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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
Theoretically, the null result of the Michelson-Morley experiment can
be obtained by assuming that: (A) The speed of light varies with the speed of the light source (c'=c +v); the principle of relativity is correct; there are no miracles (length contraction, time dilation). (B) Einstein's 1905 light postulate (c'=c) is correct; the principle of relativity is correct; there are miracles (length contraction, time dilation). There is no reasonable third alternative. That is, Newton's emission theory of light with its constitutive equation c'=c+v is the ONLY alternative to special relativity. Moreover, the emission theory is TRUE and special relativity FALSE unless one finds natural that a long train can be trapped inside a short tunnel, an 80m long pole can be trapped inside a 40m long barn and a bug can be both dead and alive: http://www.youtube.com/watch?v=VSRIy...related&search http://math.ucr.edu/home/baez/physic...barn_pole.html "These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.....So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors simultaneously, with your switch. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.....If the doors are kept shut the rod will obviously smash into the barn door at one end. If the door withstands this the leading end of the rod will come to rest in the frame of reference of the stationary observer. There can be no such thing as a rigid rod in relativity so the trailing end will not stop immediately and the rod will be compressed beyond the amount it was Lorentz contracted. If it does not explode under the strain and it is sufficiently elastic it will come to rest and start to spring back to its natural shape but since it is too big for the barn the other end is now going to crash into the back door and the rod will be trapped in a compressed state inside the barn." http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html "The bug-rivet paradox is a variation on the twin paradox and is similar to the pole-barn paradox.....The end of the rivet hits the bottom of the hole before the head of the rivet hits the wall. So it looks like the bug is squashed.....All this is nonsense from the bug's point of view. The rivet head hits the wall when the rivet end is just 0.35 cm down in the hole! The rivet doesn't get close to the bug....The paradox is not resolved." Pentcho Valev |
#2
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
Michelson-Morley not null; just say, Duh!
thus: most of Russell;'s lagubrious paradoxes are perilinguistic, lacking the element (or variable) of time; are they not? thus: of course, there is a base-one; what is it's digital counter, by induction on base-ten? in factorial base, it has n digits; eh? In base 1, the factorial n! has n! digits. [OK I realize there's no "base 1"...] thus: sea-level is not rising, globally -- http://www.21stcenturysciencetech.co...rInterview.pdf -- and warming is mostly equatorial. however, there is massive loss of soil, and that might change *relative* sea- level, in some locations, as well as dysplace some sea! thus quoth: Let’s take a look at the complexity of polar bear life. First, the polar bear has been around for about 250,000 years, having survived both an Ice Age, and the last Interglacial period (130,000 years ago), when there was virtually no ice at the North Pole. Clearly, polar bears have adapted to the changing environment, as evidenced by their presence today. (This fact alone makes the polar bear smarter than Al Gore and the other global warming alarmists. Perhaps the polar bear survived the last Interglacial because it did not have computer climate models that said polar bears should not have survived!) http://www.21stcenturysciencetech.co...polarbears.pdf http://www.21stcenturysciencetech.co...l_Warming.html thus: the photographic record that I saw, in some rather eclectic compendium of Einsteinmania, seemed to show quite a "bending" effect, I must say; not that the usual interpretation is correct, though. Nude Scientist said: "Enter another piece of luck for Einstein. We now know that the light- bending effect was actually too small for Eddington to have discerned --Another Flower for Einstein: http://www.21stcenturysciencetech.co...odynamics.html --les OEuvres! http://wlym.com --Stop Cheeny, Rice & the ICC in Sudan; no more Anglo-american quagmires! http://larouchepub.com/pr/2010/100204rice |
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
http://physicsworld.com/cws/article/news/41740
"Pulses of light sent upwards from a clock on the lift floor will be Doppler shifted, or redshifted, when the lift is accelerating upwards, meaning that this clock will appear to tick more slowly when its flashes are compared at the ceiling of the lift to another clock. Because there is no way to tell gravity and acceleration apart the same will hold true in a gravitational field, in other words the greater the gravitational pull experienced by a clock, or the closer it is to a massive body, the more slowly it will tick." http://arstechnica.com/science/news/...asurements.ars "For example, if we synchronize two clocks, take one of them to the top of a mountain for a while, and then bring it back to where the other clock is, the clock that sat still will be running behind the clock that was in the mountains - it was in a more accelerated frame, and time passed more slowly there." The "gravitational time dilation" is an idiocy devised by Einstein in 1911: somehow he had to camouflage the fact that, in dealing with the behaviour of light in a gravitational field, he was using Newton's emission theory of light: ttp://www.physlink.com/Education/AskExperts/ae13.cfm "So, it is absolutely true that the speed of light is not constant in a gravitational field [which, by the equivalence principle, applies as well to accelerating (non-inertial) frames of reference]. If this were not so, there would be no bending of light by the gravitational field of stars....Indeed, this is exactly how Einstein did the calculation in: 'On the Influence of Gravitation on the Propagation of Light,' Annalen der Physik, 35, 1911. which predated the full formal development of general relativity by about four years. This paper is widely available in English. You can find a copy beginning on page 99 of the Dover book 'The Principle of Relativity.' You will find in section 3 of that paper, Einstein's derivation of the (variable) speed of light in a gravitational potential, eqn (3). The result is, c' = c0 ( 1 + V / c^2 ) where V is the gravitational potential relative to the point where the speed of light c0 is measured." http://www.blazelabs.com/f-g-gcont.asp "So, faced with this evidence most readers must be wondering why we learn about the importance of the constancy of speed of light. Did Einstein miss this? Sometimes I find out that what's written in our textbooks is just a biased version taken from the original work, so after searching within the original text of the theory of GR by Einstein, I found this quote: "In the second place our result shows that, according to the general theory of relativity, the law of the constancy of the velocity of light in vacuo, which constitutes one of the two fundamental assumptions in the special theory of relativity and to which we have already frequently referred, cannot claim any unlimited validity. A curvature of rays of light can only take place when the velocity of propagation of light varies with position. Now we might think that as a consequence of this, the special theory of relativity and with it the whole theory of relativity would be laid in the dust. But in reality this is not the case. We can only conclude that the special theory of relativity cannot claim an unlimited domain of validity ; its results hold only so long as we are able to disregard the influences of gravitational fields on the phenomena (e.g. of light)." - Albert Einstein (1879-1955) - The General Theory of Relativity: Chapter 22 - A Few Inferences from the General Principle of Relativity-. Today we find that since the Special Theory of Relativity unfortunately became part of the so called mainstream science, it is considered a sacrilege to even suggest that the speed of light be anything other than a constant. This is somewhat surprising since even Einstein himself suggested in a paper "On the Influence of Gravitation on the Propagation of Light," Annalen der Physik, 35, 1911, that the speed of light might vary with the gravitational potential. Indeed, the variation of the speed of light in a vacuum or space is explicitly shown in Einstein's calculation for the angle at which light should bend upon the influence of gravity. One can find his calculation in his paper. The result is c'=c(1+V/c^2) where V is the gravitational potential relative to the point where the measurement is taken. 1+V/c^2 is also known as the GRAVITATIONAL REDSHIFT FACTOR." In 1915 Einstein managed to definitively get rid of Newton's emission theory of light by replacing the equation c'=c(1+V/c^2) with c'=c(1+2V/ c^2), which is tantamount to replacing 2+2=4 with 2+2=5: http://www.mathpages.com/rr/s6-01/6-01.htm "In geometrical units we define c_0 = 1, so Einstein's 1911 formula can be written simply as c=1+phi. However, this formula for the speed of light (not to mention this whole approach to gravity) turned out to be incorrect, as Einstein realized during the years leading up to 1915 and the completion of the general theory. In fact, the general theory of relativity doesn't give any equation for the speed of light at a particular location, because the effect of gravity cannot be represented by a simple scalar field of c values. Instead, the "speed of light" at a each point depends on the direction of the light ray through that point, as well as on the choice of coordinate systems, so we can't generally talk about the value of c at a given point in a non- vanishing gravitational field. However, if we consider just radial light rays near a spherically symmetrical (and non- rotating) mass, and if we agree to use a specific set of coordinates, namely those in which the metric coefficients are independent of t, then we can read a formula analogous to Einstein's 1911 formula directly from the Schwarzschild metric. (...) In the Newtonian limit the classical gravitational potential at a distance r from mass m is phi=-m/r, so if we let c_r = dr/dt denote the radial speed of light in Schwarzschild coordinates, we have c_r =1+2phi, which corresponds to Einstein's 1911 equation, except that we have a factor of 2 instead of 1 on the potential term." http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German (download from: http://www.physik.uni-augsburg.de/an...35_898-908.pdf ). It predated the full formal development of general relativity by about four years. You can find an English translation of this paper in the Dover book 'The Principle of Relativity' beginning on page 99; you will find in section 3 of that paper Einstein's derivation of the variable speed of light in a gravitational potential, eqn (3). The result is: c'=c0(1+phi/c^2) where phi is the gravitational potential relative to the point where the speed of light co is measured......You can find a more sophisticated derivation later by Einstein (1955) from the full theory of general relativity in the weak field approximation....For the 1955 results but not in coordinates see page 93, eqn (6.28): c(r)=[1+2phi(r)/c^2]c. Namely the 1955 approximation shows a variation in km/sec twice as much as first predicted in 1911." http://www.online-literature.com/orwell/1984/ George Orwell "1984": "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?" Pentcho Valev |
#4
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
On Feb 18, 2:14 am, Pentcho Valev wrote:
http://physicsworld.com/cws/article/news/41740 "Pulses of light sent upwards from a clock on the lift floor will be Doppler shifted, or redshifted, when the lift is accelerating upwards, meaning that this clock will appear to tick more slowly when its flashes are compared at the ceiling of the lift to another clock. Because there is no way to tell gravity and acceleration apart the same will hold true in a gravitational field, in other words the greater the gravitational pull experienced by a clock, or the closer it is to a massive body, the more slowly it will tick." Hey Pencho. Thanks to one of your links I bought Magueijo's book for just a dollar on the net; used hardback. There are some nice incidental details and he has a good writing style. He is not aloof at all, and a tension is carried much like the grind of personalitites in science. He certainly speaks his truth clearly. I am not done with it yet, but have already learned alot of seemingly minor details, the accumulation of which could be helpful to any budding or even leafed out theorist. I find the falsification of relativity straightforward directly from the tensor usage. Einstein clearly states the isotropic assumption, but fails to specify whether that isotropic quality extends to spacetime or is just spatial. Within the tensor format we need only consider a measuring rod in 3D, then extend it into the 4D, and see that the rod actually has no freedom to rotate into the time component, thus refuting the 4D tensor usage. Instead the Minkowski metric imposes a structure on spacetime and this then challenges the 4D isotropic claim. The paradigm ought to be of structured spacetime, and I happily grant relativity theory as an instance of such. The peculiar nature of the photon as instantaneous within its own reference frame is rarely discussed if at all, and this paradox ought to come more to the surface, for interaction of instantaneous phenomena is an extremely puzzling context, with an opening to multipath dynamics. I prefer to grant some respect for relativity theory, but still to criticize it, and thus state that there is room for a cleaner theory, and that the paradigm of structured spacetime will alight. Further, I have found arithmetic support for spacetime with unidirectional zero dimensional time: http://bandtechnology.com/PolySigned The polysign numbers go so deep as to redefine the real number, though few seem to appreciate polysign to this degree of simplicity. The resulting generalized structure yield complex numbers P3 and unidirectional time P1 alongside their middling relative P2; the traditional real number. The arithmetic is clean and promises natural spacetime support for he who can implement physics within the polysign paradigm. This is a mighty challenge for which I offer a US$100 bonus for a contribution, particularly for the expression of electromagnetism within the polysign paradigm, where the structured form of spacetime already carries the electromagnetic geometry, and so a prediction of a simplification of Maxwell's equations is easily visible, though difficult to instantiate mathematically. We know that such a radical move is required to shuffle the deck. Doesn't it make sense that the arithmetic needs to change? I encourage all to take a fresh look at polysign, and I do accept the criticisms of relativity theory which take place here on usenet, though I think much of the criticism is overblown to outright rejection, whereas what ought to be declared is an opening. It is from this open place that I present polysign, for I have no ultimate physical theory; just clean math. - Tim http://arstechnica.com/science/news/...obtain-highly-... "For example, if we synchronize two clocks, take one of them to the top of a mountain for a while, and then bring it back to where the other clock is, the clock that sat still will be running behind the clock that was in the mountains - it was in a more accelerated frame, and time passed more slowly there." The "gravitational time dilation" is an idiocy devised by Einstein in 1911: somehow he had to camouflage the fact that, in dealing with the behaviour of light in a gravitational field, he was using Newton's emission theory of light: ttp://www.physlink.com/Education/AskExperts/ae13.cfm "So, it is absolutely true that the speed of light is not constant in a gravitational field [which, by the equivalence principle, applies as well to accelerating (non-inertial) frames of reference]. If this were not so, there would be no bending of light by the gravitational field of stars....Indeed, this is exactly how Einstein did the calculation in: 'On the Influence of Gravitation on the Propagation of Light,' Annalen der Physik, 35, 1911. which predated the full formal development of general relativity by about four years. This paper is widely available in English. You can find a copy beginning on page 99 of the Dover book 'The Principle of Relativity.' You will find in section 3 of that paper, Einstein's derivation of the (variable) speed of light in a gravitational potential, eqn (3). The result is, c' = c0 ( 1 + V / c^2 ) where V is the gravitational potential relative to the point where the speed of light c0 is measured." http://www.blazelabs.com/f-g-gcont.asp "So, faced with this evidence most readers must be wondering why we learn about the importance of the constancy of speed of light. Did Einstein miss this? Sometimes I find out that what's written in our textbooks is just a biased version taken from the original work, so after searching within the original text of the theory of GR by Einstein, I found this quote: "In the second place our result shows that, according to the general theory of relativity, the law of the constancy of the velocity of light in vacuo, which constitutes one of the two fundamental assumptions in the special theory of relativity and to which we have already frequently referred, cannot claim any unlimited validity. A curvature of rays of light can only take place when the velocity of propagation of light varies with position. Now we might think that as a consequence of this, the special theory of relativity and with it the whole theory of relativity would be laid in the dust. But in reality this is not the case. We can only conclude that the special theory of relativity cannot claim an unlimited domain of validity ; its results hold only so long as we are able to disregard the influences of gravitational fields on the phenomena (e.g. of light)." - Albert Einstein (1879-1955) - The General Theory of Relativity: Chapter 22 - A Few Inferences from the General Principle of Relativity-. Today we find that since the Special Theory of Relativity unfortunately became part of the so called mainstream science, it is considered a sacrilege to even suggest that the speed of light be anything other than a constant. This is somewhat surprising since even Einstein himself suggested in a paper "On the Influence of Gravitation on the Propagation of Light," Annalen der Physik, 35, 1911, that the speed of light might vary with the gravitational potential. Indeed, the variation of the speed of light in a vacuum or space is explicitly shown in Einstein's calculation for the angle at which light should bend upon the influence of gravity. One can find his calculation in his paper. The result is c'=c(1+V/c^2) where V is the gravitational potential relative to the point where the measurement is taken. 1+V/c^2 is also known as the GRAVITATIONAL REDSHIFT FACTOR." In 1915 Einstein managed to definitively get rid of Newton's emission theory of light by replacing the equation c'=c(1+V/c^2) with c'=c(1+2V/ c^2), which is tantamount to replacing 2+2=4 with 2+2=5: http://www.mathpages.com/rr/s6-01/6-01.htm "In geometrical units we define c_0 = 1, so Einstein's 1911 formula can be written simply as c=1+phi. However, this formula for the speed of light (not to mention this whole approach to gravity) turned out to be incorrect, as Einstein realized during the years leading up to 1915 and the completion of the general theory. In fact, the general theory of relativity doesn't give any equation for the speed of light at a particular location, because the effect of gravity cannot be represented by a simple scalar field of c values. Instead, the "speed of light" at a each point depends on the direction of the light ray through that point, as well as on the choice of coordinate systems, so we can't generally talk about the value of c at a given point in a non- vanishing gravitational field. However, if we consider just radial light rays near a spherically symmetrical (and non- rotating) mass, and if we agree to use a specific set of coordinates, namely those in which the metric coefficients are independent of t, then we can read a formula analogous to Einstein's 1911 formula directly from the Schwarzschild metric. (...) In the Newtonian limit the classical gravitational potential at a distance r from mass m is phi=-m/r, so if we let c_r = dr/dt denote the radial speed of light in Schwarzschild coordinates, we have c_r =1+2phi, which corresponds to Einstein's 1911 equation, except that we have a factor of 2 instead of 1 on the potential term." http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German (download from:http://www.physik.uni-augsburg.de/an...ein-papers/191... ). It predated the full formal development of general relativity by about four years. You can find an English translation of this paper in the Dover book 'The Principle of Relativity' beginning on page 99; you will find in section 3 of that paper Einstein's derivation of the variable speed of light in a gravitational potential, eqn (3). The result is: c'=c0(1+phi/c^2) where phi is the gravitational potential relative to the point where the speed of light co is measured......You can find a more sophisticated derivation later by Einstein (1955) from the full theory of general relativity in the weak field approximation....For the 1955 results but not in coordinates see page 93, eqn (6.28): c(r)=[1+2phi(r)/c^2]c. Namely the 1955 approximation shows a variation in km/sec twice as much as first predicted in 1911." http://www.online-literature.com/orwell/1984/ George Orwell "1984": "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?" Pentcho Valev |
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
a hundred dollars for some "clean math?"
the best odometer for relativity is quaternions, where the imaginary part is the "vector," and the real part is the "scalar" in Hamilton's lingua; see the work-up by Lanczos, _Variational Mechanics_. Death to the lightcone! We know that such a radical move is required to shuffle the deck. thus: don't top-post!... what exactly is not analogous about doppler shifts of frequency of light waves & sound waves? presumably, there are no "photonic booms," because nothing can emit light that is going at over "warp factor one." thus: sea-level is not rising, globally -- http://www.21stcenturysciencetech.co...ornerInterview... -- and warming is mostly equatorial. however, there is loss of soil, and that might change *relative* sea-level in some locations, as well as dysplace some sea! thus quoth: Let’s take a look at the complexity of polar bear life. First, the polar bear has been around for about 250,000 years, having survived both an Ice Age, and the last Interglacial period (130,000 years ago), when there was virtually no ice at the North Pole. Clearly, polar bears have adapted to the changing environment, as evidenced by their presence today. (This fact alone makes the polar bear smarter than Al Gore and the other global warming alarmists. Perhaps the polar bear survived the last Interglacial because it did not have computer climate models that said, polar bears should not have survived!) http://www.21stcenturysciencetech.co...l_Warming.html thus: the photographic record that I saw, in some rather eclectic compendium of Einsteinmania, seemed to show quite a "bending" effect, I must say; not that the usual interpretation is correct, though. Nude Scientist said: Enter another piece of luck for Einstein. We now know that the light- bending effect was actually too small for Eddington to have discerned --Another Flower for Einstein: http://www.21stcenturysciencetech.co...odynamics.html --les OEuvres! http://wlym.com --Stop Cheeny, Rice & the ICC in Sudan; no more Anglo-american quagmires! http://www.larouchepub.com/pr/2010/1...sts_sudan.html |
#6
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
"Gravitational time dilation" is just one of Einsteiniana's panicky
reactions to a great threat: the frequency of light the receiver (observer) measures is often different from the frequency the emitter measures, that is, light is often redshifted or blueshifted. In accordance with the formula: (frequency) = (speed of light)/(wavelength) the only reasonable explanation of the measured frequency shift is that the speed of light relative to the receiver is different from the speed of light relative to the emitter, that is, the speed of light is VARIABLE, not constant. "Gravitational time dilation" misleads the public into believing that the frequency shift is due to a miraculous time dilation dependent on the gravitational potential, not to a variation of the speed of light: http://www.bartleby.com/173/a3.html Albert Einstein: "Furthermore, we can regard an atom which is emitting spectral lines as a clock, so that the following statement will hold: An atom absorbs or emits light of a frequency which is dependent on the potential of the gravitational field in which it is situated." In the absence of gravitational field Einsteinians resort to an even more blatant lie: the frequency shift is accomanied with a wavelength shift, not with a variation of the speed of light: http://sampit.geol.sc.edu/Doppler.html "Moving observer: A man is standing on the beach, watching the tide. The waves are washing into the shore and over his feet with a constant frequency and wavelength. However, if he begins walking out into the ocean, the waves will begin hitting him more frequently, leading him to perceive that the wavelength of the waves has decreased. Again, this phenomenon is due to the fact that the source and the observer are not the in the same frame of reference. Although the wavelength appears to have decreased to the man, the wavelength would appear constant to a jellyfish floating along with the tide." http://www.pitt.edu/~jdnorton/teachi...ang/index.html John Norton: "Here's a light wave and an observer. If the observer were to hurry towards the source of the light, the observer would now pass wavecrests more frequently than the resting observer. That would mean that moving observer would find the frequency of the light to have increased (AND CORRESPONDINGLY FOR THE WAVELENGTH - THE DISTANCE BETWEEN CRESTS - TO HAVE DECREASED)." Pentcho Valev wrote: http://physicsworld.com/cws/article/news/41740 "Pulses of light sent upwards from a clock on the lift floor will be Doppler shifted, or redshifted, when the lift is accelerating upwards, meaning that this clock will appear to tick more slowly when its flashes are compared at the ceiling of the lift to another clock. Because there is no way to tell gravity and acceleration apart the same will hold true in a gravitational field, in other words the greater the gravitational pull experienced by a clock, or the closer it is to a massive body, the more slowly it will tick." http://arstechnica.com/science/news/...asurements.ars "For example, if we synchronize two clocks, take one of them to the top of a mountain for a while, and then bring it back to where the other clock is, the clock that sat still will be running behind the clock that was in the mountains - it was in a more accelerated frame, and time passed more slowly there." The "gravitational time dilation" is an idiocy devised by Einstein in 1911: somehow he had to camouflage the fact that, in dealing with the behaviour of light in a gravitational field, he was using Newton's emission theory of light: http://www.physlink.com/Education/AskExperts/ae13.cfm "So, it is absolutely true that the speed of light is not constant in a gravitational field [which, by the equivalence principle, applies as well to accelerating (non-inertial) frames of reference]. If this were not so, there would be no bending of light by the gravitational field of stars....Indeed, this is exactly how Einstein did the calculation in: 'On the Influence of Gravitation on the Propagation of Light,' Annalen der Physik, 35, 1911. which predated the full formal development of general relativity by about four years. This paper is widely available in English. You can find a copy beginning on page 99 of the Dover book 'The Principle of Relativity.' You will find in section 3 of that paper, Einstein's derivation of the (variable) speed of light in a gravitational potential, eqn (3). The result is, c' = c0 ( 1 + V / c^2 ) where V is the gravitational potential relative to the point where the speed of light c0 is measured." http://www.blazelabs.com/f-g-gcont.asp "So, faced with this evidence most readers must be wondering why we learn about the importance of the constancy of speed of light. Did Einstein miss this? Sometimes I find out that what's written in our textbooks is just a biased version taken from the original work, so after searching within the original text of the theory of GR by Einstein, I found this quote: "In the second place our result shows that, according to the general theory of relativity, the law of the constancy of the velocity of light in vacuo, which constitutes one of the two fundamental assumptions in the special theory of relativity and to which we have already frequently referred, cannot claim any unlimited validity. A curvature of rays of light can only take place when the velocity of propagation of light varies with position. Now we might think that as a consequence of this, the special theory of relativity and with it the whole theory of relativity would be laid in the dust. But in reality this is not the case. We can only conclude that the special theory of relativity cannot claim an unlimited domain of validity ; its results hold only so long as we are able to disregard the influences of gravitational fields on the phenomena (e.g. of light)." - Albert Einstein (1879-1955) - The General Theory of Relativity: Chapter 22 - A Few Inferences from the General Principle of Relativity-. Today we find that since the Special Theory of Relativity unfortunately became part of the so called mainstream science, it is considered a sacrilege to even suggest that the speed of light be anything other than a constant. This is somewhat surprising since even Einstein himself suggested in a paper "On the Influence of Gravitation on the Propagation of Light," Annalen der Physik, 35, 1911, that the speed of light might vary with the gravitational potential. Indeed, the variation of the speed of light in a vacuum or space is explicitly shown in Einstein's calculation for the angle at which light should bend upon the influence of gravity. One can find his calculation in his paper. The result is c'=c(1+V/c^2) where V is the gravitational potential relative to the point where the measurement is taken. 1+V/c^2 is also known as the GRAVITATIONAL REDSHIFT FACTOR." In 1915 Einstein managed to definitively get rid of Newton's emission theory of light by replacing the equation c'=c(1+V/c^2) with c'=c(1+2V/ c^2), which is tantamount to replacing 2+2=4 with 2+2=5: http://www.mathpages.com/rr/s6-01/6-01.htm "In geometrical units we define c_0 = 1, so Einstein's 1911 formula can be written simply as c=1+phi. However, this formula for the speed of light (not to mention this whole approach to gravity) turned out to be incorrect, as Einstein realized during the years leading up to 1915 and the completion of the general theory. In fact, the general theory of relativity doesn't give any equation for the speed of light at a particular location, because the effect of gravity cannot be represented by a simple scalar field of c values. Instead, the "speed of light" at a each point depends on the direction of the light ray through that point, as well as on the choice of coordinate systems, so we can't generally talk about the value of c at a given point in a non- vanishing gravitational field. However, if we consider just radial light rays near a spherically symmetrical (and non- rotating) mass, and if we agree to use a specific set of coordinates, namely those in which the metric coefficients are independent of t, then we can read a formula analogous to Einstein's 1911 formula directly from the Schwarzschild metric. (...) In the Newtonian limit the classical gravitational potential at a distance r from mass m is phi=-m/r, so if we let c_r = dr/dt denote the radial speed of light in Schwarzschild coordinates, we have c_r =1+2phi, which corresponds to Einstein's 1911 equation, except that we have a factor of 2 instead of 1 on the potential term." http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German (download from: http://www.physik.uni-augsburg.de/an...35_898-908.pdf ). It predated the full formal development of general relativity by about four years. You can find an English translation of this paper in the Dover book 'The Principle of Relativity' beginning on page 99; you will find in section 3 of that paper Einstein's derivation of the variable speed of light in a gravitational potential, eqn (3). The result is: c'=c0(1+phi/c^2) where phi is the gravitational potential relative to the point where the speed of light co is measured......You can find a more sophisticated derivation later by Einstein (1955) from the full theory of general relativity in the weak field approximation....For the 1955 results but not in coordinates see page 93, eqn (6.28): c(r)=[1+2phi(r)/c^2]c. Namely the 1955 approximation shows a variation in km/sec twice as much as first predicted in 1911." http://www.online-literature.com/orwell/1984/ George Orwell "1984": "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?" Pentcho Valev |
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
On Feb 19, 1:25 am, spudnik wrote:
a hundred dollars for some "clean math?" US$100 for contributions on the expression of electromagnetics within the context of polysign numbers. the best odometer for relativity is quaternions, where the imaginary part is the "vector," and the real part is the "scalar" in Hamilton's lingua; see the work-up by Lanczos, _Variational Mechanics_. Yes, so many are tuning in to the quaternion. I've spent some time at it but still fail to see that there is anything more to it than standard emag. There are so many avenues to explore it's ridiculous. Gauge theory is another thing that I dismissed awhile ago, but still it lingers. Thanks for this advice. I'll try to access Lanczos. Death to the lightcone! We know that such a radical move is required to shuffle the deck. Consider the tensor in 3D, as in usual mechanics. The reason for considering the tensor as a pre-relativity tool was to strictly enforce the idea that any reference frame will suffice to perform physics or mechanics from. Here the isotropic notion of space takes a fairly sensible platform. Prior to this development we see convenient choice of reference frames. A phenomenon is reduced to a one dimensional problem by carefully choosing an axis along which the object's motion is constrained. For instance the usage of 'x' for a railroad car travelling a track. The initial purpose of the tensor was to abstract this requirement. The essential meaning is that the objects of the problem can exist within mathematics without the preferential frame, so long as the track and the car are cleanly defined within the tensor framework. A measuring rod is an even simpler object, and I shift down to this level of simplicity to introduce the time dimension. Embed the rod into a tensor, and let's now enter time into the tensor as a fourth dimensional component. Already we have a tremendous puzzle that Einstein managed to avoid. We can see that for a given projection we'll see the rod's diameter and its length (the critical component), but now what is the extent in the time dimension, and further why must we distinguish the time dimension from the others? Having entered the tensor we just wiped away that distinction. No acceleration or velocity is necessary to portray this conflict. No usage of light is necessary. This is simply a conflict of the mathematical construction. There are multiple routes to attempt. I'll try one: the rod is granted an existence for a fixed length of time, say one year; a fairly short time in the life of man-made objects here on Earth. It is clear that rotations through the frame now bring the longest length of the rod to one light year, and potentially shrink its existence in time down to a moment, depending upon the diameter of the rod. Entering time into the tensor format forces rotational invariance including that time dimension. Rotations which the rod can take must be extended into the fourth dimension. There is no exception. Thus the framework of the problem is flawed, for we see no ability to draw the length of the measuring rod to a length of one light year via rotation, thus making it disappear in a moment. In hindsight the atomic structure of the measuring rod is likewise offended by the construction. Time has no degree of freedom as spatial dimensions do. Numerous conflicts exist already at the outset of the construction. How did he manage to get results? It must be that what he was seeing is something quite different from the tensor interpretation. I suggest that structured spacetime is the paradigm rather than isotropic spacetime; hence the contorted metric which forms yet another tensor conflict in the context of arbitrary reference frames. I have found arithmetic support for spacetime with unidirectional zero dimensional time by generalizing the sign of the real number: http://bandtechnology.com/PolySigned For some reason this math is challenging to the human mind. I suggest that the cartesian thought of this and the last century is in the way of progress. The concept of orthogonality as inherently dimensional need not be. There is a subtle conflict of the notion of independence in the graphical sense to the informational sense whereby I am caught using a phrase 'informationally orthogonal' to portray a more true independence, for if frames must be perpendicular then that is a dependency. That's a frazzled statement because it is at the edge of a new paradigm. These details lay in the subtleties of the fundamentals of mathematics where just a small shift implicates itself throughout the entire body. - Tim what exactly is not analogous about doppler shifts of frequency of light waves & sound waves? |
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THE BIG TITS EMPORIUM! SEND CREDIT CARD DETAILS AND SEE LOTS OF BIGTITS. WHORR.
Pentcho Valev wrote:
Theoretically, the null result of the Michelson-Morley experiment can be obtained by assuming that: (A) The speed of light varies with the speed of the light source (c'=c +v); the principle of relativity is correct; there are no miracles (length contraction, time dilation). (B) Einstein's 1905 light postulate (c'=c) is correct; the principle of relativity is correct; there are miracles (length contraction, time dilation). There is no reasonable third alternative. That is, Newton's emission theory of light with its constitutive equation c'=c+v is the ONLY alternative to special relativity. Moreover, the emission theory is TRUE and special relativity FALSE unless one finds natural that a long train can be trapped inside a short tunnel, an 80m long pole can be trapped inside a 40m long barn and a bug can be both dead and alive: http://www.youtube.com/watch?v=VSRIy...related&search http://math.ucr.edu/home/baez/physic...barn_pole.html "These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.....So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors simultaneously, with your switch. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.....If the doors are kept shut the rod will obviously smash into the barn door at one end. If the door withstands this the leading end of the rod will come to rest in the frame of reference of the stationary observer. There can be no such thing as a rigid rod in relativity so the trailing end will not stop immediately and the rod will be compressed beyond the amount it was Lorentz contracted. If it does not explode under the strain and it is sufficiently elastic it will come to rest and start to spring back to its natural shape but since it is too big for the barn the other end is now going to crash into the back door and the rod will be trapped in a compressed state inside the barn." http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html "The bug-rivet paradox is a variation on the twin paradox and is similar to the pole-barn paradox.....The end of the rivet hits the bottom of the hole before the head of the rivet hits the wall. So it looks like the bug is squashed.....All this is nonsense from the bug's point of view. The rivet head hits the wall when the rivet end is just 0.35 cm down in the hole! The rivet doesn't get close to the bug....The paradox is not resolved." Pentcho Valev |
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
"Pentcho Valev" wrote in message
... Theoretically, the null result of the Michelson-Morley experiment can be obtained by assuming that: (A) The speed of light varies with the speed of the light source (c'=c +v); the principle of relativity is correct; there are no miracles (length contraction, time dilation). (B) Einstein's 1905 light postulate (c'=c) is correct; the principle of relativity is correct; there are miracles (length contraction, time dilation). There is no reasonable third alternative. That is, Newton's emission theory of light with its constitutive equation c'=c+v is the ONLY alternative to special relativity. Moreover, the emission theory is TRUE and special relativity FALSE unless one finds natural that a long train can be trapped inside a short tunnel, an 80m long pole can be trapped inside a 40m long barn ...in the sense described below it can be.. and a bug can be both dead and alive: The bug can't be both dead and alive (quantum effects aside!), so if the article below is claiming this it is wrong... http://www.youtube.com/watch?v=VSRIy...related&search http://math.ucr.edu/home/baez/physic...barn_pole.html "These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.....So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors simultaneously, with your switch. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.....If the doors are kept shut the rod will obviously smash into the barn door at one end. If the door withstands this the leading end of the rod will come to rest in the frame of reference of the stationary observer. There can be no such thing as a rigid rod in relativity so the trailing end will not stop immediately and the rod will be compressed beyond the amount it was Lorentz contracted. If it does not explode under the strain and it is sufficiently elastic it will come to rest and start to spring back to its natural shape but since it is too big for the barn the other end is now going to crash into the back door and the rod will be trapped in a compressed state inside the barn." ...so no problem from either the barn owner's perspective or the runner's perspective. Or are you claiming there is some internal contradiction in the scenario? http://hyperphysics.phy-astr.gsu.edu.../bugrivet.html "The bug-rivet paradox is a variation on the twin paradox and is similar to the pole-barn paradox.....The end of the rivet hits the bottom of the hole before the head of the rivet hits the wall. So it looks like the bug is squashed.....All this is nonsense from the bug's point of view. The rivet head hits the wall when the rivet end is just 0.35 cm down in the hole! The rivet doesn't get close to the bug....The paradox is not resolved." Maybe the author of the article does not know how to resolve this, but it seems to me just another variation of the pole-barn paradox - you need to be careful that the order of events in the two frames are going to be different. (The events being the squashing of the bug and the rivet head hitting the wall. Yes - I'm sorry to have to tell you that the bug gets squashed and will be "dead", not "both dead and alive" as you seem to think! :-) Mike. Pentcho Valev |
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THE ONLY ALTERNATIVE TO SPECIAL RELATIVITY
"Mike Terry" wrote in message ... "Pentcho Valev" wrote in message ... Theoretically, the null result of the Michelson-Morley experiment can be obtained by assuming that: (A) The speed of light varies with the speed of the light source (c'=c +v); the principle of relativity is correct; there are no miracles (length contraction, time dilation). (B) Einstein's 1905 light postulate (c'=c) is correct; the principle of relativity is correct; there are miracles (length contraction, time dilation). There is no reasonable third alternative. That is, Newton's emission theory of light with its constitutive equation c'=c+v is the ONLY alternative to special relativity. Moreover, the emission theory is TRUE and special relativity FALSE unless one finds natural that a long train can be trapped inside a short tunnel, an 80m long pole can be trapped inside a 40m long barn ..in the sense described below it can be.. and a bug can be both dead and alive: The bug can't be both dead and alive (quantum effects aside!), so if the article below is claiming this it is wrong... http://www.youtube.com/watch?v=VSRIy...related&search http://math.ucr.edu/home/baez/physic...barn_pole.html "These are the props. You own a barn, 40m long, with automatic doors at either end, that can be opened and closed simultaneously by a switch. You also have a pole, 80m long, which of course won't fit in the barn. Now someone takes the pole and tries to run (at nearly the speed of light) through the barn with the pole horizontal. Special Relativity (SR) says that a moving object is contracted in the direction of motion: this is called the Lorentz Contraction. So, if the pole is set in motion lengthwise, then it will contract in the reference frame of a stationary observer.....So, as the pole passes through the barn, there is an instant when it is completely within the barn. At that instant, you close both doors simultaneously, with your switch. Of course, you open them again pretty quickly, but at least momentarily you had the contracted pole shut up in your barn. The runner emerges from the far door unscathed.....If the doors are kept shut the rod will obviously smash into the barn door at one end. If the door withstands this the leading end of the rod will come to rest in the frame of reference of the stationary observer. There can be no such thing as a rigid rod in relativity so the trailing end will not stop immediately and the rod will be compressed beyond the amount it was Lorentz contracted. If it does not explode under the strain and it is sufficiently elastic it will come to rest and start to spring back to its natural shape but since it is too big for the barn the other end is now going to crash into the back door and the rod will be trapped in a compressed state inside the barn." ..so no problem from either the barn owner's perspective or the runner's perspective. Or are you claiming there is some internal contradiction in the scenario? Yes. According to the algebra of the theory, moving poles stretch/expand, they do not shrink/contract. Division by something less than one will increase the quotient, 2 = 1/0.5. Relativity (SR) says that a moving object is expanded in the direction of motion, contrary to Baez's lying claim. All crackpot theoretical physicists are failed mathematicians. |
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