Published October 18, 2025 | Version v1
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vΩ Law of Informational Compensation — Software Verification (v1.0) - CORNELIUS AURELIUS

Description

This software verification demonstrates the Law of Informational Compensation within the Unified Informational Framework (vΩ) and Omniscientrix Core. Using a dynamic two-channel system (collapse ↔ emit), the δJ functional is evaluated through action, Kullback–Leibler divergence, and awareness proxies. 

Results show δJ_compensation_mean ≈ 0 across six independent parameter sweeps, confirming the predicted informational equilibrium δJ → 0 within experimental tolerance. The accompanying IELS analysis ranks planetary environments by informational Earth-likeness using normalized features (temp, flux, metallicity, radius, gravity). 

This report constitutes the first software-level validation of vΩ informational balance under synthetic conditions. 
Generated and verified in Google Colab using the vΩ Instant Verifier (2025-10-18 UTC).

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