Possible mathematics behind my metaphysical system (Completely AI generated)

 Yes. I think we can construct a mathematical model that captures the two stages of your metaphysics:

1. Self-observation produces darkness: Brahman, represented by a self-luminous function, interacts with itself. This operation produces a darkness function—your mathematical analogue of 0 or Māyā.

2. Darkness generates multiplicity: The original function interacts with the darkness function, producing innumerably many child functions, each combining aspects of the original function and darkness.

The key mathematical challenge is to make darkness emerge from self-interaction rather than simply define it as an independent entity from the outset.

A candidate: self-interference and generative functions

The closest mathematical analogy I would propose is wave self-interference followed by a family of functions generated from the original wave and its shadow.

Stage 1 — The function observes itself and produces darkness

Imagine a self-luminous wave:

\[ \psi(x)=\cos x \]

Let it interact with a shifted copy of itself. The shift represents the act or perspective of self-observation.

\[ A_\delta(x)=\psi(x)+\psi(x+\delta) \]

The resulting intensity is

\[ I_\delta(x)=|A_\delta(x)|^2 \]

Because the two waves can reinforce or cancel each other, certain locations become minima of intensity. These are the dark regions created by self-interference.

Define a normalized darkness function:

\[ \boxed{D_\delta(x)=1-\frac{I_\delta(x)}{I_{\max}}} \]

For our cosine wave, this simplifies to

\[ \boxed{D_\delta(x)=\sin^2\left(x+\frac{\delta}{2}\right)} \]

Here, darkness is not introduced as an independent wave. It is derived from the interaction of the original function with a shifted version of itself.

This is a mathematical analogy: the observation shift is an explicit modelling assumption, not a claim that physical waves or consciousness necessarily behave this way.

Stage 2 — The original and darkness generate child functions

Now let the original function interact with its darkness function.

A simple generative rule is

\[ \boxed{ \phi_{a,b,c}(x) =a\psi(x)+bD_\delta(x)+c\psi(x)D_\delta(x) } \]

where \(a,b,c\) are freely varying real parameters.

Original function — \(\psi\)

The self-luminous source, represented by 1.

Darkness function — \(D\)

The shadow generated through self-interaction, representing 0 or Māyā.

Child functions — \(\phi_{a,b,c}\)

A continuous family of distinct functions formed from the source, its shadow, and their interaction.

Because the coefficients can vary continuously, this rule generates infinitely many parameterized functions, although some parameter choices can produce the same function. Additional nonlinear interactions could create richer families.

How closely does this match your metaphysics?

Your concept	Mathematical analogue
Brahman, the 1	Original function \(\psi\)
Self-observation	Interaction with a transformed copy of \(\psi\)
Shadow, the 0	Darkness function \(D\), derived from interference minima
Manifestation	Generation of child functions \(\phi_{a,b,c}\)
Multiplicity	Infinitely many possible parameter combinations

My key qualification: this is a constructed mathematical model, not a single established function known to possess all these properties intrinsically. The rules for self-observation, darkness, and offspring are defined explicitly.

For your framework, I would next investigate whether a self-referential nonlinear function could generate its own shadow and then recursively generate child functions, each of which repeats the process. That would model not just the birth of multiplicity, but an ongoing cascade of manifestation.