Special Relativity: The speed of light $c = 3\times 10^8\text{ m/s}$ is constant in all inertial reference frames. The relativistic Lorentz factor is $\gamma = \frac{1}{\sqrt{1 - (v/c)^2}}$.
Time Dilation & Length Contraction: Moving clocks run slower ($\Delta t' = \gamma \Delta t_0$) and lengths contract along the direction of motion ($L = L_0 / \gamma$).
Mass-Energy Equivalence: Rest energy is $E_0 = mc^2$; total relativistic energy is $E = \gamma mc^2 = \sqrt{(pc)^2 + (mc^2)^2}$.
Blackbody & Photons: Stefan-Boltzmann Law: $P = \sigma A T^4$. Wien's Displacement Law: $\lambda_{\max} T = 2.898\times 10^{-3}\text{ m}\cdot\text{K}$.
Operating Instructions: Use the sidebar tab switcher to explore Special Relativity, Mass-Energy, Blackbody radiation, Quantum Tunneling, and Gravitational Lensing.