Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.

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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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23675785
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.

Borodin Oleg BORODIN O.A.
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Guth and Vilenkin's rejection as a premise: the toroidal universe is not born out of nothing, because it carries memory.

Borodin Oleg BORODIN O.A.
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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