Skip to content

Sigma-21 Math — 21st Century Mathematics

Working Name

  • Sigma-21.math (σ₂₁)
  • '21st-century math'
  • 'We're gonna call it something crazy'
  • The new mathematical framework emerging from RTSG

What It Contains

  • Intelligence vector algebra (12-dimensional, Will-scaled)
  • Hypervisor game theory (topological fitness, fractal dimensions)
  • Cross-dimensional edge calculus (product rules, compound interest)
  • Percolation theory applied to cognition (threshold at 7/12)
  • Graph-theoretic models of trauma and healing
  • Topological data analysis of intelligence profiles
  • Fractal dimensional analysis of cognitive shapes
  • Continuous optimization over non-Euclidean intelligence spaces

What Makes It New

  • Classical game theory: discrete agents, discrete strategies, payoff matrices
  • Sigma-21 game theory: continuous agents (subsystems), continuous strategies (topological deformations), fitness landscapes (geometric/topological)
  • Classical intelligence measurement: single scalar (IQ)
  • Sigma-21 intelligence measurement: 12-dimensional vector + Will scalar + edge graph + dynamic hypervisor state
  • Classical math: operates on numbers and algebraic structures
  • Sigma-21 math: operates on shapes, topologies, and living graphs

The Crazy Math We'll Be Able to Do

  • Compare intelligence profiles as SHAPES (not numbers)
  • Compute topological invariants of cognitive architectures
  • Predict hypervisor transitions (which subsystem activates when)
  • Optimize dimensional activation protocols using variational calculus
  • Model trauma as topological holes and healing as hole-filling
  • Game-theoretic models of social intelligence (multi-agent hypervisor competition)
  • Fractal analysis of learning curves
  • Continuous deformation of intelligence profiles (how graphs change over time)