L1
Length (m)

angle d L1 arm (deg.)

Path L1 Lorentz contraction ( aLC )

velocity of local frame (m/s)













a=SQRT(1v^2/(c^2))












L2 Length (m)

angle d L2 arm (deg.)


Refractive index (n) of arms













Path L2 Lorentz contraction ( aLC )


X

L1 Arm

L2 Arm

L1p

L2p

Source

Detector


Stationary light speed C
(m/s)

Avg Time Dilation factor in v frame ( at )

a=SQRT(1v^2/(c^2))

l in vacuum
(m)





















Optical Path
L1:

C': 1/(n/c+v/c^2
* cosd
+v^2n/2c^3(1+cos^2d))

Total Newtonian Time t

Local time Dilated









t'F
(sec)

t'R (sec)

t' average (sec)

t' average (sec) * at

































C'F
(m/s)

C'R (m/s)

C' average (m/s)

C' average (m/s) / at









Optical Path L2:

C': 1/(n/c+v/c^2 * cosd +v^2n/2c^3(1+cos^2d))

Total Newtonian Time t

Local time Dilated









t'F
(sec)

t'R (sec)

t' average (sec)

t' average (sec) * at

































C'F
(m/s)

C'R (m/s)

C' average (m/s)

C' average (m/s) / at









Local time
dilation at position L1p along the optical path

time difference at detector (sec)









distance L1p (m)

Newtonian time at L1p (sec)

local time in v frame at L1p (sec)




c/n







L1p/(c/n)

L1F * aLC /
C'F + L1R *aLC / C'R









Forward Trip (m)



Fringe Shift at Detector (l)



L1 Length (m)



L2 Length (m)





Newtonian time *at at
L1p (sec)

time dilation Newtonian  local (sec)











Reverse trip (m)

L1p*at/(c/n)

L1/(c/n)(L1F*aLC/C'F+L1R*aLC/C'R )










Local Time Dilation at Position
L1p






Local time dilation at position L2p along the optical path

[L1/(c/n)(L1F*aLC/C'F+L1R*aLC/C'R)]/[L1*at/(c/n)L1/(c/n)]



Clock position L1p (m)



Clock Position L2p (m)




distance L2p (m)

Newtonian time at L2p (sec)

local time in v frame at L2p
(sec)












L2p/(c/n)

L2F * aLC /
C'F + L2R *aLC / C'R

* at










Forward Trip (m)



Local Time Dilation at Position
L2p








Newtonian time * at at
L1p (sec)

time dilation Newtonian  local (sec)

[L2/(c/n)(L2F*aLC/C'F+L2R*aLC/C'R)]/[L2*at/(c/n)L2/(c/n)]



L1 Path Angle (deg.)



L2 Path Angle (deg.)




Reverse trip (m)

L2p*at/(c/n)

L2/(c/n)(L2F*aLC/C'F+L2R*aLC/C'R)














* at






This spreadsheet is a simulation of a Michelson
interferometer similar to the Shamir and Fox Experiment of 1969. In this
simulation using Lorentz Ether Theory (LET) the source and detector are at
the origin (0,0) and the interferometer is moving to the left at the velocity
of the local frame (adjustable above). The refractive index along the optical
arms is adjustable, as well as the length of each arm and its angle to the
motion. This simulation demonstrates that in the transformation from the
stationary to moving state the speed of light will appear to be C no matter
how the interferometer is adjusted  it demonstrates that if a preferred
frame for light speed exists, it is undetectable by this method. The average
time dilation when the beams arrive back at the moving detector is at = SQRT(v^2/c^2). Less time has
elapsed in the moving frame, 1 second of apparent time in the moving frame is
g*t longer than in
the stationary frame. However, the
implied time dilation at any other point during the light trip along the
interferometer arms can be calculated by moving the clock position on each
arm with the sliders. The local time dilation at these points is found to
rise to a maximum at the forward end of each arm before averaging out to 1 a when the beams meet back at the
detector. This suggests time dilation is not a real change in time but rather
a synchronization error between moving clocks. In fact, the discrepency
increases as the velocity decreases, since the synchronization error arises
from the first order velocity difference, whereas the average time dilation
is a second order effect.




























