Academic

The formal framework, equations, and published preprints.

Technical Summary

The 9 Laws

EiG Framework: Unified Laws and Principles

Foundational Dynamics (Laws 1–3)

  • Law 1 – Conservation: Total discernibility energy is conserved across phase-shifted realities
  • Law 2 – Gravity: Gravity emerges as a discernibility gradient: g⃗ = −kg∇Q
  • Law 3 – Time/Light: Effective speed of light varies with complexity: ceff = cnorme−γQ/2

Interaction Mechanics (Laws 4–6)

  • Law 4 – Mass/Photons: Mass is the energy cost of maintaining discernibility
  • Law 5 – Nuclear Forces: Strong force as discernibility gradient in nuclear domain
  • Law 6 – Phase-Shift: The veil mediates phase-shifted interactions at ΔEi = 0

Emergence & Resonance (Laws 7–9)

  • Law 7 – Complexity: Sustained complexity gradients drive emergent structure
  • Law 8 – Coherence: Habitability requires bounded discernibility: −⅓ ≤ ΔEi,norm ≤ +⅓
  • Law 9 – Resonance: 400–405 nm photonic resonance maximizes ceff

The complete formal treatment with derivations and validations is available in the preprints below.

EiG Helicoid Geometry

Ionization Energy on a Helicoid Manifold

The periodic table maps onto a helicoid surface with Carbon (Z=6) as the central axis. Elements spiral outward based on their group, with ionization energy encoded as height. This geometry achieves R2 = 0.944 correlation with NIST data using only derived constants.

Derived Constants (No Free Parameters)

  • γ = 2/3: Holographic boundary/bulk ratio (derived from first principles)
  • T = 18: Spinor period from fermion double-cover (720° / 40°)
  • N = Tγ − 1 = 11: Boundary channels minus Period 1 exclusion
  • E0 = 3.0709 eV: Base energy scale (γ × Carbon ionization energy)

Spinor Framework (Noble Gas Stability)

  • T = 18: Noble gases Ar, Kr, Xe sit at spinor nodes (Z = 18, 36, 54)
  • Explanation: T=18 explains WHY these elements are stability peaks
  • Fine structure: 1/α = T² − N(T−1) + N/(T(T−1)) = 137.0359...
  • Significance: 0.376 ppm error, derived from geometric constants alone

Preprints