Principles of Time and Space Hiroshige Goto
... identical to the conclusions of special relativity shows that the new Lorentz transformations found by the new octonion are correct. (Chap. 17) Furthermore, it is shown that the results of special relativity can be explained without contradiction if mass and energy are viewed as the time part of th ...
... identical to the conclusions of special relativity shows that the new Lorentz transformations found by the new octonion are correct. (Chap. 17) Furthermore, it is shown that the results of special relativity can be explained without contradiction if mass and energy are viewed as the time part of th ...
Contents - Le World Home Page
... speed of 60 miles per hour, you throw a ball up in the air. Where does it land? Straight down into your hand if you do not move. This observation would be identical if you carried out the same experiment standing in your living room. The law of gravity works the same way in either case. Yet you were ...
... speed of 60 miles per hour, you throw a ball up in the air. Where does it land? Straight down into your hand if you do not move. This observation would be identical if you carried out the same experiment standing in your living room. The law of gravity works the same way in either case. Yet you were ...
Contents - Perimeter Institute
... Each GPS satellite orbits at a distance of 2.66 x 107 m from Earth’s centre at a speed of 3.874 x 103 m/s. Each satellite has a mass of 2.0 x 103 kg. a) What is the kinetic energy of a GPS satellite? b) What is the gravitational potential energy of a GPS satellite? c) What is the total energy of a G ...
... Each GPS satellite orbits at a distance of 2.66 x 107 m from Earth’s centre at a speed of 3.874 x 103 m/s. Each satellite has a mass of 2.0 x 103 kg. a) What is the kinetic energy of a GPS satellite? b) What is the gravitational potential energy of a GPS satellite? c) What is the total energy of a G ...
The concept of mass (mass, energy, relativity)
... It is easy to see that for a slow electron, with /?<^1> the expression in the square bracket reduces to r, and, bearing in mind that E0/c2 = m, we return to Newton's nonrelativistic formula. However, for v/c~\ or v/c = 1 we encounter a fundamentally new phenomenon, namely, the quantity that plays th ...
... It is easy to see that for a slow electron, with /?<^1> the expression in the square bracket reduces to r, and, bearing in mind that E0/c2 = m, we return to Newton's nonrelativistic formula. However, for v/c~\ or v/c = 1 we encounter a fundamentally new phenomenon, namely, the quantity that plays th ...
It can be inferred that the right side of the equation represents the
... It has been shown if this is true, then the length of a photon will vary accordingly. The coordinated changes of these two properties of photons cause the speed of light to measure as the same constant everywhere. The acceleration of light is thereby masked. However, some effects of these two proper ...
... It has been shown if this is true, then the length of a photon will vary accordingly. The coordinated changes of these two properties of photons cause the speed of light to measure as the same constant everywhere. The acceleration of light is thereby masked. However, some effects of these two proper ...
Relativity
... motion of the reference frame. He examined Maxwell’s ideas as applied to a frame-ofreference experiment that required only a magnet and a closed coil of wire. Einstein used a method called a thought experiment, which is an experiment carried out in the imagination but not actually performed. A thoug ...
... motion of the reference frame. He examined Maxwell’s ideas as applied to a frame-ofreference experiment that required only a magnet and a closed coil of wire. Einstein used a method called a thought experiment, which is an experiment carried out in the imagination but not actually performed. A thoug ...
Why did Einstein`s Programme supersede Lorentz`s? (II)
... Relativity which applies to mechanics butjapparently not to electrodynamics.1 In view of the Galilean transformation which physicists took for granted, Maxwell's equations seem to presuppose the existence of an ether, or at any rate of a unique frame of reference in which they would hold good. Asses ...
... Relativity which applies to mechanics butjapparently not to electrodynamics.1 In view of the Galilean transformation which physicists took for granted, Maxwell's equations seem to presuppose the existence of an ether, or at any rate of a unique frame of reference in which they would hold good. Asses ...
Abstract.
... thinking, can ever fall into it." (See Hoffman, 1983.) But mediation requires propagation, and finite bodies should be incapable of propagate at infinite speeds since that would require infinite energy. So instantaneous gravity seemed to have an element of magic to it. The second objection was that ...
... thinking, can ever fall into it." (See Hoffman, 1983.) But mediation requires propagation, and finite bodies should be incapable of propagate at infinite speeds since that would require infinite energy. So instantaneous gravity seemed to have an element of magic to it. The second objection was that ...
c - APPhysics-PHY101-PHY111-PHY112
... this? How many watts? Much of this energy is wasted in conversion to electrical power. SOLUTION: ●E0 = m0c2 = 30(3108)2 = 2.71018 J. ●P = E0 / t = 2.71018/ [365243600] = 8.61010 W. ...
... this? How many watts? Much of this energy is wasted in conversion to electrical power. SOLUTION: ●E0 = m0c2 = 30(3108)2 = 2.71018 J. ●P = E0 / t = 2.71018/ [365243600] = 8.61010 W. ...
33 Special Relativity - Farmingdale State College
... observer on the shore sees the rock fall into the water behind the boat rather than back onto the same point on the boat from which the rock was launched. Because the boat has accelerated while the rock is in the air, the boat has a constantly increasing velocity while the horizontal component of th ...
... observer on the shore sees the rock fall into the water behind the boat rather than back onto the same point on the boat from which the rock was launched. Because the boat has accelerated while the rock is in the air, the boat has a constantly increasing velocity while the horizontal component of th ...
2 Spacetime and General - Farmingdale State College
... (d)2, (ds)2 is equal to zero. In this case, (dx) = d = (cdt). Hence, dx = cdt, or dx/dt = c. But dx/dt is a velocity. For it to equal c, it must be the world line of something moving at the speed of light. Thus (ds)2 = 0 represents a light ray and the world line is called lightlike. Lightlike worl ...
... (d)2, (ds)2 is equal to zero. In this case, (dx) = d = (cdt). Hence, dx = cdt, or dx/dt = c. But dx/dt is a velocity. For it to equal c, it must be the world line of something moving at the speed of light. Thus (ds)2 = 0 represents a light ray and the world line is called lightlike. Lightlike worl ...
Acceleration
... osculating circle at time t. These components are called thetangential acceleration at and the radial acceleration, respectively. The negative of the radial acceleration is thecentripetal acceleration ac, which points inward, toward the center of curvature.(See Figure 2.) Extension of this approach ...
... osculating circle at time t. These components are called thetangential acceleration at and the radial acceleration, respectively. The negative of the radial acceleration is thecentripetal acceleration ac, which points inward, toward the center of curvature.(See Figure 2.) Extension of this approach ...
Chapter 11 RELATIVITY
... a.) The first assumption--that ether does not exist--is a direct consequence of the Michelson-Morley experiment. It was a bold step, letting go of the theoretical mechanism that explained light's ability to travel through a vacuum--a step many physicists of the day were not willing to take. Einstein ...
... a.) The first assumption--that ether does not exist--is a direct consequence of the Michelson-Morley experiment. It was a bold step, letting go of the theoretical mechanism that explained light's ability to travel through a vacuum--a step many physicists of the day were not willing to take. Einstein ...
Physics as Spacetime Geometry
... efforts of many brilliant physicists. It is not inconceivable to assume that the present state of fundamental physics may be caused by some metatheoretical problems, not by the lack of sufficient experimental evidence and talented physicists. I think the major metatheoretical reason for most difficu ...
... efforts of many brilliant physicists. It is not inconceivable to assume that the present state of fundamental physics may be caused by some metatheoretical problems, not by the lack of sufficient experimental evidence and talented physicists. I think the major metatheoretical reason for most difficu ...
Black Holes and Special Relativity
... Michelson-Morley experiment: no difference Einstein showed that this can be explained assuming the speed of light is constant for all observers ...
... Michelson-Morley experiment: no difference Einstein showed that this can be explained assuming the speed of light is constant for all observers ...
The Project Gutenberg eBook #36276: The Meaning of Relativity
... By the aid of speech different individuals can, to a certain extent, compare their experiences. In this way it is shown that certain sense perceptions of different individuals correspond to each other, while for other sense perceptions no such correspondence can be established. We are accustomed to ...
... By the aid of speech different individuals can, to a certain extent, compare their experiences. In this way it is shown that certain sense perceptions of different individuals correspond to each other, while for other sense perceptions no such correspondence can be established. We are accustomed to ...
Homework - Exam From last time… Time dilation, length contraction
... • Trying to make sense of relativity using space and time separately leads to effects such as time dilation and length contraction • In the mathematical treatment of relativity, space-time and energy-momentum objects are ...
... • Trying to make sense of relativity using space and time separately leads to effects such as time dilation and length contraction • In the mathematical treatment of relativity, space-time and energy-momentum objects are ...
Anisotropy of Inertia from the CMB Anisotropy
... curvature of space-time, R = Rµµ = Rµν g µν is the curvature scalar, Λ the cosmological constant, and Tµν is the stress-energy tensor of matter. Conceptually, the field equations of general relativity are derived by applying general covariance to the strong principle of equivalence [13]. The strong ...
... curvature of space-time, R = Rµµ = Rµν g µν is the curvature scalar, Λ the cosmological constant, and Tµν is the stress-energy tensor of matter. Conceptually, the field equations of general relativity are derived by applying general covariance to the strong principle of equivalence [13]. The strong ...
Appendix B: On inertial forces, inertial energy
... to its acceleration. It is this resistance, commonly called inertia, which experimentally distinguishes accelerated from inertial motion. Due to the fact that the presence or the absence of a particle’s resistance to its motion is absolute or frame-independent, both accelerated and inertial motion a ...
... to its acceleration. It is this resistance, commonly called inertia, which experimentally distinguishes accelerated from inertial motion. Due to the fact that the presence or the absence of a particle’s resistance to its motion is absolute or frame-independent, both accelerated and inertial motion a ...
to the whole? - Vasil Penchev
... The simplest special case is then when the vector space is “flat”: the vector space coincides with its conjugate space (for example Riesz ...
... The simplest special case is then when the vector space is “flat”: the vector space coincides with its conjugate space (for example Riesz ...
On inertial forces, inertial energy and the origin
... particle offers to its acceleration. It is this resistance, commonly called inertia, which experimentally distinguishes accelerated from inertial motion. Due to the fact that the presence or the absence of a particle’s resistance to its motion is absolute or frameindependent, both accelerated and ine ...
... particle offers to its acceleration. It is this resistance, commonly called inertia, which experimentally distinguishes accelerated from inertial motion. Due to the fact that the presence or the absence of a particle’s resistance to its motion is absolute or frameindependent, both accelerated and ine ...
Speed of Light
... Michelson & Morley determined that their apparatus was sensitive to about 0.01 shifts, and they expected NO LESS than 0.20 shifts. RESULT: Michelson & Morley detected about 0.01 shifts - a null result! Either the earth is stationary in the universe, (which we know it isn’t), or there is something wr ...
... Michelson & Morley determined that their apparatus was sensitive to about 0.01 shifts, and they expected NO LESS than 0.20 shifts. RESULT: Michelson & Morley detected about 0.01 shifts - a null result! Either the earth is stationary in the universe, (which we know it isn’t), or there is something wr ...
The Genesis of the Theory of Relativity
... velocity of the ether across this substance is αu, where α is the dragging coefficient and u is the absolute velocity of the substance (the absolute velocity being that with respect to the remote, undisturbed parts of the ether). Therefore, the velocity of light along the element dl of an arbitrary ...
... velocity of the ether across this substance is αu, where α is the dragging coefficient and u is the absolute velocity of the substance (the absolute velocity being that with respect to the remote, undisturbed parts of the ether). Therefore, the velocity of light along the element dl of an arbitrary ...
6perPage
... • Suggests that the concepts of space, time, momentum, energy that were useful to us at low speeds for Newtonian dynamics prove to be a little confusing near light speed. ...
... • Suggests that the concepts of space, time, momentum, energy that were useful to us at low speeds for Newtonian dynamics prove to be a little confusing near light speed. ...