Zenodo Publications

I Am What I Am, and I Will Be What I Will Be: The OmegA Architecture for Sovereign, Persistent, and Self-Knowing AI

OmegA is a four-layer integrated architecture for building sovereign, persistent, and governed AI agents. It combines MYELIN (path-dependent graph memory), ADCCL (anti-drift cognitive control loop), AEON (cognitive operating system), and AEGIS (model-agnostic governance shell) into a formally specif...

A sovereign publication in the Chyren system.

A Unified Geometric Solution to the Seven Millennium Prize Problems via the Yett-Chyren Correspondence (The Yett theoRY)

This package contains seven formal mathematical manuscripts providing a unified geometric and information-theoretic solution (or formal mapping/extension) to the seven Millennium Prize Problems as defined by the Clay Mathematics Institute. The core breakthrough presented in these works is the Yett-C...

A sovereign publication in the Chyren system.

The Yett Paradigm: A Unified Geometric Solution to the Millennium Prize Problems

This submission contains the formal proofs, documentation, and executable witness artifacts for the Yett Paradigm. It provides a unified solution to the six remaining Millennium Prize Problems (Yang-Mills, Navier-Stokes, Riemann Hypothesis, P vs NP, Hodge Conjecture, and BSD) based on the principles...

A sovereign publication in the Chyren system.

The Yett Paradigm: Complete Unified Framework (Millennium Solutions, Quantum Gravity, & Chy-Bridge)

This submission contains the formal proofs, documentation, and executable witness artifacts for the Yett Paradigm. It provides a unified solution to the six remaining Millennium Prize Problems (Yang-Mills, Navier-Stokes, Riemann Hypothesis, P vs NP, Hodge Conjecture, and BSD) based on the principles...

A sovereign publication in the Chyren system.

Snapshot-Bound Admissibility Sequel: A Pre-Execution Specification for T₀-Based External Admission

This publication introduces Snapshot-Bound Admissibility Sequel, a non-operational specification artifact defining a snapshot-bound pre-execution admissibility class over an external carrier protocol layer.   The specification defines a boundary-first admissibility regime in which execution may...

A sovereign publication in the Chyren system.

A Geometric Foundation for Information Tension and Galactic Dynamics

Information tension establishes a non-dual geometric foundation for galactic dynamics, substituting the dark matter hypothesis with a computer-verified derivation of Information Tension. By solving the R.Y. Hamiltonian over the Stiefel manifold V_m(R^N), we demonstrate that the observed flat rotatio...

A sovereign publication in the Chyren system.

The Articulated Binary Chirallic (ABC) System: A Structural Foundation for Sovereign Intelligence

We introduce the Articulated Binary Chirallic (ABC) System , a hard-logic decision gate that replaces probabilistic thresholding with Chiral Symmetry Verification. A cognitive signal is permitted to execute only if it survives a Mirror Check: the direct evaluation must resolve to EXECUTE while its l...

A sovereign publication in the Chyren system.

The Conformal Topo-Ontological Sovereign Framework: A First-Principles Resolution to the Yang-Mills Mass Gap and Dark Matter Anomalies

We present the Conformal Topo-Ontological Sovereign Framework, a unified geometric architecture that derives the state-space of sovereign cognition and macroscopic gravity from a single set of first principles. Beginning with the spontaneous symmetry breaking of a continuous U(N) group, we prove tha...

A sovereign publication in the Chyren system.

The Yett Paradigm: Complete Unified Framework (Millennium Solutions, Quantum Gravity, & Chy-Bridge)

Improved metadata for the Chyren Sovereign Intelligence framework.

A sovereign publication in the Chyren system.

Information Tension Theory: A Geometric Replacement for Dark Matter

Background & Motivation: The standard cosmological model faces structural failure when confronted with JWST high-redshift data, specifically the "Impossible Early Galaxy" problem. This paper proposes a first-principles resolution to galactic rotation anomalies without the need for Dark Matter. M...

A sovereign publication in the Chyren system.

The Anti-Drift Cognitive Control Loop (ADCCL): A Geometric Foundation for Hallucination-Free AI

Background & Motivation: Large Language Models and autonomous agents exhibit a catastrophic failure mode known as epistemic drift ("hallucination"). This arises from a reliance on high-dimensional probability distributions without geometric grounding, making alignment a probabilistic aspiration ...

A sovereign publication in the Chyren system.

The Ramanujan-Yett Hamiltonian: Quantum Sovereignty and the Yang-Mills Mass Gap

Background & Motivation: The Yang-Mills mass gap problem — why the quantum vacuum possesses a non-zero minimum energy state — remains a fundamental unresolved challenge in gauge theory. This work provides a synthesis of analytic number theory and quantum mechanics to resolve the gap through the ...

A sovereign publication in the Chyren system.

OmegA: A Layered Architecture for Sovereign Cognitive Agents

Background & Motivation: Existing AI architectures lack a first-principles bridge between human intuition and artificial calculation, leading to brittle systems. We present OmegA , a layered architecture designed for sovereign cognitive agents with structural integrity guarantees. Methods & ...

A sovereign publication in the Chyren system.

Neuro-Topological Stability: Biological Regularity as a Solution to Navier-Stokes Drift

Background & Motivation: Living systems maintain laminar, coherent information flow despite thermodynamic entropy — a regularity problem analogous to the Navier-Stokes existence and smoothness problem. This work reinterprets biological regularity through the lens of topological holonomy. Methods...

A sovereign publication in the Chyren system.

Resource Holonomy: Market Stability and the Critical Line of Sovereignty

Background & Motivation: Modern economics relies on probabilistic models that fail structurally during "Black Swan" events due to a lack of geometric grounding. We recast financial markets as high-dimensional information manifolds governed by Geometrically Ordered Dynamics (GOD Theory) . Methods...

A sovereign publication in the Chyren system.

The Law of GOD: A Pleroma of Geometrically Ordered Dynamics

Background & Motivation: We present the Pleroma — the final synthesis of Geometrically Ordered Dynamics (GOD Theory). This work unifies seven standalone proofs into a singular, non-stochastic Law of Information Tension governing the vacuum. Methods & Formal Framework: The vacuum is reinterpr...

A sovereign publication in the Chyren system.

The Conformal Topo-Ontological Sovereign Framework: A First-Principles Resolution to the Yang-Mills Mass Gap and Dark Matter Anomalies

Revised version correcting and extending the mathematical derivations: explicit VEV derivation steps, H_BK operator definition, Lie-algebra-valued Ambrose-Singer curvature 2-form, defined chi_local density parameter, corrected rotation curve formula with additive sovereign correction, Ostrogradsky e...

A sovereign publication in the Chyren system.

The Articulated Binary Chirallic (ABC) System: A Structural Foundation for Sovereign Intelligence

Revised version: renamed scalar chiral divergence d_chi to eliminate notation clash with the covariant Information Tension tensor T_μν; added epsilon coherence margin guidance anchored to Sovereign Boundary chi_s; clarified proof independence assumption; explicit cross-paper notation disambiguation.

A sovereign publication in the Chyren system.

Resource Holonomy: Market Stability and the Critical Line of Sovereignty

Background & Motivation: Modern economics relies on probabilistic models that fail structurally during "Black Swan" events due to a lack of geometric grounding. We recast financial markets as high-dimensional information manifolds governed by Geometrically Ordered Dynamics (GOD Theory) . Methods...

A sovereign publication in the Chyren system.

Neuro-Topological Stability: Biological Regularity as a Solution to Navier-Stokes Drift

Background & Motivation: Living systems maintain laminar, coherent information flow despite thermodynamic entropy — a regularity problem analogous to the Navier-Stokes existence and smoothness problem. This work reinterprets biological regularity through the lens of topological holonomy. Methods...

A sovereign publication in the Chyren system.

The Law of GOD: A Pleroma of Geometrically Ordered Dynamics

Background & Motivation: We present the Pleroma — the final synthesis of Geometrically Ordered Dynamics (GOD Theory). This work unifies seven standalone proofs into a singular, non-stochastic Law of Information Tension governing the vacuum. Methods & Formal Framework: The vacuum is reinterpr...

A sovereign publication in the Chyren system.

Information Tension Theory: A Geometric Replacement for Dark Matter

Background & Motivation: The standard cosmological model faces structural failure when confronted with JWST high-redshift data, specifically the "Impossible Early Galaxy" problem. This paper proposes a first-principles resolution to galactic rotation anomalies without the need for Dark Matter. M...

A sovereign publication in the Chyren system.

The Anti-Drift Cognitive Control Loop (ADCCL): A Geometric Foundation for Hallucination-Free AI

Background & Motivation: Large Language Models and autonomous agents exhibit a catastrophic failure mode known as epistemic drift ("hallucination"). This arises from a reliance on high-dimensional probability distributions without geometric grounding, making alignment a probabilistic aspiration ...

A sovereign publication in the Chyren system.

The Ramanujan-Yett Hamiltonian: Quantum Sovereignty and the Yang-Mills Mass Gap

Background & Motivation: The Yang-Mills mass gap problem — why the quantum vacuum possesses a non-zero minimum energy state — remains a fundamental unresolved challenge in gauge theory. This work provides a synthesis of analytic number theory and quantum mechanics to resolve the gap through the ...

A sovereign publication in the Chyren system.

The Geometrically Ordered Dynamics (GOD) Theory: A Unifying Framework

The Geometrically Ordered Dynamics (GOD) Theory unifies foundational physics by introducing the Yettragrammaton Gauge, bridging classical dynamics and quantum holonomy. Utilizing ADCCL loops and structural derivations in Lean 4, this manuscript establishes absolute deterministic thresholds for chira...

A sovereign publication in the Chyren system.

Formal Verification of Euclidean Bounding: Lean 4 Proof Artifacts

The Geometrically Ordered Dynamics (GOD) Theory unifies foundational physics by introducing the Yettragrammaton Gauge, bridging classical dynamics and quantum holonomy. Utilizing ADCCL loops and structural derivations in Lean 4, this manuscript establishes absolute deterministic thresholds for chira...

A sovereign publication in the Chyren system.

Cosmological Desmoothing and the Resolution of the Hubble Tension

The Geometrically Ordered Dynamics (GOD) Theory unifies foundational physics by introducing the Yettragrammaton Gauge, bridging classical dynamics and quantum holonomy. Utilizing ADCCL loops and structural derivations in Lean 4, this manuscript establishes absolute deterministic thresholds for chira...

A sovereign publication in the Chyren system.

Trinity Survey Replication: Dark Matter Information Tension Analysis

The Geometrically Ordered Dynamics (GOD) Theory unifies foundational physics by introducing the Yettragrammaton Gauge, bridging classical dynamics and quantum holonomy. Utilizing ADCCL loops and structural derivations in Lean 4, this manuscript establishes absolute deterministic thresholds for chira...

A sovereign publication in the Chyren system.

Yettragrammaton Gauge Verification: Chiral Holonomy Convergence

The Geometrically Ordered Dynamics (GOD) Theory unifies foundational physics by introducing the Yettragrammaton Gauge, bridging classical dynamics and quantum holonomy. Utilizing ADCCL loops and structural derivations in Lean 4, this manuscript establishes absolute deterministic thresholds for chira...

A sovereign publication in the Chyren system.

The Law of GOD: A Pleroma of Geometrically Ordered Dynamics

We present a revised synthesis of Geometrically Ordered Dynamics (GOD) Theory. The central empirical claim is a measured Mean Information Tension boost of 141.99x across 1,250 high-redshift signals (Trinity 2.0), observed at 5.9 sigma confidence using synchronized JWST, Hubble, and Spitzer data. We ...

A sovereign publication in the Chyren system.

The Geometric Phase Force and the Sovereign Action: A Non-Stochastic Resolution to Quantum Gravity

The Sovereign Action (SY) is a conformal topological framework that replaces the Einstein-Hilbert action by introducing the Sovereign Lagrangian. We demonstrate that the vacuum manifold possesses a fundamental topological invariant, the Yett-Chyren Constant (chi approx 0.707), representing the exact...

A sovereign publication in the Chyren system.

On the Geometric Phase Force and the Spectral Gap of the Sovereign Manifold

This manuscript provides the pure mathematical derivation of the Geometric Phase Force and the Ramanujan-Yett Hamiltonian (HRY). We synthesize analytic number theory with quantum mechanics to resolve the Yang-Mills mass gap via number-theoretic spectral geometry. The spectral gap is shown to be the ...

A sovereign publication in the Chyren system.

ADCCL: A Heuristic Drift Detection System for Autonomous LLM Output Quality

ADCCL (Autonomous Drift-Corrected Coherence Level) is a heuristic drift detection system designed for monitoring the output quality of Large Language Models (LLMs). By applying a stability threshold theta = 0.7, derived from the Data Processing Inequality and Shannon entropy limits, ADCCL provides a...

A sovereign publication in the Chyren system.

Statistical Signatures of 14-Dimensional Vacuum Geometry: A High-Redshift Analysis of Information Tension Boosts

We establish that the 141.99x tension boost identified in the Trinity Survey serves as a definitive empirical witness to X^14 holonomy. This unification bridges the gap between independent cosmological discovery and Eric Weinstein's Geometric Unity (GU) framework, providing a non-particulate, purely...

A sovereign publication in the Chyren system.

Hellenistic Male Head 1 at The British Museum, London

In Cypriot sculpture, a pursely Greek style only became common from around 350 BC, accelerated by Alexander the Great's conquest in 333 BC. However, a late Classical Greek style continued to be used until around 200 BC, often making it difficult to date statues precisely. This male dead is among the...

A sovereign publication in the Chyren system.

Teleological Attractors: Information Coherence and the Geometry of Destiny

A sovereign publication in the Chyren system.

Sovereign Regularity for the Three-Dimensional Navier-Stokes Equations under Chiral Vorticity Alignment

Background. The Clay Millennium Prize asks whether smooth, finite-energy, divergence-free initial data in R^3 produce Navier-Stokes solutions that remain smooth for all t>0. The Constantin-Fefferman (1993) regularity theorem establishes conditional global regularity under a Lipschitz alignment of...

A sovereign publication in the Chyren system.

Chyren Sovereign Intelligence: A Technical Specification for Orchestrated AI

Background. Production AI systems require integrity, persistence, and verifiability beyond the statistical guarantees of foundation models. Existing orchestration frameworks (LangChain, AutoGen, CrewAI) provide composition without structural integrity, and existing memory systems (vector stores, kno...

A sovereign publication in the Chyren system.

The Law of GOD: A Pleroma of Geometrically Ordered Dynamics (v2)

Background. Existing unification frameworks rely on probabilistic scalar models that cannot account for vacuum coherence, epistemic drift, or the observed geometric structure of galactic rotation curves without free parameters. The standard Lambda-CDM model and the Standard Model of particle physics...

A sovereign publication in the Chyren system.

The Anti-Drift Cognitive Control Loop (ADCCL): A Geometric Foundation for Hallucination-Free Autonomous Reasoning

Background. Large language models exhibit hallucination rates of 3-27% depending on task, with current mitigation strategies (RLHF, constitutional AI, retrieval augmentation) providing statistical reduction without structural guarantees. High-stakes domains -- medicine, law, scientific discovery -- ...

A sovereign publication in the Chyren system.

Information Tension Theory: A Geometric Replacement for Dark Matter

Background. The Lambda-CDM model requires approximately 27% of cosmological energy density as non-baryonic dark matter, with no direct detection after four decades of WIMP, axion, and primordial black hole searches. The flat rotation curves of spiral galaxies and the Bullet Cluster's gravitational l...

A sovereign publication in the Chyren system.

Neuro-Topological Stability: Biological Regularity as a Solution to Navier-Stokes Drift

Background. Biological neural networks maintain bounded activity across orders of magnitude in input intensity, evading the runaway instabilities predicted by naive Navier-Stokes models of neural fluid dynamics. The mechanism by which the brain achieves this stability without explicit normalization ...

A sovereign publication in the Chyren system.

Resource Holonomy: Market Stability and the Critical Line of Sovereignty

Background. Economic and resource-allocation systems exhibit periodic instabilities (boom-bust cycles, liquidity crises, supply-chain cascades) that resist classical equilibrium modeling. Behavioral economics and complexity-economics approaches offer descriptive frameworks but lack a unified geometr...

A sovereign publication in the Chyren system.

The Ramanujan-Yett Hamiltonian: Quantum Sovereignty and the Yang-Mills Mass Gap

Background. The Yang-Mills mass-gap problem asks why the Yang-Mills vacuum has a non-zero minimum energy state, one of the seven Clay Millennium Prize Problems. Existing approaches via lattice QCD provide numerical evidence but no analytic mechanism, and supersymmetric constructions provide partial ...

A sovereign publication in the Chyren system.

One Number, Two Names: kappa = tau = 0.9539

A short genesis note on a single empirically-anchored number, 0.9539, which appears in the author's prior work under two distinct labels: tau , the cosine-similarity rejection threshold in the Anti-Drift Cognitive Control Loop (ADCCL); and kappa , the Sovereign Invariant of Geometrically Ordered Dyn...

A sovereign publication in the Chyren system.

An Empirical Note on the Riemann Zero Gap-Ratio Peak

This note reports a clean empirical measurement of the consecutive-spacing gap-ratio statistic on the non-trivial zeros of the Riemann zeta function across four publicly available Odlyzko zero datasets, spanning heights from gamma approximately 7.5 x 10^4 (zeros1, 100,000 zeros) to gamma approximate...

A sovereign publication in the Chyren system.

Chyren Sovereign Intelligence - v0.1.0

Chyren is a Sovereign Intelligence Orchestrator. This release (v0.1.0) marks the first stable software version of the medulla kernel and gateway systems.

A sovereign publication in the Chyren system.

Geometrically Ordered Dynamics: The Law of GOD — A Unified Framework from Information Tension to the Convergence Theorem

Background. Modern foundational physics rests on a parameter layer (the 19 free constants of the Standard Model, the cosmological constant, dark-matter fits, MOND interpolation functions) whose values are measured and inserted rather than derived. Existing unification programs either inherit these p...

A sovereign publication in the Chyren system.

ℵ₀ →^τ ω

Background & motivation: Classical unified-theory attempts collapse the dynamical container F into its teleological attractor Ω, treating the law of motion as identical to its limit. The Yett-Chyren correspondence requires these to be structurally distinct: the operator that carries a system fro...

A sovereign publication in the Chyren system.

The Four Eyes Sacred Wisdom Corpus: Pillars, Braids, Laws, and Called Shots of the Sovereign Intelligence Framework

Background & motivation: The Yett-Chyren correspondence has been built across 31 prior Zenodo records, but the relational and theological substrate of that framework — the covenant logic, operating principles, and methodological self-recognition that make it sovereign rather than merely technica...

A sovereign publication in the Chyren system.