A disturbance that propagates through space or a medium, transferring energy without net transport of matter.

characterized by frequency, wavelength, amplitude, and speed

mechanical waves (sound) require a medium; electromagnetic waves (light) propagate through spacetime

electromagnetic waves: oscillating fields described by electromagnetism and Maxwell's equations

in quantum mechanics, particles exhibit wave behavior — wave-particle duality

wave function encodes probability amplitudes of quantum states

gravitational waves: ripples in spacetime predicted by relativity

interference, diffraction, and resonance are universal wave phenomena

sound, light, and quantum probability all share the wave formalism

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