> > < The proposed experiment is designed to detect the absolute > motion of earth through measurement of tiny differences in up-link > and down-link signal propagation times between two fixed points A > and B,but without relying on the wave properties of light. >
> Let light be a disturbance moving at c through a local space taken > as stationary. Let A and B be two points 1 unit apart on the Y axis > of system K that is moving through this space at .6c in the x > direction. At t = 0 let a ray of light emit from A toward B and > reflect therefrom back to A. > As plotted by a system k' at rest in this space, with its X' axis > coinciding with X of K and its vertical axes parallel to those of K, > the ray moves up Y at c' = qc, where q = sqrt of (1 - v^2/c^2), thus > takes t' = 1.25 seconds each way. In order for K to measure this as 1 > secodn each way, thus to let c' = 1 as plotted by K, clocks of the > moving system have to run slow by q, wherefore t = qt = .8 x 1.2 each > way. (Note that the path of the beam is on the hypotenuse of a right > triangle, of which Y is one side and vc is the length of the other. > given that B is 1 unit from A on Y, then AB = 1 is the length of Y as > measured by both systems; and the hypotenuse is 1.2 units long as > measured by k; which is WHY ittakes a ray 1.25 seconds to get from A > to b as plotted by stationary cs k. > HOWEVER!! There is no reason to let moving systems clocks run slow > by q or for their vertical axes to remain undeformed while their > horizontal axis shrinks by q. Suppose, for instance, that lengths > remain constant in the direction a system is moving through the above > stationary space. If its lengths EXPAND by 1/q in the vertical axes > and its clocks run slow by q = q^2 = (c^2-v^2), then it would measure > the light's time from A to B and from B to A, thus up and then down Y > or Z as t = 1 second, and the speed of light would remain c = 1 unit/ > sec as plotted by K. > Suppose that lengths in the vertical axes SHRINK by q. then clocks > of moving systems could keep identical rates as stationary ones and it > would still take 1 second for a ray to travel up 1 unit on y and back > again. (If that happens, then lengths in the direction of motion would > have to shrink by Q in order to measure the round-trip time as 1 > second per unit of length, thus for c to remain equal to 1 as plotted > by the moving systems. As to the one way times per unit length of such > deformed systems, unless clocks of each such system is set to MEASURE > c = 1 in all directions - i.e. to be esynched via Einstein's defined > method which he called "synchronized" - they won't.)
> p.s. If we let moving systems deform as per the LTE - thus let > lengths remain constant in the vertical axes and shrink by q in the > direction of motion, with clocks running q slow - and consider the > first case discused above, then even though rays would travel up and > down Y in 1 second each way as plottted by k, the ray would have > emitted from x=y=x'=y'=0 and would return to x=y=y'=0 as plotted by k > and k; but would NOT have returned to x' = 0 as plotted by the > stationary system k! It would return to x' = 0 + 2vt'; which is WHY > the moving clocks on X have to have a Voigtian local time offset of - > vx/c^2 seconds per successive clock, in which x is the distance > between two such clocks as measured by the given moving system itself, > and v - which doesn't have to be known by the esyching cs - is its > speed in the 'empty space" in which Einstein postulated that light > moves at c.
> glird
Why should any spatial length SHRINK or EXPAND when a 'photon' or an 'observer' passes by? I hope you are aware that any shrinkage or expansion of a spatial length always induces a strain field in the region and that all strain fields are subjected to certain physical constraints like continuity of associated displacements and equilibrium of associated stresses.
Consider a steel rod of length L laid along X-axis of a stationary reference frame K. Suppose there are n 'witches' (W1, W2, W3, ..., Wn) flying along the X-axis at uniform velocities of V1, V2, V3,...,Vn respectively. If we assume that the length L of the steel rod will actually become L1 for witch W1, L2 for W2, L3 for W3 and Ln for the witch Wn, will you call it Witchcraft or Relativity?
Now consider two point A and B fixed on the surface of earth and separated by distance D. Let us position two identical atomic clocks at A and B and ensure their absolute synchronization. When we send a laser pulse from location A to B, we can arrange to record the up-link pulse propagation time Tu from the instantaneous transmission and reception time readout of the atomic clocks A and B respectively. Similarly we can record the down-link time Td for the pulse propagation from B to A.
As per Relativity, the up-link signal propagation time Tu is SUPPOSED to be equal to the down-link signal propagation time Td in any stationary reference frame when the two clocks A and B are stationary in that reference frame (Tu = Td). But when the two clocks are moving along AB with a common velocity U, the up-link and down-link signal propagation times will no longer be equal (Tu <> Td). However, when the two clocks A and B are SIMULTANEOUSLY at rest in the local or Lab frame and in motion in the BCRF and the Galactic reference frames, the up-link and down-link signal propagation times Tu and Td will be required to be simultaneously equal and unequal at the same time. If you can make two physical measurements Tu and Td to be equal and unequal at the same time, will you call it Relativity or Witchcraft?