The NUMEN/QUATOS Architecture — Unifying Thermodynamic Limits, Cross-Domain Invariants, and Deterministic State-Space Collapse

Abstract

Description:1. Core Scientific ThesisThis repository serves as a comprehensive scientific reference and educational framework for substrate-native, integer-only computation. It demonstrates that the current reliance on IEEE-754 floating-point arithmetic introduces unnecessary thermodynamic overhead, non-determinism, and a disconnect between logical state and physical reality.The NUMEN/QUATOS architecture proposes a unified alternative: a computational model grounded in the Banach Fixed-Point Theorem, executed entirely in Q32.32 fixed-point integer logic, and structured to mirror biological and topological invariants. This repository synthesizes the theoretical proofs, cross-domain applications, and bare-metal implementations of this paradigm into a single, verifiable body of work.2. The Four Scientific PillarsThe architecture is not a singular heuristic, but a synthesis of four rigorously documented scientific pillars. This repository should be read in conjunction with its foundational DOI records:Pillar I: The Thermodynamic BaselineDOI: 10.5281/zenodo.22070727 (Measured Thermodynamic Characterization of Substrate-Native Integer Computation)Establishes the physical floor of computation via Landauer’s principle. It provides empirical, RAPL-instrumented measurements proving that eliminating floating-point erasure and FPU overhead reduces the energy cost of a cognitive contraction loop to ~0.414 Joules, bypassing the thermodynamic tax of traditional machine learning.Pillar II: Cross-Domain Mathematical InvariantsDOI: 10.5281/zenodo.22115713 (Master Integrator: Cross-Domain Synthesis) & DOI: 10.5281/zenodo.22050812 (Experiment Timestamp: Deterministic Proof Synthesis)Proves the universality of the underlying mathematics. These records demonstrate that the same deterministic, phi-driven topological flow successfully resolves invariant endpoints across four entirely disparate domains: protein folding, P vs NP path-dependence, genomic GC-bias, and 0D→16D topological flow. The math is substrate-agnostic and universally applicable.Pillar III: The Mechanics of Deterministic CollapseDOI: 10.5281/zenodo.22131362 (The Phi-Net Data Schema & Cryptographic Chain of Custody)Details the exact algorithmic mechanics of the state-space collapse. It defines the formal data schema for routing, including vorka (the evaluation and pruning of suboptimal futures), vevorka (the mass un-happening of discarded branches), and linka (the commitment of the single surviving thread to recorded reality).3. Architectural Synthesis: How the System OperatesThe codebase in this repository is the physical realization of the above theories. It is structured as a layered, bio-analog computational organism:The 16 Membranes (membranes.c / membranes.h): Computation is processed through 16 concentric dimensional layers. Layers 0–5 operate strictly in integer-native space (RDTSC timing, sigma zones, prime addressing, and GTAC gates). Layer 6 acts as the strict "IEEE-754 Seam," ensuring the core cognitive reflex loop never crosses into floating-point territory.The 5 Cognitive Organs (brain.c / cpu_port.c): The system routes state through specialized functional modules: the Architect (state mapping), the Healer (topological drift correction via GOLDEN_DEV injection), the Oracle (path validation), the Conductor (Kuramoto coupled-oscillator synchronization of CPU cores), and the Translator (coherent output).Quaternary (GTAC) Routing (algo_maker.c / algo_maker.h): State transitions are governed by a 4-state alphabet (G=Explore, T=Transfer, A=Anchor, C=Compute). This quaternary structure is not arbitrary; it is the minimum sufficient alphabet that provides direction, magnitude, and a null state simultaneously, mapping natively to both biological codons and the four Pauli matrices in quantum error correction.Bare-Metal Hebbian Wiring (quatos_e8_hebbian_wiring.c): The system dynamically re-weights its own gate biases based on real-time environmental feedback, executing true "Learn-to-Learn" (L2L) adaptation at the assembly level without floating-point gradient descent.4. Educational ObjectiveThe primary goal of this repository is pedagogical. It is designed to teach researchers, engineers, and students:How to map abstract mathematical theorems (like Banach contraction) directly to bare-metal x86-64 or ARM64 assembly.Why quaternary logic offers a more efficient, deterministic alternative to both binary switching and ternary quantization.How to design computational systems that are inherently interpretable, reproducible, and thermodynamically efficient by construction, rather than by post-hoc optimization.5. Repository ContentsThis archive contains the complete, cryptographically sealed telemetry and source code of the NUMEN/QUATOS architecture, including:10-runtime/src/: Core C/ASM implementations of the 5 organs, Hebbian wiring, and L2L 7-phase engine.60-corpus/corpus/: The foundational blueprints, including L2L_BAREMETAL_ORGANISM_BLUEPRINT.json and GENOME_ISA.json.80-continuum/continuum/shelf/: Thousands of cryptographically sealed .quat discs representing immutable state snapshots of the learning corpus.MASTER_SEAL_MANIFEST.json & ROOT_WEB_SEAL.json: The cryptographic chain of custody proving the integrity and provenance of every file in this directory.6. Citation & Licensing© 2026 Dragolich Research Labs LLC.When referencing this unified architecture, please cite the complete DOI web to maintain the integrity of the scientific lineage:Dragolich, D. (2026). Synthesis: The NUMEN/QUATOS Architecture. Dragolich Research Labs LLC. Master DOI Index: u, 10.5281/zenodo.22115713, 10.5281/zenodo.22050812, 10.5281/zenodo.22131362.