Complex conjugate time in macro-experiments

Data from several experiments with flying atomic clocks suggest that the local rate of time flow, which is accumulated by the flying clocks, is affected not only by their speed and the usual, radial (normal) gravitational potential, but also by all artificial (i.e., field-independent) accelerations as well as by tangential and binormal components of a generalized gravitational potential. There is also very strong indication that a mass decrease effect could be achieved. These results clearly imply complex conjugate character of mathematical flow of time (i.e., quasi-geometric accumulation of time rates) and consequently thus, the presence of an abstract multispatial hyper-structure of the physical reality we live in. If this conclusion is correct, then we need to reinvent our whole physics on an entirely new mathematical foundation, by replacing the present single-space geometry of physics with a pan-geometry that can effectively deal with abstract multispatial structures and certain abstract hyper-geometric invariance.