Recent content by Sugdub
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Graduate Time dilation why or how, Special Relativity causes
Excellent. I'm ready to follow whichever representation system provided it is internally consistent. According to your suggestion, clocks will be said measuring “time” intervals and thus the twins will effectively "age" differently. Clocks will follow geodesic lines in a 4-dimensions manifold...- Sugdub
- Post #92
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
I think the last post by stevendaryl was very helpful insofar it becomes clear that a clock delivers an invariant measure of a space-time interval along a one-dimensional curve. Since this curve does not, in general, coincide with the time coordinate axis, I think it is misleading to claim that...- Sugdub
- Post #87
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
No, I mean that I've never seen a statement whereby the measure S of a space-time interval varies depending on the path followed end-to-end, I've never seen a statement whereby what a clock measures is nothing else than S along a definite path. These are things you don't find in presentations of...- Sugdub
- Post #86
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
I thank you and stevendaryl for your inputs. Your confirmation that my proposal is fully backed-up by the most generic mathematical formalism of the SR and GR theories is a major step. Due to the logical precedence of the “space-time” concept over its time and space coordinate components, I felt...- Sugdub
- Post #83
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
Hmmm... Let me express some doubts. Considering the responses proposed in #71, 72, 73 and 74, it appears there is no consensus about the actual meaning of the wording “proper time”. Does it refer ... 1- to an amount of “space-time” (here I mean the compound quantity S which is mathematically...- Sugdub
- Post #76
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
You are perfectly right. Time dilation and length contraction relate to different, exclusive classes of space-time intervals. Thanks for this.- Sugdub
- Post #75
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
It took me some time until I could formulate an answer to this. Indeed I have a strong “aversion” to wordings such as “proper time, proper length, clock slowing down” or “running slow”, being “late”... and several more. On second thoughts, I think these wordings are remnants of an ontology - the...- Sugdub
- Post #69
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
I'm afraid the “cause and effect” relationship is not properly spelled out: there are two facets of the same relationship. On the ontological side, the difference between the values displayed by both clocks is due to the constraint which imposes different paths through space-time. On the...- Sugdub
- Post #68
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
Thanks for your input. I see a lot of interesting comments there. I noted in particular your definition of the “elapsed time”, according to which a clock measures a (composite) space-time quantity. As a minimum, its naming convention is misleading and hides a lot of non-intuitive consequences. I...- Sugdub
- Post #53
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
Let's come back to facts: all things equal, the numerical value displayed by the accelerated clock is lower than the numerical value displayed by the inertial clock. This is experimentally true. How should we understand this? Often physicists state that “the elapsed time is what gets measured...- Sugdub
- Post #44
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
Wowww! It's clear I'll have difficulties in answering so many strong criticisms at a time. Thanks to all for your inputs anyway. I'll do my best to address the most pressing ones. Let's consider first the “inertial” clock. It travels from location A to location B at constant speed. The rest...- Sugdub
- Post #37
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
Thanks for this clarification of your position. On the one hand you concur that time dilation cannot be a physical effect, but on the other hand most presentations of the twins experiment tend to show that this genuine physical effect is a consequence of time dilation. Hence your perplexity. …...- Sugdub
- Post #28
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
To be honest I'm not sure we disagree . We are debating on the meaning of “time dilation”. My claim is that “time dilation” relates to a change of the inertial frame of reference, and that an IRF sets a space-and-time framework into which the relative motion between physical objects gets...- Sugdub
- Post #26
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
I did not state, as you seem to believe, that a change of coordinate dependent quantities is relevant to metaphysics. It seems that some misunderstanding is developing here. I qualified as “metaphysical” such statements like “we have jumped into the future or in the past”, “the time flows...- Sugdub
- Post #23
- Forum: Special and General Relativity
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Graduate Time dilation why or how, Special Relativity causes
It's a matter of consistency with other coordinate quantities. If the theoretician decides to move the origin on the time axis, all dates change value but we don't conclude that we have jumped into the future or in the past. Only the formal representation of history has changed. In the same...- Sugdub
- Post #19
- Forum: Special and General Relativity