Scientific Papers & Technical Foundations

The Deterministic Computation Law: A Formal Mathematical Framework for Reproducible Artificial Intelligence

Foundational Research Paper

This paper introduces the Deterministic Computation Law (DCL), a formal mathematical framework establishing the necessary and sufficient structure for reproducible computation. Derived from three minimal axioms-input determinism, representation invariance, and replayable reasoning-the work proves that all reproducible computation must factor through canonicalization followed by deterministic reasoning. DCL provides an architecture-independent foundation for deterministic and auditable artificial intelligence across scientific, regulated, and safety-critical domains.

The paper is published on Zenodo, CERN’s open research archive and assigned a permanent DOI.

Information Conservation Under Deterministic Computation A Canonical Invariance Theorem for Representation-Independent Information

Foundational Research Paper

This paper provides a theoretical foundation for several advanced computational and information-theoretic applications. By moving from a probabilistic view of information to a deterministic, representation-independent one, it offers unique solutions for verifying identity and conserving value across computations.

The paper is published on Zenodo, CERN’s open research archive and assigned a permanent DOI.

The Determinism Requirement for AGI: Why Stable Intelligence, Memory, Identity and Multi-Agent Cognition Require Deterministic Cognitive Substrates

Foundational Research Paper

This work establishes a formal requirement for determinism in artificial general intelligence by modeling AGI as a stateful dynamical system. It proves that reproducible reasoning, stable memory, identity continuity, and multi-agent synchronization necessarily require a deterministic cognitive core. The work provides a foundational theoretical constraint for building auditable, reliable, and scalable intelligent systems.

The paper is published on Zenodo, CERN’s open research archive and assigned a permanent DOI.

A Unified Covariant Framework for Quantum Dynamics, Electromagnetism and Gravity Using the Deterministic Computation Law

Theoretical Research

This work formalizes the Deterministic Computation Law (DCL) as a mathematical framework for reproducible computation, bridging deterministic system behavior and probabilistic dynamics within a single model. Although developed using tools from theoretical physics, the results directly inform how deterministic AI systems, stable inference, and reproducible decision pipelines can be designed and analyzed. The paper establishes a law-level foundation for computation where identical canonical inputs provably lead to identical outcomes.

The paper is published on Zenodo, CERN’s open research archive and assigned a permanent DOI.

Unifying Shannon Information Theory and Turing Computation Through Deterministic Representation

Foundational Research Paper

This paper provides a foundational framework unifying Shannon information theory and Turing computation through deterministic, reproducible state representation. It clarifies the structural conditions required for probabilistic information to be reliably used within deterministic computation. The work establishes a theoretical basis for reproducibility, auditability, and stability in modern computing and AI systems.

The paper is published on Zenodo, CERN’s open research archive and assigned a permanent DOI.