The principle of constancy of the speed of light states that light in vacuum travels at a fixed speed independent of the source or observer.Light is a true sprinter of the Universe, always running at the same speed. No matter whether you are chasing a flashlight beam or rushing towards it, its speed will remain unchanged for you — about 300,000 km/s. This is unlike the everyday world: if you walk on a moving escalator, your speed adds to the speed of the steps. With light, this trick doesn't work! It is this strange property that leads to time dilation and length contraction in relativity.
The first indications of the constancy of the speed of light came from Maxwell's equations (1861), from which c = 1/√(μ₀ε₀) was calculated. Attempts to detect the ether wind through the Michelson–Morley experiment (1887) yielded a null result. Hendrik Lorentz and Henri Poincaré developed the preparatory mathematical apparatus, but it was Albert Einstein in 1905 who elevated the constancy of c to a fundamental postulate, discarding the ether and building the theory of relativity.
The principle underlies all modern high-energy physics and astrophysics. It is necessary for the correct operation of particle accelerators, satellite navigation systems, and understanding the evolution of the Universe. Limits of applicability: special relativity does not account for gravity, so in strong fields (near black holes or at extreme densities) general relativity is required, where the speed of light is locally constant, but its global behavior is more complex.
Imagine a light bulb turning on in the center of a carriage flying at near-light speed. A passenger inside will see the light reach the front and back walls simultaneously. For an observer on the station, the light will first catch up with the back wall, which is moving towards it, and only then the front wall. To both, it will seem that the light traveled at the same speed! It's just that time flows differently in different frames — such wonders.
| c_s | variable | speed of sound — speed of sound metre per second |
| P | variable | pressure — pressure pascal |
| ε | variable | energy density — energy density joule per cubic metre |
| d/dε | operator | derivative with respect to energy density — derivative |
| c_coord | variable | Coordinate speed of light — speed metre per second |
| c | variable | Speed of light in vacuum — speed of light metre per second |
| g_tt | variable | Time-time component of metric tensor — metric tensor component |
| g_rr | variable | Radial-radial component of metric tensor — metric tensor component |
| √ | operator | Square root operation — square root operator |
| c_s | variable | Speed of sound in the medium — speed of sound metre per second |
| K | variable | Bulk modulus (stiffness) of the medium — bulk modulus pascal |
| ρ | variable | Mass density of the medium — mass density kilogram per cubic metre |
| √ | operator | Takes the square root of the argument — square root |
| c_s | variable | speed of sound — sound speed metre per second |
| P | variable | pressure — pressure pascal |
| \rho | variable | mass density — mass density kilogram per cubic metre |
| \left(\frac{\partial | operator | partial derivative with respect to density at constant entropy — partial derivative at constant entropy |














