Simulations

Interactive COSMIC Framework visualizations and simulations for exploration and publication.

COSMIC Framework

Professional Scientific Visualizations

1. Mathematical Constant Evolution Across WMAP Frequencies

Figure 1: π Evolution and Critical Frequency Detection
Statistical detection of π evolution across WMAP frequency bands (23-94 GHz) showing systematic progression from -0.68σ to +0.21σ with correlation r=0.91. The 61 GHz critical frequency marks the zero-crossing point.

2. Mathematical Constant Field Interactions

Figure 2A: Mathematical Constant Resonance Patterns
Frequency-dependent behavior of mathematical constants showing φ resonance peak at 61 GHz critical frequency.
Figure 2B: Inter-Constant Coupling Matrix
Coupling strength matrix between mathematical constants showing strongest interactions between φ and √5.

3. Pattern-Emergent Gravity Field Visualization

Figure 3: Information Pattern Density and Gravitational Effects
3D visualization of information pattern density P(x,t) and resulting gravitational field modifications according to PEG theory: g_μν = η_μν + α∇_μ∇_νP(x,t)

4. TransPlanck Dynamics Scale Modification

Figure 4: Dynamic Planck Scale vs. Mathematical Field Strength
Effective Planck length modification by mathematical constant fields enabling sub-Planck information processing. Red line shows traditional Planck limit; blue surface shows field-enhanced accessibility.

5. Adaptive Quantization Evolution

Figure 5A: Cosmic Quantization Timeline
Evolution from continuous to discrete optimization showing 61 GHz phase transition.
Figure 5B: Energy Level Optimization
Quantum energy levels as optimization solutions with adaptive spacing based on efficiency.

6. Dual-Process Energy Dynamics

Figure 6: E = mc² vs. E = Ic² Energy Contributions
Comparison of classical mass-energy conversion (Einstein) vs. information-energy conversion (COSMIC) showing opposing entropy dynamics and net energy efficiency optimization.

7. Cosmic Scale Information Processing

Figure 7: Universe-Brain Network Topology
Network analysis of cosmic web structure (100M-1B light-year scales) showing brain-like topology with mathematical constant signatures in filament curvatures and node distributions.
Total Framework Equation:
Φ_universe(x,t,f,λ,T) = Φ₀(x) + ∫∫∫∫ K(T,f,λ) ρ_math(x,τ,f,λ) dτ df dλ dT

Key Visualization Features:

  • Interactive 3D plots showing mathematical field dynamics
  • Statistical correlation analysis with error bars and confidence intervals
  • Multi-scale representations from quantum to cosmic scales
  • Real-time parameter adjustment for theoretical exploration
  • Professional color schemes optimized for scientific publication