A yogi's guru resides in a Karakoram cave, located 1000 km away...

According to the special theory of relativity, no signal or information can travel faster than the speed of light in vacuum.

The maximum speed of information transfer is $c = 3 \times 10^8 \text{ m/s}$.

The distance between the yogi and the guru is $d = 1000 \text{ km} = 10^6 \text{ m}$.

The minimum possible time interval is the time taken by light to travel this distance.

$t = \dfrac{d}{c}$

$t = \dfrac{10^6}{3 \times 10^8} = \dfrac{1}{300} \text{ s}$