The direction perpendicular to the \(t_c\) plane is the direction along that space dimension, \(x_c\). The expression for time along this axis is,
\(t_{\small{axis}}=-t_T sin \theta+t_g cos \theta=t(cos \theta-sin\theta)\)
\(t_{\small{axis}}=t\sqrt{2}cos(\theta+\cfrac{\pi}{4})\)
where we assume \(t_c=t_g=t_T=t\), that time is undifferentiated.
Is this formulation consistent with "the universe is a time particle" view; that a circular time wave passes through Earth at light speed, centered at the center of the universe?
Can the \(\sqrt{2}\) factor and the phase \(\small{\cfrac{\pi}{4}}\) be verified? What is the significance of these factors?
