The question of whether space is infinite or has a limit in terms of its smallness is still an open topic of scientific inquiry. Our current understanding, based on both theoretical considerations and observational evidence, suggests that space is infinitely divisible and does not have a fundamental lower limit in terms of size.
At the macroscopic scale, we can perceive space as seemingly continuous and infinitely extendable. However, when we examine matter at smaller scales, such as atoms and subatomic particles, we encounter the realm of quantum mechanics. In quantum mechanics, particles and fields are described by wave functions that exhibit wave-particle duality. This means that the position and momentum of particles can only be described in terms of probabilities rather than precise values.
According to the principles of quantum mechanics, there is a concept called the "Planck length" denoted by ℓP, which represents the scale at which classical notions of space and time are expected to break down. The Planck length is about 1.6 x 10^-35 meters, an incredibly small scale that is far beyond our current experimental capabilities to probe directly.
At scales smaller than the Planck length, it is believed that our current understanding of spacetime and the laws of physics, including quantum mechanics and general relativity, may need to be reconciled or modified. This is an active area of research in theoretical physics, where scientists are exploring various approaches, such as string theory and loop quantum gravity, to better understand the nature of spacetime at the smallest scales.
While our current knowledge suggests that space is infinitely divisible, it is important to note that our understanding is based on the best theories and observations available to us today. As scientific exploration progresses, our understanding may evolve, and new insights could emerge regarding the fundamental nature of space at the smallest scales.