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Astrophysics, Cosmology & Relativity

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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 Proper Time Astrophysics, Cosmology & Relativity Seconds (Proper Time τ) The physical time interval measured by a clock moving along a specific worldline through spacetime. dτ = dt / γ = √(dt² - dx²/c²) Protostar Astrophysics, Cosmology & Relativity Solar Masses & Years An early evolutionary mass phase of a star formed by the gravitational contraction of an interstellar gas cloud before core hydrogen fusion ignites. t_collapse ~ t_freefall = √(3π / (32 G ρ)) Pulsar Astrophysics, Cosmology & Relativity Milliseconds to Seconds (Rotation Period) A highly magnetized, rapidly rotating neutron star that emits focused beams of electromagnetic radiation from its magnetic poles. P_spin ~ 1.4 ms to 10 s, P_dot = dP / dt