Recent content by Boustrophedon
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Graduate GPS, GR, satellites and clock speed on the satellites
You've missed the point. The SR kinematical time dilation can be (and was by H&K and subsequent authors) treated independantly of the gravitational effect, which in this instance is irrelevant to O S Richert's question concerning the supposed absence of time reciprocity between rotating clocks...- Boustrophedon
- Post #18
- Forum: Special and General Relativity
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Graduate GPS, GR, satellites and clock speed on the satellites
There seems to be a fair bit of confusion here. Surely the essential point is that unlike uniform linear motion, rotation is not a relative attribute, as even Newton with his spinning bucket was aware, and consequently a rotating clock is not equivalent to a non-rotating one. It will traverse a...- Boustrophedon
- Post #16
- Forum: Special and General Relativity
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Graduate Can All Clocks in an Inertial Frame Simultaneously Read Zero?
Yes. Er, no. I think you mean to say C(x) is stopped at +x/c, otherwise the clocks would not synchronise. In any case your method requires that x be already known for each clock, and the only practicable way of establishing this is with a to-and-fro light signal between already...- Boustrophedon
- Post #7
- Forum: Special and General Relativity
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Graduate Can All Clocks in an Inertial Frame Simultaneously Read Zero?
Yes it is, for a finite number of clocks. Having established from a given clock by pairwise signalling, the round trip light signal time to every other clock, a series of synchronising signals is sent to each specific clock at zero minus [half the round trip time for that clock], upon receipt of...- Boustrophedon
- Post #5
- Forum: Special and General Relativity
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Graduate Velocity Addition in MG and Light Scenarios
I do not believe, and have not said I believe, either of the "not really" and "really" notions you impute to me. One has to be careful, and rather subtle, with the terms 'real/not real' in SR. In SR the constant to-and-fro speed of light necessarily produces a symmetrically relative...- Boustrophedon
- Post #23
- Forum: Special and General Relativity
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Graduate Velocity Addition in MG and Light Scenarios
Now you're drifting into semantics. The time interval seems shorter because B's units of time, that is to say the 'ticks' on a B clock, have become longer, or dilated. If some clock is running at a slower rate than my clock it means that the concept of "a minute" or "the duration represented by...- Boustrophedon
- Post #21
- Forum: Special and General Relativity
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Graduate Velocity Addition in MG and Light Scenarios
Bravo ! A penetrating example of how the meaning of the 'Lorentz' transformations differs markedly between the two theories. However, I think your "misnomer" is misplaced... The inconsistency between time 'dilation' and length 'contraction' stems from the contrary way they are derived from...- Boustrophedon
- Post #19
- Forum: Special and General Relativity
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Graduate Velocity Addition in MG and Light Scenarios
"c+v" and "c-v" are the foundations of the subject I would like to point out that the whole of special relativity is based upon just such additions as 1/(c+v) + 1/(c-v) - as exemplified in section 3 of Einstein's 1905 paper. It is precisely these formulae for relatively moving observers, where...- Boustrophedon
- Post #16
- Forum: Special and General Relativity
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QUeston on lorentz transformation
Assuming you mean 26 years experienced by the explorers means a journey of 20 lightyears in 25 years or 4 lightyears in 5 years. So 4/v is the "stationary" time which is also equal to gamma times travel time = 5.gamma. Thus 4.sqrt(1-v.v) = 5v and hence 41 v squared equals 16 which gives a v =...- Boustrophedon
- Post #5
- Forum: Introductory Physics Homework Help
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Graduate A few questions from introduction to sr by rindler.
Of course you're right that the flashes cannot possibly travel at speed c.c/v. If you have quoted the problem correctly it is clearly misleading since as v approaches zero the velocity would become infinite. Rindler is either confused or being confusing. Two different simultaneous flashes along...- Boustrophedon
- Post #27
- Forum: Special and General Relativity
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Graduate A few questions from introduction to sr by rindler.
The answer to the two photon distance question can be obtained more simply and fully by emitting the photons from the same point in S, a time L/c apart. From S' the clocks in S run slow so the time in S' will be gamma.L/c corresponding to a distance gamma.L. During this time the point of...- Boustrophedon
- Post #25
- Forum: Special and General Relativity
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Graduate A scientist’s transmitter emits a wavelength
Clarifying Einstein synchronisation Simple. It will be 3:30 in the afternoon. Einstein synchronisation means that if a light signal is sent from A to B and instantly returned back to A then B's clock at the moment of reception/return is set to half way between A's emission time and reception...- Boustrophedon
- Post #35
- Forum: Special and General Relativity
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Undergrad Is a uniform gravitational field a gravitational field?
You've missed the crux of the issue. Considering a single point A is no good - it will feel no force regardless of whether it's free falling in a "uniform" field or a "normal" non-uniform one. A uniform field is defined as one in which the equivalence principle holds exactly over an extended...- Boustrophedon
- Post #110
- Forum: Special and General Relativity
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Undergrad Is a uniform gravitational field a gravitational field?
You mean - ...in a region where the Riemann curvature tensor is not zero, surely !?- Boustrophedon
- Post #96
- Forum: Special and General Relativity
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Undergrad Is a uniform gravitational field a gravitational field?
I don't quite see in what way I've 'changed tunes' - perhaps you might amplify ? What I have abbreviated to the 'indistinguishabilty condition' is that the equivalence of a uniformly accelerated reference frame and a 'uniform gravitational field' is such that a laboratory in either situation...- Boustrophedon
- Post #91
- Forum: Special and General Relativity