Mathematical Integration of Seven Physical Domains Utilizing Zero-Jerk Kinematics
Abstract
Traditional macro-scale phase transitions suffer from massive entropic loss via friction, heat, and sound scattering. This framework establishes a unified zero-state matrix, proving that by equating parasitic boundary resistances to exactly zero, 100% of kinetic energy survives across seven fundamental physical domains. By mathematically nullifying these boundary conditions—utilizing zero-jerk continuous-curvature splines, infinite Navier slip bounds, and frequency-selective anisotropic clamping—the framework establishes a completely lossless, macroscopically reversible thermodynamic and mechanical cycle entirely decoupled from any specific physical geometry. Please, download PDF to mitigate any coding issues on OSF. Direct Inquiries To: Douglas J. Chapman Principal & Architect, The Sovereign Grant Foundation thesovereigngrantfoundation@gmail.com
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Thermoelastic and Magnetoelastic Phenomena
Contact Mechanics and Variational Inequalities
Publication details
- Publication date
- 28 July 2026
- Document type
- Preprint