What are the Corollaries to the Fundamental Postulates?
- #1: Quantization
- The two aspects of motion, space and time, are quantized.
- #2: Reciprocity
- Space and time are reciprocally related to speed; an increase in space is tantamount to a decrease in time, and vice versa.
- #3: Symmetry
- Both space and time have identical characteristics: time has three dimensions like space, and space progresses as clock time does.
- #4: Physical State
- The states of matter are the result of motion in equilibrium, or motion coming out of the time region:
- Solid, 0 (equilibrium; entirely in T-frame)
- Liquid, 1
- Vapor, 2
- Gas, 3 (entirely in S-frame)
- #5: Frame Inversion
- Only motion in time can take place in the time region, so the appropriate frame of reference is the 3-dimensional, temporal T-frame.
- #6: Spatial Non-Locality
- The origin of the T-frame would be apparently at all places in our familiar S-frame and at the same time. It is non-local in space.
- #7: Non-Trajectory
- The concept of a particle trajectory in the S-frame is not applicable from the point of view of the T-frame, for the obvious reason that the origin of the T-frame is "everywhere" in the S-frame.
- #8: Wave-Particle Equivalence
- A particle localized in the S-frame is equivalent to a plane monochromatic wave from the point of view of a T-frame, and vice versa.
- #9: Equivalent Space
- So long as the net speed is on the material sector side of the speed range, the motion in time that might occur as a minor component of the overall speed configuration acts as a modifier of the motion in space which is the major component. In other words, it manifests as motion in equivalent space, rather than motion in time.
- #10: Multiple Dimensions
- In the case of frame inversion (#5) of two interacting particles, unless inhibited by special conditions [the life unit, Corollary #12], we end up with 6 apparently different dimensions, three each of the two T-frames, respectively. We require 3n dimensions to represent n particles.
- #11: Temporal Non-Locality
- When the interaction eventually comes out from the time region back into the conventional frame, as at the measurement site, the reference frame has to be switched from the T-frame back to the familiar S-frame. Like in the Case of Corollary #6, frame switching entails the phenomenon of non-locality. But this time, it is the non-locality in time, since the switching is T->S rather than S->T, and so the origin of the S-frame appears "everwhen" at "infinite inverse speed" from the point of view of the T-frame.
- #12: Frame Merging
- The action of gravitation in the time region of the material sector and of cosmic gravitation in the space region of the cosmic sector are both outward, which results in the merging of the regional T and S frames into a life unit.