Recent content by Sagittarius A-Star
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Graduate About the definition of Born rigidity
I think for clarificaion one should distinguish between one-way- and two-way speeds. For applying the LT for a segment of the rim of the disk, one defines (not assumes) that the one-way speed of light is isotropic for synchronizing clocks, fixed to the rim of the disk. For "measuring" a...- Sagittarius A-Star
- Post #32
- Forum: Special and General Relativity
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Graduate About the definition of Born rigidity
Regarding "But here the static rulers in O_r should be twice as long": This is only true, if you apply the standard Lorentz transformation. You can do this only if you define, that the one-way speed of light with reference to O_r is the same clockwise and counterclockwise. But you can do this...- Sagittarius A-Star
- Post #30
- Forum: Special and General Relativity
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Undergrad Small question about constantly accelerating charges
According to Wolfgang Rindler, the EP cannot be applied to the "paradox" of an accerated charge, because it's field is not local. An electric charge at rest on the surface of the earth does not radiate by energy conservation. A charge, fixed inside an orbiting satellite, does radiate. Source...- Sagittarius A-Star
- Post #8
- Forum: Electromagnetism
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Graduate Can a causal or time-like structure emerge without assuming a metric?
Maybe this helps: https://www.wolframphysics.org/technical-introduction/potential-relation-to-physics/time-and-spacetime/ via: https://www.wolframphysics.org/technical-introduction/- Sagittarius A-Star
- Post #24
- Forum: Special and General Relativity
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Undergrad Photons & Time: t=0 What?
For example: If you send a light pulse from Earth to Alpha Centauri, then the spacetime-interval between the emition-event on Earth and the absorbtion-event on Alpha Centauri is zero. But a spacetime-interval along a worldline is called "proper time" only for time-like worldlines, not for...- Sagittarius A-Star
- Post #22
- Forum: Special and General Relativity
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Undergrad Photons & Time: t=0 What?
For example: The distance from Earth to Alpha Centauri is 4.367 LY. If you travel with 99.99999999 % light speed (relative to Earth) to there, then the distance is length-contrated in your rest-frame by a factor of ##1/70710.7##. Calculation of gamma-factor...- Sagittarius A-Star
- Post #13
- Forum: Special and General Relativity
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Graduate Can a causal or time-like structure emerge without assuming a metric?
Maybe that helps: Source: https://en.wikipedia.org/wiki/CPT_symmetry#Derivation_of_the_CPT_theorem- Sagittarius A-Star
- Post #16
- Forum: Special and General Relativity
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Graduate Can a causal or time-like structure emerge without assuming a metric?
In classical physics, the only "asymmetric" law, which contains an arrow of time, is the the second law of thermodynamics.- Sagittarius A-Star
- Post #14
- Forum: Special and General Relativity
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Is A.I. more than the sum of its parts?
I have the suspicion, that the following physics videos are also AI fake: https://www.youtube.com/@TheUniverseAccordingtoSusskind https://www.youtube.com/@PhysicswithFeynman-1- Sagittarius A-Star
- Post #241
- Forum: General Discussion
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Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?
The absolute value of relative velocities is in both cases not ##4m/s##. If the individual velocities of your 4 frames refer to a certain unnamed inertial reference frame, then you must use the relativistic velocity addition formula. From equation ##(2.6)## in the scan in the OP (posting #1)...- Sagittarius A-Star
- Post #30
- Forum: Special and General Relativity
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Undergrad Linear vs rotary motion
Mach described it in the following way: Source (chapter 2 "Nonrelativistic Machian Theories" , page 109): https://www.amazon.com/-/he/Machs-Principle-Newtons-Quantum-Einstein/dp/0817638237?tag=pfamazon01-20 Original German text "Mach, Ernst: Die Geschichte und die Wurzel des Satzes von der...- Sagittarius A-Star
- Post #7
- Forum: Special and General Relativity
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Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime
Derivation of the Lorentz transformation in Minkowski spacetime diagrams:- Sagittarius A-Star
- Post #3
- Forum: Special and General Relativity
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Undergrad Derive the Lorentz transformation in Minkowski four-dimensional spacetime spacetime
The ##x'## axis rotates counter-clockwise (hyperbolic rotation of the coordinate system), see https://www.geogebra.org/m/NnrRvA46 Also, the scales of the ##ct'## and ##x'## axes change with velocity. This keeps the speed of light in vacuum (45° world-line) the same in both coordinate systems.- Sagittarius A-Star
- Post #2
- Forum: Special and General Relativity
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Undergrad Revisiting the Light Clock
The usual light clock does not contain sources of light located on a flat inclined surface. Both mirrors are oriented horizontally. I calculated an approximation for a small angle in posting #18 of the old thread. You should also use the full Lorentz transformation, to account for the...- Sagittarius A-Star
- Post #17
- Forum: Special and General Relativity
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Undergrad Revisiting the Light Clock
This doesn't exist. But you can for example approximate locally a (small) segment of a spherical wave-front by a plane, because the surface of a sphere is locally flat. Garbage in -> garbage out (see above) To understand why the light clock works, you need to understand the following key...- Sagittarius A-Star
- Post #10
- Forum: Special and General Relativity