Quantum Inquiry

Questions as Measurable Structures

Quantum Inquiry introduces a unified presentation of the HDT² canon: interrogative entropy, question geometry, drift diagnostics, recursive grounding, sandpile dynamics, the WWWWHW cube, and the development of instruments that test stability in AI cognition.

This site is not a publication — it is the navigation layer for the full research corpus hosted on Zenodo.

The Canon of Work (Zenodo)

A structured catalog of core releases. All versions and supplements are maintained on Zenodo; this section surfaces the main pillars.

A Geometric Instrument for Measuring Interrogative Entropy in Language Systems

Defines the WWWWHW cube, interrogative entropy, and the first deterministic proof for question-based cognitive fields.

DOI: 10.5281/zenodo.17811308 →

HDT²: A Pilot Framework for Entropy-Band Calibration of LLM Reasoning Stability

Introduces entropy-band calibration and the Φ* operator as a way to measure and stabilize LLM reasoning trajectories.

DOI: 10.5281/zenodo.17621325 →

HDT²: Pilot v2 — Follow-On Research Program

Extends the initial pilot into a structured multi-gate research program, refining calibration, validation, and deployment criteria.

DOI: 10.5281/zenodo.17621325 →

Zeno v0.2: A Pre-Deployment Behavioral Calibration Tool for LLMs

Formalizes the Zeno calibration harness for checking what a model has actually been trained to do, using behavioral probes and entropy bands.

DOI: 10.5281/zenodo.17694185 →

Live Experiments

Prototype tools that demonstrate how questions behave as measurable objects:

  • Drift Playground — visualize how question form alters entropy trajectories across answer sequences.
  • WWWWHW Cube — an interactive question geometry explorer showing how interrogative form configures the field.
  • Entropy Lens — inspect how small changes in interrogatives shift cognitive fields and stability bands.
  • Grounding Loop Tester — explore d → F → ? transitions using recursive grounding to interrupt drift.

Current Research Program

Active projects are organized as a single stack. Each layer either measures, perturbs, or regulates interrogative fields in LLMs and other cognitive systems.

  • A. HDT² Entropy-Band Calibration

    Pilot implementation of unsupervised entropy-band calibration (Φ*) and a seven-gate validation pipeline for reasoning stability.

    GitHub: hdt2-entropy-band-calibration →

  • B. Zeno Project

    An open-source calibration harness to test what an AI model has actually been trained to do. Uses scripted probes, entropy bands, and failure modes to characterize drift before deployment.

    GitHub: zeno-project →

  • C. Cube Geometry & WWWWHW Fields

    Companion code and figures for exploring how simple cube geometries exhibit (or lose) self-organized criticality under different inquiry-like biases.

    GitHub: CubeGeometryTest →

  • D. h-drift-lab

    Drift analysis laboratory for running large-scale experiments (e.g., HH-RLHF, FEATS) and testing how interrogative structure predicts affect and stability in LLM outputs.

    GitHub: h-drift-lab →

    • E. Research Frontier: Structured Unknowns & Integration Pathways

    Δ – Structured Unknowns and Open Problems maps the boundary between proven theory and unexplored territory. This document emerged from systematic comparative analysis and defines five critical Δ-regions: generalizability beyond HH-RLHF, integration of pre-generation and in-generation instruments, limits of determinism under real-world conditions, cross-model portability of interrogative entropy, and applications in governance and safety.

    These Δ-regions inform the design priorities for SCOPE, Noesis, HDT²-LSVS, and SCOPE-GED by identifying where formal theory must be extended and where validation resources should be directed.

    Read: Δ – Structured Unknowns →

  • E. In progress (Design Phase)

    SCOPE (Structural Change Observation in Prompts & Expression) formalizes longitudinal monitoring of how prompts and responses evolve over time.

    Noesis defines an AI assistant cognitive style closer to aphantasia: minimal internal imagery, maximal structural and semantic integrity, regulated by SCOPE.

    The HDT²–Levin Substrate Validation Suite (HDT²-LSVS) HDT²-style analysis of simple sorting algorithms based on Levin-style observations of unexpected competencies.

    SCOPE-GED A measurement framework for detecting drift and coherence patterns in artificial-consciousness narratives.

    These layers are specified and in design; public repositories will be added as the implementations stabilize.

Active Repositories

Live research in progress — experiments, frameworks, and tools actively under development.

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Open Invitation to Researchers and Collaborators

The Quantum Inquiry repositories are open for exploration, experimentation, and critique. Each project—HDT², Edos, HSIQ Reflector GPT, the diagnostic tools, and the emerging governance layers—is published in the spirit of transparent development: ideas under pressure, systems in motion, reasoning exposed rather than concealed.

Researchers, engineers, theorists, and curious builders are invited to:

  • Experiment with any of the existing systems
  • Fork, extend, or reconfigure the architectures
  • Propose new mechanisms grounded in HDT² or adjacent to it
  • Develop original research that draws on the theory, protocols, or reflective stacks
  • Discuss, critique, or refine any part of the work conceptual, technical, or philosophical

No contribution is too small or too exploratory. Inquiry evolves through contact, and these repositories exist as a shared space for that contact.

If you are testing a hypothesis, challenging an assumption, iterating on a failure mode, or building something unexpected, you are welcome here. The only requirement is epistemic honesty: document what you try, show what breaks, and let the work speak in its unfinished form.

For discussion, collaboration, or research alignment, open an issue, start a thread, or reach out through the channels provided. This is an open lab. If the work moves you, you are already part of it.