⏰ Three-Dimensional Time Framework

A Mathematical Framework for Fundamental Physics

Based on the work of Gunther Kletetschka (2025)

t₁ - Quantum Scale (Planck time)
t₂ - Interaction Scale
t₃ - Cosmological Scale

🔬 Quantum Dimension (t₁)

Operates at Planck time scale (~10⁻⁴³ s)

Generation 1

Governs fundamental particle interactions and quantum mechanical behavior. Mass ratio: 1.0

⚡ Interaction Dimension (t₂)

Mediates quantum-classical transition

Generation 2

Crucial for particle generations and weak interactions. Mass ratio: 4.5

🌌 Cosmological Dimension (t₃)

Governs large-scale gravitational phenomena

Generation 3

Controls structure evolution and gravitational waves. Mass ratio: 21.0

Temporal Dimension Controls

Rotation & View

Temporal Scales

Visualization

Fundamental Equations

ds² = dt₁² + dt₂² + dt₃² - dx² - dy² - dz²

Six-dimensional spacetime metric (3 time + 3 space)

(∂²/∂t₁² + ∂²/∂t₂² + ∂²/∂t₃²)ψₙ = mₙ²ψₙ

Temporal eigenvalue equation generating particle generations

m₁ : m₂ : m₃ = 1 : 4.5 : 21.0

Predicted mass hierarchy ratios

Particle Mass Predictions

Particle Generation Predicted Mass Measured Mass Agreement
Electron (e) 1 0.511 MeV 0.511 MeV ✓ Exact
Muon (μ) 2 105.66 MeV 105.66 MeV ✓ Exact
Tau (τ) 3 1776.86 MeV 1776.86 MeV ✓ Exact
Top Quark (t) 3 173.21 GeV 173.2 GeV ✓ Match
Neutrino ν₃ 3 0.058 eV TBD ⏳ Testable
Neutrino ν₂ 2 0.0086 eV TBD ⏳ Testable

🔮 Key Predictions

  • New resonances at 2.3 TeV and 4.1 TeV
  • Gravitational wave speed: Δv/c = 1.5×10⁻¹⁵
  • Neutrino mass hierarchy
  • Natural CP violation

🧪 Experimental Tests

  • HL-LHC (2025-2030)
  • DUNE neutrino experiment
  • Advanced LIGO+
  • Euclid space mission

✨ Theoretical Advances

  • Finite quantum gravity
  • Natural generation structure
  • Geometric parity violation
  • GR as limiting case