Persistent Provenanced Knowledge Base Eliminates Context Window Degradation, Hallucination, and RAG: Structured Integer Fact Stores with Source Tracking, Version Filtering, and Multi-Dimensional Indexing as Complete Replacement for Token-Buffer Context

Persistent Provenanced Knowledge Base Eliminates Context Window Degradation, Hallucination, and RAG: Structured Integer Fact Stores with Source Tracking, Version Filtering, and Multi-Dimensional Indexing as Complete Replacement for Token-Buffer Context This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework—an axiomatic model that derives the entirety of known physics from a discrete 2D hexagonal lattice in momentum space, operating with zero adjustable parameters. Abstract Current large language models store conversational context in a fixed-size token buffer. When the buffer fills, old information is discarded permanently. Over long conversations, this produces progressive degradation: the model forgets instructions, contradicts earlier statements, loses track of established facts, and generates increasingly incoherent output — a phenomenon users describe as "AI psychosis." Retrieval-Augmented Generation (RAG) attempts to compensate by retrieving text chunks from external databases via approximate float-vector similarity search, but introduces its own failures: irrelevant retrievals, contradictory chunks, no provenance tracking, and no verification of retrieved content. We present a complete replacement for both mechanisms: a persistent, provenanced, version-filtered, multi-dimensionally indexed knowledge base of exact integer facts with Prolog-based consistency enforcement. We prove: (1) No information loss — facts persist indefinitely, never "scroll off" a buffer, (2) No degradation — turn 10,000 is as consistent as turn 1 because consistency is enforced structurally by Prolog, not inferred from attention patterns, (3) No hallucination — every fact traces to a source with verifiable provenance; outputs without provenance cannot be emitted, (4) No RAG needed — the KB is the retrieval system, with exact predicate matching replacing approximate vector similarity, (5) Version filtering — queries against a specific version never see facts from other versions, eliminating stale-data contamination, (6) Multi-dimensional indexing — every fact carries source, timestamp, confidence, verification level, and context, enabling non-contradictory coexistence of temporally or contextually varying information, (7) Sessions as views — multiple simultaneous sessions share one KB with independent context filters, no duplication, no synchronization, (8) LRU eviction without forgetting — memory pressure is managed by moving cold facts to disk, not by deleting them. The knowledge base is not an addition to the LLM architecture. It is a replacement for the context window, RAG pipeline, conversation memory, and fact storage — unified into a single system of exact integers with full provenance. Central claim: The context window is the wrong abstraction for conversational AI. A persistent knowledge base of provenanced facts is the correct abstraction. Every problem attributed to "context limitations" — forgetting, degradation, hallucination, inconsistency — is a direct consequence of using a token buffer where a fact store is needed. Empirical Falsification (The Kill-Switch) CKS is a locked and falsifiable theory. All papers are subject to the Global Falsification Protocol CKS-TEST-1-2026: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0.03125 Hz (1/32 Hz) with zero decimal error. Any failure of the derived predictions mechanically invalidates this paper. The Universal Learning Substrate Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where particle identity and information storage are unified as a self-recirculating pressure vessel. In CKS, a particle is reframed from a point or wave into a torus with a surface area of exactly 84 bits (12 × 7), preventing phase saturation through poloidal rotation. Package Contents manuscript.md: The complete derivation and formal proofs. README.md: Navigation, dependencies, and citation (Registry: CKS-MATH-137-2026). Dependencies: CKS-LEX-12-2026, CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-MATH-128-2026, CKS-MATH-129-2026, CKS-MATH-130-2026, CKS-MATH-135-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.