docs: Maintainer cleanup for repository count and math formatting

.github/workflows/research-log.yml

@@ -21,7 +21,7 @@ jobs:
       - name: 02. Identity Synthesis (Academic Alignment)
         run: |
           # Anchoring the repository activity to the Devanik21 verified identity
-          # This ensures the 270-repo graph correctly reflects the 8:30 AM IST contribution tiles
+          # This ensures the 188-repo graph correctly reflects the 8:30 AM IST contribution tiles
           git config user.name "Devanik21"
           git config user.email "devanik2005@gmail.com"
 
@@ -42,7 +42,8 @@ jobs:
           echo "affiliation: NIT Agartala | Samsung Convergence Software Fellow (IISc)" >> $LOG_FILE
           echo "timestamp_utc: $TIMESTAMP" >> $LOG_FILE
           echo "timestamp_ist: $IST_TIME" >> $LOG_FILE
-          echo "repository_count: 190" >> $LOG_FILE
+          # TODO: Consider fetching the repository count dynamically via GitHub API instead of hardcoding.
+          echo "repository_count: 188" >> $LOG_FILE
           echo "research_domains: 9+" >> $LOG_FILE
           echo "determinism_index: Seed 42" >> $LOG_FILE
           echo "workflow_path: .github/workflows/dev-log.yml" >> $LOG_FILE
@@ -56,7 +57,7 @@ jobs:
           # SECTION II: ABSTRACT & ECOSYSTEM OVERVIEW
           # ------------------------------------------------------------------
           echo "## I. Ecosystem Abstract & Domain Sweep" >> $LOG_FILE
-          echo "This registry formally documents the deterministic state of the 190-repository AI Research Ecosystem. Our core objective is engineering high-reliability cognitive architectures grounded in first-principles physics and information theory." >> $LOG_FILE
+          echo "This registry formally documents the deterministic state of the 188-repository AI Research Ecosystem. Our core objective is engineering high-reliability cognitive architectures grounded in first-principles physics and information theory." >> $LOG_FILE
           echo "" >> $LOG_FILE
           echo "### Active Research Domains" >> $LOG_FILE
           echo "1. **Metacognition & Cognitive Architecture** (causa-sui, Thermodynamic Mind)" >> $LOG_FILE

README.md

@@ -9,7 +9,7 @@
 [![Twitter](https://img.shields.io/badge/Twitter-@devanik2005-1DA1F2?style=for-the-badge&logo=twitter&logoColor=white)](https://x.com/devanik2005)
 [![arXiv](https://img.shields.io/badge/arXiv-Research-b31b1b.svg?style=for-the-badge)](https://arxiv.org/abs/2412.20091)
 
-![Total Repositories](https://img.shields.io/badge/Total_Repositories-192-4B0082?style=for-the-badge) <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
+![Total Repositories](https://img.shields.io/badge/Total_Repositories-188-4B0082?style=for-the-badge) <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
 ![Research Areas](https://img.shields.io/badge/Research_Domains-9+-00CED1?style=for-the-badge)
 ![Status](https://img.shields.io/badge/Status-Active_Research-success?style=for-the-badge)
 
@@ -599,7 +599,7 @@ This portfolio represents a rigorous engineering effort in **distributed state e
 
 ### 📊 **Engineering Impact**
 
-📈 **270 Active Repositories** <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
+📈 **188 Active Repositories** <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
    - Comprehensive exploration across 9 major AI domains
    - 50+ production-ready applications deployed
    - 20+ experimental architecture prototypes and research frameworks
@@ -775,7 +775,7 @@ Phase 4: Post-Biological Architectures (2029+)
 - Interdisciplinary research at the intersection of physics, neuroscience, and ML
 
 **What I Bring:**
-- 270 repositories demonstrating breadth and depth across AI <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
+- 188 repositories demonstrating breadth and depth across AI <!-- TODO: Consider automating the update of this repository count to keep it dynamically current. -->
 - Proven track record of experimental architecture prototypes (Divine Monad, Recursive Hebbian Organism, AION)
 - National-level recognition (ISRO Hackathon Winner, Samsung Fellowship)
 - Strong mathematical foundations and implementation skills

docs/ecosystem_monograph.md

@@ -64,7 +64,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -165,7 +165,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -266,7 +266,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -367,7 +367,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -468,7 +468,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -569,7 +569,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -670,7 +670,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -771,7 +771,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -872,7 +872,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -973,7 +973,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1074,7 +1074,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1175,7 +1175,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1276,7 +1276,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1377,7 +1377,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle$$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1480,7 +1480,7 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
 $$ S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle $$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
@@ -1581,8 +1581,8 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
-2240 S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle 2240
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
+$$ S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle $$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
 ## V. AION: Information-Theoretic Longevity
@@ -1682,8 +1682,8 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
-2284 S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle 2284
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
+$$ S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle $$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
 ## V. AION: Information-Theoretic Longevity
@@ -1783,8 +1783,8 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
-2343 S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle 2343
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
+$$ S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle $$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
 ## V. AION: Information-Theoretic Longevity
@@ -1884,8 +1884,8 @@ Counterfactual experience generation is monitored to ensure the latent space rem
 We investigate the exponential memory decay inherent to SSM recurrence relations as a proxy for electron correlation $\propto e^{-\alpha r_{ij}}$.
 
 #### Quantum Fisher Information Matrix (S-Matrix)
-Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the ehBmatrix formation remains non-singular:
-2470 S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle 2470
+Stochastic Reconfiguration (SR) optimization is verified via the Fubini-Study metric. We ensure the $S$-matrix formation remains non-singular:
+$$ S_{ij} = \langle O_i O_j \rangle - \langle O_i \rangle \langle O_j \rangle $$
 Targeting sub-mHa chemical accuracy across atomic benchmarks from Hydrogen to Neon.
 
 ## V. AION: Information-Theoretic Longevity