Constitution of an oscillator

An oscillator is an entangled pairing of two waves, each wave operating in one basis axis.

Fig.1: Oscillator propagation. See also: time.

It's like a quibit, but with a skew that encodes its intrinsic mass that helps collapse other waves.

Quantifiable attributes

Wave attributes

Each of the two waves has phase and value:

phase = φ

value = - \cos φ

Oscillator mass

Mass $ρ$ is the elliptical deviation from a circular oscillator.

Fig.2: Mass as an elliptical phase picture.

ρ = \cos (φ_{B} - φ_{A}) = e^{- i (φ_{B} - φ_{A})}

If both waves are available, then the oscillator is a superposition of both positive and negative mass values, either of which may interact externally to collapse the oscillator in a fermion event.

Oscillator spin or angular momentum

An oscillator is a superposition of two spin states, one of which is excluded from the next fermion if has the same phase as another wave from the same source. When one wave is chosen as the reference wave, the spin state depends on whether the reference wave follows or leads the partner wave. This choice is determined at the next fermion.

$sign (spin) = sign (φ_{B} / d t)$

Structural context

An oscillator is an entangled pairing of waves.
A shell is a propagating entangled collection of oscillators from the same fermion event. Note that a shell is tool for finding solutions for an incomplete causal perspective of the network.
All shells are bosons, having an even number of non-excluded waves.

Propagation

Shell propagation is scalar, with equivalent changes of phase, time, and space.

In flat space, the shell expands as a sphere at light speed. This makes propagation thermodynamic by default, until collapsed by waves on an external shell. Mass affects the probability of collapse, and generates a well of potential, or a typical radius of interaction.