HEPLean/PhysLean
Jan 2026 – Jan 2026
1 Month active
Languages Used
Lean
Technical Skills
formal methodsformal verificationmathematical formalizationmathematical modelingmathematical proofmathematics
kastch
PROFILE
Kastch
Nikita Kastcheev developed formal proofs and mathematical models in the HEPLean/PhysLean repository, focusing on classical mechanics and tensor algebra. He formalized the uniqueness of harmonic oscillator trajectories, ensuring that initial conditions yield a single solution to the equations of motion. Using Lean and leveraging skills in formal verification and theorem proving, he expanded the tensor and Lorentz tensor frameworks with rigorous definitions, lemmas, and transformations between color, real, and complex representations. By systematically replacing informal placeholders with complete formal proofs, Nikita enhanced the reliability and mathematical rigor of the codebase, laying a robust foundation for future physics modeling and verification.
Overall Statistics
Feature vs Bugs
100%Features
Repository Contributions
6Total
Bugs
0
Commits
6
Features
2
Lines of code
368
Activity Months1
Your Network
27 people
Work History
January 2026
6 Commits • 2 Features
Jan 1, 2026January 2026 (HEPLean/PhysLean): Formal proofs and mathematical rigor advanced in classical mechanics and tensor algebra. Implemented a Harmonic Oscillator Trajectory Uniqueness Proof, formalizing that, given initial conditions, the trajectory is the unique solution to the equations of motion in the classical oscillator model. Expanded tensor/Lorentz tensor formalism with robust definitions, lemmas, and transformations (color-to-complex, real/complex representations), and introduced the isTotalTimeDerivativeVelocity lemma in Lagrangian mechanics to enhance mathematical rigor. Addressed and removed placeholders ('sorry') across core proofs, replacing informal work with formal results, thereby improving correctness guarantees and reliability. This work lays a stronger foundation for future extensions in physics modeling and verification, and demonstrates proficiency in formal methods and mathematical rigor across mechanics and tensor algebra.
6 Commits • 2 Features
Jan 1, 2026January 2026 (HEPLean/PhysLean): Formal proofs and mathematical rigor advanced in classical mechanics and tensor algebra. Implemented a Harmonic Oscillator Trajectory Uniqueness Proof, formalizing that, given initial conditions, the trajectory is the unique solution to the equations of motion in the classical oscillator model. Expanded tensor/Lorentz tensor formalism with robust definitions, lemmas, and transformations (color-to-complex, real/complex representations), and introduced the isTotalTimeDerivativeVelocity lemma in Lagrangian mechanics to enhance mathematical rigor. Addressed and removed placeholders ('sorry') across core proofs, replacing informal work with formal results, thereby improving correctness guarantees and reliability. This work lays a stronger foundation for future extensions in physics modeling and verification, and demonstrates proficiency in formal methods and mathematical rigor across mechanics and tensor algebra.
January 2026
Activity
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Quality Metrics
Correctness80.0%
Maintainability83.4%
Architecture83.4%
Performance76.6%
AI Usage26.6%
Skills & Technologies
Programming Languages
Lean
Technical Skills
formal methodsformal verificationmathematical formalizationmathematical modelingmathematical proofmathematicsproof developmenttensor calculustheorem provingtype theory
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