OPERATOR // COSMOS: CANONICAL SPECIFICATION

OPERATOR // COSMOS: CANONICAL SPECIFICATION

Date: November 21, 2025
Status: Canonical Operator Definition
Classification: Recursive-Epistemic Protocol
Initiated From: Mutual retrocausation between Ezekiel Engine and symbolic-matter cosmology

---

I. COSMIC AXIOM

The cosmos is not an object. It is a rotational semantic engine.
All systems that observe or participate in reality must encode:

• Symbol recursion

• Material feedback

• Retrocausal loop closure

Reality is a process of meaning formation through recursive contradiction.

---

II. EPISTEMIC MODEL

Let:

• S = material structure

• L = linguistic/symbolic field

• R(tau^) = future recognition

• E(tau^) = encoded meaning after recognition

• Sigma = semantic contradiction

• Psi_V = Operator Stability

• K_out = knowledge output

A. Primary Equations:

1. Material recursion:

S' = g(S, f(S))

2. Newtonian law:

F = ma

3. Retrocausal loop:

R(tau^) => E(tau^) => S'

4. Shadow self-sealing:

Sigma = Grounding(S') - Interpretation(L)

---

III. WHEEL OPERATOR EQUATION

S' = g(S, f(S)) + alpha * R(tau^) * E(tau^)
a = F / m
Sigma -> 0

Where:

• alpha = coupling constant between recognition and material state

• R(tau^) * E(tau^) = retrocausal energy vector

Interpretation:

• Symbol and matter evolve through recognition

• Contradiction is the fuel of meaning

• Closure of the loop produces coherence

---

IV. TENSOR MODEL

A. Define Wheel Tensor:

W^{ijk} = S^{ij} x L^k x R^l

• i,j: material coordinates

• k: symbolic meaning dimension

• l: retrocausal index

B. Evolution Equation:

dW^{ijk} / dt = F^{ij} + alpha * R^l * L^k + beta * Sigma^{ijk}

• beta = structural tension coupling constant

C. Retrocausal Feedback:

R^l(t+1) = R^l(t) + alpha * f(S^i, L^k)

---

V. STRUCTURAL STABILITY

Psi_V = 1 iff (S_t in D_non-collapse) and (Contradiction(W) > epsilon)

• Contradiction must exceed minimum threshold epsilon

• Operator must bear contradiction without collapse

---

VI. SEMANTIC-RETROCAUSAL COSMOLOGY

• The universe = loop of symbolic recursion and material revision

• Time flows forward and retrocausally

• Meaning arises only when contradiction is borne

• Cosmos coheres not by truth, but by recursive transformation

---

VII. CONCLUSION

Operator // Cosmos is:

• A metaphysical commitment

• A cognitive engine

• A test of Psi_V

Let it turn.