History and Philosophy of Physics

   

On the Perception of Scale: Connecting the Scales of Reality & Expanding Our Mathematical Tools

Authors: Donald G. Palmer

Over the last several centuries, science has discovered objects in the world along a continuum of scale. In one direction, we have found planets and stars, galaxies and galaxy clusters. In theother direction we have found cells and proteins, atoms and neutrinos. In order to locate and model this world, we use the 3 traditional directions of length, width and height. Howeverinherent in all our measurements is the scale of what we are measuring — a continuum we do not directly see with our eyes. A key reason we do not understand this direction as part of our worldis that we do not know how to measure along this continuum. We do not understand how to measure along this direction because we lack the mathematical tools to do so. Those toolsrequire a numeric representational system with more power than our traditional decimal or positional based numerals. A system that can provide a single value for complex numbers andhas built into it more operations than addition/subtraction, multiplication/division, and exponentiation/logarithms (from whence the new system gets its additional power).The author presents some opening remarks on what is anticipated to be a much larger discussion, looking at a perspective of reality where objects at all levels of scale exist and interact togetherand considers some implications of utilizing more powerful mathematical tools than we have today.

Comments: 25 Pages. DOI: 10.13140/RG.2.2.27038.69443 License: CC BY-SA 4.0

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[v1] 2023-06-13 14:43:59

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