Musings on Prince Wave Physics Wave Function, Thermodynamics, Force, Pressure, and the Euler Oscillator from λp = h

Working notes from a contemplation session on Prince Wave Physics. These are reference derivations, not final results. They record what the Prince equation λp = h and the work equation δE = δFδx produced during a single session of inquiry. Topicsinclude: derivation of the quantum mechanical wave function without Schrodinger’s postulates, proof that the Euler Oscillator is contained within the Prince equation, unification of entropy and heat capacity (S = C = nR = dE/dT ), derivation of theideal gas law as a special case, the exponential relationship between temperature and energy, the vectorial force equation revealing the inverse square law, three-dimensional pressure structure, and the temperature of spacetime at zero point energy. Subject to refinement as the framework develops. For reference in future sessions.