InvariFold — unmarked contraction helix

<aside> ◼

VISUAL SYSTEM · MINI AI LABS

Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills. Record: CITY-LABS-VISUAL-SYSTEM-20260915.

</aside>

InvariFold · contraction cinema

<aside> ▶

OPEN LIVE INSTRUMENT

InvariFold is the protein cinema of lab 02 FOLD. The live Grok cinema is the Σ→Γ→Λ→Ψ→Ω bench. Fold remains the Levinthal state-space host.

Open Fold · lab 02 · Fold — Invariance Lab

</aside>

InvariFold · contraction cinema

InvariFold · contraction cinema

Brand card

Research mandate

InvariFold is a deterministic sequence-to-geometry instrument.

$$ \Sigma \rightarrow \Gamma \rightarrow \Lambda \rightarrow \Psi \rightarrow \Omega $$

• ΣΓ — Kyte–Doolittle hydrophobicity and Chou–Fasman / preset secondary structure compile a residue-graph affinity $A$. Laplacian $L=D-A$.
• Γ — Kartekeya contraction $\Gamma=I-\varepsilon L^2$ with kernel projector $P_k$ onto the lowest $k=\mathrm{round}(n\cdot 47/125)$ modes. Γ lock replaces $A$ with $P_k A P_k$.
• Λ — LowModes_3($L$) scaled to peptide contour $(n-1)\times 3.8$ Å, grafted onto helix / sheet geometry, SHAKE-relaxed. A spectral basin, not a learned structure.
• Ψ — Deterministic Cα torsion plus noiseless Cartesian polish that only accepts energy descent. Cinema $n\le 80$.
• Ω — Dual gate on energy change and gradient. Packet stamp MC-OCTET-PACKET-1.0.

Fold tests representation invariance of a projector. InvariFold builds a chain and contracts it onto a sequence-derived basin. They are not the same instrument.

What to run

1. Load Trp-cage NLYIQWLKDGGPSSGRPPPS. Compile Λ ghost.
2. Alanine scan — mutate every non-Ala, rank $|\Delta F_{47}|$, apply a hotspot. Spectral response, not a folding $\Delta\Delta G$.
3. Select a residue. Force H / E / C (keys 1 / 2 / 3). Λ rebuilds.
4. Pin a contact on the affinity map or from the inspector.