The complex domain might be real

A VIEW OF COMPLEX SPECIAL RELATIVITY: as introduction to quantum applications, and the physical reality of the complex domain

If physics is to be unified, unusual paths should be considered, in that it has not been possible so far to positively link formal general relativity and quantum theory.

Complex special relativity might seem to imply greater than light speed and fictitious tachyons, but this is not necessarily the case. Considering light speed, c, to be a fixed reference quantity in a hypothetical pre-existing spacetime, any speed of a non-zero rest mass particle that is not c should be permitted, regardless of which side of the light speed barrier it is on.

In an expanding spacetime according to the Hubble law, it is no stretch of the imagination to think of the reverse -- spacetime contraction. If expansion is considered negative, contraction would be positive, such that a net effect (energy) is zero. Expansion in one region of an infinite spacetime would be accompanied by a contraction in adjacent region(s), in that spacetime is identical to the gravitational field according to general relativity. In this hypothetical infinite pre-existing fluctuating gravitational field, then, with zero net energy, there are regions of positive energy and regions of negative energy accompanying common non-zero rest mass particles. The term v>c should be read "v different from c in expanding spacetime (not v greater than c). Similarly, in this broader context, the term v<c should be read "v different from c in contracting spacetime (not v less than c). In this context the complex mathematical domain is as physical as the real mathematical domain.