Time = phase progression ( = propagation radius )

Although we do not regard time as fundamental, it is instead emergent, along with space, from the phase progression of the waves of bosons.

Fig.2: Boson propagation.

Equivalence Principles

In the definition of a boson, we declare a fundamental equivalence [principle] between phase and time.

Dimensional space, however, is the result of several interactions, and is only derived from, rather than equivalent to, solutions of phase.

Relativistic Interpretation

Lorentz invariance

All our bosons, without exception, traverse at the same speed (light speed), including those with mass-energy. This means that all collapse events occur on the time cone of the source event. Slower (sub-relativistic) velocities are obtained by taking indirect paths, traversing many fermion events, which is more likely to happen with bosons having higher mass-energy. We can derive Snell's Law and other medium-dependent or scattering-dependent effects using these principles.

Eliminating the superluminal

Using this model it is not possible to create ontologies that include superluminal particles, and it is not possible to propagate information faster than light speed, even though our waves propagate spherically and a collapse changes the phase-modulating mass-energy field for all possible points on that sphere (see also: speculation, below).

Remote effects; no transmission of information

However, until collapsed, a boson exists at all points on its sphere, and a collapse of one of the waves then enables the other wave of that boson to collapse. It should be remembered that this still does not transmit information around the sphere; it only increases the amplitude of wave collapse, by adding a further possible phase solution to the collapse condition.

Speculation: superluminal data

[Spoiler: it's not practical!]

Controversially, in this picture, it would be possible to transmit information faster than light speed, but only by inference and not with total certainty, because the lack of a signal does not constitute a proof of information.

When the flux density of a transmitter, as felt by a receiver, is reduced by the presence of a body that is less distant than the receiver from the transmitter, the body is conveying information instantly to the uncollapsed boson shell, need only propagate a little further before being noted as present (or missing) by the receiver.

If the state of the body can be manipulated to reduce the amount of flux that it collapses, then it would be possible to transmit information. This setup can be achieved using a coherent source and a likewise tuned coherent body, but it would be practically difficult to control, because (a) the body's position would need to be aligned in phase and position, to within 3ρ P , where ρ may be of the order 1020 , and (b) it would be prone to environmental interference.

Clearly, this is well beyond experimental capability.