Heisenberg Uncertainty Boundary And Black Hole Boundary As Twin Information Capacity Limits

In a thermodynamic model of Planck-scale bits as the fundamental units of information, the Heisenberg Uncertainty Principle emerges as the condition for a non-zero number of bits to exist at equilibrium. This casts quantum uncertainty as a thermodynamic phenomenon and suggests that bits can only form outside the Heisenberg boundary, with an absence of information capacity accounting for the "uncertainty" within. In a symmetric representation of the model, this same condition transforms into the Schwarzschild formula for black hole radius, laying bare a simple unification of quantum and gravitational information limits via a common thermodynamic foundation. Relating the growth of information capacity to the expansion of the universe yields a prediction for the cosmological constant that closely matches the observed value.