The theory proposed by William Tifft, which suggests that particles can be represented as discrete quantized structures of 3-D time embedded within a general matrix of 3-D time, is not widely accepted or supported by the scientific community. Therefore, it is important to note that Tifft's theory does not represent the mainstream understanding of particle physics or the nature of dimensions.
String Theory, on the other hand, is a well-established theoretical framework that attempts to describe the fundamental structure of the universe. According to String Theory, particles are not considered as point-like objects but rather as vibrating strings of energy. One of the key aspects of String Theory is the existence of extra dimensions beyond the three spatial dimensions we commonly experience.
In String Theory, these extra dimensions are not interpreted as spatial dimensions in the conventional sense. Instead, they are compactified and curled up at extremely tiny scales, making them unobservable in our everyday macroscopic world. The interpretation of these extra dimensions is based on mathematical formalism and their role in resolving certain theoretical problems and unifying fundamental forces.
While Tifft's theory may propose an alternative perspective, it has not gained widespread recognition or empirical support. String Theory, despite its complexities and challenges, remains a leading candidate for a theory of quantum gravity and a potential framework for unifying all fundamental forces, including gravity, within a consistent description.