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Terms starting with T

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Tau Lepton Nuclear & Particle Physics MeV/c² (Mass Energy) The third-generation elementary charged lepton, with a mass approximately 3,477 times heavier than an electron. m_τ ≈ 1776.8 MeV/c², τ_τ ≈ 2.9 × 10⁻¹³ s, Spin = ½ Taylor Series Mathematical & Computational Physics Infinite Polynomial Expansion An infinite polynomial series representation of a smooth function expressed in terms of its higher-order derivatives evaluated at a single point a. f(x) = ∑_(n=0)^(∞) (f^(n)(a) / n!) (x - a)^n Temperature Thermodynamics & Statistical Physics K (°C, °F) A macroscopic scalar measure of the average translational kinetic energy of constituent particles in a physical system. 1 / T = (∂S / ∂U)_V, E_avg = (3/2) kB T Tension Classical Mechanics N The pulling force transmitted axially through a string, rope, cable, or structural member. T = m g + m a Tensor Mathematical & Computational Physics Geometric Multilinear Object A multilinear geometric object describing linear relationships between algebraic vectors, tensors, and scalars independent of coordinate choice. T'^ij = (∂x'^i / ∂x^k) (∂x'^j / ∂x^l) T^kl Terminal Velocity Classical Mechanics m/s The constant maximum speed attained by a falling body when upward aerodynamic drag equals downward gravitational force. v_t = √(2 m g / (ρ A Cd)) Terrestrial Telescope Optics Dimensionless (×) A refracting telescope incorporating an additional erecting lens system between objective and eyepiece to yield an upright image for ground observation. M = f_obj / f_eye, Tube Length L = f_obj + 4 f_erect + f_eye Thermal Conduction Thermodynamics & Statistical Physics W/m² (k in W/(m·K)) The transfer of thermal energy through a stationary medium via microscopic particle collisions and free electron movement without bulk fluid movement. q = -k A (dT/dx) (Fourier's Law) Thermal Convection Thermodynamics & Statistical Physics W (h in W/(m²·K)) The transfer of heat energy between a solid surface and an adjacent moving fluid, driven by bulk fluid motion. q = h A (T_surface - T_fluid) (Newton's Law of Cooling) Thermal Efficiency Thermodynamics & Statistical Physics Dimensionless (%) The dimensionless ratio of net mechanical work produced by a heat engine to total thermal energy input supplied. η = W_net / Q_input = 1 - (Q_out / Q_in) Thermal Radiation Thermodynamics & Statistical Physics W The emission of electromagnetic energy from matter due to thermal agitation of its charged constituent particles. P = ε σ A T⁴ (Stefan-Boltzmann Law) Thermal Stress Thermodynamics & Statistical Physics Pa (N/m²) Mechanical stress developed within a material when thermal expansion or contraction is constrained by rigid boundaries. σ = E α ΔT Thermal vs Non-Thermal Plasmas Plasma Physics Kelvin or eV The classification of plasmas based on thermodynamic equilibrium between electron temperature T_e and heavy ion/gas temperature T_i. Thermal: T_e ≈ T_i ≈ T_gas; Non-Thermal: T_e ≫ T_i ≈ T_gas Thermohaline Circulation Geophysics & Environmental Physics Sv (Sverdrups = 10⁶ m³/s) The global deep-ocean density-driven circulation loop powered by surface variations in seawater temperature (thermo) and salinity (haline). Density ρ = ρ(T, S, P) (Function of Temperature and Salinity) Thin Film Interference Optics m The interference phenomenon occurring when light waves reflected from the top and bottom boundaries of a thin transparent film superimpose. 2 n t cos θ = m λ (Constructive with phase shift) Third Law of Thermodynamics Thermodynamics & Statistical Physics J/K The law stating that as system temperature approaches absolute zero (0 K), entropy of a pure crystalline substance approaches a minimum constant value of zero. lim (T → 0) S = 0 Threshold of Hearing Waves, Oscillations & Acoustics W/m² (0 dB) The minimum sound pressure level or intensity audible to a healthy human ear at 1000 Hz. I0 = 10⁻¹² W/m² (0 dB SPL, P0 = 20 µPa) Threshold of Pain Waves, Oscillations & Acoustics W/m² (120-130 dB) The upper sound intensity limit above which acoustic vibrations cause physical discomfort and immediate structural damage to human ears. I_pain ≈ 1 W/m² (120 - 130 dB SPL) Tidal Friction Geophysics & Environmental Physics ms/century (Length of Day Increase) The gravitational interaction where ocean tidal bulges drag ahead of the Earth-Moon axis, causing frictional dissipation of Earth's rotational energy. dΩ/dt < 0 (Earth rotation slowing by ~2.3 ms/century) Timbre Waves, Oscillations & Acoustics N/A The subjective tone quality or color of a musical sound that distinguishes different instruments playing the same fundamental pitch and loudness. Fourier Spectrum Balance Time Foundations of Physics s A fundamental physical quantity used to sequence events, quantify durations, and measure rates of change in the universe. Δt = t2 - t1 Time of Flight Classical Mechanics s The total duration a projectile spends in the air from launch until returning to its landing elevation. T = (2 v0 sin θ) / g Tissue Viscoelasticity Biophysics & Medical Physics Pa (Modulus) & Pa·s (Viscosity η) The mechanical property of biological tissues exhibiting both elastic solid-like storage and viscous fluid-like energy dissipation under deformation. Maxwell / Kelvin-Voigt Models: σ(t) = E ε(t) + η (dε / dt) Tokamak Plasma Physics Dimensionless Safety Factor q A toroidal magnetic confinement fusion device that utilizes external magnetic coils and an internal driven plasma current to create a helical magnetic field. q = (r B_toroidal) / (R B_poloidal)