Multidimensional Alignment & Divergence Model
mathematical divergence modeling of behavioral coherence
Published: 2026-06-20 | Project: Glassmetric | Discipline: Sovereign Architecture & Systems Design
Author: Nicholas Alexander MacAskill — Founder & CTO, Flocano Labs | Canonical: https://www.nicholasmacaskill.com/dossier/systemic-alignment-scoring
Systemic Coherence Math
Traditional analytics evaluate software metrics and human execution in silos. Glassmetric models the human operator as the Biological CPU coupled with autonomous execution machines. The engine calculates an overall alignment index that measures systemic coherence across domains relative to their variance. High execution volume paired with elevated operator nervous system congestion triggers a "Misalignment" penalty, enforcing automated cooldowns on trading fleets.
Scoring Algorithm Implementation
The four core pillars (Nervous System, Quant Fleets, Prediction CLOB, Sovereign Truth) calculate normalized scores scaled to [0, 100]. The overall System Score is weighted toward the Biological CPU:
$System Score = 0.40 · N + 0.20 · Q + 0.20 · P + 0.20 · S$
The Glass Alignment score calculates the standard deviation across these domains, applying an exponential penalty multiplier if divergence spikes:
export function calculateGlassAlignment(
scores: DomainScores
): { score: number; label: string; divergence: number } {
const values = [scores.nervous_system, scores.quant_fleets, scores.prediction_clob, scores.sovereign_truth];
const mean = values.reduce((a, b) => a + b, 0) / values.length;
// Standard Deviation as proxy for "Misalignment"
const variance = values.reduce((a, b) => a + Math.pow(b - mean, 2), 0) / values.length;
const stdDev = Math.sqrt(variance);
// Alignment Penalty: penalize divergence > 15
const penalty = Math.min(1, stdDev / 30);
// Glass Metric = Pure Average * (1 - Penalty)
const glassScore = Math.round(Math.max(0, mean * (1 - penalty * 0.5)));
let label = "CALIBRATING";
if (stdDev < 5) label = "PERFECTLY ALIGNED";
else if (stdDev < 10) label = "HIGH COHERENCE";
else if (stdDev < 15) label = "STABLE";
else if (stdDev < 25) label = "MISALIGNED";
else label = "FRACTURED";
return { score: glassScore, label, divergence: Math.round(stdDev) };
}
