The unifying field theory of the GenesisAeon stack.
Derives the full Lagrangian from S∝A/S∝V duality, applies medium-modulation, detects cosmic-moment collapse events and exports to entropy-table.
pip install fieldtheory
# with full GenesisAeon stack integration:
pip install "fieldtheory[stack]"# Run the unified field simulation
ft simulate --steps 100
# Show the symbolic Euler-Lagrange equation
ft lagrangian
# Override field parameters
ft simulate --s-a 1.0 --s-v 1.618 --depth 0.5 --threshold 0.618from fieldtheory.core import simulate_field, derive_lagrangian, modulated_entropy
# Numerical simulation
result = simulate_field(steps=200, threshold=0.618)
print(result["S_mod_mean"]) # mean modulated entropy
print(result["cosmic_moments"]) # number of collapse events
# Symbolic Lagrangian + Euler-Lagrange equation
eqs = derive_lagrangian()
print(eqs["lagrangian"]) # S_A*S_V/(S_A + S_V) - (delta + 1)/t**2
print(eqs["euler_lagrange"]) # d/dt(∂L/∂Ṡ) - ∂L/∂S = 0
# Entropy-table export
from fieldtheory.entropy_table_bridge import FieldtheoryBridge
bridge = FieldtheoryBridge()
bridge.add_relation("S_mod_mean", result["S_mod_mean"])
bridge.export("domains.yaml")fieldtheory/
├── core.py # Unified Lagrangian, EL derivation, simulation
├── cli.py # ft simulate / ft lagrangian / ft version
└── entropy_table_bridge.py # Export to entropy-table (optional stack dep)
The Lagrangian encodes the S∝A/S∝V duality:
L = S_A·S_V / (S_A + S_V) − (1 + δ) / t²
^^^^^^^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^^^^^^^^
harmonic duality balance collapse potential
When medium-modulation, cosmic-moment, and entropy-governance are installed (pip install "fieldtheory[stack]"), their implementations are used transparently. Without them the package falls back to internal implementations — all tests pass either way.
DOI: 10.5281/zenodo.19025145
PyPI: pip install fieldtheory (oder pip install "fieldtheory[stack]" für den vollen GenesisAeon-Stack)