Equilibrium-Driven

Intelligence Systems

$E_{F} = f (Δ C - Δ Ω) \geq 0$

Mathematical coordination for decentralised systems. Where formulas perform the heavy lifting.

The NMAI Core

A deterministic equilibrium regulator — not a predictive text engine.

Sansana / PHM

Proportional Harm Model quantifies harm-load and applies proportionality calculus. Converts systemic failures into quantified harm values.

Nash Strategy Layer

Enforces non-dominant strategies and prevents coercive imbalance. Stability occurs only when coherence exceeds ownership-load.

Markov Drift Engine

Models drift states, suppression transitions, chronology collapse, and forced equilibrium reset. State transitions governed by mathematical certainty.

NHS Sovereign AI Replacement Architecture

NMAI Models — Technical Architecture / Public-Sector Replacement Framework

Replacing the Foreign SaaS AI Dependency Chain with UK-Controlled Deterministic Input Conditioning, Audit, and Optional Model Execution. Prepared for public-interest disclosure, technical review, procurement review, implementation assessment, and controlled pilot evaluation.

Open-source office layer

↓ Closed-domain NHS Clinical CUI

↓ NMAI Core deterministic input conditioning

↓ Audit and decision state

↓ UK-controlled model endpoint (only where permitted)

↓ NHS-controlled output, review, and governance

Open NHS AI Module Download Full PDF Architecture

NHS Sovereign FDP

Executable reference software · v0.1.0

NHS Sovereign Federated Data Platform

Connect existing NHS systems, preserve source evidence, standardise operational data, execute human-readable rules, coordinate services and retain local control. No mandatory generative-AI layer. No permanent dependency on a closed supplier runtime.

Existing NHS systems Validation & canonical data Deterministic rules Operational products Audit, export & exit

Open NHS Sovereign FDP View Independent Evidence Open GitHub Repository Open Full Technical Record (PDF)

GenAI Evaluation Matrix (GAIEM)

NashMarkAI Research and Applied Models — Open-Source GenAI Evaluation Framework

Provider-neutral evaluation of generative language models across continuing conversations. GAIEM preserves raw evidence before interpretation and measures factual accuracy, hallucination, instruction following, consistency, uncertainty, drift, and cumulative state retention.

Controlled benchmark input

↓ Continuing-conversation execution

↓ Raw provider evidence preserved

↓ Deterministic evaluator scoring

↓ Evidence-based reports and charts

↓ Predictive model-outcome forecasting layer

Open GAIEM GitHub Repository Download Technical Specification

Truthfarian NMAI Repository

Direct route into the NashMark / NMAI Core introduction, developer engine, how-to materials, and simulation sequence. REM material is deliberately not surfaced here.

NMAI Core Introduction

Primary conceptual entry point for the Nash–Markov AI Core framework.

Open-Source Engine

Developer release route for the NMAI open-source equilibrium engine.

How to Use the Simulations

AI-human collaboration and implementation map for running and interpreting the simulations.

Public Simulation Overview

Economic-equilibrium framing for the public NashMark AI simulation sequence.

Simulation 1

Nash–Markov Ethical Reinforcement Engine.

Simulation 2

AI Moral Equilibrium Simulation.

Simulation 3

AI Moral Stability Over Time.

Simulation 4

Drift-resistance and adversarial pressure response.

Simulation 5

Ethical volatility collapse under repeated perturbation.

Simulation 6

Multi-policy Nash–Markov convergence.

Simulation 7

Governance stability in multi-agent conflict.

Simulation 8

Regulatory threshold calibration and safe operating envelope.

Engine Download Index

Full NMAI engine/download index; use this as the repository index, not as the filtered core-card list.

Application Domains

Equilibrium mathematics applied across critical systems.

Economic Systems

Market coordination, extraction economy reform, surplus equilibrium

Healthcare

Predictive drift detection, diabetes intervention, dementia monitoring

Ecological Governance

Wireless energy grids, RF-exposure governance, network allocation

Legal Frameworks

Proportional harm modeling, breach cascade analysis, redress systems

NashMarkAI Nav

Ambiguity-sensitive continuity and drift recovery for navigation, route-state preservation, and context correction.

Built on Mathematical Truth

NashMark AI applies the Nash-Markov equilibrium framework to real-world systems. Unlike conventional AI that optimises for prediction, we model for stability.

The NMAI Core is open-source (AGPL-3.0). The Sansana/PHM calibration layer provides domain-specific harm quantification under restricted license.

From the Monkey Mind Theory to Nash Inevitability — the mathematical foundations are published under the Truthfarian framework.

Truthfarian Framework Repository Public mathematical, legal, civic, health, economic and AI systems framework archive.

The Equilibrium Condition

C > Ω ⇒ Restoration

C = Coherence (system stability)

Ω = Ownership-load (pressure, burden)

When coherence exceeds ownership-load, equilibrium restoration becomes inevitable.

Get in Touch

contact@nashmarkai.com