Horizon — Prospective Forecast Console

Horizon — unmarked forecast console

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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.

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HORIZON · prediction

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OPEN LIVE

Open Horizon · Mini AI Labs portal

Public run remains E2 synthetic.

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VISUAL SYSTEM · MINI AI LABS

Caption stripped. Near-black laboratory, cyan live, bronze Λ-ghost, mint lock. No type on stills.

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HORIZON · invariant forecast

HORIZON · live prediction lab

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ENGAGE HORIZON

Launch Horizon — Prospective Forecast Console

The City’s prospective invariant-event instrument. Governing question: What invariant is about to exist?

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System role

Horizon is the Prediction member of the eight-lab public Octet and the forecast stage of the executable conductor. The City intentionally preserves two different orders:

Interface/question cycle: SPECTRA → Fold → Murmuration → Mnemosyne → Density → Horizon → Wave → Identity → SPECTRA.
Executable dependency order: SPECTRA → Fold → Density → Murmuration → Horizon → Mnemosyne → Wave → Identity → SPECTRA_REVEAL → SCORE. Canonical contract: Octet Experiment Packet — Cross-Lab Transport and Verification Contract.

Station	Horizon role
🔬 SPECTRA	Locks the finite spectral kernel and admissible invariant sector.
🧬 Fold	Challenges the forecast under rigid motion and relabeling.
🐦 Murmuration	Supplies the time-dependent point-cloud / Vietoris–Rips trajectory and Betti state.
🌀 Density	Provides an incomplete-view reconstruction channel. Measurement only.
🧠 Mnemosyne	Commits forecast tuples cryptographically and preserves reveal / correction lineage.
🛰️ Horizon	Forecasts the next invariant event.
🌊 Wave	Evolves or perturbs the carrier only after the Horizon output is bound by Mnemosyne.
🪞 Identity	Evaluates persistence across the Wave transformation before independent reveal measurement and score.

Forecast grammar

From history frames $X_{t-1},X_t$, Horizon forms a local extrapolation and searches the predicted Rips trajectory for the first change in first homology:

$$ \widehat X(t+\tau)=X_t+\tau(X_t-X_{t-1}), $$

$$ \widehat\tau=\inf\{\tau>0:\beta_1(\mathcal R_\epsilon(\widehat X(t+\tau)))\neq\beta_1(\mathcal R_\epsilon(X_t))\}. $$

The sealed forecast packet is

$$ \mathcal F_t=(\widehat\tau,\widehat{\Delta\beta_1},\widehat{\mathrm{event}},\mathrm{SHA256}). $$