Finite-Capacity Thermodynamics of Causal Horizons

Key Points

• This work aims to formalize the limits of classical representation in physics due to the finite entropic capacity of causal horizons.
• Introduced a model treating geometric entanglement entropy as a thermodynamic potential.
• Examined causal horizons as finite-capacity information systems.
• Analyzed the breakdown of semiclassical descriptions when entropic capacity is saturated.
• Establishes that local representations can break down without altering underlying unitary dynamics.
• Defines a representational transition where configurations persist but local encoding is impossible.
• Formalizes an intrinsic entropic bound affecting classical representability.