This paper is an investigation of different aspects of the smallest scales possible and their relationships with larger scale phenomena. The relationships between the abstract and the concrete aspects of perspectives about time and space are considered. The phenomenon of continuity of motion is discussed, and the small-scale philosophical implications of continuity of motion could help to explain the reasoning behind why the speed of light is the way that it is, and why the speed of light squared is a constant. Fractions of a point are proven to an extent to be a useful idea, and a thought experiment that demonstrates speeds of fractions of a point per instant is included in this paper. Possible paradoxes related to singularities are discussed briefly within this paper, too. Absolute, relative, and unpredictable definitions of points and instants are discussed and shown to potentially provide some natural reasoning to observed discrepancies between scientific theories, perceived warping of space-time, and the uncertainty principle. Also, a philosophical interpretation of the term extra dimensions which involves the idea of fractions of a point could be useful for attempts at a unified theory of science and is included in this paper Nature of Smallest Scale Universals The nature of the smallest scales theoretically possible can have large-scale ramifications when the large-scale is considered as the philosophical sum of it parts. When considered cumulatively, the nature of the smallest scales can really add up to some larger scale repercussions. Even in the mystery of how something could exist instead of nothing, something existing at all is made more feasible by the realization that it is only asking the smallest possible amount, or an infinitesimal amount, or a mathematically approximately equal amount for the smallest scales to manifest as a phenomenon. This means that in one light, it’s only asking for a whole lot of approximately nothing for a whole lot of stuff to manifest. That sounds approximately like more reasoning behind how something could exist at all than just not knowing. The nature of the smallest scales has other philosophical insights to offer as well. This paper aims to investigate the philosophical nature of the smallest scales, some of the small and large-scale relationships that are implicated by those philosophies, and some of the different repercussions that are results of the philosophies involved.
Read full abstract