Formal Waveform Metaphysics

The waveform of objects (deduction and induction) is already defined as square whereas the waveform of relations (reduction and emergence) is defined as triangular. This may be interpreted by pointing out that the direction of the wave needs to change four times in the square wave p → q. Perhaps we may identify p, → and q as or in terms of numbers in order to draw a wave.

When the triangle wave → is interpreted as an object, the result would be a synthesis of the square and the triangle wave: the M wave. Which basically is just a wave of the shape of the letter M or the letter W. In the M wave the direction of the line can change five times. But sometimes the numbers that represent the symbols coincide so that the third change is redundant. This would happen when:

p = →,
p = q.

or:

p = 1,
→ = 2,
q = 3.

In the latter case the wave wouldn't be essentially square, but trapezoid.

We should already be familiar with the difference between deduction and induction but the difference between reduction and emergence isn't well-understood. The waveform interpretation of metaphysics allows us to define reduction as the act of treating something as an object. This may or may not be coercive in the sense that whatever is objectified may or may not need to be changed in order to fit the definition it's being assigned. My current intention isn't to inquire on whether it's immoral to specifically try to change reality to match some definition.

Emergence, on the other hand, may be considered a preference for overriding object properties whenever possible. In emergence objects are defined so that the intention is to change the definition instead of the object whenever they don't match.

This waveform interpretation doesn't require any levels for formalising emergence. It also doesn't declare a separation between an "environment" and the objects that "are" in that environment. In metaphysics, the least that can be declared is usually the only correct declaration. I don't know how to prove I've declared as little as possible but at least I may have declared less about this than anyone else so far.