Independent Research

Five HDD Constructs in a Single Loop Joint Instantiation of the History-Dependent Dynamics Constructs, with a Test of the Ethical Framework's Criterion of Organizational Coherence Taotuner Independent Researcher, Brazil September 2026 DOI: https://doi.org/10.5281/zenodo.22735835 Abstract We implement all five constructs of the History-Dependent Dynamics (HDD) framework simultaneously within a single dynamical loop. The system runs on a p-adic state space over F13^3, driven by a Rule 30 cellular automaton as environment. Construct coexistence. All five constructs are jointly instantiated within this single system. This is the paper's primary contribution: the five HDD constructs have previously been validated only separately — Construct I in a synthetic benchmark, Construct IV in isolation on a two-variable system — and their joint instantiation has not been shown before. Joint instantiation here is evidenced through three separable measurement channels: predictive gai...

A Test of Functional Self-Reference (C-IV) DOI:  https://doi.org/10.5281/zenodo.22729688 Taotuner — September 12, 2026 Summary We test whether a p-adic algebraic system can identify, among two structurally symmetric internal representations whose labels carry no information about their role, which one is causally coupled to the system's own state, and then use the identified representation for control. The driver is chosen at random for each run; the controller is not informed which variable it is and must determine it by intervention. Three results are reported: Identification. A parallel-trajectory intervention produces exact separation between the coupled and uncoupled representations. Across 20 randomized driver assignments (5 with driver = A, 15 with driver = B), the coupled representation diverged by 15 and the uncoupled representation by 0 in every run. Functional use. With the identified representation, the system maintains a target invariant for 99.8% of control steps. Wit...

A Philosophical Interpretation of History-Dependent Dynamics (HDD) Author: Taotuner DOI: https://doi.org/10.5281/zenodo.22683226 Companion piece to History-Dependent Dynamics (HDD), Zenodo, https://doi.org/10.5281/zenodo.21955745 Preface HDD asks a scientific question: When does a system's history make a difference to its future? HDO gives the philosophical answer: When that history reorganizes the system's available transitions, it becomes part of what the system is. The Bridge Principle governs the relation: HDD establishes empirical facts. HDO interprets their ontological significance. The inference from “history is dynamically relevant” to “history is constitutive of processual identity” is abductive — it is a highly coherent and well-motivated interpretation of the evidence, not a deductive consequence. HDD's methodological neutrality toward ontology is a deliberate and permanent feature of that framework, not a placeholder awaiting completion by HDO. H...

HDD-ISA: AI Architectures for Causal Discriminations An Interface Specification for Testing Memory, Recurrence, Self-Reference, and Self-Modeling Taotuner — August 2026 Companion specification to Taotuner (2026), History-Dependent Dynamics (HDD): A Methodological Framework for Disentangling History Dependence, Recurrence, Self-Reference, and Self-Modeling in Dynamical Systems. DOI:  https://doi.org/10.5281/zenodo.22060143 Abstract Modern AI architectures increasingly incorporate persistent state, recurrence, predictive representations, agent representations, and mechanisms capable of representing aspects of the system itself. The presence of such mechanisms, however, does not establish the functional role attributed to them. Likewise, behavioral effects alone generally do not identify the internal mechanism responsible for those effects. We propose HDD-ISA, an architectural interface specification for translating the five functional constructs defined by History-Depend...

A Methodological Framework for Disentangling History Dependence, Recurrence, Self-Reference, and Self-Modeling in Dynamical Systems Taotuner Independent Researcher, Brazil August 2026 Abstract Many physical, chemical, biological, neural, and artificial systems exhibit dynamics that depend on their previous states. Such phenomena are described using concepts including memory, adaptation, hysteresis, non-Markovianity, recurrence, and self-modeling. These concepts are related but are not equivalent, and evidence for one does not automatically establish the others. This paper introduces History-Dependent Dynamics (HDD), a falsifiable methodological framework for experimentally disentangling increasingly specific inferential claims about history-dependent organization. HDD begins with a basic empirical question: does information about the past improve out-of-sample prediction of future system behavior beyond the measured present state and current inputs? It then proposes progressively stron...

HDD-ESA: Engineering Systems Architecture A Practical Guide to History-Dependent Causal Testing and Testability-by-Design Author: Taotuner DOI:  https://doi.org/10.5281/zenodo.22313802 August 2026 In short: many control-system problems that look like tuning drift, intermittent faults, or “just how the equipment behaves” are actually history-dependent effects — the system’s past trajectory, not just its current state, is shaping its behavior. This guide gives five concrete tests to determine whether that is happening in a given system, isolate what is causing it, and design new systems so the answer is cheap to obtain. Missing this distinction means retuning controllers that were never the problem, replacing hardware that was never faulty, or chasing intermittent faults with no fixable root cause. Companion document to HDD-ISA — AI Architectures for Causal Discriminations (Taotuner, 2026b) and the History-Dependent Dynamics (HDD) framework (Taotuner, 2026a). HDD-ISA ap...