Entropy & The Thermodynamic Arrow of Time

Fundamental Physics

How It Works

The Second Law of Thermodynamics dictates that the total statistical entropy of an isolated system always increases toward a maximum at thermodynamic equilibrium. Ludwig Boltzmann related macroscopic entropy directly to the microscopic number of accessible microstates (S = k_B · ln Ω), creating an irreversible thermodynamic arrow of time that distinguishes past from future.

Governing Equation
Δ S_{isolated} ≥ 0 , S = k_B · ln(Ω)