Yes, space and time are interconnected and form a fundamental framework known as spacetime. This concept was proposed by Albert Einstein in his theory of general relativity. According to this theory, spacetime is a unified entity where space and time are not separate and independent entities but rather intertwined.
In Einstein's theory, matter and energy are related through the famous equation E=mc², which shows the equivalence between mass (matter) and energy. Similarly, spacetime unifies the three dimensions of space with the dimension of time.
Spacetime is not a fixed and static stage on which events occur but rather a dynamic and flexible fabric that can be influenced by the presence of mass and energy. Matter and energy can curve spacetime, creating what we perceive as gravity. This curvature affects the motion of objects, including the paths of light rays.
The relationship between space and time is also evident in the phenomenon of time dilation. As an object moves faster or experiences stronger gravitational fields, time for that object slows down relative to an observer in a different frame of reference. This effect has been experimentally confirmed and is a consequence of the interplay between space and time.
So, similar to the relationship between matter and energy, space and time are intimately connected in the framework of spacetime, as described by Einstein's theory of general relativity.