The Lawrence Equation: A Deterministic Generalization of Quantum Evolution

The Lawrence Equation introduces a deterministic extension of quantum mechanics that unifies unitary evolution with entropy-producing collapse. Developed independently by M.L. Smith, this framework introduces two novel parameters:

• alpha (α): a complex-phase deformation of the unitary operator

• gamma (γ): a localized decoherence term that models entropy growth and wavefunction collapse

This release includes:

• A full scientific manuscript detailing the theory, simulation framework, and key results

• A formal declaration of discovery and authorship

• A visual outreach summary for expert engagement

• Core simulation figures (observable divergence, entropy growth, collapse surface)

• A composite figure panel for visual summary

Results confirm that the Lawrence Equation:

• Produces measurable observable differences under unitary conditions

• Models thermodynamic collapse via a predictive surface τ(γ, α)

• Reconciles entropy, irreversibility, and determinism in quantum systems(AWS Braket Notebook)

This release is timestamped and publicly available for validation, citation, and peer review.

This work developed through human insight and exploration, with the assistance of advanced AI tools, the equation was validated through original simulations demonstrating entropy growth, reversibility thresholds, and collapse behavior under controlled conditions. This release contains the full manuscript, key figures, and documentation for public timestamping, citation, and further scientific review.

Author: M.L. Smith – Independent Researcher

Contact: Saint513@icloud.com

License: Creative Commons Attribution 4.0 (CC BY 4.0)