pervect's latest activity
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.Two dimensional
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Ppervect replied to the thread High School Train Fall Paradox.Not a paradox, but a rather hard problem. To deal with the problem with special relativity, I'd suggest replacing gravity due to mass...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.Sorry for this very late response. My first thought was that you had a good point, but as I was thinking about this more later, and I...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.I've been assuming the answer to this question is, informally, "the shortest path". The mathematical term is the "Levi-Civita...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.I have not read anything definitive on that, but my current thinking is that it's not possible in general, but it may be possible in...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.My intuition leads to a similar conclusion, but I think we would need to clarify what a "beam" is in this context. I am not sure I have...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.I'll start out by giving some (I hope) interesting references on the topic of sector models, which describe an approach to learning...
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Ppervect replied to the thread Undergrad Euclidean geometry and gravity.It's unclear to me what mathematics models a "large sheet of paper" in the current context. So I don't have anything rigorous. But...
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Ppervect replied to the thread Undergrad Synchronizing clocks at different locations to measure speed of light.As I think about the issue more, I h ave to note that my calculations were NOT based on an experimental defintion for energy (or...
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Ppervect replied to the thread Undergrad Synchronizing clocks at different locations to measure speed of light.In the context of my favorite easy-to-understand (though not necessarily most accurate) test of relativity described in "The Ulitmate...
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Ppervect replied to the thread Undergrad Synchronizing clocks in an inertial frame if light is anisotropic.I like the definition of measuring the energy with a calorimeter - or by the ability to penetrate an armor plate if one has a...
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Ppervect replied to the thread Undergrad Synchronizing clocks in an inertial frame if light is anisotropic.I'd agree that the momentum is some constant times the (1, beta,0,0), where beta is the normalized coordinante velocity. (in this...
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Ppervect replied to the thread Undergrad Synchronizing clocks in an inertial frame if light is anisotropic.Well, it looks like I was overcomplicating the analysis. Unless I've made an error (quite possible), [1,0,0,0] and [0,1,0,0] are both...
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Ppervect replied to the thread Undergrad Synchronizing clocks in an inertial frame if light is anisotropic.Just to clarify - this is the geodesic Lagrangian of a free particle, not the relativistic Lagrangian of a free particle, is that...
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Ppervect replied to the thread Undergrad Synchronizing clocks in an inertial frame if light is anisotropic.Yes, I personally think it would be simpler to introduce relativity by means of proper velocity, or as you write it ##dx/d\tau##. Do...
