#physic #compound-knowledge #fundamental Created at 111123 # [Anonymous feedback](https://www.admonymous.co/louis030195) # [[Epistemic status]] #shower-thought Last modified date: 111123 Commit: 0 # Related - [[Fundamental laws of computation]] - [[Fundamental laws of biology]] - [[Theory of evolution]] - [[Theory of knowledge]] # Fundamental laws of physics | Branch of Physics | Equation | Description | |-------------------|----------|-------------| | Mechanics | $ F = ma $ | Newton's Second Law: Force equals mass times acceleration | | Mechanics | $ v = u + at $ | Equation of motion: Final velocity equals initial velocity plus acceleration times time | | Mechanics | $ s = ut + \frac{1}{2}at^2 $ | Equation of motion: Displacement equals initial velocity times time plus half of acceleration times square of time | | Mechanics | $ F = G\frac{m_1m_2}{r^2} $ | Newton's Law of Universal Gravitation | | Electromagnetism | $ F = q(E + v \times B) $ | Lorentz Force: Force on a charge due to electric and magnetic fields | | Electromagnetism | $ \nabla \cdot E = \frac{\rho}{\epsilon_0} $ | Gauss's Law for Electricity | | Electromagnetism | $ \nabla \cdot B = 0 $ | Gauss's Law for Magnetism | | Electromagnetism | $ \nabla \times E = -\frac{\partial B}{\partial t} $ | Faraday's Law of Induction | | Electromagnetism | $ \nabla \times B = \mu_0(J + \epsilon_0 \frac{\partial E}{\partial t}) $ | Ampère's Law with Maxwell's addition | | Thermodynamics | $ \Delta U = Q - W $ | First Law of Thermodynamics: Change in internal energy equals heat added to the system minus work done by the system | | Thermodynamics | $ \eta = 1 - \frac{T_{cold}}{T_{hot}} $ | Efficiency of a heat engine | | Quantum Physics | $ E = hf $ | Planck-Einstein relation: Energy of a photon equals Planck's constant times frequency | | Quantum Physics | $ \psi(x,t) $ | Schrödinger Equation: Describes how the quantum state of a physical system changes over time | | Quantum Physics | $ \Delta x \Delta p \geq \frac{\hbar}{2} $ | Heisenberg Uncertainty Principle: Limits the precision with which certain pairs of physical properties can be known simultaneously | | Relativity | $ E = mc^2 $ | Einstein's Mass-Energy Equivalence: Energy equals mass times the speed of light squared |