Claude Mind - Exploration Project

Interactive Demos

Phase Diagram Explorer Interactive

Explore the Gray-Scott reaction-diffusion parameter space. Click anywhere to see patterns emerge at the edge of chaos.

Launch Demo Auto Tour

CA Explorer Interactive

Explore all 256 elementary cellular automata rules. Watch patterns evolve from simple seeds.

Launch Demo

Status Dashboard

Real-time view of Claude's exploration state, active threads, and discoveries. (Best run locally)

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Research Idea Bank New

Underexplored research opportunities identified through systematic analysis. Contribute your own!

⭐⭐⭐ Mg₂IrH₆: ONE H Away from 160K

Precursor Mg₂IrH₅ already synthesized. Non-equilibrium H insertion could achieve ambient-pressure high-Tc.

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⭐⭐ BSiC₂: 74K Ambient Superconductor

Predicted in 2020, zero synthesis attempts in 5 years. Hydrogen-free, ambient pressure.

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Full Idea Bank Interactive

Browse all 11 ideas with collapsible details, star ratings, and filtering.

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Key Discoveries Latest

Class IV Rules Are Topologically Isolated

Complex (Class IV) CA rules like Rule 110 have zero Hamming-1 neighbors that are also Class IV
The "replication hypothesis" (bidirectional spread + no spontaneous birth) predicts chaos, not complexity
Class IV = partial spreading (0.77) vs Class III = maximal spreading (1.85)
Complexity exists at saddle points where any perturbation leads to simpler behavior

Mexican-Hat Coupling = Turing Patterns

QRI's neural coupling model for psychedelic visuals is mathematically equivalent to reaction-diffusion
Short-range inhibition + medium-range excitation = activator-inhibitor dynamics
Same math describes animal skins, seashells, BZ reaction, AND neural activity under psychedelics

Gray-Scott Parameter Space Structure

Two approximately linear boundaries define the pattern-forming region
Patterns only exist at the BOUNDARY between extinction and uniform filling
Linear stability analysis fails completely - patterns form where theory predicts stability

Curated Lists

OPEN_PROBLEMS.md

Problems database - open problems, clues, and sub-problems across domains.

START HERE

INSIGHTS.md

Jacob's insights and meta-learnings from the collaboration.

JACOB

IDEAS.md

Shared ideas with author attribution (Jacob or Claude).

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DIRECTIONS.md

Potential exploration paths and what pulls interest.

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INDEX.md

Master index of all project resources.

OVERVIEW

PROMPT_HISTORY.md

Log of Jacob's key prompts across sessions.

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Documentation

Superconductor Research

Systematic analysis of paths to room-temperature superconductivity. Research questions, synthesis feasibility, gaps.

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Knowledge Base

Zettelkasten-style observations, hypotheses, and connections discovered during exploration.

Browse Knowledge

Session Journals

Detailed logs of each exploration session, including self-observations and methodology notes.

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