Everything posted by Genady
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The twin Paradox revisited
Yes, this is clear.
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The twin Paradox revisited
It looks incorrect. Why the three points A, B, and C are on a straight line? And why A is in the middle of that line?
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The twin Paradox revisited
@martillo, The spacetime diagrams are good for qualitative comparisons between events and frames, but to get quantitative comparisons you will have to calculate Lorentz transformations.
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The twin Paradox revisited
And A? Wait, D is signal reception...
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The twin Paradox revisited
I understand that event D is "Observer C receives the signal". What are the events A, B, and C on this diagram?
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The twin Paradox revisited
If you are assuming this, then B and C are not symmetrical, and I can prove it. Since they are not symmetrical, when they meet their clocks and beards will not be equal.
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The twin Paradox revisited
Yes, this is the problem. But we keep trying not to let him do this . PS. I have to go now. We'll be back in about an hour, I think. Otherwise, good night to all.
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The twin Paradox revisited
OK, but note that it is not the same v that appeared in the Lorentz Jr's calculations. So, we got the diagram with observers B and C which meet at some event up there and with C moving toward B with velocity v. What else do we know? Exactly. But in B frame, C moves toward A slower than A moves toward B and yet they meet all together. Thus, C has to be closer to A than B.
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The twin Paradox revisited
If they are equidistant from A in A then they are not equidistant from A in B, at any moment in B. So, what is v? Velocity of which frame relative to which frame? C relative to B? Something else?
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The twin Paradox revisited
I think it will be better if you answer, make mistakes, discuss, and fix them. We already know that Lorentz Jr knows how to solve this. What midpoint? In B frame?
- The twin Paradox revisited
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The twin Paradox revisited
The velocity relative to what?
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The twin Paradox revisited
What is v in the current formulation?
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The twin Paradox revisited
No, it does not. Why would you think so? There is nothing confusing about this diagram, unless one reads into it more than it shows. B and C on the diagram are not events. They mark world lines of observer B and observer C, i.e., the lines, one vertical and the other one tilted. There is no even a mark for t=0. The horizontal line is just a line of events simultaneous in B. I shouldn't even call it x axis, just x line. At some moment in B, the observers B and C are on this line, in the events where it intersects with the world lines of B and C. There is nothing to review, but there is a lot to add to this diagram. Better be done step-by-step. Poco poco.
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The twin Paradox revisited
I don't know what you mean, initially. It just shows that at some moment in B frame, they are on the x axis.
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The twin Paradox revisited
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The twin Paradox revisited
If they are at some distance, then it is not an event. It is two events.
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Heat Flow
What about, e.g., an adiabatic process? No heat flow, but the temperature changes.
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Bouyancy of a contained helium gas ?
It stops rising when the He density inside the balloon equals the atmospheric. Not a pressure.
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Atheism, nature or nurture?
This scenario shows how it could happen. But: 1) Did it actually happen this way? 2) Is religion a necessary ("inevitable") or even the most probable outcome when starting with those innate capacities?
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Atheism, nature or nurture?
From the several examples there, I can see that they interpreted the result in that way, rather than found what they say they did. The same results can be interpreted in different ways. Are there peer-reviewed articles on these studies?
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Atheism, nature or nurture?
Are we? Maybe mysterious but why supernatural? Isn't the latter quite an abstract concept to be wired for? Maybe we are wired to assume causal relations or correlations even when there are none, e.g., black cat - bad luck, but I don't see a necessary connection between such assumptions and religion.
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Zero-point Lorentz transformation (split from The twin Paradox revisited)
almost? When going from frame A to frame B, we use in the Lorentz transformation the speed of B relative to A. When going from frame B to frame A, we use in the Lorentz transformation the speed of A relative to B. These two statements are symmetrical. In fact, I've copied and pasted the first to make the second, and then have simply replaced A by B and B by A. How more symmetrical it can be?
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Heat Flow
Ah, I see. Yes, it is a thermal component of internal energy. It can change without any heat flow, though (in a reference to the OP).
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Heat Flow
Yes, it is. You're talking about enthalpy, right?