What if black hole entropy shapes the whole universe's evolution?

By linking exotic black hole entropy proposals (Barrow, Tsallis, quantum-gravity corrections) to scalar-tensor gravity via the Misner-Sharp mass, this work translates abstract information-theoretic ideas into concrete scalar field potentials. Barrow entropy gives a steep exponential; Tsallis entropy gives one tuned by a nonextensivity parameter; quantum corrections produce a nearly linear potential. Each drives different cosmological behavior — inflation, dark energy, or a bouncing universe — and the framework survives current solar-system and pulsar-timing tests while remaining testable by next-generation surveys.