θ is 60o. After the rotation, the tc component of tnow, t′c, is orthogonal to tc and parallel to tg. t′c has no effect on tc and so becomes invisible, optically and to radar. This suggest that our sight is a charge phenomenon. This rotation is equivalent to rotating tc by 90o in the tg-tc plane, but we simply don't have a grip on this angle.
After this rotation, tT is invariant, there is no temperature change, but t′c is now tg and t′g is now −tc. Gravity and charge have swapped roles and the result is all sort of weird effects. Maybe it is better to rotate,
tc 90o towards tT, with the tg axis held invariant. The problem is tnow is always rotated with respect to OA, the projection of tnow on the tT-tc plane. Maybe, tg can be reduced by increasing gravity g, tnow collapses onto OA and then be rotated by 90o.
Gravity is then reduced to normal after the phase shift. t′c is now tT and t′T is now −tc. Temperature and charge swapped roles. Since the electrical/electronic instruments are on the tT-tc plane in the first place, maybe that is acceptable. With gravity invariant, nobody gets struck in the walls.
Theoretically.