Advances in Theoretical & Computational Physics, 2025 Over the last several centuries, science has discovered objects in the world along a continuum of scale.…

Numeric Representation and the Boundary of Pure and Applied Mathematics Abstract: Being so basic to mathematics, numeric representational systems touch many areas of the…

MATH 4.0 REQUIRES A RE-BOOT OF SCIENCE Scientists from both the theoretical and experimental sides of science have, apparently, overlooked the importance of numerical…

Abstract: Assumptions about what is a theory and what is a mathematical model are considered related to the question “How can mindless mathematical laws…

My essay entry to the FQXi 2015 Essay Contest “Trick or Truth: the Mysterious Connection Between Physics and Mathematics”:  Can Mathematics Reasonably Represent Nature?

If scale is a physical continuum, then shouldn’t there be situations we must use a cross-scale approach?  What sorts of problems might require such…

We do consider scale as part of our reality.  We even consider it to be a continuum of reality, if not part of our…

To understand how basic this concept of scale is, consider specifying a point in space.  We need a reference system for this, traditionally thought…

The size, or scale, of objects in our world is a commonplace part of our universe.  We experience objects smaller than ourselves, like a…