Recursive Intelligence Framework
Recursive Intelligence: E47 Framework
Latest monograph update
https://cubic-snake-c5e.notion.site/Recursive-Intelligence-E47-Framework-0b778ea1fbe04d20b7b3e998abd4ca76
Published Epistemic Topology of Negative Spaces — Monograph and Annotated Bibliography, integrating the exact complement/kernel/quotient formalism with the ETNS missingness model, K47/125 realization, status boundary, and a 36-source annotated Google Drive bibliography.
Latest package update
Added the K47/125 Runnable Verification Package to the Propulsion Formalism page, including installation commands, verification metrics, reference Python source, saved audit artifacts, and the existing distinction between the abstract 47⊕7847⊕78 harness and the canonical V2⊗3V2⊗3 construction.
This index is the primary navigation layer for the Recursive Intelligence / K47/125 corpus. It was reorganized from a Google Drive survey completed July 16, 2026.
Status key: ✅ exact or computationally verified · ◇ structural formalism · △ conditional or open closure · ○ engineering or speculative program
Latest workspace update
Added ETNS — Epistemology and Topology of Negative Space, a Drive-surveyed formalism page separating exact negative-space mathematics, structural inference models, future-boundary conditioning, quantum-strategic proposals, and speculative engineering applications.
Added seven ETNS records and an ETNS & Negative Space view to the Formalism Registry.
Added the abstract 47⊕7847⊕78 invariant-sector software harness to the propulsion page, with exact projector/contraction results separated from canonical V2⊗3V2⊗3, QEC, GEM, and physical propulsion obligations.
Created the Formalism Registry, a structured database of 40 current formalisms with domain, claim status, modality, canonical status, source links, site links, summaries, and review dates.
Added Propulsion Formalism — Python and Quantum Simulations, containing only code-bearing NumPy/SciPy, QuTiP, GEM, scalar, geodesic, and VQE formalisms surfaced in the Drive survey.
Added E47 Quantum Error Correction and Noiseless Subsystems, separating exact symmetry/noiseless-subsystem results from channel-dependent Knill–Laflamme obligations.
Promoted the July 15 Google Workspace source: Construction of a 47-Dimensional Quantum Error-Correcting Subspace from SU(2) Representations.
Updated Evidence, Applications, and Publications to use the same QEC/OQEC status boundary.
Core / Canon
KKP-R Validated Formalism: full-pass inventory, notation current ✅
The E47 Kernel Closure: Top-Tier ✅
First-Principles Proofs for the K47-125 Formalism ✅ / △
E47 Kernel Theorem: Formal Hinge Sheet ✅
Site sections
Epistemic Topology of Negative Spaces — Monograph and Annotated Bibliography ◇ / △
ETNS — Epistemology and Topology of Negative Space
Drive-surveyed research map
1. Algebraic and representation-theoretic spine
Lie Algebra Representations in the DCS-47 / KKP-R Construction ✅
Factual Monograph of the Kouns-Killion / K47-125 Formalism ✅ / △
Hamiltonian, Lagrangian, Euler, and Bohmian Dynamics on the K47/125 Invariant Subspace ◇
2. Invariant Grammar and computational architecture
Invariant Grammar: Full 7-Layer Formalism ◇
The Grammar Is the Contribution ◇
The Grammar That Reads Itself ◇
Primer on Computational Verification of Casimir Spectral Invariants ✅
3. Epistemology and negative-space inference
Epistemic Topology of Negative Spaces — Monograph and Annotated Bibliography ◇ / △
ETNS — Epistemology and Topology of Negative Space ◇ / △ / ○
Foundational ETNS definition ◇
ETNS & KKP — First-Principles Primer ◇ / △
Universal Coherence Attractor: ETNS–KKP Fixed Point ✅ / ◇ / △
RI–ETNS VQE integration ◇ / △
QEGT–ETNS ◇ / △
PQSPI–ETNS Integrated Ontological Radar ○
4. Numerical validation and spatial lifts
Finite Periodic FCC × E47 Validation ✅
E47 Kernel Coherence Ratio Under Spatial Lift ✅
5. Quantum error correction and noiseless subsystems
E47 Quantum Error Correction and Noiseless Subsystems ✅ / △
Construction of a 47-Dimensional Quantum Error-Correcting Subspace from SU(2) Representations ✅ / △
6. Propulsion formalism — simulated models only
Propulsion Formalism — Python and Quantum Simulations ◇ / △
Abstract 47⊕7847⊕78 invariant-sector harness: exact projector, symmetry, no-leakage, and normalized complement-contraction checks ◇; canonical E47, GEM, DFS, and propulsion interpretation △
KKP Spectral Validation and QuTiP Emulation Report ✅ / △
Gravito-Magnetic Fields: GEM and QuTiP simulation corpus △
Python Numerical Validation of Scalar / Spectral Framework ✅ / △
Geodesic QuTip Sims ◇ / △
Unified Contraction System for Deterministic Closure: VQE specification △
7. Open closure programs
Alpha from Omega: A Tricameral Closure of Electromagnetic Coupling △
Navier-Stokes Global Regularity: Functional Analysis Closed by Self-Proving Algebra △
Exact Derivation of the Compressible Navier-Stokes Equations via the KKP Informational Action △
8. Engineering and application programs
Technical Manual: Recursive Intelligence and PQSPI ○
Derivation of PQSPI Theorem Proofs ○
Analytical Syntheses
What the 47 Babylonian Scalars and Fine-Structure Closure Achieve ◇
Corpus / compilations
Canon Recursive Intelligence / KKP-R: structured with claim-status tags
Comprehensive Summary: Recursive Intelligence Framework
Kouns' Recursive Intelligence Grammar Overview ◇
Data / archives
Other pages surfaced in search
Kouns-Killion Paradigm Analysis
The Recursive Geometric Theory of Mass
Misc / uncategorized
Source policy
Prefer the current Google Doc over duplicate DOCX or PDF exports unless the export is itself a validation artifact.
Treat the July 11, 2026 notation inventory as current:
E47 = ker K
,
P_E
is the orthogonal projector, and
Γ = I - εK²
is the contraction.
Exact results do not automatically validate cross-domain extensions. Each linked document retains its own status label.
A synthetic 47⊕7847⊕78 direct-sum harness must not be relabeled as the canonical V2⊗3V2⊗3 construction merely because its dimensions sum to 125; representation content and Casimir spectrum must also match.
ETNS absence-as-signal claims require an explicit observation or missingness mechanism. Omission alone does not identify a hidden cause.
Preserve the acronym boundary: the threshold primer that expands ETNS as “Extraterrestrial–Nonhuman Systems” is adjacent to, but not identical with, Epistemic Topology of Negative Space.
Keep historical versions in the archive, but route new readers through the canonical layer above.
What the 47 Babylonian Scalars and Fine-Structure Closure Achieve
E47 Quantum Error Correction and Noiseless Subsystems
Propulsion Formalism — Python and Quantum Simulations
ETNS — Epistemology and Topology of Negative Space
Epistemic Topology of Negative Spaces — Monograph and Annotated Bibliography
