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Electromagnetism & Electronics

Gauss's Law for Electricity

Maxwell's first equation stating that the net electric flux through any closed Gaussian surface equals the total enclosed charge divided by…

Φ_E = ∮ E · dA = Q_enclosed / ε₀, ∇ · E = ρ / ε₀ N·m²/C (or V·m)
Electromagnetism & Electronics

Gauss's Law for Magnetism

Maxwell's second equation stating that the total magnetic flux passing through any closed surface is always identically zero.

Φ_B = ∮ B · dA = 0, ∇ · B = 0 Wb (Webers)
Thermodynamics & Statistical Physics

Gay-Lussac's Law

An ideal gas law stating that gas pressure is directly proportional to absolute thermodynamic temperature at constant volume.

P1 / T1 = P2 / T2 (at constant V) Pa/K
Nuclear & Particle Physics

Geiger-Müller Counter

A gas-filled radiation detection instrument that measures ionizing radiation by detecting current pulses produced by Townsend avalanches in…

Townsend Avalanche ionization in high electric fields Counts per Minute (CPM) or μSv/h
Astrophysics, Cosmology & Relativity

General Relativity

Albert Einstein's 1915 geometric theory of gravitation describing gravity not as an attractive force, but as the curvature of 4D spacetime…

G_μν + Λ g_μν = (8 π G / c⁴) T_μν Geometric Field Theory
Mathematical & Computational Physics

Genetic Algorithms

A search heuristic optimization method inspired by natural biological evolution that iteratively evolves candidate solutions toward optimal…

Evolutionary Operators: Selection, Crossover, Mutation Stochastic Heuristic Optimization
Astrophysics, Cosmology & Relativity

Geodesic

The path of shortest (or extreme) spacetime interval between two points in curved spacetime, representing the free-fall trajectory of…

(d²x^μ / dτ²) + Γ^μ_αβ (dx^α / dτ) (dx^β / dτ) = 0 Spacetime Path Trajectory
Geophysics & Environmental Physics

Geoid

The hypothetical shape of Earth's surface defined by an equipotential surface of Earth's gravity field matching mean ocean sea level in the…

Equipotential Surface V_gravity = Constant Meters (Geoid Undulation Height)
Geophysics & Environmental Physics

Geomagnetic Reversal

A major planetary event during which Earth's magnetic field undergoes a complete polarity flip, swapping magnetic North and South poles.

Reversal Interval ~ 200,000 to 300,000 years Geologic Time Interval
Geophysics & Environmental Physics

Geomagnetic Storm

A major temporary disturbance of Earth's magnetosphere caused by solar wind shockwaves or Coronal Mass Ejections (CMEs).

Dst Index < -50 nT (Distortion of Equatorial Ring Current) nT (Nanoteslas, Dst / Kp Index)
Geophysics & Environmental Physics

Geomagnetism

The scientific study of Earth's magnetic field, its internal origin in the liquid outer core, spatial variations, and temporal fluctuations.

B_geo = ∇ × A (Geodynamo Induction: ∂B/∂t = ∇ × (v × B) + η ∇²B) μT (Microteslas, ~30–60 μT at surface)
Geophysics & Environmental Physics

Geostrophic Wind

A theoretical atmospheric wind resulting from a exact balance between the horizontal Pressure Gradient Force and the Coriolis acceleration…

v_g = (1 / (2 ρ Ω sin φ)) (dP / dn) = (1 / f ρ) ∇P m/s (Wind Velocity)
Geophysics & Environmental Physics

Geothermal Gradient

The rate at which Earth's interior temperature increases with increasing depth below the surface.

q = -k (dT / dz) (Heat Flux = Conductivity × Gradient) °C/km or K/km
Condensed Matter & Materials Physics

Giant Magnetoresistance (GMR)

A quantum spintronic phenomenon where electrical resistance drops dramatically when adjacent ferromagnetic layers align magnetically…

GMR = (R_AP - R_P) / R_P × 100% % (Resistance Change Ratio)
Thermodynamics & Statistical Physics

Gibbs Free Energy

A thermodynamic potential measuring maximum reversible work obtainable from a system at constant temperature and pressure.

G = H - T S, ΔG = ΔH - T ΔS J
Geophysics & Environmental Physics

Glaciology

The scientific study of glaciers, ice sheets, snow, and all natural ice phenomena in the cryosphere.

Glen's Flow Law: ε̇ = A τ^n (Non-linear ice creep) m/year (Glacier Flow Velocity)
Nuclear & Particle Physics

Gluons

Massless elementary gauge bosons that mediate the strong nuclear force between quarks in quantum chromodynamics (QCD).

Spin = 1, Mass = 0, 8 Color-Anticolor Combinations Gauge Boson Class
Biophysics & Medical Physics

Goldman-Hodgkin-Katz Equation

An equation calculating resting membrane potential considering relative membrane permeabilities (P_Na, P_K, P_Cl) and concentrations of…

V_m = (R T / F) ln((P_Na[Na]_out + P_K[K]_out + P_Cl[Cl]_in) / (P_Na[Na]_in + P_K[K]_in + P_Cl[Cl]_out)) mV (Membrane Potential)
Optics

Graded-index Fiber

An optical fiber whose core refractive index decreases continuously from the central axis outward toward the cladding.

n(r) = n0 √(1 - 2 Δ (r/a)^g) N/A
Mathematical & Computational Physics

Gradient

A vector operator that points in the direction of the greatest rate of increase of a scalar field, with magnitude equal to that maximum…

∇f = (∂f/∂x) î + (∂f/∂y) ĵ + (∂f/∂z) k̂ [Scalar Field Unit] / m
Mathematical & Computational Physics

Gradient Descent

An iterative first-order optimization algorithm for finding local minima of a differentiable scalar objective function by taking steps…

x_(k+1) = x_k - α ∇f(x_k) Iterative Optimization Method
Thermodynamics & Statistical Physics

Graham's Law of Effusion

The law stating that rate of effusion or diffusion of a gas is inversely proportional to square root of its molar mass.

Rate1 / Rate2 = √(M2 / M1) mol/s or m³/s
Condensed Matter & Materials Physics

Graphene

A single two-dimensional layer of carbon atoms bound in a hexagonal honeycomb crystal lattice.

E(k) = ± ℏ v_F |k| (Dirac Cone Dispersion) v_F ≈ 10⁶ m/s (Fermi Velocity)
Geophysics & Environmental Physics

Gravimetry

The precise measurement of spatial and temporal variations in Earth's gravitational acceleration field.

g_observed = g_theoretical + Δg_FreeAir - Δg_Bouguer + Δg_Terrain mGal (Milligals = 10⁻⁵ m/s²)