constant

speed of light

The speed of light in vacuum is a universal constant, approximately 299,792,458 meters per second.
Value
\(c = 299792458\)metre per second
10 related articles · 6 formulas · 2 who worked here

Description

Light travels at an incredible but constant speed — faster than anything we know. Imagine it as the fastest arrow that nothing can outrun. Light from the Moon to Earth takes less time than the blink of an eye!

History

The first estimates of the speed of light were made by Rømer (1676) from the eclipses of Jupiter's moons. In 1849, Fizeau conducted the first terrestrial measurement using a rotating toothed wheel. In 1865, Maxwell derived the speed of light from his equations of electromagnetism. The Michelson-Morley experiment (1887) demonstrated the independence of the speed of light from the motion of the ether, leading to the principle of the constancy of the speed of light. The works of Lorentz and Poincaré paved the way for Einstein's special relativity (1905), where the constancy of the speed of light became a postulate.

How it works

According to special relativity, the speed of light in a vacuum is the same in all inertial frames of reference. This leads to relativistic effects — time dilation and length contraction. Formally, this is described by the Lorentz transformations. In quantum field theory, the speed of light determines the scale of the causal structure of spacetime. In general relativity, locally the speed of light is constant, but globally it can change in a gravitational field (Shapiro effect). The principle of the constancy of the speed of light underlies all modern physics.

Fun fact

If you could travel at the speed of light, you would circle Earth's equator 7 times in one second.

Concept graph →

Formulas

$$c_{\text{coord}} = c \sqrt{-g_{tt}/g_{rr}}$$
Speed of light in curved spacetime coordinates.
What is in the formula
c_coordvariableCoordinate speed of light — speed metre per second
cvariableSpeed of light in vacuum — speed of light metre per second
g_ttvariableTime-time component of metric tensor — metric tensor component
g_rrvariableRadial-radial component of metric tensor — metric tensor component
√operatorSquare root operation — square root operator
c_{{coord}}=c(1-\frac{r_s}{r}) · 2605.09783
$$P \sim e^{-\frac{2\pi M c^2}{\hbar a}}$$
Particle detection probability decays exponentially with mass and acceleration.
What is in the formula
PvariableDetection probability of a particle — probability
MvariableMass of the particle — mass kilogram
avariableProper acceleration of the detector — acceleration metre per second squared
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
ħconstantReduced Planck constant — reduced planck constant = 1.054571817e-34 joule second
$$a_0 = \frac{c^2}{\ell}$$
Characteristic acceleration scale in modified gravity.
What is in the formula
a_0variableCharacteristic acceleration scale — acceleration metre per second squared
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
\ellconstantA characteristic length scale of the modified gravity theory — length scale metre
$$T = \frac{\hbar c^3}{8\pi G M k_B}$$
Black hole temperature is inversely proportional to its mass.
What is in the formula
TvariableHawking temperature of the black hole — temperature kelvin
MvariableMass of the black hole — mass kilogram
\hbarconstantReduced Planck constant, fundamental quantum of action — reduced planck constant = 1.054571817e-34 joule second
cconstantSpeed of light in vacuum, universal speed limit — speed of light = 299792458 metre per second
GconstantNewtonian constant of gravitation, sets strength of gravity — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
k_BconstantBoltzmann constant, relates temperature to energy — boltzmann constant = 1.380649e-23 joule per kelvin
$$E = m c^2$$
Energy equals mass times the speed of light squared.
What is in the formula
EvariableEnergy — energy joule
mvariableMass — mass kilogram
cconstantUniversal constant representing the maximum speed at which information and energy can travel — speed of light = 299792458 metre per second
$$K > (\gamma - 1) m c^2$$
Particle kinetic energy exceeds rest mass energy threshold.
What is in the formula
Kvariablekinetic energy — kinetic energy joule
γvariableLorentz factor — lorentz factor
mvariablerest mass — mass kilogram
cvariablespeed of light — speed of light metre per second
cconstantThe speed of light in vacuum, a fundamental constant of nature. — speed of light = 299792458 metre per second

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