## The Local-Nonlocal Dichotomy Is but a Relative and Local View Point

**Authors:** Elemér E Rosinger

As argued earlier elsewhere, what is the Geometric Straight Line, or
in short, the GSL, we shall never know, and instead, we can only deal
with various mathematical models of it. The so called standard model,
given by the usual linearly ordered field R of real numbers is
essentially based on the ancient Egyptian assumption of the Archimedean
Axiom which has no known reasons to be assumed in modern physics.
Setting aside this axiom, a variety of linearly ordered fields F_{U}
becomes available for the mathematical modelling of the GSL. These
fields, which are larger than R, have a rich self-similar structure due
to the presence of infinitely small and infinitely large numbers. One
of the consequences is the obvious relative and local nature of the
long ongoing local versus nonlocal dichotomy which still keeps having
foundational implications in quantum mechanics.

**Comments:** 20 pages.

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### Submission history

[v1] 4 May 2011

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