Viglione, Federico (2026) Completing Infinite Successive Additions in Relativistic Structures. [Preprint]

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Abstract

Recently, it has been argued that nothing seems to logically or metaphysically prevent a traversal of the infinite (i.e., the completion of an infinite series of equally long successive additions) starting at some time. In this paper, I support a stronger claim: that physically reasonable models of general relativity (Malament-Hogarth models) provide reason to think such a traversal may be physically possible, at least in what I call a proxy fashion. Moreover, I advance a conjecture based on a speculative yet physically reasonable cosmological model (Conformal Cyclic Cosmology): that it may also be physically possible to traverse the infinite in a non-proxy fashion, i.e., by both starting and finishing at some time.

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Item Type:	Preprint
Creators:	Creators Email ORCID Viglione, Federico federico.viglione@unimi.it 0000-0001-6087-2802
Keywords:	Malament-Hogarth Spacetimes Cyclic Conformal Cosmology Traversal of the Infinite Successive Addition Argument Infinite Past
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Cosmology General Issues > History of Philosophy of Science Specific Sciences > Physics > Relativity Theory
Depositing User:	Dr. Federico Viglione
Date Deposited:	05 Apr 2026 12:26
Last Modified:	05 Apr 2026 12:26
Item ID:	28859
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Cosmology General Issues > History of Philosophy of Science Specific Sciences > Physics > Relativity Theory
Date:	2026
URI:	https://philsci-archive.pitt.edu/id/eprint/28859

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