What crucial physical link concerning Cepheid variables was discovered by Henrietta Swan Leavitt?

Answer

The longer a Cepheid's pulsation period, the greater its intrinsic luminosity

Henrietta Swan Leavitt established the critical period-luminosity relationship for Cepheid variable stars. This discovery provided the necessary bridge between observation and cosmological measurement. By measuring how long it took for a Cepheid to cycle between its brightest and dimmest phases (its pulsation period), astronomers could determine its absolute, true brightness, regardless of its distance, which is essential for using it as a standard candle.

What crucial physical link concerning Cepheid variables was discovered by Henrietta Swan Leavitt?
Hubblegalaxiesastronomyredshiftdistance measurement