The theoretical field or framework that aims to explain the fundamental forces and particles of nature, including the connection between all matter, is called quantum field theory. Within this framework, matter and forces are described by quantum fields, which are mathematical entities that permeate all of space and time.
In terms of space dimensions, our current understanding of the universe suggests that it is described by four dimensions: three spatial dimensions (length, width, and height) and one dimension of time. This framework, known as four-dimensional spacetime, is the foundation of Einstein's theory of general relativity, which describes the gravitational force.
However, some theoretical physicists propose that there may be additional spatial dimensions beyond the ones we currently perceive. These extra dimensions are often postulated in theories such as string theory and brane cosmology. In these theories, the additional dimensions are typically curled up or compactified at extremely small scales, making them effectively undetectable in our everyday experience.
The concept of connecting all matter together can be approached from different perspectives. In the context of quantum field theory, particles and fields interact through the exchange of force-carrying particles known as gauge bosons. The fundamental forces of nature, such as electromagnetism, the weak nuclear force, the strong nuclear force, and gravity, are mediated by these gauge bosons.
In summary, to describe the connection between all matter, we currently rely on quantum field theory within the framework of four-dimensional spacetime. However, exploring the possibility of extra dimensions and their potential role in unifying fundamental forces is an active area of research in theoretical physics.