Are the Barriers that Inhibit Mathematical Models of a Cyclic Universe, which Admits Broken Symmetries, Dark Energy, and an Expanding Multiverse, Illusory?

Download Edit this record How to cite View on PhilPapers
Abstract
We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the absence of an extraneous, evidence-based, proof of `closure' which determines the behaviour of the physical process in the limit as corresponding to a `Cauchy' limit; (b) the physical process must tend to a discontinuity (singularity) which has not been reflected in the Cauchy sequence that seeks to describe the behaviour of the physical process. We support our thesis by mathematical models of the putative behaviours of (i) a virus cluster; (ii) an elastic string; and (iii) a Universe that recycles from Big Bang to Ultimate Implosion, in which parity and local time reversal violation, and the existence of `dark energy' in a multiverse, need not violate Einstein's equations and quantum theory. We suggest that the barriers to modelling such processes in a mathematical language that seeks unambiguous communication are illusory; they merely reflect an attempt to ask of the language chosen for such representation more than it is designed to deliver.
Categories
PhilPapers/Archive ID
ANAATB
Upload history
Archival date: 2018-06-25
View other versions
Added to PP index
2018-06-25

Total views
75 ( #40,014 of 53,526 )

Recent downloads (6 months)
14 ( #38,065 of 53,526 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.