Blue and white forms dissolving into an abstract composition
Photo by Norbert Kowalczyk on Unsplash

The tGiX™ Algorithm

Quantifying Cognitive Transfer and Human Potential at the Edge of Reality

Author: Krishna Soni
Venue: Zenodo (Preprint)
Date: May 2026

Abstract

The formal specification of tGiX™ (Telemetry-based Gamified Interaction Index): a non-intrusive, platform-agnostic framework that intercepts high-frequency interaction telemetry and translates it into citable cognitive performance metrics. It defines eight cognitive vectors, resolves them into a single composite score called the Altered Quotient, and specifies the ingestion architecture behind it.

Core Contribution

Turns raw play into a measurable, defensible index of how a person thinks.

Overview

The formal specification of tGiX™ (Telemetry-based Gamified Interaction Index): a non-intrusive, platform-agnostic framework that intercepts high-frequency interaction telemetry and translates it into citable cognitive performance metrics.

Technical Architecture

  • The Altered Quotient (0.00 to 100.00): Eight weighted vectors resolving into a single unified composite score measuring cognitive energy and effort rather than simple win/loss outcomes.
  • Mathematical Governors: Integrates a logistic growth multiplier, logarithmic streak progression, linear streak decay, and Fibonacci progression spacing.
  • The Equalizer: A non-linear stabilising function ensuring single exceptional sessions cannot artificially inflate index reliability.
  • Dual-Tier Ingestion: Intercepts static inputs (sessions, articles, XP, streaks) alongside dynamic playback diagnostics (decision velocity, focus ratios, completion duration).
  • Metacognitive Layer: Introduces Codename TGX-1, a fine-tuned small language model acting as an automated metacognitive interpreter over interaction telemetry.