Sagittarius A-Star's latest activity
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It seems obvious to me that the finite particle approach can be made to exceed any energy bound, based on extrapolation from my post... -
Isn't that just an artifact of the unphysical uniform density assumption? A single massive particle going in circles approaching c...
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Sagittarius A-Star replied to the thread Undergrad KE of rotating disc.I get from Wolfram Alpha 1.93277 Calculation 1 I get with else original values 4.23555 Calculation 2
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Sagittarius A-Star replied to the thread Undergrad KE of rotating disc.I include in the summation the outer ring N and set it's speed slightly below the speed of light. ##E = \sum_{i=1}^N...
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Sagittarius A-Star replied to the thread Undergrad Another Time Dilation Question.During his acceleration he can consider himself to be at rest in a pseudo-gravitational field, in which twin B ages more quickly than...
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Sagittarius A-Star reacted to Demystifier's post in the thread Undergrad KE of rotating disc with
Informative.
There is one more way to look at the problem, to avoid the continuum distribution of matter in the radial direction. Consider ##N##... -
Sagittarius A-Star replied to the thread Undergrad KE of rotating disc.Close to the speed of light the proper area is ##2\pi R^2## instead of ##\pi R^2##. To keep proper mass density constant, you have at...
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I remember looking at relativistic hoops and disks a long time ago, but I no longer recall most of the details. I do recall Greg Egan...
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So, if you do just treat the rim as one dimensional, with a linear mass distribution per the COM frame, you do get KE unbounded in the...
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Sagittarius A-Star replied to the thread Undergrad KE of rotating disc.The proper area in the non-Euclidean geometry doubles close to the speed of light: ##A(R)= 2\pi \int_0^R \gamma r \, dr= {2 \pi c^2...
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Sagittarius A-Star replied to the thread Undergrad KE of rotating disc.The rest-mass depends on ##\omega## because of internal stress.
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Sagittarius A-Star replied to the thread Undergrad Why is the Lorentz Force always perpendicular to velocity?.Purcell discussed also a scenario, in which, in the lab-frame, the object moves only vertically towards the horizontal conductor. Also...
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Sagittarius A-Star reacted to Demystifier's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with Informative.
Not really the answer to the OP's question, but an interesting observation. Assuming that the mass squared $$m^2=p^{\mu}p_{\mu}$$ does...
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Sagittarius A-Star replied to the thread Undergrad Why is the Lorentz Force always perpendicular to velocity?.I agree, and your calculation-result is equivalent to that of Purcell. I think that Purcell's book addresses students, who did not...
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Sagittarius A-Star reacted to pervect's post in the thread Undergrad Why is the Lorentz Force always perpendicular to velocity? with
Like.
I'm trying to untangle the notation. I am assuming that the lab frame, S, is unprimed, so all unprimed quantites are measured in S...
