Equity & Profit — metric reference
Every number in the collapsible stats panel is recomputed continuously while your pipeline moves. Account metrics come from the Trading Console ledger; topological metrics are pure-math diagnostics derived from your currency node, Shape Forge chain, and Strategy Matrix.
Equity
Cash balance plus mark-to-market value of all open positions. This is the headline survival number.
Session P&L
Realized P&L from closed trades plus unrealized P&L on open tickets.
Win Rate
wins ÷ closed trades. Hit rate alone does not define edge — pair with profit factor and average payoff.
Max Drawdown
Largest peak-to-trough percentage decline on the equity curve built from closed-trade updates.
Sharpe (proxy)
Mean per-trade return divided by standard deviation of those returns. Live panel uses a lightweight proxy without annualisation.
Profit Factor
gross wins ÷ gross losses on closed trades.
Manifold Score
Bounded tanh score from forge depth and active strategy count — how richly your pipeline occupies the statistical manifold.
β₁ Loops
Proxy for persistent 1-dimensional homology — non-trivial loops in the constraint graph formed by your pair and strategies.
Functor Coherence
Quality of categorical composition across Shape Forge nodes (path → cloud → manifold ordering bonus).
Signal Entropy
Shannon entropy of uniform strategy votes. Low = consensus; high = strategies disagree.
Kelly Fraction
f* = p − (1−p)/R capped at 25%. Sizing hint from win rate p and payoff ratio R.
Deflated Sharpe
Sharpe minus a penalty for multiple strategy trials — guards against selection bias (Bailey–López de Prado sketch).
Tesseract Resonance
How strongly your selected pair aligns with the rotating 4D currency web vertex field.
Holonomy Stress
Gauge-theory proxy: circulation of price deviation around a quote loop (parallel transport failure).
Geodesic Drift
Instantaneous velocity of equity along the natural gradient on the performance manifold.
Pipeline Vitality
Composite health: currency + forge + strategies present. 100% when Algorithm Panel shows VALID.