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Unified cosmological simulation framework: quantum mechanics, N-body dynamics, coherence evolution, matter genesis, and holographic analysis

Project description

๐ŸŒŒ Unified Cosmological Simulation Framework

A comprehensive Python library combining quantum mechanics, N-body dynamics, coherence evolution, matter genesis, and holographic analysis.

Python 3.9+ License: MIT


๐Ÿš€ Features

Module Description
quantum Multi-qubit systems, entanglement, emergent laws, observer decoherence
cosmic N-body gravitational simulations, orbital mechanics, presets
coherence Universe coherence evolution, information theory, predictions
genesis Parametric resonance, leptogenesis, quantum particle creation
holographic k-alpha analysis, information capacity, cosmological models
visualization 3D/2D plots, animations, unified plotting API

๐Ÿ“ฆ Installation

# Clone the repository
git clone https://github.com/xtimon/unified-sim.git
cd unified-sim

# Install in development mode
pip install -e .

# Or install with all dependencies
pip install -e ".[all]"

GPU Acceleration (Optional)

# NVIDIA CUDA
pip install -e ".[gpu-cuda]"

# AMD/NVIDIA/Intel (Vulkan)
pip install -e ".[gpu-vulkan]"

# AMD/NVIDIA/Intel (OpenCL)
pip install -e ".[gpu-opencl]"

๐ŸŽฏ Quick Start

Quantum Simulation

from sim.quantum import QuantumFabric, EmergentLaws, HUMAN_OBSERVER

# Create 3-qubit system
qf = QuantumFabric(num_qubits=3)

# Create Bell states via entanglement
qf.apply_entanglement_operator([(0, 1), (1, 2)])
print(f"Entanglement entropy: {qf.get_entanglement_entropy():.4f}")

# Measure a qubit
result = qf.measure(0)
print(f"Measured: |{result}>")

# Emergent physics
particles = EmergentLaws.simulate_particle_creation(vacuum_energy=0.2)
energy = EmergentLaws.landauer_principle(bits_erased=1e6, temperature=300)

N-Body Simulation

from sim.cosmic import NBodySimulator, SystemPresets

# Create Solar System
presets = SystemPresets()
bodies = presets.create_solar_system(include_outer_planets=True)

# Simulate 1 year
sim = NBodySimulator(bodies)
times, states = sim.simulate(t_span=(0, 365.25*24*3600), n_points=2000)

# Analyze
print(f"Total energy: {sim.get_total_energy():.2e} J")
print(f"Center of mass: {sim.get_center_of_mass()}")

Coherence Evolution

from sim.coherence import CoherenceModel
from sim.constants import UNIVERSE_STAGES

model = CoherenceModel()
K, C, Total = model.evolve(N=12, alpha=0.66)

for i, stage in enumerate(UNIVERSE_STAGES):
    print(f"{stage}: K = {K[i]:.4f}")

print(f"Growth: {K[-1]/K[0]:.2f}x")

Matter Genesis

from sim.genesis import MatterGenesisSimulation, LeptogenesisModel

# Leptogenesis
lepto = LeptogenesisModel(M=1e10, CP_violation=1e-6)
result = lepto.solve_leptogenesis()
print(f"Baryon asymmetry: {result['eta_B']:.2e}")

# Full simulation
sim = MatterGenesisSimulation()
history = sim.evolve_universe(total_time=1000)

Holographic Analysis

from sim.holographic import HolographicAnalysis

analysis = HolographicAnalysis()
results = analysis.analyze_all_models()

print(f"Mean k: {results['mean_k']:.6f}")
print(f"k/ฮฑ โ‰ˆ {results['mean_k_over_alpha']:.1f}")  # โ‰ˆ 66

๐Ÿ–ฅ๏ธ Command Line Interface

# Show library info
sim info

# Run quantum simulation
sim quantum --qubits 5 --entangle

# Run N-body simulation
sim cosmic --system solar --days 365

# Run coherence evolution
sim coherence --stages 24 --alpha 0.66

# Generate holographic report
sim holographic --report

๐Ÿ“Š Visualization

from sim.visualization import (
    plot_trajectories_3d,
    plot_coherence_evolution,
    plot_quantum_state,
    animate_simulation
)

# 3D trajectory plot
fig = plot_trajectories_3d(bodies, title="Solar System")

# Coherence bar chart
fig = plot_coherence_evolution(K, stages=UNIVERSE_STAGES)

# Quantum state distribution
fig = plot_quantum_state(qf.get_probability_distribution())

# Animation
anim = animate_simulation(bodies, save_path='orbit.gif')

๐Ÿ“ Project Structure

unified-sim/
โ”œโ”€โ”€ sim/
โ”‚   โ”œโ”€โ”€ __init__.py          # Main API exports
โ”‚   โ”œโ”€โ”€ constants/           # Physical & cosmological constants
โ”‚   โ”‚   โ”œโ”€โ”€ fundamental.py   # ฮฑ, G, c, masses, etc.
โ”‚   โ”‚   โ””โ”€โ”€ cosmological.py  # H0, ฮฉ, A_s, n_s, k, etc.
โ”‚   โ”œโ”€โ”€ core/                # Base classes & utilities
โ”‚   โ”‚   โ”œโ”€โ”€ base.py          # SimulationBase, SimulationResult
โ”‚   โ”‚   โ”œโ”€โ”€ gpu.py           # GPU acceleration
โ”‚   โ”‚   โ””โ”€โ”€ io.py            # Save/load utilities
โ”‚   โ”œโ”€โ”€ quantum/             # Quantum mechanics
โ”‚   โ”‚   โ”œโ”€โ”€ fabric.py        # QuantumFabric (multi-qubit)
โ”‚   โ”‚   โ”œโ”€โ”€ emergence.py     # EmergentLaws
โ”‚   โ”‚   โ””โ”€โ”€ observer.py      # Observer decoherence
โ”‚   โ”œโ”€โ”€ cosmic/              # N-body dynamics
โ”‚   โ”‚   โ”œโ”€โ”€ body.py          # Body class
โ”‚   โ”‚   โ”œโ”€โ”€ nbody.py         # NBodySimulator
โ”‚   โ”‚   โ”œโ”€โ”€ presets.py       # SystemPresets
โ”‚   โ”‚   โ””โ”€โ”€ calculator.py    # CosmicCalculator
โ”‚   โ”œโ”€โ”€ coherence/           # Universe coherence
โ”‚   โ”‚   โ”œโ”€โ”€ models.py        # CoherenceModel, DepositionModel
โ”‚   โ”‚   โ””โ”€โ”€ simulator.py     # UniverseSimulator
โ”‚   โ”œโ”€โ”€ genesis/             # Matter creation
โ”‚   โ”‚   โ”œโ”€โ”€ resonance.py     # ParametricResonance
โ”‚   โ”‚   โ”œโ”€โ”€ leptogenesis.py  # LeptogenesisModel
โ”‚   โ”‚   โ”œโ”€โ”€ quantum_creation.py
โ”‚   โ”‚   โ””โ”€โ”€ simulation.py    # MatterGenesisSimulation
โ”‚   โ”œโ”€โ”€ holographic/         # Holographic analysis
โ”‚   โ”‚   โ”œโ”€โ”€ analysis.py      # HolographicAnalysis
โ”‚   โ”‚   โ””โ”€โ”€ report.py        # UniverseFormulaReport
โ”‚   โ”œโ”€โ”€ visualization/       # Plotting
โ”‚   โ”‚   โ””โ”€โ”€ plots.py         # All visualization functions
โ”‚   โ””โ”€โ”€ cli/                 # Command line interface
โ”‚       โ””โ”€โ”€ main.py
โ”œโ”€โ”€ examples/
โ”‚   โ””โ”€โ”€ quick_start.py
โ”œโ”€โ”€ tests/
โ”œโ”€โ”€ pyproject.toml
โ”œโ”€โ”€ requirements.txt
โ””โ”€โ”€ README.md

๐Ÿ”ฌ Physical Models

Coherence Model

$$K(n) = K_0 + \alpha \cdot \sum_{k=0}^{n-1} \frac{K(k)}{N - k}$$

Holographic Relation

$$k = \pi \cdot \alpha_{fs} \cdot \frac{\ln(1/A_s)}{n_s} \approx 66\alpha$$

Boltzmann Equations (Leptogenesis)

$$\frac{dY_L}{dz} = \epsilon D (Y_N - Y_N^{eq}) - W Y_L$$


๐Ÿ“š Dependencies

  • numpy >= 1.21.0
  • scipy >= 1.7.0
  • matplotlib >= 3.5.0
  • pandas >= 1.3.0

Optional:

  • cupy (CUDA acceleration)
  • vulkpy (Vulkan acceleration)
  • pyopencl (OpenCL acceleration)

๐Ÿค Contributing

Contributions welcome! Please:

  1. Fork the repository
  2. Create a feature branch (git checkout -b feature/amazing)
  3. Commit changes (git commit -m 'Add amazing feature')
  4. Push to branch (git push origin feature/amazing)
  5. Open a Pull Request

๐Ÿ“„ License

MIT License - see LICENSE for details.


๐Ÿ‘ค Author

Timur Isanov


๐Ÿ™ Acknowledgments

This unified framework combines features from:

  • coherence-sim - Coherence evolution models
  • cosmic-sim - N-body simulations
  • oscillators-cosmology - Matter genesis
  • reality-sim - Quantum mechanics
  • holo - Holographic analysis

All based on current cosmological data from Planck 2018, WMAP, and other surveys.


โญ Star this repo if you find it useful!

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