code · XI LIBRARY

xi_field_simulation.py · xi-kernel

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Source / collection credit: rookslackie / GitHub
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Source file: xi_field_simulation.py """ Xi Field Equation Simulation □Ξ = 1 + log Ξ The nonlinear wave equation derived from the Xi action functional: S = ∫_M [ (1/16πG) R + ℒ_SM + λ c(Ξ, ∇Ξ) ] √(-g) d⁴x where c(Ξ, ∇Ξ) = α||∇Ξ||² + β K(Ξ), K(Ξ) = Ξ log Ξ Varying w.r.t. Ξ: □Ξ - ∂K/∂Ξ = 0 □Ξ = 1 + log Ξ (Klein-Gordon-like with logarithmic potential) This is simulated in 2D spatial + 1 temporal dimension using finite differences. Initial condition: …

Source address and shareable entry

https://github.com/rookslackie/xi-kernel/blob/master/xi_field_simulation.py

https://www.xi-field.com/library/entry/de88304e094ceed825979483