§ DICTIONARY

THE VOCABULARY

Instruments, concepts, and phenomena — the shared vocabulary of the site.

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PHENOMENON

Poiseuille flow

Steady laminar flow through a cylindrical pipe driven by a pressure drop. Volumetric flow rate Q = πR⁴Δp/(8ηL).

PHENOMENON

precession

The slow conical sweep of a spinning body's axis of rotation when a torque acts perpendicular to its angular momentum.

PHENOMENON

Precession of the equinoxes

The slow 26,000-year conical sweep of Earth's rotation axis, which makes the equinoxes drift through the zodiac.

PHENOMENON

projectile motion

Motion of an object fired into the air under gravity alone; the trajectory is a parabola in vacuum.

PHENOMENON

Quadrupole Radiation

Gravitational waves are radiated by a changing mass quadrupole, because momentum conservation forbids a mass dipole.

PHENOMENON

Radiation pressure

The mechanical pressure an electromagnetic wave exerts on a surface it strikes: I/c for absorbers, 2I/c for perfect reflectors, where I is the intensity in W/m². Discovered in principle by Maxwell (1871), measured by Lebedev (1901).

PHENOMENON

Recombination

The epoch when electrons and nuclei combined into neutral atoms and the universe became transparent.

PHENOMENON

Redshift

The stretching of a wave's wavelength when source and observer move apart.

PHENOMENON

Relativistic beaming

The forward concentration of radiation from a relativistic source into a cone of half-angle ≈ 1/γ, caused by the Lorentz transformation of solid angles. Responsible for pulsar pulsed emission, blazar flux variability, and the lighthouse behaviour of synchrotron sources.

PHENOMENON

Relativistic Doppler effect

The frequency shift of light from a moving source observed in any inertial frame, including the time-dilation factor γ alongside the classical motion contribution. For a source receding at radial velocity v: f' = f √((1 − β)/(1 + β)). Reduces to the classical Doppler formula plus a γ correction.

PHENOMENON

resonance

Amplitude peak when driving frequency matches natural frequency.

PHENOMENON

Rutherford scattering

The elastic Coulomb scattering of a charged particle off a fixed point charge, following the hyperbolic trajectory of inverse-square central-force motion. Differential cross-section dσ/dΩ ∝ 1/sin⁴(θ/2). Full treatment in a later branch.

PHENOMENON

Shapiro delay

The extra round-trip travel time a light or radio signal accrues when it passes through the curved spacetime near a mass.

PHENOMENON

Single-slit diffraction

The intensity pattern I(θ) = I₀ sinc²(πa sin θ/λ) produced when light of wavelength λ passes through a slit of width a. First minimum at sin θ = λ/a; central maximum carries most of the energy.

PHENOMENON

Sonic boom

The sharp pressure impulse heard when the Mach cone of a supersonic source sweeps past an observer.

PHENOMENON

Synchrotron radiation

The electromagnetic radiation emitted by a relativistic charged particle following a curved trajectory in a magnetic field. Power scales as γ⁴ in circular motion; the spectrum is broad with characteristic frequency ω_c ∝ γ³c/R. Basis of synchrotron light sources and pulsar emission.

PHENOMENON

tidal force

The differential gravitational pull across an extended body; stretches along the line to the attractor and compresses perpendicular to it.

PHENOMENON

Total internal reflection (TIR)

The 100% reflection of light at an interface from a denser to a less dense medium when the angle of incidence exceeds the critical angle θ_c = arcsin(n₂/n₁). The basis of optical fibres, binoculars, and retroreflectors.

PHENOMENON

Transverse Doppler effect

The relativistic frequency shift observed when the source's velocity is purely perpendicular to the line of sight at the moment of emission. Reduces to f = f₀/γ — pure time dilation, with no classical Doppler contribution. The cleanest experimental test of time dilation.

PHENOMENON

Turbulence

Fluid motion organised into nested vortices across a vast range of scales. The last unsolved problem of classical physics.

PHENOMENON

Venturi effect

The drop in static pressure observed when a fluid flows through a constricted section of pipe.

PHENOMENON

Young's interference experiment

Thomas Young's 1801 double-slit experiment that demonstrated the wave nature of light by producing interference fringes. Full treatment in §09.7 interference and §09.8 diffraction-and-the-double-slit.