Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.
Abstract
In arXiv:2508.08747, Guth and Vilenkin show that the quantum creation of a toroidal universe "from nothing" cannot be described within semiclassical gravity: it is either impossible or requires Planckian physics. We propose a reading of this negative result: a toroidal vacuum cannot be created "from nothing" because compact topology carries its own vacuum energy (Casimir contribution, Zeldovich & Starobinsky, 1984). A space with topology is a space with memory. We argue that this supports a model in which the universe emerges not from nothing but from a state of a hysteresis-like medium (Preisach-type), as developed in notes 1–6 [DOI]. The refusal of the semiclassical method is then not an objection to toroidal topology, but evidence that "creation from nothing" and "topology" are mutually exclusive categories. A falsifier is proposed: if the scenario is wrong, no phase-boundary signatures should correlate between CMB large-scale anomalies and late-time expansion data.
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BibTeX
@misc{borodin2026guth,
title = {{Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.}},
author = {Oleg Borodin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23675786},
url = {https://zenodo.org/records/23675786},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.
AU - Oleg Borodin
PY - 2026
DA - 2026/10/26
PB - Zenodo
DO - 10.5281/zenodo.23675786
UR - https://zenodo.org/records/23675786
AB - In arXiv:2508.08747, Guth and Vilenkin show that the quantum creation of a toroidal universe "from nothing" cannot be described within semiclassical gravity: it is either impossible or requires Planckian physics. We propose a reading of this negative result: a toroidal vacuum cannot be created "from nothing" because compact topology carries its own vacuum energy (Casimir contribution, Zeldovich & Starobinsky, 1984). A space with topology is a space with memory. We argue that this supports a model in which the universe emerges not from nothing but from a state of a hysteresis-like medium (Preisach-type), as developed in notes 1–6 [DOI]. The refusal of the semiclassical method is then not an objection to toroidal topology, but evidence that "creation from nothing" and "topology" are mutually exclusive categories. A falsifier is proposed: if the scenario is wrong, no phase-boundary signatures should correlate between CMB large-scale anomalies and late-time expansion data.
ER -