u/KaleidoscopeRound666

We propose a general framework for quantum mechanics based on the principle that quantum behavior emerges whenever a force dominates the system and the characteristic action is comparable to the system-dependent "quantum of action ." By defining an effective Planck constant ℏ eff based on the dominant force and system scale, we develop a universal formulation of quantized orbits and energy levels. Applying this framework to gravity, we recover discrete gravitational orbits, quantized black hole horizon areas, and Hawking-like radiation, providing a conceptual explanation for why quantum gravitational effects are negligible at microscopic scales but emerge in strongly gravitating systems.

https://doi.org/10.13140/RG.2.2.30214.23362

There exists an invariant submanifold of the three-dimensional incompressible Navier–Stokes equations in which nonlinear advection acts only as a phase-transport operator rather than a generator of spectral cascade.

https://doi.org/10.13140/RG.2.2.32368.01283