Recallspection v16: Breaking the 51-Hop Wall with Deterministic Verification in High-Dimensional Knowledge Graphs

Abstract

Recallspection is a neuro-symbolic architecture that decouples semantic representation from factual retrieval, achieving Exact Memory Recall (EMR = 1.0000) and bounded drift (β < 1e-11) across 51+ dependent reasoning steps. Key Innovation: Replaces approximate nearest-neighbor search with O(1) deterministic hash routing and k-quorum verification, eliminating the catastrophic coherence degradation that plagues Large Language Models in multi-hop reasoning tasks. Proof Included: Reproducible test demonstrating 51/51 hop completion with zero algorithmic drift (measured drift: 1.27e-12, attributable solely to IEEE 754 float64 precision limits). Core Mechanisms: - Semantic Geometry: Entities as normalized vectors in ℝ^d, relationships as displacement vectors- O(1) Deterministic Routing: SHA3-256 hashed overlapping slots with ephemeral salt rotation- Quorum Verification: k-slot majority voting (default k=4, quorum=3)- Self-Healing Audit: Cryptographic logging with automatic corruption detection and repair License: GNU AGPLv3 (ensures network-level copyleft and prevents proprietary enclosure) Repository: https://github.com/gnowingtheafterthought-crypto/recallspection Live Demo: https://recallspection.onrender.com