update readme

Author: ryanncode

README.md

@@ -23,19 +23,19 @@ Standard $p$-adic dynamics often rely on artificial continuity (e.g., Berkovich
 ### 2. The Sieve Operator ($\hat{H}$)
 The operator is formalized as a discrete shift operator traversing a $p$-adic Bruhat-Tits tree. It defines topological distance exclusively through divisibility rather than physical magnitude, acting as a logical gate that halts upon encountering factorization constraints.
 
-### 3. Delta Consistency
-The framework replaces continuous complex integration with a calculus of operations utilizing Dirac delta functions. Evaluating the Riemann Zeta function becomes a matter of checking Delta consistency across the tensor network to yield an absolute count of anomalous zeros.
+### 3. Delta Consistency & Executable Output
+The framework replaces continuous complex integration with a calculus of operations utilizing Dirac delta functions. Evaluating the Riemann Zeta function becomes a matter of checking Delta consistency across the tensor network to yield an absolute count of anomalous zeros. The project aims to produce an executable stream that calculates the energy landscape in real-time, matching the Gaussian Unitary Ensemble (GUE).
 
-## Project Status: Phase 1 / Step 3
+## Project Status
 
-The project has successfully completed the theoretical dismantling of the positivity barrier (Step 1) and the Archimedean trap (Step 2). Current work is focused on:
-* Formalizing the $p$-adic lattice as a `Quiver` in Lean 4.
+The project has successfully completed the theoretical dismantling of the positivity barrier and the Archimedean trap. Current work is focused on formalizing the framework in Lean 4:
+* Formalizing the $p$-adic lattice as a `Quiver` over `Inductive` semantic addresses.
 * Implementing the discrete combinatorial Laplacian for operator traversal.
-* Establishing well-founded recursion proofs for the kinematic shift functions.
+* Establishing well-founded recursion proofs for the kinematic shift functions and logical jamming halting mechanisms.
 
 ## References
 
 * *p-Adic Analysis and Mathematical Physics* (Vladimirov, Volovich, and Zelenov 1994).
 * *FTNILO: Explicit Multivariate Function Inversion... and Riemann Hypothesis Solution Equation with Tensor Networks* (Mata Ali 2025).
 * *Explicit Solution Equation for Every Combinatorial Problem via Tensor Networks: MeLoCoToN* (Mata Ali 2025).
-* *A proof of the Riemann hypothesis* (Li 2019).
+* *A proof of the Riemann hypothesis* (Li 2019).