An alien spaceship, passing through our solar system, observes us by reflected sunlight from earth’s surface. We know the escape velocity from earth’s surface is vesc = √(2GME/RE). Suppose we can (magically) compress earth radius to a very small size RS so that the escape velocity equals the speed of light c. In that case, nothing, not even light, can escape earth’s gravity and the alien spaceship will observe us as a “dark black hole”! What would be the value of RS? (RS is called the Schwarzschild radius.)

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.