The Full Nelson Engine: Unified Carlo Behavioural Transformation System (Complete Specification and Companion Framework)

The Full Nelson Engine is the unified Carlo behavioural transformation system. It integrates all known Carlo subsystems — phase, memory, rift, static, echo, membrane, counter‑logic, region structures, and trace systems — into a single deterministic, append‑only pipeline. This deposit includes the 60‑page core specification plus the complete companion pack. CONTENTS OF THE 60‑PAGE CORE DOCUMENT • Purpose and rationale: why a unified engine was required. • CMP structure: values, states, zones, bundles, traces, regions. • Input parsing and initialisation. • Core Formation Pass: Static‑Braid, Loop‑Memory, Static‑Loop. • Phase/Rift Pass: Phase‑Braid, Phase‑Rift, Counter‑Rift, Counter‑Phase‑Rift. • Memory/Static Pass: Static‑Memory, Memory‑Rift, Memory‑Anchor, Phase‑Memory, Phase‑Static. • Membrane/Echo Pass: Echo‑Membrane, Membrane‑Brake, Memory‑Echo‑Loop, Static‑Brake. • Counter Engines Pass: Counter‑Flare, Counter‑Phase, Counter‑Static, Counter‑Loop, Counter‑Memory. • Finalisation: tag normalisation, trace summary, serialisation. • Operator definitions and constraints. • Region system: braid, rift, membrane, anchor regions. • Full horizontal pseudocode for the engine. CONTENTS OF THE COMPANION PACK • Definitions & Core Concepts • Operator Reference Sheet • Engine Flow Diagram (ASCII) • Examples Page • Worked Examples • Edge Cases & Extreme Conditions • Testing & Validation Suite • Minimal Working Example • Meta‑Summary / Researcher Notes • Inline Overview WHAT THE ENGINE IS A deterministic, transparent, append‑only behavioural engine. It unifies all Carlo subsystems, preserves all histories, stabilises rifts, formalises echo recursion, and ensures reproducible outputs. It is the reference implementation for advanced Carlo research and future extensions. WHAT IT MEANS • Memory behaves as a branching timeline. • Phase is a history, not a label. • Static behaviour evolves through metadata. • Echo is recursion, not repetition. • Rifts form trees, never cycles. • Counter‑logic is required for stability. • Deterministic ordering is a fundamental rule. • No deletion: all behaviour is append‑only. HOW WE GOT HERE Barebones Engine → Minimal Working Example → Big Daddy Engine V2 → Carlo Universal Pseudocode → Full Nelson Engine. Each stage added structure, determinism, and behavioural completeness until all subsystems were unified. EQUATIONS: CMPₒut = CMPᵢn > COREFORMATION > PHASERIFT > MEMORYSTATIC > MEMBRANEECHO > COUNTERENGINES > FINALISE phaseᵢnverse = -phaseVₙext = Vcurrent - 2echoₙ = echo_ (n-1) + reflectionmemoryₙext = memoryₚrev ∪ record state → stateA + stateBloopᵢnverse = -loopdirectionmemoryᵢnverse = invert (memory) phaseₕistoryₙext = phaseₕistoryₚrev ∪ phase traceₙext = traceₚrev ∪ pass region = elements with role = roleₜype SUMMARY This deposit provides the complete Full Nelson Engine specification and all companion documents. It is the definitive reference for Carlo behavioural modelling, engine construction, and future Carlo extensions. Deterministic, transparent, append‑only, and structurally complete, it forms the foundation for the Carlo Visual Language, Carlo Cognitive Model, and Carlo Trajectory Simulator. Keywords: Full Nelson Engine, Carlo Framework, Behavioural Transformation Systems, Deterministic Pipelines, Append‑Only Memory, Phase Dynamics, Phase Inversion, Phase History, Phase‑Rift Systems, Memory‑Rift Systems, Static Behaviour, Static‑Brake Dynamics, Static‑Memory, Static‑Anchor, Echo Recursion, Echo‑Membrane Physics, Membrane‑Brake, Loop‑Memory, Loop‑Inverse, Counter‑Logic, Counter‑Phase, Counter‑Static, Counter‑Loop, Counter‑Memory, Behavioural Stability, Region Systems, Braid Regions, Rift Regions, Membrane Regions, Anchor Regions, CMP Structure, Values States Zones Bundles Traces, Horizontal Pseudocode, Carlo Universal Pseudocode, Behavioural Trees, Rift Trees, Non‑Merging Branches, Deterministic Ordering, Trace Growth, Trace Preservation, Behavioural Audit Trails, Engine Pass Architecture, Core Formation Pass, Phase and Rift Pass, Memory and Static Pass, Membrane and Echo Pass, Counter Engines Pass, Finalisation Pass, Tag Normalisation, Serialisation, Behavioural Modelling, Computational Behaviour Systems, Recursive Echo Structures, Multi‑Pass Engines, High‑Order Behaviour, Carlo Cosmology, Engine Unification, Behavioural Topology, Behavioural Physics, Transformation Algebra, Engine Determinism, Engine Stability, Behavioural Invariants, Extreme Conditions, Edge Cases, Stress Testing, Memory Explosion, Phase Oscillation, Echo Saturation, Static Dominance, Membrane Dynamics, Behavioural Anchoring, Behavioural Recursion, Behavioural Deceleration, Behavioural Inversion, Carlo Visual Language, Carlo Cognitive Model, Carlo Trajectory Simulator, Future Extensions, Research‑Grade Engine, Formal Specification, Engine Validation, Engine Testing, Minimal Working Example, Big Daddy Engine V2, Barebones Engine Template, Full Nelson Pack, Unified Behavioural Engine, Computational Frameworks, Advanced Systems Modelling, Behavioural Equations, Transformation Equations, Phase Equations, Memory Equations, Static Equations, Echo Equations, Counter Equations, Region Equations, Carlo Mathematics, Behavioural Algebra, Engine Theory, Deterministic Systems, Recursive Systems, Multi‑Layer Behaviour, High‑Fidelity Modelling, Scientific Frameworks, Zenodo Research Deposit