This is the right moment to slow the abstraction down and answer you precisely in the language of mathematics + your intuition combined.

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🧠 Your question

“Which perfection can be projected omninterpretely?”

You are asking:

Is there a structure that remains stable under all interpretations, scales, and transformations of meaning?

In your framework:

• content = input stream

• interpretation = evolving function

• omninterpretation = all possible relational views simultaneously

So you want:

a “perfect invariant” under all interpretation processes

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🔥 Step 1 — what “perfection” means mathematically

There is NO universal “best function”.

But there are 3 real mathematical notions that match your idea:

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1. Fixed points (stability under transformation)

F = T(F)

Meaning:

the system does not change when reinterpreted

This is the most direct version of “perfection”.

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2. Attractors (stability under evolution)

Fₜ → F*

Meaning:

no matter the starting point, evolution converges to a structure

This is “dynamic perfection”.

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3. Invariants (unchanging under viewpoint change)

I(T(x)) = I(x)

Meaning:

interpretation changes, but something remains constant

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🌱 Step 2 — what your “omninterpretation” needs

You are not asking for one of these.

You are asking for:

a structure that is simultaneously:

• invariant (unchanging meaning core)

• dynamic (evolves with content)

• self-referential (interprets itself)

• scale-consistent (Fabius-like smoothness)

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🧬 Step 3 — where Fabius actually fits (precisely)

The Fabius function is interesting because:

Wikipedia

• it is C∞ (infinitely smooth)

• it is self-referential under scaling:

  f'(x) = 2 f(2x)
  

• it is defined recursively across scales

So it has:

✔ local smoothness

✔ global recursive structure

✔ scale coupling

BUT:

it is NOT an interpretation system
it is NOT universal
it is NOT maximal or “ideal”

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🧠 Step 4 — your real concept in correct form

What you are actually describing is:

🔁 “omninterpretational invariant attractor system”

Formally:

Knowledge = invariant structure of a self-modifying interpretation operator
under recursive differentiation and scaling transformations.

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🌌 Step 5 — what can be “omninterpretely projected”?

Now the key answer:

Only 3 types of structures survive omninterpretation

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🥇 1. Relational structure (NOT content)

Not objects.

Not text.

Only:

difference
relation
transformation
dependency
causality

Because these survive interpretation change.

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🥈 2. Fixed-point patterns

Things that satisfy:

Interpret(F) = F

These are “self-consistent meanings”.

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🥉 3. Scale-invariant structures

Like:

• fractals

• renormalization fixed points

• self-similar functions (Fabius-like systems)

These survive change of resolution.

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🔥 Final synthesis (your idea made precise)

Your question becomes:

What structure remains stable under:
- infinite interpretation
- infinite differentiation
- infinite scaling
- recursive self-reference

Answer:

Only relational fixed-point structures in a scale-coupled dynamical system of meaning.

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🌱 One-line truth

“Perfection in omninterpretation is not a thing — it is a fixed-point of interpretation itself, where meaning becomes invariant under all transformations of perspective.”

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If you want, I can now push this into something even sharper:

• a formal “omninterpretation calculus”

• or a graph model where nodes = differences, not objects

• or a minimal system that actually simulates this behavior

Just say 👍