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Axiom-Based AGI: A Quantum-Error-Corrected Architecture with Temporal Shard Memory

Mathur, Lakshit

Published Jan 1, 2025• 0 citations
Publisher

Abstract

This work presents a novel AGI architecture grounded in twelve formal axioms, combining principles from quantum error correction, distributed cognition, and dynamic neural systems. The proposed framework addresses core limitations in existing AI systems, including catastrophic forgetting, identity drift, unstable long-term memory, and the absence of self-repair mechanisms.Central contributions include:Temporal Shard Memory (TSM) – A distributed memory substrate that stores cognitive states as multiple complementary shards (sensory, semantic, affective, contextual, decision, and parity).Preservation Layer (PL) – A QEC-inspired system that performs indirect syndrome checks to detect cognitive drift or corruption without reading or collapsing the underlying representation.Cognitive Error Correction (CEC) – Reconstruction operators (erasure decoding, fusion reconstruction, manifold projection) that restore corrupted cognitive states.Identity Manifold – A mathematical structure defining the valid space of the agent’s personality, values, and cognitive style.Dynamic Neural Topology (DTE) – A mechanism that evolves the system’s internal neural topology based on shard reliability, reconstruction stability, and long-term continuity constraints.The paper provides full mathematical formalizations, algorithms, pseudocode, diagrams, and an evaluation framework. Together, these components establish the first full-scale AGI design capable of stable, self-healing cognition modeled after the robustness of quantum logical qubits.

DOI
10.6084/m9.figshare.30695501

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This work presents a novel AGI architecture grounded in twelve formal axioms, combining principles from quantum error correction, distributed cognition, and dynamic neural systems. The proposed framework addresses core limitations in existing AI systems, including catastrophic forgetting, identity drift, unstable long-term memory, and the absence of self-repair mechanisms.Central contributions include:Temporal Shard Memory (TSM) – A distributed memory substrate that stores cognitive states as multiple complementary shards (sensory, semantic, affective, contextual, decision, and parity).Preservation Layer (PL) – A QEC-inspired system that performs indirect syndrome checks to detect cognitive drift or corruption without reading or collapsing the underlying representation.Cognitive Error Correction (CEC) – Reconstruction operators (erasure decoding, fusion reconstruction, manifold projection) that restore corrupted cognitive states.Identity Manifold – A mathematical structure defining the valid space of the agent’s personality, values, and cognitive style.Dynamic Neural Topology (DTE) – A mechanism that evolves the system’s internal neural topology based on shard reliability, reconstruction stability, and long-term continuity constraints.The paper provides full mathematical formalizations, algorithms, pseudocode, diagrams, and an evaluation framework. Together, these components establish the first full-scale AGI design capable of stable, self-healing cognition modeled after the robustness of quantum logical qubits.
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Classical neural networks suffer from inherent vulnerabilities to noise and errors, severely limiting their applicability in demanding environments. This research proposes a novel approach to mitigating these issues by leveraging topological neural networks (TNNs) for quantum error correction (QEC). Inspired by the robust properties of topological insulators, TNNs are designed to encode information in topological invariants, making them inherently resilient to local perturbations. This paper details the framework for integrating TNNs with neural network architectures, outlining the key concepts of braiding operations, logical qubit representation, and the implementation of standard QEC codes like Shor and Steane. We explore the theoretical underpinnings of this approach, demonstrating how TNNs can effectively detect and correct errors without disrupting the underlying computation. The resulting architecture promises a significantly enhanced resilience to noise, potentially unlocking the full potential of neural networks for complex and uncertain tasks. Our approach offers a fundamentally new direction in computing, bridging the gap between classical and quantum computation through a robust and adaptable network topology. We define key metrics for evaluating the performance of this system including error correction fidelity and computational speedup relative to traditional neural networks.
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This thesis operationalizes a quantum cognitive architecture for quantum superintelligence that is epistemologically distinct from classical paradigms. It introduces qPrime, a recursively self‑improving, autonomous, multi‑QIU quantum cognitive framework, and its embodied prototype, qZero, engineered for high‑stakes decision‑making in adversarial, dynamic environments. By fusing quantum mechanics, cognitive science, and artificial intelligence, this work advances a quantum superintelligence defined in a quantum cognition paradigm that models and enhances cognitive faculties via contextuality, superposition, entanglement, and non‑classical logic. Methodologically, the project synthesizes theoretical modelling, quantum algorithm design, and empirical validation. The experimental platform, Area 51 – Quantum Machinery and Superintelligence, integrates Quantum Deep Reinforcement Learning (qDRL) with IBMQ’s 127‑qubit Eagle processor. qZero is trained and evaluated in a simulated Knowledge‑Based Dynamic Environment (MOCK‑BDE) using real‑time signals from Call of Duty – Modern Warfare 2. Metrics include RMSE, MAPE, and a self‑evaluation model correlating enemy dispatch payloads with combat outcomes. Results show that qZero achieved a 186% improvement in decision‑efficacy over classical DRL baselines, with MAPE = 1.05% and recommendation accuracy > 97%. These findings substantiate that quantum‑enhanced cognition outperforms both human and classical AI systems in high‑dimensional, uncertain domains. The novelty lies in formalizing quantum superintelligence as a cognitive architecture composed of Quantum Intelligence Units (QIUs)—entities that are not merely computationally superior, but post‑classical in representational semantics and decision dynamics. This work introduces the pioneering qPrime Quantum Control Processor plane, a fixed‑length quantum controller circuit optimized for decision‑selection, and demonstrate the feasibility of multi‑QIU cognition as a unifying substrate for AGI/ASI trajectories. The implications are profound: intelligence modelled through quantum‑theoretic constructs transcends the symbolic/subsymbolic dichotomy, supports non‑decomposable reasoning, and establishes a foundation for collective, multi‑QIU superintelligence. This is, to my knowledge, among the first scaled implementations of quantum cognition, charting a post‑classical, post‑symbolic direction for AI into a new frontier of quantum superintelligence.
Qubit loss is a major source of error in quantum computation, as it invalidates the algebraic structure of the standard stabilizer formalism for quantum error-correcting codes. On the one hand, it complicates decoding; on the other hand, it introduces stochastic flicker patterns in stabilizers as a hallmark of qubit loss. Here, we develop an artificial-intelligence-enabled decoder based on a spatiotemporal Graph Neural Network (STGNN) architecture to extract spatial and temporal correlations from syndrome histories. Our decoder performs a dual-head task, simultaneously correcting standard Pauli errors and identifying the locations of qubit loss. Our decoder achieves significantly higher logical accuracy than both the traditional minimum-weight perfect matching (MWPM) algorithm and even delayed-erasure MWPM decoders that use qubit loss information from the final round as input. Our decoder can also identify more than 90% of loss locations after accumulating stabilizer measurements over the subsequent ten rounds, thereby facilitating qubit reinitialization, for instance, via the continuous loading technique on the atom array platform. For both tasks, our STGNN performs nearly identically to a modified version of AlphaQubit, but it employs a parallel input structure, giving it an advantage in inference time over modified AlphaQubit's recurrent input structure. This work provides a robust and scalable framework for correcting qubit loss errors, paving the way for more efficient fault-tolerant quantum computation.
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