Zero Parameter Dual Pathway Derivation of the Cosmological Constant with SymPy

Hi HN, creator here. I've been working on this for [time period] and wanted to share it for verification and feedback.

*What this is*: A mathematical framework that derives the cosmological constant (the value that determines dark energy density) from three postulates, with zero free parameters. Two completely independent derivation pathways both converge to the same value: Ξ_Λ ≈ 2.87 × 10⁻¹²².

*Why it matters*: The "vacuum catastrophe" is the 10¹²² discrepancy between quantum field theory predictions and observed vacuum energy. This framework offers a potential resolution.

*What I'm hoping for*: - Mathematicians/physicists to verify the derivations - Feedback on the SymPy implementation - Identification of any errors or oversights

*Key results*: - Pathway A (Holographic): Ω_Λ = 25/36 ≈ 0.694 - Pathway B (Multiplicative): Ξ_Λ = e^γ · α^57 ≈ 2.87 × 10⁻¹²² - Planck 2018 observed: Ω_Λ = 0.6889 ± 0.0056

The code is fully open source. I'm sharing work that produces interesting results and seeking verification.