Research index
Publications
This page presents selected research relevant to the Andaluz technical programme and its development. It is not the complete publication archive of Sergiu Margan.
Canonical versions remain where they already live. Where a verified external record exists it is linked directly. Andaluz publishes an index, not copies.
View the broader research archiveGroup 1 · Current programme
Kernel, closure & authority research
Kernel, closure, authority and verification research relevant to the current Andaluz programme. These are theoretical, formal and architectural records; not every one is a direct predecessor of the Kernel ANN implementation. The bounded experimental evidence for Kernel ANN is reported separately.
- FORMAL2025
Moral Kernel Optimization: TRO, Simulation Theory, and the Coherence of Reality (v3.1)
The constraint layer: non-indexical guardrails for preservation, non-bypassability, anti-domination, and repair.
Andaluz summary
Record on PhilPapers
Primary MKO record. The constraint-first commitments Kernel ANN inherits are stated here; it contains no Kernel ANN experiments. - THEORETICAL2025
Moral Kernel Optimization as an Alignment Constraint for Large Language Models
Applies the moral-kernel constraint layer to large language models as an alignment constraint.
- ARCHITECTURE2026
Ground: An Operational Implementation of Moral Kernel Optimization
Describes 'Ground' — a practical implementation of MKO as an operational system for AI alignment and human decision support.
- FORMAL2025
The Margan Closure Theorem: Ethical Latency and the Preservation of Freedom Under Total Revelation
A closure result on ethical latency and the preservation of freedom under total revelation.
Record on PhilArchive - FORMAL2025
The Kernel Transfer Theorem: A Dichotomy for Event-Valued Worlds (TRO/MKO)
A dichotomy result for event-valued worlds within the TRO/MKO framework.
- THEORETICAL2025
The Kernel Law of Evolution: Moral Coherence as the Final Condition of Existence
Proposes that evolution's terminal attractor is not fitness but moral coherence — systems that violate this converge on extinction.
- THEORETICAL2026
Bundled Value, Truncated Responsibility: A Kernel Account of AI Output Liability
Analyses how value bundling in AI outputs creates liability gaps, and proposes a kernel-based responsibility attribution framework.
Record on PhilArchive - FORMAL2026
A General Objective Dichotomy: On the Structural Limits of Moral Authority
Identifies a structural dichotomy that bounds what moral authority can legitimately demand across all normative frameworks.
Record on PhilArchive - ARCHITECTURE2026
The Synthetic Mind Charter: Developmental Agency-Span Safety and Substrate-Invariant Agency Structure
Proposes a constitutional framework for synthetic minds grounded in agency-span development rather than substrate.
- FORMAL2026
Retention Is Not Closure: Implication-Unfolding Reasoning and the Limits of Preservation-Only Accounts
Distinguishes epistemic retention from genuine closure, arguing that implication-unfolding is required for the latter.
- FORMAL2025
The One-Point Convergence Theorem: Coherent Agency Under Expanding Reasoning Horizons
Establishes that under expanding reasoning horizons, coherent agents converge to a single terminal point.
Group 2 · Provenance
Foundational lineage
Earlier work from which the current commitments emerged. Listed as intellectual and technical provenance; none of it constitutes experimental validation of Kernel ANN.
- FOUNDATIONAL LINEAGE2025
The Redemption Optimization: Why Evil Exists in a Divine Blueprint for Ultimate Good
The moral engine: harm, freedom, mercy, justice, and repair evaluated through actual events rather than abstract principles.
Andaluz summary
Record on PhilPapers
Foundational work in the research lineage that later led to MKO, closure theory and Kernel ANN. It is not experimental evidence for any Kernel ANN claim. - THEORETICAL2026
The Coherence Wall: Anti-Kernel Constraint Systems and Collapse Specifications
Defines the 'coherence wall' — the boundary beyond which optimisation systems lacking kernel constraints catastrophically collapse.
Record on PhilArchive - FORMAL2026
The Coherence Wall Repaired: Claim Calibration, Mathematical Requirements, and a Conditional Finite-State Divergence Theorem for Kernel-Free Optimizers
Strengthens the coherence wall theorem with calibrated claims and a conditional finite-state divergence result for kernel-free systems.
Andaluz summary
The divergence result is conditional; it is not a general safety result. - EMPIRICAL2026
The Coherence Wall as Civilizational Mirror: Kernel-Constrained Long-Horizon Optimization in a Toy Resource Economy
Demonstrates coherence-wall dynamics in a toy resource economy, validating the boundary hypothesis for long-horizon AI optimisation.
Andaluz summary
Record on PhilArchive
A bounded toy-economy simulation. It is separate from, and not evidence for, the Kernel ANN experimental programme. - THEORETICAL2026
A Testable Boundary Hypothesis for Long-Horizon Optimization in AGI
Proposes a testable hypothesis: AGI systems without kernel constraints will breach the coherence wall within bounded time.
Andaluz summary
Record on PhilArchive
Stated as a hypothesis. It is not reported here as a tested result. - THEORETICAL2026
Coherence Wall Breach Without Kernels: The Coherent Annihilator Failure Mode
Identifies a previously unnamed failure mode — the coherent annihilator — in kernel-free optimisation architectures.
- RESEARCH NOTE2026
The Coherence Wall and the Cold War of Machine Learning: Capability Competition and the Aftermath of Unbounded AI
Analyses AI capability races as coherence-wall dynamics, drawing parallels with Cold War deterrence and mutual assured collapse.
- THEORETICAL2025
The Coherence Wall: Why AGI Architectures Must Mathematically Diverge
An earlier formulation of the coherence wall applied to AGI architectures.
Group 3 · Context
Related theoretical work
Secondary theoretical context, linked rather than reproduced. Canonical homes are on the author's archives.
The Ontic Coherence Theorem: From Moral Kernel to Physical Law
2025Related theoretical context. Canonical record held externally.
PhilArchiveThe Ontic Coherence Theorem (C⇒G): Formal Proof and Logical Completion of the Ontic Closure Chain
2025Related theoretical context. No external record link established.
The Constraint Primacy Theorem: Why Measurable Physics Requires Pre-Spacetime Invariance
2025Related theoretical context. No external record link established.
Convergence Science
The broader research framework preceding the Andaluz technology programme.
sergiumargan.comThe complete research archive — including physics, metaphysics, theology, policy and book material outside the Andaluz programme — remains on the author's site.
Full archive at sergiumargan.com
