If time is rotation about the space axis we have the diagram on the left,
If space is rotation about the time dimension we have the diagram on the right. With the introduction of a third dimension, tnow is represented as,
Note: The rest of the post is wrong. tnow is not rotated in the tnow-tc plane. Instead its projection onto the tT-tc plane is rotated 60o. Please refer to the later post "Rotating Al Again". The change in phase to achieve invisibility is such that after the rotation the tc component of the rotated tnow is orthogonal to the old tc axis, which is the tc axis of an outside observer. However, the phase change needed to achieve optical invisibility is consistent with the introduction of a third time dimension tT.
And angle θ is given by,
θ=arcsin(√23)=54.74o
and the angle to the vertical in the plane containing tnow and tc is,
Time Bias ∡=90o−54.74o=35.26o
This explains the time bias highlighted in the post "Time Bias", concerning "The Philadelphia Experiment". where a phase of 60o was enough to cause optical invisibility not 90o.
The small discrepancies 60o−54.74o=5.26o is due to low signal and noise. Our eyes and equipment cannot detect optical signals that are too low. Practical optical invisibility occurs 5.26o before trotated is orthogonal to tnow.
The Philadelphia Experiment provided evidence in support for a third time dimension.