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Terms starting with P

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P-type Semiconductor Condensed Matter & Materials Physics cm⁻³ (Hole Concentration) An extrinsic semiconductor in which trivalent acceptor impurities create an excess concentration of positive holes as majority charge carriers. p ≈ N_A ≫ n, n p = n_i² Paleoclimatology Geophysics & Environmental Physics Geologic Climate History The scientific study of Earth's past climate conditions across geologic history using indirect environmental proxy records. Climate Proxies: Ice Cores, Tree Rings, Coral δ¹⁸O, Speleothems Paleomagnetism Geophysics & Environmental Physics Degrees (° Declination / Inclination) The study of the historical record and orientation of Earth's magnetic field preserved in iron-bearing minerals in rocks, sediments, or archaeological artifacts. Remanent Magnetization Vector (Declination & Inclination) Parallel Axis Theorem Classical Mechanics kg·m² A theorem stating that the moment of inertia about any axis parallel to a centroidal axis equals the centroidal moment of inertia plus mass times squared offset distance. I = I_cm + M d² Parallel Circuit Electromagnetism & Electronics Ω (Ohms) An electrical circuit topology in which components are connected across common voltage nodes, offering multiple parallel paths for current. 1 / R_total = (1/R₁) + (1/R₂) + (1/R₃), V_total = V₁ = V₂ = V₃ Parallel Computing Mathematical & Computational Physics Speedup Factor S(P) A computational architecture where large physical calculations are divided into smaller sub-tasks executed simultaneously across multiple processor cores or GPUs. Amdahl's Law Speedup S(P) = 1 / ((1 - p) + p / P) Paramagnetism Electromagnetism & Electronics Dimensionless (χ_m > 0) A weak form of magnetism in which materials with unpaired electrons are weakly attracted into an external magnetic field. χ_m = C / T (Curie's Law) Paraxial Approximation Optics rad (radians) A small-angle approximation in geometric optics assuming light rays make small angles $θ$ with the optical axis. sin θ ≈ θ, tan θ ≈ θ, cos θ ≈ 1 Parity Violation Nuclear & Particle Physics Symmetry Violation The discovery that the weak nuclear force distinguishes between left-handed and right-handed spatial orientations, violating spatial mirror symmetry (P-parity). P |Ψ(x, y, z)⟩ = - |Ψ(-x, -y, -z)⟩ (Violated in weak decays) Parsec Astrophysics, Cosmology & Relativity Parsecs (pc, kpc, Mpc) An astronomical unit of distance equal to the distance at which a star exhibits a trigonometric parallax angle of exactly one arcsecond (1″). 1 pc = 1 AU / tan(1″) ≈ 3.2616 ly ≈ 3.0857 × 10¹⁶ m Partial Differential Equations Mathematical & Computational Physics Multivariable Differential Equations Differential equations containing unknown multivariable functions and their partial derivatives with respect to multiple independent variables. Elliptic (Laplace), Parabolic (Heat), Hyperbolic (Wave) Particle in a Box Quantum & Atomic Physics eV or Joules A elementary quantum model describing a particle trapped inside a 1D rigid box with impenetrable potential barriers (infinite potential well). E_n = (n² π² ℏ²) / (2 m L²), ψ_n(x) = √(2/L) sin(n π x / L) Partition Function Thermodynamics & Statistical Physics Dimensionless The central mathematical function in statistical mechanics that encodes statistical properties of a system in thermodynamic equilibrium. Z = ∑ exp(-E_i / (kB T)) = ∑ g_i exp(-E_i / (kB T)) Pascal's Principle Classical Mechanics Pa The principle stating that pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and container walls. ΔP = F1 / A1 = F2 / A2 Paschen Series Quantum & Atomic Physics Infrared Wavelengths (nm) The spectral series of hydrogen atom emission lines produced by electron transitions dropping from upper energy states to the n=3 level. 1 / λ = R_H (1 / 3² - 1 / n_i²), n_i = 4, 5, 6... Patch Clamp Technique Biophysics & Medical Physics pA (Picoamperes) & GΩ (Gigaohm Resistance) An electrophysiological laboratory technique used to record ion currents flowing through single individual ion channel proteins in cell membranes. I_single_channel ~ 1–10 pA (Gigaohm Seal Measurement) Pauli Exclusion Principle Quantum & Atomic Physics Dimensionless Quantum Law A fundamental quantum law stating that two identical fermions cannot occupy the exact same quantum state simultaneously. No two identical fermions can occupy the same quantum state: ψ(1,2) = -ψ(2,1) Peltier Effect Condensed Matter & Materials Physics W (Cooling / Heating Rate) The absorption or emission of heat at the junction of two dissimilar electrical conductors when an electric current flows across it. Q_rate = Π_AB I = (S_A - S_B) T I Percentage Uncertainty Foundations of Physics % The absolute uncertainty of a measurement divided by the measured value, expressed as a percentage. Percentage Uncertainty = (Δx / x) × 100% Period Classical Mechanics s The time duration required to complete one full cycle of a recurring motion or oscillation. T = 1 / f = 2π / ω = 2π √(m/k) Perpendicular Axis Theorem Classical Mechanics kg·m² A theorem stating that for a thin planar lamina, the moment of inertia about an axis perpendicular to the plane equals the sum of moments of inertia about two perpendicular axes in the plane. Iz = Ix + Iy Perturbation Theory Mathematical & Computational Physics Approximation Power Series A set of mathematical approximation methods for finding an approximate solution to a complex problem by starting from the exact solution of a simpler unperturbed problem. H = H₀ + λ H', E_n = E_n^(0) + λ E_n^(1) + λ² E_n^(2) + ... Phase Waves, Oscillations & Acoustics rad (radians) The fractional position of a point within a wave cycle, expressed as an angle relative to a reference origin. Φ(x,t) = k x - ω t + φ0 Phase Difference Waves, Oscillations & Acoustics rad (radians) The angular difference between corresponding points on two waves or between different points on a single wave. Δφ = (2π / λ) Δx = (2π / T) Δt