Do string theory’s compactified dimensions have a predicted physical interpretation? Do they for example represent the space/planes/domains in which a string ‘lives’? That is, the local permissible evolution space of a given string?IH
Compactified dimensions are additional dimensions that are theorized to exist beyond the three dimensions of space and one dimension of time that we experience in our everyday lives. These dimensions are believed to be "compact" or curled up in a very small scale, making them undetectable to us.
In string theory, which is a theoretical framework that attempts to explain the fundamental forces and particles of the universe, the existence of compactified dimensions is necessary for the equations to work. It is believed that the strings in string theory can vibrate in these compact dimensions, affecting the behavior of the particles in our observable dimensions.
Currently, there is no experimental evidence for the existence of compactified dimensions. However, some theories, such as Kaluza-Klein theory, suggest that the effects of these dimensions may be observable at very high energies, such as those found in particle accelerators.
The number of compactified dimensions varies depending on the specific theory or model being used. In string theory, there are typically six or seven compactified dimensions, while in other theories there may be more or less.
The concept of compactified dimensions is important in our quest to understand the fundamental nature of the universe. It offers a potential explanation for the unification of the four fundamental forces (gravity, electromagnetism, strong nuclear force, and weak nuclear force) and provides a way to reconcile theories that seem incompatible, such as quantum mechanics and general relativity.