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...for the Addition of Many Subluminal Velocities: 27 1.7. Generalization of Einstein’s Thought Experiment with the Light Clocks for Arbitrary Ultimate Velocity K: 35 1.8. Generalization of the Relativistic Addition Formula for Arbitrary Ultimate Velocity K: 37 1.9. Generalized Lorentz Factor: 39 1.10. Generalized Minkowski Norm: 39 1.11. Generalized Time Dilation: 39 1...

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...n his 1905 paper, specifically took the rate of a clock's timekeeping to be velocity-dependent only. However [there are] those who object. In this b... ...equency just as an electric spark causes space to "vibrate" at its resonant velocity, c, showing why the speed of a beam of light is independent of o... ... to his 1905 landmark paper, he wrote. “From this we conclude that... the velocity c plays the part of a limiting velocity, which can neither be r... ...less than his stay-at-home sibling? Is that what the dilation of time with velocity means? Is that kind of "time travel" an assured, preordained t... ...LITION angle brackets enclose paraphrasings Its construction - <The velocity of light acts as an infinite velocity.> ...A. Einstein, his lan... ... time." ...H. Lorentz, 1927 <The relativistic increase of mass with velocity may be only a sort of kinematical perspective.> ...Richtmyer &... ...ve.> ...M & M <The speed of light cannot be exceeded.> <Mass grows with velocity.> ... Z & Z (typical popularization) "It is difficult to go ... ...del Sachs, late 2004 Its demolition - <It is indeed known that the velocity of light is no speed limit.> ...Robert Parmenter, physicist, U ... ...> ...Mendel Sachs, 1972 <Practitioners know that mass does not grow with velocity.> ...Don Lincoln, research physicist, Fermilab, 2005 Cutting...

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...tremely fast, it will begin to shrink. According to Newton, regardless of the velocity, the stick will remain as it is. Thus, we have two competing ... ..., but it would also be true if we were to accelerate the speed to such a high velocity that we could actually see the stick shrinking. If science di... ... as “spots of scent.” Then, Einstein dis- covered that changing the observer’s velocity produced a funda- mentally different picture of reality. These...

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...surement, language, events, quants, units and so on. The private, macroscopic, low velocity instances of our physical descriptions of the universe ...

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...ox emerged when Edwin P. Hubble formulated the law according to which the velocity with which celestial bodies move apart (from each other) is direct...

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...e. D’Alembert’s equations of the feld show that this speed is equal to the velocity of light corrected by gravitational potential. The approach leads ... ...g a free wave. There is the time term 1 a 2 ∂ 2 ∂t 2 containing the linear velocity a of the wave. For this reason, in the case of gravitational felds... ...the result may be different according to the way we defne the speed as the velocity of waves of the metric, or something else. The usual approach sets... ... ∂ 2 ∂t 2 − ∂ 2 ∂x 2 ζ β α =0, so weak waves of the metric travel at the velocity of light in empty space. This approach leads to an experiment, bas... ...bert equations of the metric to within higher order terms withheld, so the velocity of waves of the metric calculated from the equations is not an exa... ...t d’Alembert equations for the force feld, giving an exact formula for the velocity of waves of the force; (2) Experiments to register waves of the fo... ...k k = ∂ln √ h ∂t , where w is gravitational potential, v i is the linear velocity of the space rotation, h ik =−g ik + 1 c 2 v i v k is the chr.inv.... ...0 ∂w ∂t ∂F i ∂t , so waves of gravitational inertial force travel at a velocity u k , the square of which isu k u k =c 2 g 00 and the modulus u= p... ...gible but its gradientF i is non-zero, the speed of gravitation equals the velocity of light; (2) According to this formula, the speed of gravitation ...

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...−g αβ +b α b β which fully defne his real reference space (here b α is his velocity with respect to his real references). Thus, the chr.inv.-projectio... ... , (4) wherew is gravitational potential,v i =−c g 0i √ g 00 is the linear velocity of the space rotation, h ik =−g ik + 1 c 2 v i v k is the chr.inv.... ...placement along his spatial section is dx i =0, so its observable chr.inv.-velocity vector equals zero;v i = dx i dτ =0. Such a particle moves only al... ...ic” observable component of a time den- sity feld manifests as the angular velocity Aik of the space rotation. In accordance with the above, two parti... ...is the time density feld tensor and U β is the particle’s four-dimensional velocity . Taking chr.inv.-projections of (31) multiplied by c 2 , we obt... ...r the feld tensor F αβ (11–15) and taking into account that the observable velocity of the particle we are considering is v i =0, we transform the chr... ...ndex) form, are m 0 cF α∙ ∙σ U σ =0, (59) whereU σ is the four-dimensional velocity of the particle. The left side of the equations has the dimensions... ...The termA ik A ik here, being expressed through the space rotation angular velocity pseudovector Ω i , is A km A km =ε kmn Ω n A km =2Ω n Ω n ... ... non-zeroes) and replacing the tensor A ik with the space rotation angular velocity pseudovector Ω m in the form ε mik Ω m = 1 2 ε mik ε mpq A pq ...

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... obtain: Fig.13. The Tilting of A’s Simultaneous Spaces Due to His Velocity. 51 A is totally unaware of this tilting effect on his si... ...uite stunning, as you shall see! As you would expect, the greater the velocity, the more pronounced the tilting of the simultaneous spaces, wh... ...ds, the red arrow actually represents a particle travelling with a certain velocity through three spatial dimensions relative to another observer, ...

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...ple of relativity and was the first to present the Lorentz transformations in their modern symmetrical form. He discovered the remaining relativistic velocity transformations and recorded them in a letter to Lorentz in 1905. Thus he obtained perfect invariance of all of Maxwell's equations, an important step in the formulation of the theory of special relativity. (Summary ...

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... Model." Top - The pattern of isochrons from a particle moving at the velocity of light; the barrier is evident; Center - The pattern as a pa... ...s evident; Center - The pattern as a particle accelerates through the velocity of light; note that there is no longer a barrier in evidence; ... ... Bottom - The pattern corresponding to a particle moving at twice the velocity of light; the Cerenkov shockwavefront is clearly shown. Isochr... ...the craft could accelerate almost indefinitely at one g! Bussard put the velocity at which the ramjet "bites" (its minimum operational velocity) at ... ...xample; the Light Barrier is another. And when we speak of measuring the velocity of a ship as it approaches the velocity of light, a fact that is ... ... with the ship" the KE [kinetic energy] for a given mass "ship" at a given velocity will increase if relativity is correct or [will not] if Tilton is... ...n made that if a rocket simply accelerates long enough it will exceed the velocity of light. / To see if this is true one needs to solve for the equ... ...s measured in the fixed frame, is one light year per year. / The limiting velocity of material objects is the speed of light. / The argument has bee... ...rticle accelerators which accelerate particles near, but never beyond the velocity of light. Time dilation has been verified by measuring the lifet...

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... globus tern-- pore r in me&o refifiente, per refiltentiam R in duplicata velocity- tis l-atione decrefcentem, amittet motns fni M partem tM rpp m...

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...away. The waters were strong with rain, and it was pretty to see with what velocity the boat was carried on some hundred of yards in advance of the ot...

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...ing branch came in sight; and, quickening its progress with the increasing velocity of the current, it swept swiftly down towards the Pathfinder, who ... ...r even three miles in the hour. On the rifts it even dashed forward with a velocity that was appalling to the unpractised eye. Jasper was of opinion t... ...he bore. For eight hours did she scud in truth; and it was almost with the velocity of the gulls that wheeled wildly over her in the tempest, apparent... ... position well,” said Cap, as the cutter flew down towards the ship with a velocity almost equal- ling that of the gale, “for he is standing boldly to... ...ing of the swells would seem at times to wash her down to lee- ward with a velocity as great as that of the surges themselves. During this night Cap s... ...as now fresh enough to urge the Scud through the water with consid- erable velocity, and Jasper eased her helm as she opened the river, and luffed nea... ... seen flying 360 The Pathfinder past the openings of the verdure with the velocity of a fast-trav- elling horse—resembling a cloud driving in the hea... ...neath her bows in foam. Al- though she was under so very short canvas, her velocity was great, and there could not have elapsed ten minutes between th...

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...sto- ration? The apartment that is to restore me is a wind-trap, cunningly set to inveigle all the draughts in that country- side, and to communicate ... ... an oval trans- parency in the window, which looked beautiful by night, representing one of Timpson’s coaches in the act of passing a milestone on the... ...berth. ‘All’s well!’ Comforting to know, though surely all might be better. Put aside the rolling and the rush of water, and think of darting through ...

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...lightning, she ran up the stairway, without light, without noise, with the velocity of an arrow, and saw her father with a pistol at his head. “Take a...

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...e!” said the boy; and presently took to his heels across the heath, with a velocity which baffled every attempt of T ressilian to overtake him, loaded... ... place, he set them the example by running homeward with the same uncommon velocity with which he had baffled T ressilian’s former attempts to get hol...

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...e.” While he spoke, Emma’s mind was most busy, and, with all the wonderful velocity of thought, had been able—and yet without losing a word—to catch a...

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...; but in my disappointment I had to admire Hermann’s presence of mind. The velocity that stodgy man developed in the interests of a complete stranger ...

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...dicated a mass of flaming gas, chiefly hydrogen, moving with an enor- mous velocity towards this earth. This jet of fire had become invisible about a ...

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...ction in- vesting the mail itself, which features at that time lay—1st, in velocity unprecedented; 2dly, in the power and beauty of the horses: 3dly, ...

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...movements nor graceful nor awkward. It came and went with a certain sexual velocity, a velocity whose 117 e e cummings health and vigour made everyon... ...he man in the shafts leaning back with all his might to off- set a certain velocity promoted by the down grade, while the man behind tugged helpingly ... ...milar piece, brought it in- stantly forward and sideways with incognisable velocity and delivered such an immense wallop as smoothed The Young Pole ho...

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...forward then and now and forever, Gathering and showing more always and with velocity, Infinite and omnigenous, and the like of these among them, Not ...

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...pretended that gravity depends on this diurnal motion; for, say these, the velocity of the subtile matter that turns round our little vortex, must be ... ...must be seventeen times more rapid than that of the earth; or, in case its velocity is seventeen times greater than that of the earth, its centrifugal... ...system. But the theorist, be- fore he calculated the centrifugal force and velocity of the subtile matter, should first have been certain that it exis... ...ther in their Aphelia, and a little nearer in their Perihelia; the earth’s velocity, for instance, 56 Letters on England ought to be greater when it ... ... which should make a body fall from the height of the moon, would make its velocity no more than fifteen Paris feet in a minute of time. Now, if the l... ...her power that acted upon all those bodies, it would either increase their velocity or change their direction. Now, not one of those bodies ever has a... ...ection. Now, not one of those bodies ever has a single degree of motion or velocity, or has any direction but what is demonstrated to be the effect of... ...ut seven minutes, though a can- nonball, which were not to lose any of its velocity, could not go that distance in less than twenty-five years. How gr...