Mike_bb's latest activity
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MMike_bb reacted to anuttarasammyak's post in the thread Undergrad Why is ##(t_1'-t_2')^2## constant in proof(invariance of intervals)? with
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As s=s', s is invariant between IFRs, not its time component quantity you refer. -
MMike_bb reacted to Ibix's post in the thread Undergrad Why is ##(t_1'-t_2')^2## constant in proof(invariance of intervals)? with
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What do you mean by "constant"? It's the difference in time coordinates of two events, so of course it doesn't change. But I don't think... -
MMike_bb posted the thread Undergrad Why is ##(t_1'-t_2')^2## constant in proof(invariance of intervals)? in Special and General Relativity.Hello! When I was proving that coefficient ##a## ##(s'=as)## is equal to ##1##, I noticed that ##(t_1' - t_2')^2## should be constant...
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MMike_bb reacted to Ibix's post in the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems? with
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Relative velocity means the velocity one thing measures the other to have. Here, you've calculated the velocity difference between two... -
MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.At first, I consider two frames: Frame 1: 1m/s Frame 2: 5m/s; (1-5)m/s and (5-1)m/s => absolute value of relative velocity is 4m/s...
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MMike_bb reacted to Sagittarius A-Star's post in the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems? with
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The absolute value of relative velocities is in both cases not ##4m/s##. If the individual velocities of your 4 frames refer to a... -
MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.martinbn wrote: I wrote in more details as martinbn said above:
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MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.##ds_1^2## - interval between two events in frame 1. ##ds_2^2## - interval between the same two events in frame 2. ##ds_3^2## -...
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MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.No. Different pair of events. For two events in the frame 1 and the frame 2: ##ds_1^2## - interval in the frame 1 ##ds_2^2## - interval...
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MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.##ds_1^2## - interval in the frame 1 ##ds_2^2## - interval in the frame 2 ##ds_3^2## - interval in the frame 3 ##ds_4^2## - interval in...
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MMike_bb replied to the thread Undergrad Why can coefficient "a" between spacetime intervals depend on velocity between systems?.Hello! Consider two pairs of frames and their velocities (absolute value of relative velocities are the same): 1) Frame 1: 1m/s Frame...
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MMike_bb reacted to mcastillo356's post in the thread Member and Mentor Appreciation Thread with
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berkeman, pasmith, Mark44,.. So many -
MCongratulations fellow advisors, mentors and homework helpers past, present and to come. PF forever!
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MMike_bb reacted to Greg Bernhardt's post in the thread Member and Mentor Appreciation Thread with
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It's sure been a wild ride this year! Between some AI missteps and breaking LaTeX for a good portion of the year (at least we got dark... -
MMike_bb replied to the thread Undergrad How to define a vector field?.Could you explain how to derive this formula?