AI Equity Mathematical Engine & Domain Methodology

1. Tech Cycle Gravity Index (G)

Motivation:

Measure market structure strictly against the modern AI infrastructure commercialization epoch.

Logic:

An asset's current deviation from its cycle TWAP or fair-value baseline is measured against its own historical stretch and interpreted relative to the other assets in the basket. Equilibrium sits at 50.

G = [ (Δcurrent - Δmin) / (Δmax - Δmin) ] × 100

2. Composite Sector Risk Score

Motivation:

Pure gravity is noisy. An emerging AI pure-play at Gravity 80 carries higher structural risk than a mature infrastructure anchor at the same reading.

Logic:

Systemic equity risk is scaled by dividing raw gravity by a corporate dominance multiplier. Large anchors stay closer to baseline, while micro-caps receive a bounded risk penalty.

Gravity itself remains an asset-level score; the screener just ranks the basket relative to that score.

Risk = max(G, 10.0) ÷ Dominance

3. Volumetric Impact Sizing (Bubble Mass)

Motivation:

Visually isolate institutional capital rotation into AI compute, software, semiconductor, data-center, and power infrastructure equities.

Logic:

Decoupled from risk equations, physical sizing multiplies current logarithmic volume, absolute 90D equity momentum, and gravity weighting.

Size = log10(Vol30D) × √(|Ret90D| + 1) × Gweight

4. TWAP Gravity Baseline

Motivation:

TWAP captures the time-weighted cost basis created by the market across the full commercialization epoch.

Logic:

Daily closes are averaged through time, then each current premium or discount is normalized against the asset's own historical TWAP stretch range.

TWAPt = (1 / t) Σi=1t Pi

Cross-Sectional Matrix Assignment (Relative Tech Quadrants)

Logic:

Quadrants are strictly relative to the sector median momentum and risk across the tracked basket.

Golden Breakout: Momentum > Sector Median & Risk < Median. Historically undervalued corporate cost basis currently absorbing institutional AI-capex and software-platform flow.

Euphoria (Red): Momentum > Median & Risk > Median. Leading sector expansion, but standard-deviation valuation channels are overextended.

Deep Accumulation: Momentum < Median & Risk < Median. Low statistical risk floor representing prime long-term AI infrastructure accumulation windows.

Value Trap (Purple): Momentum < Median & Risk > Median. Lagging technical velocity coupled with inflated risk premiums.