Recent content by Sagittarius A-Star

  1. Sagittarius A-Star

    I Synchronizing clocks in an inertial frame if light is anisotropic

    No. At time t[B2] clock B receives light from clock A, that has moved only once over the distance L.
  2. Sagittarius A-Star

    B Trying to calculate proper time of worldlines using rotating frames

    Minkowski ("West Coast" convention, unprimed coordinates): ##ds^2=c^2(dt)^2 -(dx)^2-(dy)^2-(dz)^2## ##ds^2=c^2(dt)^2 -(d(r \cos(\theta)))^2-(d(r \sin(\theta)))^2-(dz)^2## Using rotating, primed coordinates for the special case of ##r## and ##z## being constant: ##\require{color} ds^2=c^2dt'^2...
  3. Sagittarius A-Star

    I Why measure the speed of light in one direction?

    This must be true, because the definition of such coordinates is based on the Einstein clock synchronization, that means on the definition, that the one-way speed of light is the same in opposite directions.
  4. Sagittarius A-Star

    I Why measure the speed of light in one direction?

    That's not completely correct. Before Einstein, when the physically relevant coordinate transformation was thought to be the GT, Maxwell's theory was thought to be strictly true in only one inertial frame - that of still ether. Source: Chapter "6.1 Transformation of the Field Vectors" in W...
  5. Sagittarius A-Star

    I Why measure the speed of light in one direction?

    You could write Maxwell's equations in the following primed coordinates (given any inertial coordinate system x,y,z,t). $$x' = x \ \ \ \ \ y' = y \ \ \ \ \ z' = z \ \ \ \ \ t' = t + \frac{kx}{c}$$Source: https://www.mathpages.com/home/kmath229/kmath229.htm Then the one-way (cordinate-)speed of...
  6. Sagittarius A-Star

    I Confused about time dilation -- motion vs energy

    As others mentioned, that's wrong. The following explanation in a local scenario shows, that "gravitational" time-dilation happens also in flat spacetime. Source: Book "Relativity - Special, General and Cosmological", Second Edition, chapter 1.16 "Gravitational frequency shift and light...
  7. Sagittarius A-Star

    A 1-Way Speed of Light

    Here is a similar thing, Reichenbach's ##\epsilon## https://sites.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/significance_conv_sim/index.html#epsilon Here is another explanation: https://www.mathpages.com/home/kmath229/kmath229.htm
  8. Sagittarius A-Star

    A 1-Way Speed of Light

    As others wrote, this trick does not work. The velocity of the "reset" signal (radio or light) from O to clocks A can be split into a component in direction of the axis of the wheel and a component perpendicular to the axis. The velocity of the "reset" signal (radio or light) from O to clocks B...
  9. Sagittarius A-Star

    A Is the constancy of c a postulate or a derivable theorem?

    That's not completely correct. Before Einstein, when the physically relevant coordinate transformation was thought to be the GT, Maxwell's theory was thought to be strictly true in only one inertial frame - that of still ether. Source: Chapter "6.1 Transformation of the Field Vectors" in W...
  10. Sagittarius A-Star

    A Is the constancy of c a postulate or a derivable theorem?

    Yes. A disadvantage of LET is, that it's "absolute time" is not generally equal to what a clock measures.
  11. Sagittarius A-Star

    A Is the constancy of c a postulate or a derivable theorem?

    Yes. Morin calls it "Relativity without c". Source (see chapter 11.10 on page XI-38): https://bpb-us-e1.wpmucdn.com/sites.harvard.edu/dist/0/550/files/2023/11/cmchap11.pdf via: https://davidmorin.physics.fas.harvard.edu/books/classical-mechanics/
  12. Sagittarius A-Star

    A Is the constancy of c a postulate or a derivable theorem?

    You can do this i.e. by demanding, that a velocity composition in the same direction is commutative plus a few other assumptions, as shown in the following link: https://www.physicsforums.com/threads/only-minkowski-or-galilei-from-commutative-velocity-composition.1017275/ Then the experiment...
  13. Sagittarius A-Star

    I Freefall and gravity

    The principle of equivalence applies. The object is locally at rest with reference to an upward accelerated frame. This situation is equivalent to an object in an accelerated rocket in flat spacetime.
  14. Sagittarius A-Star

    B Time dilation for two clocks at different altitudes on Earth

    This is wrong. It is a common misconception. You have such "gravitational" time-dilation also between bow and stern of an accelerating rocket in flat spacetime. As others asked: What is the reference you are citing?
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