strict interpretation of Einstein’s 2nd postulate, is NOT constant. Keywords: Albert Einstein, DSSU aether theory, special relativity, speed of light, 2nd postulate, absolute motion, absolute space, aether, length contraction, clock retardation As Einstein regarded the situation, the [aether] experiments, seemed to indicate a "conspiracy" on the part of nature against man's efforts to obtain knowledge of the physical world. -
Hypercomplex Algebras and Their Application to the Mathematical
Hypercomplex Algebras and their application to the mathematical formulation of Quantum Theory Torsten Hertig I1, Philip H¨ohmann II2, Ralf Otte I3 I tecData AG Bahnhofsstrasse 114, CH-9240 Uzwil, Schweiz 1 [email protected] 3 [email protected] II info-key GmbH & Co. KG Heinz-Fangman-Straße 2, DE-42287 Wuppertal, Deutschland 2 [email protected] March 31, 2014 Abstract Quantum theory (QT) which is one of the basic theories of physics, namely in terms of ERWIN SCHRODINGER¨ ’s 1926 wave functions in general requires the field C of the complex numbers to be formulated. However, even the complex-valued description soon turned out to be insufficient. Incorporating EINSTEIN’s theory of Special Relativity (SR) (SCHRODINGER¨ , OSKAR KLEIN, WALTER GORDON, 1926, PAUL DIRAC 1928) leads to an equation which requires some coefficients which can neither be real nor complex but rather must be hypercomplex. It is conventional to write down the DIRAC equation using pairwise anti-commuting matrices. However, a unitary ring of square matrices is a hypercomplex algebra by definition, namely an associative one. However, it is the algebraic properties of the elements and their relations to one another, rather than their precise form as matrices which is important. This encourages us to replace the matrix formulation by a more symbolic one of the single elements as linear combinations of some basis elements. In the case of the DIRAC equation, these elements are called biquaternions, also known as quaternions over the complex numbers. As an algebra over R, the biquaternions are eight-dimensional; as subalgebras, this algebra contains the division ring H of the quaternions at one hand and the algebra C ⊗ C of the bicomplex numbers at the other, the latter being commutative in contrast to H. -
Experimental Determination of the Speed of Light by the Foucault Method
Experimental Determination of the Speed of Light by the Foucault Method R. Price and J. Zizka University of Arizona The speed of light was measured using the Foucault method of reflecting a beam of light from a rotating mirror to a fixed mirror and back creating two separate reflected beams with an angular displacement that is related to the time that was required for the light beam to travel a given distance to the fixed mirror. By taking measurements relating the displacement of the two light beams and the angular speed of the rotating mirror, the speed of light was found to be (3.09±0.204)x108 m/s, which is within 2.7% of the defined value for the speed of light. 1 Introduction The goal of the experiment was to experimentally measure the speed of light, c, in a vacuum by using the Foucault method for measuring the speed of light. Although there are many experimental methods available to measure the speed of light, the underlying principle behind all methods on the simple kinematic relationship between constant velocity, distance and time given below: D c = (1) t In all forms of the experiment, the objective is to measure the time required for the light to travel a given distance. The large magnitude of the speed of light prevents any direct measurements of the time a light beam going across a given distance similar to kinematic experiments. Galileo himself attempted such an experiment by having two people hold lights across a distance. One of the experiments would put out their light and when the second observer saw the light cease, they would put out theirs. -
Albert Einstein's Key Breakthrough — Relativity
{ EINSTEIN’S CENTURY } Albert Einstein’s key breakthrough — relativity — came when he looked at a few ordinary things from a different perspective. /// BY RICHARD PANEK Relativity turns 1001 How’d he do it? This question has shadowed Albert Einstein for a century. Sometimes it’s rhetorical — an expression of amazement that one mind could so thoroughly and fundamentally reimagine the universe. And sometimes the question is literal — an inquiry into how Einstein arrived at his special and general theories of relativity. Einstein often echoed the first, awestruck form of the question when he referred to the mind’s workings in general. “What, precisely, is ‘thinking’?” he asked in his “Autobiographical Notes,” an essay from 1946. In somebody else’s autobiographical notes, even another scientist’s, this question might have been unusual. For Einstein, though, this type of question was typical. In numerous lectures and essays after he became famous as the father of relativity, Einstein began often with a meditation on how anyone could arrive at any subject, let alone an insight into the workings of the universe. An answer to the literal question has often been equally obscure. Since Einstein emerged as a public figure, a mythology has enshrouded him: the lone- ly genius sitting in the patent office in Bern, Switzerland, thinking his little thought experiments until one day, suddenly, he has a “Eureka!” moment. “Eureka!” moments young Einstein had, but they didn’t come from nowhere. He understood what scientific questions he was trying to answer, where they fit within philosophical traditions, and who else was asking them. -
Ponderable Aethers, Which Arise in fixed Clock Theories
Prepared for submission to JCAP Ponderable aether Antony J. Speranzaa,b aMaryland Center for Fundamental Physics, University of Maryland, College Park, Maryland 20742 bPerimeter Institute for Theoretical Physics, 31 Caroline Street North, ON N2L 2Y5, Canada E-mail: [email protected] Abstract. We consider a Lorentz-violating theory of gravity where the aether vector is taken to be nondynamical. This “ponderable aether theory” is almost the same as Einstein- aether theory (where the aether vector is dynamical), but involves additional integration constants arising due to the loss of initial value constraints. One of these produces an effective energy density for the aether fluid, similar to the appearance of dark matter in projectable Hoˇrava gravity and the mimetic dark matter theory. Here we investigate the extent to which this energy density can reproduce the phenomenology of dark matter. Although it is indistinguishable from cold dark matter in homogeneous, isotropic cosmology, it encounters phenomenological problems in both spherically symmetric configurations and cosmological perturbations. Furthermore, inflationary considerations lead us to expect a tiny value for the ponderable aether energy density today unless a sourcing effect is added to the theory. The theory then effectively reduces to dynamical Einstein-aether theory, rendering moot the question of whether an aether must be dynamical in order to be consistent. arXiv:1504.03305v1 [gr-qc] 13 Apr 2015 Contents 1 Introduction 1 2 Lorentz-violating structures 3 2.1 Dynamics for Lorentz-violation -
History of the Speed of Light ( C )
History of the Speed of Light ( c ) Jennifer Deaton and Tina Patrick Fall 1996 Revised by David Askey Summer RET 2002 Introduction The speed of light is a very important fundamental constant known with great precision today due to the contribution of many scientists. Up until the late 1600's, light was thought to propagate instantaneously through the ether, which was the hypothetical massless medium distributed throughout the universe. Galileo was one of the first to question the infinite velocity of light, and his efforts began what was to become a long list of many more experiments, each improving the Is the Speed of Light Infinite? • Galileo’s Simplicio, states the Aristotelian (and Descartes) – “Everyday experience shows that the propagation of light is instantaneous; for when we see a piece of artillery fired at great distance, the flash reaches our eyes without lapse of time; but the sound reaches the ear only after a noticeable interval.” • Galileo in Two New Sciences, published in Leyden in 1638, proposed that the question might be settled in true scientific fashion by an experiment over a number of miles using lanterns, telescopes, and shutters. 1667 Lantern Experiment • The Accademia del Cimento of Florence took Galileo’s suggestion and made the first attempt to actually measure the velocity of light. – Two people, A and B, with covered lanterns went to the tops of hills about 1 mile apart. – First A uncovers his lantern. As soon as B sees A's light, he uncovers his own lantern. – Measure the time from when A uncovers his lantern until A sees B's light, then divide this time by twice the distance between the hill tops. -
Discussion on the Relationship Among the Relative Speed, the Absolute Speed and the Rapidity Yingtao Yang * [email protected]
Discussion on the Relationship Among the Relative Speed, the Absolute Speed and the Rapidity Yingtao Yang * [email protected] Abstract: Through discussion on the physical meaning of the rapidity in the special relativity, this paper arrived at the conclusion that the rapidity is the ratio between absolute speed and the speed of light in vacuum. At the same time, the mathematical relations amongst rapidity, relative speed, and absolute speed were derived. In addition, through the use of the new definition of rapidity, the Lorentz transformation in special relativity can be expressed using the absolute speed of Newtonian mechanics, and be applied to high energy physics. Keywords: rapidity; relative speed; absolute speed; special theory of relativity In the special theory of relativity, Lorentz transformations between an inertial frame of reference (x, t) at rest and a moving inertial frame of reference (x′, t′) can be expressed by x = γ(x′ + 푣t′) (1) ′ 푣 ′ (2) t = γ(t + 2 x ) c0 1 Where (3) γ = 푣 √1−( )2 C0 푣 is the relative speed between the two inertial frames of reference (푣 < c0). c0 is the speed of light in vacuum. Lorentz transformations can be expressed by hyperbolic functions [1] [2] x cosh(φ) sinh(φ) x′ ( ) = ( ) ( ′) (4) c0t sinh(φ) cosh(φ) c0t 1 Where ( ) (5) cosh φ = 푣 √1−( )2 C0 Hyperbolic angle φ is called rapidity. Based on the properties of hyperbolic function 푣 tanh(φ) = (6) c0 From the above equation, the definition of rapidity can be obtained [3] 1 / 5 푣 φ = artanh ( ) (7) c0 However, the definition of rapidity was derived directly by a mathematical equation (6). -
Basic Concepts for a Fundamental Aether Theory1
BASIC CONCEPTS FOR A FUNDAMENTAL AETHER THEORY1 Joseph Levy 4 square Anatole France, 91250 St Germain-lès-Corbeil, France E-mail: [email protected] 55 Pages, 8 figures, Subj-Class General physics ABSTRACT In the light of recent experimental and theoretical data, we go back to the studies tackled in previous publications [1] and develop some of their consequences. Some of their main aspects will be studied in further detail. Yet this text remains self- sufficient. The questions asked following these studies will be answered. The consistency of these developments in addition to the experimental results, enable to strongly support the existence of a preferred aether frame and of the anisotropy of the one-way speed of light in the Earth frame. The theory demonstrates that the apparent invariance of the speed of light results from the systematic measurement distortions entailed by length contraction, clock retardation and the synchronization procedures with light signals or by slow clock transport. Contrary to what is often believed, these two methods have been demonstrated to be equivalent by several authors [1]. The compatibility of the relativity principle with the existence of a preferred aether frame and with mass-energy conservation is discussed and the relation existing between the aether and inertial mass is investigated. The experimental space-time transformations connect co-ordinates altered by the systematic measurement distortions. Once these distortions are corrected, the hidden variables they conceal are disclosed. The theory sheds light on several points of physics which had not found a satisfactory explanation before. (Further important comments will be made in ref [1d]). -
Lecture 21: the Doppler Effect
Matthew Schwartz Lecture 21: The Doppler effect 1 Moving sources We’d like to understand what happens when waves are produced from a moving source. Let’s say we have a source emitting sound with the frequency ν. In this case, the maxima of the 1 amplitude of the wave produced occur at intervals of the period T = ν . If the source is at rest, an observer would receive these maxima spaced by T . If we draw the waves, the maxima are separated by a wavelength λ = Tcs, with cs the speed of sound. Now, say the source is moving at velocity vs. After the source emits one maximum, it moves a distance vsT towards the observer before it emits the next maximum. Thus the two successive maxima will be closer than λ apart. In fact, they will be λahead = (cs vs)T apart. The second maximum will arrive in less than T from the first blip. It will arrive with− period λahead cs vs Tahead = = − T (1) cs cs The frequency of the blips/maxima directly ahead of the siren is thus 1 cs 1 cs νahead = = = ν . (2) T cs vs T cs vs ahead − − In other words, if the source is traveling directly towards us, the frequency we hear is shifted c upwards by a factor of s . cs − vs We can do a similar calculation for the case in which the source is traveling directly away from us with velocity v. In this case, in between pulses, the source travels a distance T and the old pulse travels outwards by a distance csT . -
Einstein's Special Relativity
Classical Relativity Einstein’s Special Relativity 0 m/s 1,000,000 m/s 1,000,000 m/s ■ How fast is Spaceship A approaching Spaceship B? 300,000,000 m/s ■ Both Spaceships see the other approaching at 2,000,000 m/s. ■ This is Classical Relativity. 1,000,000 m/s ● Both spacemen measure the speed of the approaching ray of light. Animated cartoons by Adam Auton ● How fast do they measure the speed of light to be? Special Relativity Postulates of Special Relativity ● Stationary Man st ● 1 Postulate – traveling at 300,000,000 m/s – The laws of nature are the same in all uniformly ● Man traveling at 1,000,000 m/s moving frames of reference. – traveling at 301,000,000 m/s ? ● Uniform motion – in a straight line at a constant speed ● Ex. Passenger on a perfectly smooth train No! All observers measure the SAME speed for light. – Sees a train on the next track moving by the window ● Cannot tell which train is moving – If there are no windows on the train ● No experiment can determine if you are moving with uniform velocity or are at rest in the station! ● Ex. Coffee pours the same on an airplane in flight or on the ground. Combining “Everyday” Velocities The Speed of Light ● Imagine that you are firing a gun. How do the speeds of the bullet compare if you are: ● How does the measured speed of light vary in – At rest with respect to the target? each example to the – Running towards the target? right? – Running away from the target? 1 The Speed of Light Postulates (cont.) st ● 1 Postulate ● How does the measured speed of light vary in – It impossible -
Measuring the One-Way Speed of Light
Applied Physics Research; Vol. 10, No. 6; 2018 ISSN 1916-9639 E-ISSN 1916-9647 Published by Canadian Center of Science and Education Measuring the One-Way Speed of Light Kenneth William Davies1 1 New Westminster, British Columbia, Canada Correspondence: Kenneth William Davies, New Westminster, British Columbia, Canada. E-mail: [email protected] Received: October 18, 2018 Accepted: November 9, 2018 Online Published: November 30, 2018 doi:10.5539/apr.v10n6p45 URL: https://doi.org/10.5539/apr.v10n6p45 Abstract This paper describes a method for determining the one-way speed of light. My thesis is that the one-way speed of light is NOT constant in a moving frame of reference, and that the one-way speed of light in any moving frame of reference is anisotropic, in that its one-way measured speed varies depending on the direction of travel of light relative to the direction of travel and velocity of the moving frame of reference. Using the disclosed method for measuring the one-way speed of light, a method is proposed for how to use this knowledge to synchronize clocks, and how to calculate the absolute velocity and direction of movement of a moving frame of reference through absolute spacetime using the measured one-way speed of light as the only point of reference. Keywords: One-Way Speed of Light, Clock Synchronization, Absolute Space and Time, Lorentz Factor 1. Introduction The most abundant particle in the universe is the photon. A photon is a massless quanta emitted by an electron orbiting an atom. A photon travels as a wave in a straight line through spacetime at the speed of light, and collapses to a point when absorbed by an electron orbiting an atom.