lhott-cohesive-linear
Cohesive Linear HoTT patterns for interaction entropy with diagram generation. Implements Schreiber's cohesive modalities (♯,♭,ʃ) and Riley's linear modality (♮) for quantum-classical bridging.
npx skills add majiayu000/claude-skill-registry --skill lhott-cohesive-linear --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# LHoTT Cohesive Linear Skill Synthesizes Urs Schreiber's cohesive ∞-topos framework with Mitchell Riley's linear HoTT for interaction entropy formalization. ## Modal Operators | Modality | Symbol | Action | Interaction Use | |----------|--------|--------|-----------------| | Sharp | ♯ | Discretize | Extract trit from color | | Flat | ♭ | Embed continuously | Full LCH embedding | | Shape | ʃ | Quotient by homotopy | Walk trajectory class | | Linear | ♮ | Self-adjoint tangent | One-use interaction | ## GF(3) Triad Placement This skill is **ERGODIC (0)**, forming triads with: ``` persistent-homology (-1) ⊗ lhott-cohesive-linear (0) ⊗ topos-generate (+1) = 0 ✓ sheaf-cohomology (-1) ⊗ lhott-cohesive-linear (0) ⊗ gay-mcp (+1) = 0 ✓ three-match (-1) ⊗ lhott-cohesive-linear (0) ⊗ rubato-composer (+1) = 0 ✓ ``` ## Core Types (Pseudo-HoTT) ```hott -- Cohesive interaction type CohesiveInteraction : Type content : String hash : ♯ SHA256 -- discrete seed : ♭ UInt64 -- continuous embedding color : ♮ LCH -- linear (used once) position : ʃ (ℤ × ℤ) -- shape-invariant -- Linear function (no copy/delete) walk_step : CohesiveInteraction ⊸ Position × Color -- Bunched triplet (entangled context) Γ₁ ⊗ Γ
- Modal Operators
- GF(3) Triad Placement
- Core Types (Pseudo-HoTT)
- Diagram Generation
- Mermaid Templates
- Ruby Integration
- Julia Integration
- Hy/DiscoHy Integration
- Diagram Export Commands
- Key Theorems
- References
Generate Mermaid diagram from interactions just lhott-diagram mermaid Generate base64 PNG from Mermaid just lhott-diagram png > diagram.base64 Export to DisCoPy SVG just lhott-discopy-svg Full pipeline: interactions → ACSet → DisCoPy → Mermaid just lhott-full-export
What does the lhott-cohesive-linear skill do?
Cohesive Linear HoTT patterns for interaction entropy with diagram generation. Implements Schreiber's cohesive modalities (♯,♭,ʃ) and Riley's linear modality (♮) for quantum-classical bridging.
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill lhott-cohesive-linear --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.