The concept of negative dimensions can be somewhat abstract and differs depending on the context in which it is used. Let's explore two interpretations related to spatial dimensions and superstring theory:
Negative Spatial Dimensions: In certain mathematical and theoretical physics discussions, negative spatial dimensions can be used as a mathematical tool or a way to explore hypothetical scenarios. In this context, negative dimensions are not considered as physical dimensions, but rather as an abstract mathematical construct. They serve as a useful tool for certain calculations and investigations. Negative spatial dimensions can be thought of as an extension of our usual positive spatial dimensions, but they do not have a direct physical interpretation.
Negative Dimensions in Superstring Theory: In the realm of superstring theory, which is a theoretical framework aiming to unify quantum mechanics and gravity, the term "negative dimensions" can have a different connotation. Superstring theory suggests that our universe may exist in more than the familiar four dimensions (three spatial dimensions and one time dimension) we are accustomed to. However, in some formulations of superstring theory, the mathematical consistency of the theory requires the inclusion of extra dimensions, some of which may have negative values.
These negative dimensions are not spatial dimensions in the conventional sense, but rather represent certain mathematical properties within the theory. They are referred to as "compactified dimensions" or "internal dimensions." These compact dimensions are curled up and hidden from our everyday perception at energies and scales that we currently cannot access experimentally. The negative values associated with these dimensions indicate their mathematical properties rather than a physical interpretation.
It's important to note that superstring theory is a highly complex and still actively researched area of theoretical physics. The concept of negative dimensions within the framework of superstring theory is a mathematical tool used to describe certain properties of the theory, but it does not correspond to our intuitive understanding of spatial dimensions in the physical world.