A No-Shape-Substance is the propagating medium of light

Size: px
Start display at page:

Download "A No-Shape-Substance is the propagating medium of light"

Transcription

1 A No-Shape-Substane is the propagating medium of light The First Part of New Physis Ji Qi, Yinling Jiang Department of physis, Shool of letroni ngineering, Northeast Petroleum University, No. 199, Fazhan Road, Daqing, Heilongjiang, , P. R. China. -mail: Abstrat:Through analyzing a variety of physial phenomena, the author proposes that there exists a speial kind of substane No-Shape-Substane. The author believes that this matter is the medium through whih light propagates and the foundation on whih all laws of motion an be built. On the same foundation we an explain a great many physial experiments as well. The No-Shape-Substane is an atual substane with mass in another state. The No-Shape-Substane is a more profound element in the nature, whih an make people know the nature more thoroughly, as well as make the physis more objetive, more natural and more logial. Keywords: the No-Shape-Substane, the Shape-Substane, the No-Shape-Substane Spae, the Mathematis Spae, Vauum 1. A Brief Introdution for a No-Shape-Substane 1.1 No-Shape-Substane In the natural world, apart from all kinds of known substanes, there exists largely a speial kind of substane a No-Shape-Substane. For the purpose of distintion, we all the matter that we have already known a Shape-Substane. A Shape-Substane is visible while a No-Shape-Substane is invisible. A Shape-Substane has its struture and is tangible, but the No-Shape-Substane is ontrary. For example, an atom or an eletron is a Shape-Substane. If an eletron is analogous to a big tree, a No-Shape-Substane is analogous to the air that flows at will among the branhes of the tree. Different from the ommonly known matter, a [1, ] 1

2 No-Shape-Substane exists in another speial state and is muh tinier than the ommon matter. The universe is a huge oean full of No-Shape-Substane and all the Shape-Substane exist in the same oean. Sine the No-Shape-Substane exists on a dispersed state, it logially has density, whih is usually denoted by S. (The SI unit for density is kg/m 3.) Giving an example that is familiar to us. hen pulling a small ball in the glyerin, the glyerin on the surfae of the ball an be arried, while the glyerin attahed losely to the surfae of the ball an be arried ompletely. If the small ball is displaed by a basketball or the earth, the influene on it will be different. The bigger the body is, the greater the influene is. Sine there is an attrating fore between the Shape-Substane and the No-Shape-Substane, the movement of the Shape-Substane an also arry the No- Shape-Substane. The bigger the Shape-Substane is, the greater its influene on the No-Shape-Substane existing in the spae is. The nearer to the body the No-Shape-Substane is, the greater the influene from the body on the No-Shape-Substane existing in the spae is. 1. The No-Shape-Substane on the arth ell, let s onsider the arth at a marosopi angle. The arth is in an oean of No-Shape-Substane. The movement of the arth an arry the No-Shape-Substane near it. Moreover, the No-Shape-Substane is arried by the arth on the arth s surfae while in the far distane from the arth, the No-Shape-Substane an not be arried by the arth at all. As shown in figure 1.1. The veloity of the No-Shape-Substane relative to the earth inreases from zero to 30 kilometers per seond gradually as the inrease in the distane from the earth. The arth is not likely to bring ompletely the No-Shape-Substane on the earth s surfae, when the earth is translational movement. But when rotates, it is not easier to

3 bring ompletely No-Shape-Substane on the earth s surfae. Beause the speeds of all the points on the surfae are ompletely different, even though that of a point is different at the different time, when the arth rotates. Are the densities of the No-Shape-Substane in the whole universe uniform? No. Beause there is some attrating fore between the Shape-Substane and the Fig. 1.1 the veloity distribution of the No-Shape-Substane relative to the earth No-Shape-Substane, the density of the No-Shape-Substane is greater to some extent in the plae where the Shape-Substane has more aumulation. That is, the density of the No-Shape-Substane on the earth s surfae is greater than that of far away from the earth. The No-Shape-Substane an be superimposed. The total density of the No-Shape-Substane in spae equals the algebrai sum of that of all objets. The total density of the No-Shape-Substane in spae is Let s researh the problem step by step. S = S1 + S + S3 + (1.1) e say that the No-Shape-Substane is arried ompletely by the earth. ell then, when a train passes by us, is the No-Shape-Substane driven obviously in the plae where we are? e know that the train is muh smaller than the earth. hether the train exists or not, it puts little influene on the state of the spae where we are. The influene that the train exerts on the No-Shape-Substane in the spae where we are an be negleted ompletely. It is the same in the arriage. But it is a problem of another level to the inside of the matter, suh as in water or in glass, sine it s muh nearer to the moleule or the atom. The density of the 3

4 No-Shape-Substane inside a body annot be negleted. Inside water, the total density of the No-Shape-Substane is the superposition of that of the vauum in the earth s surfae and that orresponding to the water. That is S = S + S. e know that it needs to establish a spatial referene system to disuss a physial question. The Shape-Substane has a veloity relative to a spatial referene system, and it is the same with respet to the No-Shape-Substane, too. The veloity of the total No-Shape-Substane equals the full-weighted superposition of the veloity and the density of every objet in spae. That is r r r r S1υ 1 + Sυ + S3υ 3 + υ = S + S + S (1.) of Still we take the flow of water for example. Assumed that the water has a veloity r υ relative to the spatial referene system on the earth s surfae, we probe into the veloity of the No-Shape-Substane inside the water relative to the spatial referene system on the earth s surfae. The veloity of the No-Shape-Substane orresponding to the earth is zero relative to the earth s surfae. The No-Shape-Substane orresponding to the flow of water moves together with the water, and its veloity relative to the earth s surfae is r υ.so the veloity of the total No-Shape-Substane relative to the earth s surfae an be expressed as follows r r S υ + S 0 S υ = = S + S S + S r υ 1.3 Vauum Now let s look at the ase in a vauum again. It has been thought for a long time that there was nothing in an ideal vauum, but it is not the atual ase. hat the vauum laks is only the atmospheri moleules. In fat, there exists a large amount of No-Shape-Substane in the vauum spae. And the wall of a vauum ontainer will not blok the move of the No-Shape-Substane. 4

5 If the vauum is on the earth s surfae, what permeates in it is the same No-Shape-Substane on the earth s surfae; wherefore the density of the No-Shape-Substane in the vauum is the same as that on the earth s surfae. However, if the vauum is in the osmi spae, what is dispersing in it is the No-Shape-Substane of its orresponding osmi spae; therefore the density of the No-Shape-Substane in the vauum is the same as that in the relevant osmi spae. 1.4 Physial Laws The No-Shape-Substane has very important physial properties. The No-Shape-Substane is the medium through whih light propagates. It is just beause the No-Shape-Substane is the propagating medium of the light that the No-Shape-Substane is invisible. The spae in whih the No-Shape-Substane exists is alled the No-Shape-Substane Spae or the Substane Spae for short. Opposite to the No-Shape-Substane Spae, we all the virtual and flat spae the Mathematial Spae. All the motion laws of all bodies depend on the total No-Shape-Substane spae where it exists instead of the absolutely mathematial spae. Here we onsider the following ase that a fish swims in a river and the water flows in relation to the bank. ell, to what is the fore ating on the fish and its law of motion related? The fore ating on the fish and its law of motion are losely related to the flow of water, but not to the mathematial referene system based on the bank. A body is analogous to the fish while the No-Shape-Substane is analogous to the water. The motion laws of all bodies depend on the No-Shape-Substane Spae where it exists but not diretly on the Mathematial Spae.. The Propagation Medium of light Having learned what the No-Shape-Substane is, we are now in a better position to understand what light is, and some other basi physial laws about light. There is no essential distintion between the light wave and other waves. The light wave has all the 5

6 properties as the other waves do. And the No-Shape-Substane is the propagation medium of light..1 The Propagation of Light Before analyzing any physial laws, let s make our basi onepts lear first. Newton has said, The absolute spae is essentially independent of any outside body and remains equivalent and motionless forever. The absolute, real or mathematial time, itself and to the extent of its nature, always lapses uniformly, having nothing to do with any outside body. [3] Time and spae are the standards and sales for people to learn the world, and meanwhile they are also the unshakable ornerstones of physis. My view of spae-time is ompatible with that of Newton s lassial physis. Time exists objetively and it always lapses uniformly having nothing to do with any outside body. The mathematial spae is essentially independent of any outside body and remains equivalent and motionless forever. The speed follows the superposition priniple of Galileo. Both mass (gravitational mass) and energy are onservative and an not be onverted into eah other. But the unique viewpoint on whih I don t agree with Newton s lassial physis is what the laws of motion of a body depend on is not the absolute spae but the total No-Shape-Substane Spae in whih the body exists. As mentioned above, I have given an example about the fish swimming in water and the water flowing with referene to the bank. A No-Shape-Substane is the propagation medium of light and the propagating veloity of light relative to the No-Shape-Substane is onstant. From the wave theory we an get the propagating veloity of a wave u is G u = or ρ u = or ρ u = K ρ here G and are the shear modulus and the elasti modulus of a solid respetively, K is the volume modulus of a liquid or a gas while ρ is the density of 6

7 the medium. In a word, no matter in a solid or in a liquid, the propagating veloity of a wave is always in diret proportion to the square root of the modulus of the medium and is inversely proportional to the square root of the density of the medium. Beause the No-Shape-Substane is the propagation medium of light, we an get the following relation between the speed of light and the density of the No-Shape-Substane S : = (.1) S herein and S are the modulus and density of the No-Shape-Substane respetively. The SI unit of modulus is Pa (viz. N / m ). As we all know, the speed of light in other medium suh as glass and water is lower than that in a vauum. Then how should we explain these physial fats? If we look at it from the viewpoint of the No-Shape-Substane, it will beome quite easy for us to understand. In the vauum near the earth s surfae, the density of the No-Shape-Substane is that of the earth s surfae S. Then the veloity of light in the vauum near the earth s surfae is: = (.) S In the water, the total density of No-Shape-Substane is the sum of the density of the No-Shape-Substane in the vauum near the earth s surfae and the density of the No-Shape-Substane relating to the water. That is: S = S + S Then the speed of the light in the water is: = S + S (.3) In suh medium as the glass or the water, beause the density of the No-Shape-Substane is larger than that in the vauum, the speed of light is naturally 7

8 lower than that in the vauum.. xplanation to Some Famous Physial xperiments Based on the New Physis Sine the lassial physis was very natural and harmoni, why did the theory of relativity ome into being? It s mainly beause lassial physis enountered some diffiulties and ontraditions, and even beame irreonilable to some experiments and phenomena. These experiments and phenomena mainly inlude the binary star phenomenon, the aberration phenomenon, Fizeau s experiment, Ariy s experiment and Mihelson-Morley xperiment. [3, 4, 5, 6] In the following we will explain these experiments and phenomena from a ompletely new point of view...1 Fizeau s xperiment In 1851, Fizeau onduted a very ater_out sensitive experiment. It shows that water ould slow down the motion of light. Light in water would move at a lower veloity. As shown in figure.1. The light emitted by the lamphouse S is divided into two beams of ater_in Fig..1 Fizeau s xperiment light when passing through M. One is refleted subsequently by M 3, M, M 1, and then is refleted again by M into T. Meanwhile, the other beam permeates M and then is 8

9 refleted subsequently by M 1, M and M 3, and at last arrives at T permeating M. hen traveling through the flowing water in the level tube, the former travels in the diretion opposite to the diretion of the flowing water, while the latter travels in the same diretion as that of the flowing water. At last, the two beams of light interfere in T. At the beginning of the experiment, we designate the speed of the flowing water in the level tube as zero. Beause the two beams of light have the same traveling distane, the interferene fringes are bright. Then when we inrease the speed v of the flowing water in the level tube gradually, we will observe that the interferene fringes hange alternatively between bright fringes and dark ones, whih shows that the speed of light in the flowing water hanges when the light propagates in different diretion from that of the flowing water. Furthermore, we an establish the veloity of the light propagating in the water relative to the earth. Note that the veloity of the light propagating in the water relative to the earth in Fizeau s experiment is: = ± fυ (.4) n here, n is the refrative index of water, the plus sign + applies the ondition that light travels in the same diretion as that of the flowing water in the tube, the subtration sign - applies the ondition that light travels in the opposite diretion to that of the flowing water in the tube. The dragging oeffiient of water obtained from Fizeau s experiment is f = ± 0. 00, with its value smaller than 1. It shows that water an arry light but not ompletely. How to understand Fizeau s experiments? How an water slow down the motion of light? It is the water that arries the No-Shape-Substane. So water an also arry light. In the vauum near the earth s surfae, the total No-Shape-Substane has no motion relative to the earth referene system and its density, denoted by S, is uniform. Beause the distane between moleules inside water is quite small, the density of 9

10 the No-Shape-Substane in the flowing water an not be ignored. Thus the density of the total No-Shape-Substane equals the sum of the density of the No-Shape-Substane on the earth and that in the flowing water. That is S = S + S The veloity of the No-Shape-Substane on earth with referene to the earth s surfae is zero, while the veloity of the No-Shape-Substane in the flowing water is υw relative to the earth s surfae. Then we an get the veloity of the total No-Shape-Substane moving relative to the earth s surfae from equation 1. as follows: S υ = υ + S 0 S + S If f S = S + S υ = fυ (.5) hen light propagates in water, its veloity relative to the total No-Shape-Substane spae is / n, and its veloity relative to the earth is: = n ± υ = ± fυ (.6) n It is water that arries the No-Shape-Substane.So water an also arry light. This perfetly reflets on Fizeau s experiment that showed, light was dragged by water. Below we will quantitatively alulate the dragging oeffiient of the water. As was said before, when the light travels in a ertain vauum near the earth s surfae, its veloity in the vauum an be expressed as hen light travels in water, its speed is = (.7) S = S + S (.8) e an easily get the following equation from equation (.8) and equation (.7), S = S + S 10

11 Sine f S = S + S Again replaing / n for, it follows that f 1 = 1 n (.9) Sine the refrative index of water is 1.33, we alulate the dragging oeffiient theoretially as follows f = 1 n 1 = = The dragging oeffiient of water obtained from Fizeau s experiment is f = ± Apparently, the theoretial value perfetly agrees with the experimental value... The Mihelson-Morley xperiment During the time between 1876 and 1887, Mihelson and Morley onduted experiment in an effort to find the speed of the ether wind using the Mihelson Interferometer. But the result showed that there was no so-alled ether-wind on the earth s surfae at all. How should we understand this experiment? For the Mihelson-Morley experiment, it would like to reveal the impat of global translation. The relationship of both the hanges of the stripes number N and speed of "ther" (No-Shape-Substane) relative to the surfae υ is desribed as, l υ N = λ For the υ = m s, the moving stripes number N = 0.37 an observe. 11

12 Note: The hange of number of stripes is proportional toυ. hen the speed is one sixth of that above, the hange of stripes number is one thirty-sixth of that above. If the υ = 5000 m s, the moving stripes number N = 0.01 an observe. Mihelson and Morley draw the onlusion as follows: ven if the relative veloity exists between the earth and ther, the veloity would not exeed one-fourth of orbital veloity of the earth. The value of one-fourth of orbital veloity of the earth is about 7500m/s...3 Millar experiment From the year of 190 to1904, Millar and Morley repeated the Mihelson-Morley experiment with better instruments. The result of their experiment was loser to zero than what was got by Mihelson and Morley in Later on, Millar obtained different result when onduted the experiment rather than the spae of the earth surfae. In 191, Millar repeated this experiment on Mount ilson by using the same methods as before. As a result, a positive effet of 10km/s was found, whih means light speed deviated by an amount of 10km/s. e an say that Millar s experiment has undermined the theory of relativity. ell, how should we explain the experimental positive result? [7, 8, 9] Shown in Fig. 1.1, we have analyzed previously The arth is not likely to bring ompletely the No-Shape-Substane on the earth s surfae, when the earth is translational movement. The arth is also not likely to bring ompletely the No-Shape-Substane on the high mountain, when the earth is translational movement. That means on the high mountain the No-Shape-Substane has higher speed relative to the earth. Therefore when we onduted the Mihelson-Morley experiment there, the interferene fringes would produe the speed deviation. 1

13 ..4 Light Aberration Phenomenon hen we observe a far-away star, we need hange the diretion of our telesope when seasons hange, that is, we hange the telesope's angle when earth hanges its position on its orbital ourse round the sun. The maximum angle α is about 4 10 radian in the pratial observation. Physiists used to explain the light aberration phenomenon with the theory of ether. They said that the earth moves relative to ether at a speed of 30km/s. That is to say that there is a ether wind moving at that speed on the earth s surfae. But suh an explanation is ompletely ontraditory to the zero result of Mihelson-Morley experiment onduted at the earth s surfae. Now we an explain the light aberration phenomenon naturally. As shown in figure., we suppose that the light from a star is vertially inident upon the orbit-plane of the earth at the speed of and the earth has a veloity of υ relative to the osmi spae. hen light propagates in the osmi spae far from the earth, the influene on the total No-Shape-Substane in the far distane aused by the motion of the earth is so little that it an be ignored. The light from the star will still be vertially inident upon the orbit plane of the earth at the speed of in the osmi. Beause the earth moves at a υ Substane spae of the osmi speed of υ with referene to the osmi spae, if observed from the earth, the light is α inident onto the orbit-plane of the earth at an angle of α (to the original propagation). υ The earth e an learn from the above figure that the tangent value of angle α whih is the arth Substane spae observed diretion and the original propagation diretion is Fig.. light aberration phenomenon 13

14 In this equation, if we replae υ υ tanα = and respetively with the value of the earth s orbit-speed and the value of light speed, we will follow the maximum of angle α is about 10-4 radian. The above explanation of mine perfetly aords with the result of observation...5 Airy s xperiment e know that the water an arry light in the Fizeau s experiment. People dedued that if the telesope were filled with water, there would be an aberration phenomenon different from the one when there is no water. In 1871, Sir George Airytried just that, but he still observed the same aberration phenomenon as the ase that the telesope was not filled with water. It s ontraditory with the result of light aberration phenomenon and Fizeau s experiment in the frame of ether. Now we an understand Airy s experiment naturally. As shown in figure., in this experiment we filled the telesope with water. Note that the water in the telesope has no relative motion to the earth, omparable to the absene of water, and that the water in the telesope just inreases the density of the total No-Shape-Substane in the telesope, and that the total No-Shape-Substane in the telesope is still immobile relative to the earth. After light has ome into the No-Shape-Substane spae near the earth surfae, the water there will not affet light s propagating diretion. Therefore we an still observe the same aberration phenomenon as the ase that there was no water in the telesope...6 Binary Star Phenomenon From the observation of the remote binary star system, people an tell whether the speed of light would be affeted by the light soure. People have found that the observed binary star system is always quite natural. People have never observed the phenomenon 14

15 of ghost stars. So people have onluded that the speed of light will not be affeted by the motion of the light soure. e say that the No-Shape-Substane is the propagating medium of light. The speed of light is independent from the motion of the light soure. Here let s analyze the binary star phenomenon. As shown in figure.3. The total No-Shape-Substane around a elestial body will be influened by the motion of the elestial body. Thus the two beams of light originating from point a and point b respetively have different veloities relative to the osmi spae, but the propagation time of light near elestial body is very short. However, in the remote osmi spae, the total No-Shape-Substane wouldn t be influened by the motion of the elestial body. hen light travels in the broad osmi spae, the two beams of light originating from point a and point b respetively have the same speed of propagation. Therefore the binary stars that we observed are a normal system. Fig..3 the binary star phenomenon..7 The Sagna ffet In 1911, Sagna invented a ring interferometer as shown in figure.4. A beam of light is split into two beams by beam splitter, and the beams of light are made to follow a trajetory in opposite diretions. To at as a ring the trajetory must enlose an area.on return to the point of entry, the light is allowed to exit the apparatus in suh a way that the interferene fringes are obtained on the viewing sreen. The amount of displaement of the interferene fringes in the Sagna effet is proportional to the produt of the angular veloity of the interferometer and the area enlosed by the trajetory. As shown in figure.5. Now, let s explain it as follows. To simplify the question, 15

16 we suppose the trajetory is a irular loop of radius R and the interferometer is moving in the lokwise rotating diretion around a fixed axle with an angular veloity of ω. Beause the motion of the interferometer has no effet on the total No-Shape-Substane on the Fig..4 Sagna ffet earth s surfae, the total No-Shape-Substane is motionless relative to the earth s surfae. Then the speeds of the two beams of light are both in the earth s surfae referene frame. The irumferential tangent speed of the loop is ωr. Based on the superposition priniple of speed of Galileo, we get the light speeds in the lokwise rotating diretion and the ounterlokwise rotating diretion respetively in the referene system where the loop is as follows Fig..5 υo = ωr υounter = + ωr The travel times of the two beams in the loop are t o = L πr υ = ωr o t ounter = πr πr υ = + ωr ounter here L = πr is the perimeter of the loop. 16

17 The differene between the travel times is 1 1 t = to tounter = π R( ) ωr + ωr t = 4πR ω ω R (1 ) 4πR ω Ignore the seondary lesser time, we get t =, Substitute the S for πr whih indiates the area enlosed by the loop, the equation will be 4Sω t = (.10) 4Sω The optial path differene is = t = So the amount of displaement of the interferene fringes orresponding to the optial path differene is 4Sω N = = λ λ This equation applies to any enlosed loop, not neessarily irular. e have explained the Sagna effet well. The Segna effet has been employed in many pratial ways. For example, a fiber gyrosope has been suessfully utilized in the field of aviation and spae flight. It was one of the highly developed gyrosopes in the last 0 years. For the fiber gyrosope, when light propagates in the medium, its speed is relevant to both the refrative rate and the tangent speed of the medium. Then how should we understand the Sagna effet and get the equation (.10) onforming to the fat? As shown in figure.6. The radius of the fiber oil is R. Both the light soure and the detetor are at point A. The devie is moving in the lokwise-rotating diretion with an angular speed of ω, so the tangent Fig..6 17

18 speed of the oil isω R. The total No-Shape-Substane inside the fiber will also move in the lokwise-rotating diretion beause of the arrying ability of the fiber. From the equation disussed in Fizeau s experiment, we get the tangent speed of the total No-Shape-Substane relative to the earth s surfae as follows: 1 υ = f ωr = (1 ) ωr n But the total No-Shape-Substane is moving in the ounterlokwise-rotating diretion relative to the rotating referene system where the interferometer is, so its tangent speed relative to the rotating referene system is: 1 υ = ωr υ = ωr n hen the light propagates in the lokwise and ounterlokwise diretion, its tangent speeds relative to the interferometer are υ 1 and υ respetively. The time differene is 1 υ1 = ω R n n 1 υ = + ω R n n πr πr 4πR ω t = = υ1 υ ω R 1 n 4πR ω Ignoring the seondary lesser time, we get t =, and doing the same substitution as before, we get the equation as follows 4Sω t = (.11) It has the same form as the equation (.10) in vauum. The orresponding phase differene is: tn t 8πSω φ = π = π = λ λ λ n 18

19 here, λ is the wavelength of laser in vauum, λn and n are the wavelength and the speed of laser light in the medium respetively. If the fiber oil has N irles, its phase shift is: 8πSNω φ = λ After measuring the value of φ aording to the phenomenon of interferometer of light, we an alulate the value of the angular speedω. So far we have explained the Sagna effet in the fiber gyrosope well. Dear friends. If only we rethink about the physial laws arefully, basing on objetivity, nature and reality, all the experiments will beome natural, onordant and harmoni. Referene: [1] Ji Qi. New Physis [M]. Harbin: Publishing House of Northeast Forestry University, 006. [] Ji Qi. The review on the basi physial laws the New Physis [J], Phys. ssays 1, 163 (008). [3] Guangjiong Ni, Hongfang Li, Modern Physis, Shanghai Siene and Tehnology Publishing Company, [4] Shujie Tan, Hua ang, Important xperiments on Physis, Siene and Tehnology Literature Company, [5] Yiling Guo, Huijun Shen, Famous Classial Physis xperiments, Beijing Siene and Tehnology Publishing Company, [6] Yuanzhong Zhang, On the xperimental Basi of Theory of Speial Relativity,Siene Press, [7] instein Colleted dition, Hunan Siene and Tehnology Publishing Company, 00. [8] Bolian Cai, Speial Relativity Theory, Higher duation Press, [9] enwei Ma, Physis, Higher duation Press,

Relativity in Classical Physics

Relativity in Classical Physics Relativity in Classial Physis Main Points Introdution Galilean (Newtonian) Relativity Relativity & Eletromagnetism Mihelson-Morley Experiment Introdution The theory of relativity deals with the study of

More information

A No-Shape-Substance is the foundation. all Physics laws depend on

A No-Shape-Substance is the foundation. all Physics laws depend on A No-Shape-Substane is the foundation all Physis laws depend on The Seond Part of New Physis Ji Qi,Yinling Jiang Department of physis, Shool of Eletroni Engineering, Northeast Petroleum University, No.

More information

PhysicsAndMathsTutor.com 1

PhysicsAndMathsTutor.com 1 PhysisAndMathsTutor.om. (a (i beam splitter [or semi-silvered mirror] (ii a ompensator [or a glass blok] allows for the thikness of the (semi-silvered mirror to obtain equal optial path lengths in the

More information

The gravitational phenomena without the curved spacetime

The gravitational phenomena without the curved spacetime The gravitational phenomena without the urved spaetime Mirosław J. Kubiak Abstrat: In this paper was presented a desription of the gravitational phenomena in the new medium, different than the urved spaetime,

More information

The Laws of Acceleration

The Laws of Acceleration The Laws of Aeleration The Relationships between Time, Veloity, and Rate of Aeleration Copyright 2001 Joseph A. Rybzyk Abstrat Presented is a theory in fundamental theoretial physis that establishes the

More information

CHAPTER 26 The Special Theory of Relativity

CHAPTER 26 The Special Theory of Relativity CHAPTER 6 The Speial Theory of Relativity Units Galilean-Newtonian Relativity Postulates of the Speial Theory of Relativity Simultaneity Time Dilation and the Twin Paradox Length Contration Four-Dimensional

More information

Explain the phenomenon of neutrino superluminal

Explain the phenomenon of neutrino superluminal Explain the phenomenon of neutrino superluminal Ji Qi, Wei Feng Ni, Yin Ling Jiang Department of physics, School of Electronic Engineering, Northeast Petroleum University, No. 199, Fazhan Road, Daqing,

More information

Chapter 26 Lecture Notes

Chapter 26 Lecture Notes Chapter 26 Leture Notes Physis 2424 - Strauss Formulas: t = t0 1 v L = L0 1 v m = m0 1 v E = m 0 2 + KE = m 2 KE = m 2 -m 0 2 mv 0 p= mv = 1 v E 2 = p 2 2 + m 2 0 4 v + u u = 2 1 + vu There were two revolutions

More information

Critical Reflections on the Hafele and Keating Experiment

Critical Reflections on the Hafele and Keating Experiment Critial Refletions on the Hafele and Keating Experiment W.Nawrot In 1971 Hafele and Keating performed their famous experiment whih onfirmed the time dilation predited by SRT by use of marosopi loks. As

More information

The Concept of Mass as Interfering Photons, and the Originating Mechanism of Gravitation D.T. Froedge

The Concept of Mass as Interfering Photons, and the Originating Mechanism of Gravitation D.T. Froedge The Conept of Mass as Interfering Photons, and the Originating Mehanism of Gravitation D.T. Froedge V04 Formerly Auburn University Phys-dtfroedge@glasgow-ky.om Abstrat For most purposes in physis the onept

More information

DO PHYSICS ONLINE. SPECIAL RELATIVITY Frames of Reference

DO PHYSICS ONLINE. SPECIAL RELATIVITY Frames of Reference DO PHYSICS ONLINE SPACE SPECIAL RELATIVITY Frames of Referene Spae travel Apollo 11 spaeraft: Earth Moon v ~ 40x10 3 km.h -1 Voyager spaeraft: v ~ 60x10 3 km.h -1 (no sling shot effet) Ulysses spaeraft:

More information

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion

Millennium Relativity Acceleration Composition. The Relativistic Relationship between Acceleration and Uniform Motion Millennium Relativity Aeleration Composition he Relativisti Relationship between Aeleration and niform Motion Copyright 003 Joseph A. Rybzyk Abstrat he relativisti priniples developed throughout the six

More information

Physical Laws, Absolutes, Relative Absolutes and Relativistic Time Phenomena

Physical Laws, Absolutes, Relative Absolutes and Relativistic Time Phenomena Page 1 of 10 Physial Laws, Absolutes, Relative Absolutes and Relativisti Time Phenomena Antonio Ruggeri modexp@iafria.om Sine in the field of knowledge we deal with absolutes, there are absolute laws that

More information

Lecture 3 - Lorentz Transformations

Lecture 3 - Lorentz Transformations Leture - Lorentz Transformations A Puzzle... Example A ruler is positioned perpendiular to a wall. A stik of length L flies by at speed v. It travels in front of the ruler, so that it obsures part of the

More information

The Special Theory of Relativity

The Special Theory of Relativity The Speial Theory of Relatiity Galilean Newtonian Relatiity Galileo Galilei Isaa Newton Definition of an inertial referene frame: One in whih Newton s first law is alid. onstant if F0 Earth is rotating

More information

Wavetech, LLC. Ultrafast Pulses and GVD. John O Hara Created: Dec. 6, 2013

Wavetech, LLC. Ultrafast Pulses and GVD. John O Hara Created: Dec. 6, 2013 Ultrafast Pulses and GVD John O Hara Created: De. 6, 3 Introdution This doument overs the basi onepts of group veloity dispersion (GVD) and ultrafast pulse propagation in an optial fiber. Neessarily, it

More information

Wave Propagation through Random Media

Wave Propagation through Random Media Chapter 3. Wave Propagation through Random Media 3. Charateristis of Wave Behavior Sound propagation through random media is the entral part of this investigation. This hapter presents a frame of referene

More information

THE REFRACTION OF LIGHT IN STATIONARY AND MOVING REFRACTIVE MEDIA

THE REFRACTION OF LIGHT IN STATIONARY AND MOVING REFRACTIVE MEDIA HDRONIC JOURNL 24, 113-129 (2001) THE REFRCTION OF LIGHT IN STTIONRY ND MOVING REFRCTIVE MEDI C. K. Thornhill 39 Crofton Road Orpington, Kent, BR6 8E United Kingdom Reeived Deember 10, 2000 Revised: Marh

More information

Searching for Earth s Trajectory in the Cosmos

Searching for Earth s Trajectory in the Cosmos Apeiron, Vol. 9, No. 4, Otober 00 67 Searhing for Earth s Trajetory in the Cosmos Úlpio Nasimento (Researher retired from Laboratório Naional de Engenharia Civil LNEC). Av. de Roma, -5º-Dto., 1000-65 Lisboa,

More information

Simple Considerations on the Cosmological Redshift

Simple Considerations on the Cosmological Redshift Apeiron, Vol. 5, No. 3, July 8 35 Simple Considerations on the Cosmologial Redshift José Franiso Garía Juliá C/ Dr. Maro Mereniano, 65, 5. 465 Valenia (Spain) E-mail: jose.garia@dival.es Generally, the

More information

arxiv:gr-qc/ v2 6 Feb 2004

arxiv:gr-qc/ v2 6 Feb 2004 Hubble Red Shift and the Anomalous Aeleration of Pioneer 0 and arxiv:gr-q/0402024v2 6 Feb 2004 Kostadin Trenčevski Faulty of Natural Sienes and Mathematis, P.O.Box 62, 000 Skopje, Maedonia Abstrat It this

More information

Introduction to Quantum Chemistry

Introduction to Quantum Chemistry Chem. 140B Dr. J.A. Mak Introdution to Quantum Chemistry Without Quantum Mehanis, how would you explain: Periodi trends in properties of the elements Struture of ompounds e.g. Tetrahedral arbon in ethane,

More information

Aharonov-Bohm effect. Dan Solomon.

Aharonov-Bohm effect. Dan Solomon. Aharonov-Bohm effet. Dan Solomon. In the figure the magneti field is onfined to a solenoid of radius r 0 and is direted in the z- diretion, out of the paper. The solenoid is surrounded by a barrier that

More information

Relativistic Addition of Velocities *

Relativistic Addition of Velocities * OpenStax-CNX module: m42540 1 Relativisti Addition of Veloities * OpenStax This work is produed by OpenStax-CNX and liensed under the Creative Commons Attribution Liense 3.0 Abstrat Calulate relativisti

More information

Special and General Relativity

Special and General Relativity 9/16/009 Speial and General Relativity Inertial referene frame: a referene frame in whih an aeleration is the result of a fore. Examples of Inertial Referene Frames 1. This room. Experiment: Drop a ball.

More information

Particle-wave symmetry in Quantum Mechanics And Special Relativity Theory

Particle-wave symmetry in Quantum Mechanics And Special Relativity Theory Partile-wave symmetry in Quantum Mehanis And Speial Relativity Theory Author one: XiaoLin Li,Chongqing,China,hidebrain@hotmail.om Corresponding author: XiaoLin Li, Chongqing,China,hidebrain@hotmail.om

More information

Einstein s Three Mistakes in Special Relativity Revealed. Copyright Joseph A. Rybczyk

Einstein s Three Mistakes in Special Relativity Revealed. Copyright Joseph A. Rybczyk Einstein s Three Mistakes in Speial Relativity Revealed Copyright Joseph A. Rybzyk Abstrat When the evidene supported priniples of eletromagneti propagation are properly applied, the derived theory is

More information

Relativity fundamentals explained well (I hope) Walter F. Smith, Haverford College

Relativity fundamentals explained well (I hope) Walter F. Smith, Haverford College Relativity fundamentals explained well (I hope) Walter F. Smith, Haverford College 3-14-06 1 Propagation of waves through a medium As you ll reall from last semester, when the speed of sound is measured

More information

arxiv: v1 [physics.gen-ph] 5 Jan 2018

arxiv: v1 [physics.gen-ph] 5 Jan 2018 The Real Quaternion Relativity Viktor Ariel arxiv:1801.03393v1 [physis.gen-ph] 5 Jan 2018 In this work, we use real quaternions and the basi onept of the final speed of light in an attempt to enhane the

More information

Collinear Equilibrium Points in the Relativistic R3BP when the Bigger Primary is a Triaxial Rigid Body Nakone Bello 1,a and Aminu Abubakar Hussain 2,b

Collinear Equilibrium Points in the Relativistic R3BP when the Bigger Primary is a Triaxial Rigid Body Nakone Bello 1,a and Aminu Abubakar Hussain 2,b International Frontier Siene Letters Submitted: 6-- ISSN: 9-8, Vol., pp -6 Aepted: -- doi:.8/www.sipress.om/ifsl.. Online: --8 SiPress Ltd., Switzerland Collinear Equilibrium Points in the Relativisti

More information

Towards an Absolute Cosmic Distance Gauge by using Redshift Spectra from Light Fatigue.

Towards an Absolute Cosmic Distance Gauge by using Redshift Spectra from Light Fatigue. Towards an Absolute Cosmi Distane Gauge by using Redshift Spetra from Light Fatigue. Desribed by using the Maxwell Analogy for Gravitation. T. De Mees - thierrydemees @ pandora.be Abstrat Light is an eletromagneti

More information

Investigation of the de Broglie-Einstein velocity equation s. universality in the context of the Davisson-Germer experiment. Yusuf Z.

Investigation of the de Broglie-Einstein velocity equation s. universality in the context of the Davisson-Germer experiment. Yusuf Z. Investigation of the de Broglie-instein veloity equation s universality in the ontext of the Davisson-Germer experiment Yusuf Z. UMUL Canaya University, letroni and Communiation Dept., Öğretmenler Cad.,

More information

TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER

TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER (No general ausality without superluminal veloities) by Dr. Tamas Lajtner Correspondene via web site: www.lajtnemahine.om ABSTRACT...2 1. SPACETIME

More information

3 Tidal systems modelling: ASMITA model

3 Tidal systems modelling: ASMITA model 3 Tidal systems modelling: ASMITA model 3.1 Introdution For many pratial appliations, simulation and predition of oastal behaviour (morphologial development of shorefae, beahes and dunes) at a ertain level

More information

INTRO VIDEOS. LESSON 9.5: The Doppler Effect

INTRO VIDEOS. LESSON 9.5: The Doppler Effect DEVIL PHYSICS BADDEST CLASS ON CAMPUS IB PHYSICS INTRO VIDEOS Big Bang Theory of the Doppler Effet Doppler Effet LESSON 9.5: The Doppler Effet 1. Essential Idea: The Doppler Effet desribes the phenomenon

More information

arxiv:physics/ v1 [physics.class-ph] 8 Aug 2003

arxiv:physics/ v1 [physics.class-ph] 8 Aug 2003 arxiv:physis/0308036v1 [physis.lass-ph] 8 Aug 003 On the meaning of Lorentz ovariane Lszl E. Szab Theoretial Physis Researh Group of the Hungarian Aademy of Sienes Department of History and Philosophy

More information

TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER

TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER TWO WAYS TO DISTINGUISH ONE INERTIAL FRAME FROM ANOTHER (WHY IS THE SPEED OF LIGHT CONSTANT?) Dr. Tamas Lajtner Correspondene via web site: www.lajtnemahine.om. ABSTRACT... 2 2. SPACETIME CONTINUUM BY

More information

General Equilibrium. What happens to cause a reaction to come to equilibrium?

General Equilibrium. What happens to cause a reaction to come to equilibrium? General Equilibrium Chemial Equilibrium Most hemial reations that are enountered are reversible. In other words, they go fairly easily in either the forward or reverse diretions. The thing to remember

More information

Relativistic Dynamics

Relativistic Dynamics Chapter 7 Relativisti Dynamis 7.1 General Priniples of Dynamis 7.2 Relativisti Ation As stated in Setion A.2, all of dynamis is derived from the priniple of least ation. Thus it is our hore to find a suitable

More information

The Lorenz Transform

The Lorenz Transform The Lorenz Transform Flameno Chuk Keyser Part I The Einstein/Bergmann deriation of the Lorentz Transform I follow the deriation of the Lorentz Transform, following Peter S Bergmann in Introdution to the

More information

9 Geophysics and Radio-Astronomy: VLBI VeryLongBaseInterferometry

9 Geophysics and Radio-Astronomy: VLBI VeryLongBaseInterferometry 9 Geophysis and Radio-Astronomy: VLBI VeryLongBaseInterferometry VLBI is an interferometry tehnique used in radio astronomy, in whih two or more signals, oming from the same astronomial objet, are reeived

More information

Where as discussed previously we interpret solutions to this partial differential equation in the weak sense: b

Where as discussed previously we interpret solutions to this partial differential equation in the weak sense: b Consider the pure initial value problem for a homogeneous system of onservation laws with no soure terms in one spae dimension: Where as disussed previously we interpret solutions to this partial differential

More information

THEORETICAL PROBLEM No. 3 WHY ARE STARS SO LARGE?

THEORETICAL PROBLEM No. 3 WHY ARE STARS SO LARGE? THEORETICAL PROBLEM No. 3 WHY ARE STARS SO LARGE? The stars are spheres of hot gas. Most of them shine beause they are fusing hydrogen into helium in their entral parts. In this problem we use onepts of

More information

MOVING OBJECTS OBSERVATION THEORY IN PLACE OF SPECIAL RELATIVITY

MOVING OBJECTS OBSERVATION THEORY IN PLACE OF SPECIAL RELATIVITY Inquiry, ol. 8, no., Deember 007, pp. 4 49 IIGSS Aademi Publisher MOVING OBJECTS OBSERVATION THEORY IN PLACE OF SPECIAL RELATIVITY LI ZIFENG Petroleum Engineering Institute, Yanshan Uniersity, Qinhuangdao,

More information

The Concept of the Effective Mass Tensor in GR. The Gravitational Waves

The Concept of the Effective Mass Tensor in GR. The Gravitational Waves The Conept of the Effetive Mass Tensor in GR The Gravitational Waves Mirosław J. Kubiak Zespół Szkół Tehniznyh, Grudziądz, Poland Abstrat: In the paper [] we presented the onept of the effetive mass tensor

More information

Nuclear Shell Structure Evolution Theory

Nuclear Shell Structure Evolution Theory Nulear Shell Struture Evolution Theory Zhengda Wang (1) Xiaobin Wang () Xiaodong Zhang () Xiaohun Wang () (1) Institute of Modern physis Chinese Aademy of SienesLan Zhou P. R. China 70000 () Seagate Tehnology

More information

Name Solutions to Test 1 September 23, 2016

Name Solutions to Test 1 September 23, 2016 Name Solutions to Test 1 September 3, 016 This test onsists of three parts. Please note that in parts II and III, you an skip one question of those offered. Possibly useful formulas: F qequb x xvt E Evpx

More information

ELECTROMAGNETIC NORMAL MODES AND DISPERSION FORCES.

ELECTROMAGNETIC NORMAL MODES AND DISPERSION FORCES. ELECTROMAGNETIC NORMAL MODES AND DISPERSION FORCES. All systems with interation of some type have normal modes. One may desribe them as solutions in absene of soures; they are exitations of the system

More information

Chapter 35. Special Theory of Relativity (1905)

Chapter 35. Special Theory of Relativity (1905) Chapter 35 Speial Theory of Relatiity (1905) 1. Postulates of the Speial Theory of Relatiity: A. The laws of physis are the same in all oordinate systems either at rest or moing at onstant eloity with

More information

Class XII - Physics Electromagnetic Waves Chapter-wise Problems

Class XII - Physics Electromagnetic Waves Chapter-wise Problems Class XII - Physis Eletromagneti Waves Chapter-wise Problems Multiple Choie Question :- 8 One requires ev of energy to dissoiate a arbon monoxide moleule into arbon and oxygen atoms The minimum frequeny

More information

An Elucidation of the Symmetry of Length Contraction Predicted by the Special Theory of Relativity

An Elucidation of the Symmetry of Length Contraction Predicted by the Special Theory of Relativity pplied Phsis Researh; Vol 9, No 3; 07 ISSN 96-9639 E-ISSN 96-9647 Published b Canadian Center of Siene and Eduation n Eluidation of the Smmetr of ength Contration Predited b the Speial Theor of Relativit

More information

The Sagnac Effect Falsifies Special Relativity Theory

The Sagnac Effect Falsifies Special Relativity Theory The Sagna Effet Falsifies Speial Relativity Theory Ramzi Suleiman,2,3, a). Triangle Researh & Development Center, PO-Box 267, Kfar Qari, 30075, Israel. 2. Department of Psyhology, University of Haifa,

More information

The experimental plan of displacement- and frequency-noise free laser interferometer

The experimental plan of displacement- and frequency-noise free laser interferometer 7th Edoardo Amaldi Conferene on Gravitational Waves (Amaldi7) Journal of Physis: Conferene Series 122 (2008) 012022 The experimental plan of displaement- and frequeny-noise free laser interferometer K

More information

Four-dimensional equation of motion for viscous compressible substance with regard to the acceleration field, pressure field and dissipation field

Four-dimensional equation of motion for viscous compressible substance with regard to the acceleration field, pressure field and dissipation field Four-dimensional equation of motion for visous ompressible substane with regard to the aeleration field, pressure field and dissipation field Sergey G. Fedosin PO box 6488, Sviazeva str. -79, Perm, Russia

More information

Stability Analysis of Orbital Motions around Uniformly Rotating Irregular Asteroids

Stability Analysis of Orbital Motions around Uniformly Rotating Irregular Asteroids Stability Analysis of Orbital Motions around Uniformly Rotating Irregular Asteroids By Xiyun HoU, ) Daniel J. SCHEERES, ) Xiaosheng XIN, ) Jinglang FENG, ) Jingshi TANG, ) Lin LIU, ) ) Shool of Astronomy

More information

a) What is the duration of the trip according to Ginette? b) What is the duration of the trip according to Tony?

a) What is the duration of the trip according to Ginette? b) What is the duration of the trip according to Tony? Ginette stays on Earth while Tony travels towards a star loated 4.6 lightyears away from Earth. The speed of Tony s ship is 80% of the speed of light. www.how-to-draw-artoons-online.om/artoon-earth.html

More information

arxiv:gr-qc/ v7 14 Dec 2003

arxiv:gr-qc/ v7 14 Dec 2003 Propagation of light in non-inertial referene frames Vesselin Petkov Siene College, Conordia University 1455 De Maisonneuve Boulevard West Montreal, Quebe, Canada H3G 1M8 vpetkov@alor.onordia.a arxiv:gr-q/9909081v7

More information

IMPACT MODELLING OF THE COEFFICIENT OF RESTITUTION OF POTATOES BASED ON THE KELVIN- VOIGHT PAIR

IMPACT MODELLING OF THE COEFFICIENT OF RESTITUTION OF POTATOES BASED ON THE KELVIN- VOIGHT PAIR Bulletin of the Transilvania University of Braşov Series II: Forestry Wood Industry Agriultural Food Engineering Vol. 9 (58) No. - 06 IMPACT MODELLING OF THE COEFFICIENT OF RESTITUTION OF POTATOES BASED

More information

20 Doppler shift and Doppler radars

20 Doppler shift and Doppler radars 20 Doppler shift and Doppler radars Doppler radars make a use of the Doppler shift phenomenon to detet the motion of EM wave refletors of interest e.g., a polie Doppler radar aims to identify the speed

More information

Analysis of Leakage Paths Induced by Longitudinal Differential Settlement of the Shield-driven Tunneling

Analysis of Leakage Paths Induced by Longitudinal Differential Settlement of the Shield-driven Tunneling 2016 rd International Conferene on Engineering Tehnology and Appliation (ICETA 2016) ISBN: 978-1-60595-8-0 Analysis of Leakage Paths Indued by Longitudinal Differential Settlement of the Shield-driven

More information

An Effective Photon Momentum in a Dielectric Medium: A Relativistic Approach. Abstract

An Effective Photon Momentum in a Dielectric Medium: A Relativistic Approach. Abstract An Effetive Photon Momentum in a Dieletri Medium: A Relativisti Approah Bradley W. Carroll, Farhang Amiri, and J. Ronald Galli Department of Physis, Weber State University, Ogden, UT 84408 Dated: August

More information

Fiber Optic Cable Transmission Losses with Perturbation Effects

Fiber Optic Cable Transmission Losses with Perturbation Effects Fiber Opti Cable Transmission Losses with Perturbation Effets Kampanat Namngam 1*, Preeha Yupapin 2 and Pakkinee Chitsakul 1 1 Department of Mathematis and Computer Siene, Faulty of Siene, King Mongkut

More information

Time and Energy, Inertia and Gravity

Time and Energy, Inertia and Gravity Time and Energy, Inertia and Gravity The Relationship between Time, Aeleration, and Veloity and its Affet on Energy, and the Relationship between Inertia and Gravity Copyright 00 Joseph A. Rybzyk Abstrat

More information

Beams on Elastic Foundation

Beams on Elastic Foundation Professor Terje Haukaas University of British Columbia, Vanouver www.inrisk.ub.a Beams on Elasti Foundation Beams on elasti foundation, suh as that in Figure 1, appear in building foundations, floating

More information

MOLECULAR ORBITAL THEORY- PART I

MOLECULAR ORBITAL THEORY- PART I 5.6 Physial Chemistry Leture #24-25 MOLECULAR ORBITAL THEORY- PART I At this point, we have nearly ompleted our rash-ourse introdution to quantum mehanis and we re finally ready to deal with moleules.

More information

The Gravitational Potential for a Moving Observer, Mercury s Perihelion, Photon Deflection and Time Delay of a Solar Grazing Photon

The Gravitational Potential for a Moving Observer, Mercury s Perihelion, Photon Deflection and Time Delay of a Solar Grazing Photon Albuquerque, NM 0 POCEEDINGS of the NPA 457 The Gravitational Potential for a Moving Observer, Merury s Perihelion, Photon Defletion and Time Delay of a Solar Grazing Photon Curtis E. enshaw Tele-Consultants,

More information

New Potential of the. Positron-Emission Tomography

New Potential of the. Positron-Emission Tomography International Journal of Modern Physis and Appliation 6; 3(: 39- http://www.aasit.org/journal/ijmpa ISSN: 375-387 New Potential of the Positron-Emission Tomography Andrey N. olobuev, Eugene S. Petrov,

More information

Armenian Theory of Special Relativity (Illustrated) Robert Nazaryan 1 and Haik Nazaryan 2

Armenian Theory of Special Relativity (Illustrated) Robert Nazaryan 1 and Haik Nazaryan 2 29606 Robert Nazaryan Haik Nazaryan/ Elixir Nulear & Radiation Phys. 78 (205) 29606-2967 Available online at www.elixirpublishers.om (Elixir International Journal) Nulear Radiation Physis Elixir Nulear

More information

The homopolar generator: an analytical example

The homopolar generator: an analytical example The homopolar generator: an analytial example Hendrik van Hees August 7, 214 1 Introdution It is surprising that the homopolar generator, invented in one of Faraday s ingenious experiments in 1831, still

More information

On the Absolute Meaning of Motion

On the Absolute Meaning of Motion On the Absolute Meaning of Motion H. Edwards Publiation link: https://doi.org/10.1016/j.rinp.2017.09.053 Keywords: Kinematis; Gravity; Atomi Cloks; Cosmi Mirowave Bakground Abstrat The present manusript

More information

Study on the leak test technology of spacecraft using ultrasonic

Study on the leak test technology of spacecraft using ultrasonic SINCE2013 Singapore International NDT Conferene & Exhibition 2013, 19-20 July 2013 Study on the test tehnology of spaeraft using ultrasoni Yan Rongxin, Li Weidan Beijing Institute of Spaeraft Environment

More information

RESEARCH ON RANDOM FOURIER WAVE-NUMBER SPECTRUM OF FLUCTUATING WIND SPEED

RESEARCH ON RANDOM FOURIER WAVE-NUMBER SPECTRUM OF FLUCTUATING WIND SPEED The Seventh Asia-Paifi Conferene on Wind Engineering, November 8-1, 9, Taipei, Taiwan RESEARCH ON RANDOM FORIER WAVE-NMBER SPECTRM OF FLCTATING WIND SPEED Qi Yan 1, Jie Li 1 Ph D. andidate, Department

More information

23.1 Tuning controllers, in the large view Quoting from Section 16.7:

23.1 Tuning controllers, in the large view Quoting from Section 16.7: Lesson 23. Tuning a real ontroller - modeling, proess identifiation, fine tuning 23.0 Context We have learned to view proesses as dynami systems, taking are to identify their input, intermediate, and output

More information

A derivation of the Etherington s distance-duality equation

A derivation of the Etherington s distance-duality equation A derivation of the Etherington s distane-duality equation Yuri Heymann 1 Abstrat The Etherington s distane-duality equation is the relationship between the luminosity distane of standard andles and the

More information

Illustrating the relativity of simultaneity Bernhard Rothenstein 1), Stefan Popescu 2) and George J. Spix 3)

Illustrating the relativity of simultaneity Bernhard Rothenstein 1), Stefan Popescu 2) and George J. Spix 3) Illustrating the relativity of simultaneity ernhard Rothenstein 1), Stefan Popesu ) and George J. Spix 3) 1) Politehnia University of Timisoara, Physis Department, Timisoara, Romania, bernhard_rothenstein@yahoo.om

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.286: The Early Universe December 21, 2013 Prof. Alan Guth QUIZ 3 SOLUTIONS

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department Physics 8.286: The Early Universe December 21, 2013 Prof. Alan Guth QUIZ 3 SOLUTIONS MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physis Department Physis 8.286: The Early Universe Deember 2, 203 Prof. Alan Guth QUIZ 3 SOLUTIONS Quiz Date: Deember 5, 203 PROBLEM : DID YOU DO THE READING? (35

More information

Supplementary information for: All-optical signal processing using dynamic Brillouin gratings

Supplementary information for: All-optical signal processing using dynamic Brillouin gratings Supplementary information for: All-optial signal proessing using dynami Brillouin gratings Maro Santagiustina, Sanghoon Chin 2, Niolay Primerov 2, Leonora Ursini, Lu Thévena 2 Department of Information

More information

University of Washington Department of Chemistry Chemistry 452/456 Summer Quarter 2011

University of Washington Department of Chemistry Chemistry 452/456 Summer Quarter 2011 Homework Assignment #4: Due at 500 pm Monday 8 July,. University of Washington Department of Chemistry Chemistry 45/456 Summer Quarter 0 ) o a very good approximation, ammonia obeys the Bertholet equation

More information

The Electromagnetic Radiation and Gravity

The Electromagnetic Radiation and Gravity International Journal of Theoretial and Mathematial Physis 016, 6(3): 93-98 DOI: 10.593/j.ijtmp.0160603.01 The Eletromagneti Radiation and Gravity Bratianu Daniel Str. Teiului Nr. 16, Ploiesti, Romania

More information

Nonreversibility of Multiple Unicast Networks

Nonreversibility of Multiple Unicast Networks Nonreversibility of Multiple Uniast Networks Randall Dougherty and Kenneth Zeger September 27, 2005 Abstrat We prove that for any finite direted ayli network, there exists a orresponding multiple uniast

More information

A Motion Paradox from Einstein s Relativity of Simultaneity

A Motion Paradox from Einstein s Relativity of Simultaneity Motion Paradox from Einstein s Relativity of Simultaneity Espen Gaarder Haug Norwegian University of Life Sienes November 5, 7 bstrat We are desribing a new and potentially important paradox related to

More information

THE EFFECT OF CONSOLIDATION RATIOS ON DYNAMIC SHEAR MODULUS OF SOIL

THE EFFECT OF CONSOLIDATION RATIOS ON DYNAMIC SHEAR MODULUS OF SOIL Otober 12-17, 28, Beijing, China THE EFFECT OF CONSOLIDATION RATIOS ON DYNAMIC SHEAR MODULUS OF SOIL J. Sun 1 and X.M. Yuan 2 1 Assoiate Professor, Institute of Civil Engineering, Heilongjiang University,

More information

Part G-4: Sample Exams

Part G-4: Sample Exams Part G-4: Sample Exams 1 Cairo University M.S.: Eletronis Cooling Faulty of Engineering Final Exam (Sample 1) Mehanial Power Engineering Dept. Time allowed 2 Hours Solve as muh as you an. 1. A heat sink

More information

ELECTROMAGNETIC WAVES WITH NONLINEAR DISPERSION LAW. P. М. Меdnis

ELECTROMAGNETIC WAVES WITH NONLINEAR DISPERSION LAW. P. М. Меdnis ELECTROMAGNETIC WAVES WITH NONLINEAR DISPERSION LAW P. М. Меdnis Novosibirs State Pedagogial University, Chair of the General and Theoretial Physis, Russia, 636, Novosibirs,Viljujsy, 8 e-mail: pmednis@inbox.ru

More information

Dr G. I. Ogilvie Lent Term 2005

Dr G. I. Ogilvie Lent Term 2005 Aretion Diss Mathematial Tripos, Part III Dr G. I. Ogilvie Lent Term 2005 1.4. Visous evolution of an aretion dis 1.4.1. Introdution The evolution of an aretion dis is regulated by two onservation laws:

More information

The Reason of Photons Angular Distribution at Electron-Positron Annihilation in a Positron-Emission Tomograph

The Reason of Photons Angular Distribution at Electron-Positron Annihilation in a Positron-Emission Tomograph Advanes in Natural Siene ol 7, No,, pp -5 DOI: 3968/66 ISSN 75-786 [PRINT] ISSN 75-787 [ONLINE] wwwsanadanet wwwsanadaorg The Reason of Photons Angular Distribution at Eletron-Positron Annihilation in

More information

Ph1c Analytic Quiz 2 Solution

Ph1c Analytic Quiz 2 Solution Ph1 Analyti Quiz 2 olution Chefung Chan, pring 2007 Problem 1 (6 points total) A small loop of width w and height h falls with veloity v, under the influene of gravity, into a uniform magneti field B between

More information

Modes are solutions, of Maxwell s equation applied to a specific device.

Modes are solutions, of Maxwell s equation applied to a specific device. Mirowave Integrated Ciruits Prof. Jayanta Mukherjee Department of Eletrial Engineering Indian Institute of Tehnology, Bombay Mod 01, Le 06 Mirowave omponents Welome to another module of this NPTEL mok

More information

Angular Distribution of Photoelectrons during Irradiation of Metal Surface by Electromagnetic Waves

Angular Distribution of Photoelectrons during Irradiation of Metal Surface by Electromagnetic Waves Journal of Modern Physis, 0,, 780-786 doi:0436/jmp0809 Published Online August 0 (http://wwwsirporg/journal/jmp) Angular Distribution of Photoeletrons during Irradiation of Metal Surfae by letromagneti

More information

Metric of Universe The Causes of Red Shift.

Metric of Universe The Causes of Red Shift. Metri of Universe The Causes of Red Shift. ELKIN IGOR. ielkin@yande.ru Annotation Poinare and Einstein supposed that it is pratially impossible to determine one-way speed of light, that s why speed of

More information

PHY 108: Optical Physics. Solution to Midterm Test

PHY 108: Optical Physics. Solution to Midterm Test PHY 108: Optial Physis Solution to Midterm Test TA: Xun Jia 1 May 14, 2008 1 Email: jiaxun@physis.ula.edu Spring 2008 Physis 108 Xun Jia (May 14, 2008) Problem #1 For a two mirror resonant avity, the resonane

More information

Electromagnetic Theory Prof. Ruiz, UNC Asheville, doctorphys on YouTube Chapter B Notes. Special Relativity. B1. The Rotation Matrix

Electromagnetic Theory Prof. Ruiz, UNC Asheville, doctorphys on YouTube Chapter B Notes. Special Relativity. B1. The Rotation Matrix Eletromagneti Theory Prof. Ruiz, UNC Asheille, dotorphys on YouTube Chapter B Notes. Speial Relatiity B1. The Rotation Matrix There are two pairs of axes below. The prime axes are rotated with respet to

More information

MAC Calculus II Summer All you need to know on partial fractions and more

MAC Calculus II Summer All you need to know on partial fractions and more MC -75-Calulus II Summer 00 ll you need to know on partial frations and more What are partial frations? following forms:.... where, α are onstants. Partial frations are frations of one of the + α, ( +

More information

A unified field theory; atomic, gravitational orbitals as anti-photons

A unified field theory; atomic, gravitational orbitals as anti-photons (plankmomentum.om) A unified field theory; atomi, gravitational orbitals as anti-photons Malolm Maleod E-mail: malem@plankmomentum.om In this essay I propose an alternate interpretation whereby partiles

More information

Bäcklund Transformations: Some Old and New Perspectives

Bäcklund Transformations: Some Old and New Perspectives Bäklund Transformations: Some Old and New Perspetives C. J. Papahristou *, A. N. Magoulas ** * Department of Physial Sienes, Helleni Naval Aademy, Piraeus 18539, Greee E-mail: papahristou@snd.edu.gr **

More information

COMPARISON OF GEOMETRIC FIGURES

COMPARISON OF GEOMETRIC FIGURES COMPARISON OF GEOMETRIC FIGURES Spyros Glenis M.Ed University of Athens, Department of Mathematis, e-mail spyros_glenis@sh.gr Introdution the figures: In Eulid, the geometri equality is based on the apability

More information

4. (12) Write out an equation for Poynting s theorem in differential form. Explain in words what each term means physically.

4. (12) Write out an equation for Poynting s theorem in differential form. Explain in words what each term means physically. Eletrodynamis I Exam 3 - Part A - Closed Book KSU 205/2/8 Name Eletrodynami Sore = 24 / 24 points Instrutions: Use SI units. Where appropriate, define all variables or symbols you use, in words. Try to

More information

A Derivation of the Etherington s Distance-Duality Equation

A Derivation of the Etherington s Distance-Duality Equation International Journal of Astrophysis and Spae Siene 215; 3(4): 65-69 Published online July 9, 215 (http://www.sienepublishinggroup.om/j/ijass) doi: 1.11648/j.ijass.21534.13 ISSN: 2376-714 (Print); ISSN:

More information

On the Quantum Theory of Radiation.

On the Quantum Theory of Radiation. Physikalishe Zeitshrift, Band 18, Seite 121-128 1917) On the Quantum Theory of Radiation. Albert Einstein The formal similarity between the hromati distribution urve for thermal radiation and the Maxwell

More information

Classical Diamagnetism and the Satellite Paradox

Classical Diamagnetism and the Satellite Paradox Classial Diamagnetism and the Satellite Paradox 1 Problem Kirk T. MDonald Joseph Henry Laboratories, Prineton University, Prineton, NJ 08544 (November 1, 008) In typial models of lassial diamagnetism (see,

More information