We use a classical mechanism to constitute fermions from continuous waves, giving the quantum effects we expect, and a useful approach to the wave/particle duality.
See Physicality Described for a more readable introduction.
Compositionally, we can construct bosons and fermions in a structured manner from waves in the fundamental b axis (figs.1,2):
A fermion is conserved when its constituents return to form another instance of the fermion.
In fig.3, the fermion A has two bosons which collapse by interacting with vacuum bosons at events B and C, which respectively radiate as bosons, and collapse at D. So, the fermion re-constituted at D, from A, with spatial displacement . The points A–D are the fermionic states of Zitterbewegung, with the vacuum interactions contributing a 'pressure' for the constitution, as found in the Casimir effect.
We are currently working to reconcile with the Standard Model 'fundamental' bosons:
We are confident that this can be reconciled into a unified mechanism.
Schematically, matter forms a connected network of fermions in space-time, the resolved bosons being simple connecting propagators. Bosons will only connect fermions that are on the same world lines. Rather than this being a coincidence, it is better to think of world lines as a requirement for coupling, with bosons always propagating at light speed. When we view this matter network from the perspective of a boson we find that the boson connects two fermions, and when viewed from the perspective of a fermion, we find that a fermion is formed from two bosons and emits two bosons; the two bosons pass continuously through the fermion event.
Our interpretation of quantum mechanics is (pre)deterministic, Bohm-like (except we do not separate wavefunctions from instances; they are the same thing to us, dualled in ‘quanta’ oscillators that comprise the totality of the mass-energy). The observer has limited knowledge of the matter network, resulting in a picture of probabilities for future collapses, which are realised regardless of observers.
In more abstract and philosophical terms, this mechanism can explain how and why many fermions may exist and couple. It was derived from the need to allow more than one entity to exist uniquely among others without ambiguity in resolving their differences. The developmental path started at group theory, symmetry breaking, Noether's Theorem and conservation laws, via an inferred Exclusion Principle. This means that many important principles are implicit in the design of the model, which can be adequately traced and reconciled to its foundations and to high-level concepts in physics. [More...]
The classical velocity for one complete jump is despite the constituent bosons propagating at light speed. More iterations may result in a respectively lower aggregated classical velocity, as vectors cancel out. Note that fig.3 simplifies spatial dimensionality, and the actual displacement would depend on propagation angles.
The wavefunction depends on all non-excluded waves in A–B, A–C, B–D, C–D, and vacuum expectation values. This is further partitioned by the symmetry breaking of either A–B or A–C (seemingly spontaneous, but it comes from instances of vacuum energy), and optionally from symmetry-breaking interactions (not shown in fig.3) of the unbroken bosons from B and C that are emitting into vacuum. The physical process, associated with the partitioning, collapses the interacting boson and switches on the newly-available wave, from the same source, that was previously excluded.