The Universe from a Single Particle II

Abstract

We continue to explore, in the context of a toy model, the hypothesis that the interacting universe we see around us could result from single particle (undergraduate) quantum mechanics via a novel spontaneous symmetry breaking (SSB) acting at the level of probability distributions on Hamiltonians (rather than on states as is familiar from both Ginzburg-Landau superconductivity and the Higgs mechanism). In an earlier paper [7] we saw qubit structure emerge spontaneously on ${\mathbb{C}}^4$ and ${\mathbb{C}}^8$, and in this work we see ${\mathbb{C}}^6$ spontaneously decomposing as ${\mathbb{C}}^2\otimes {\mathbb{C}}^3$ and very curiously ${\mathbb{C}}^5$ (and ${\mathbb{C}}^7$) splitting off one (one or three) directions and then factoring. This evidence provides additional support for the broad hypothesis: Nature will seek out tensor decompositions where none are present. We consider how this finding may form a basis for the origins of interaction and ask if it can be related to established foundational discussions such as string theory.

arXiv commentEdited and published

References in corpus (5)

• The Second Law of Quantum Complexity
• Quantum Complexity and Negative Curvature
• Inflationary Cosmology after Planck 2013
• The Universe from a Single Particle
• Universal optimality of the $E_8$ and Leech lattices and interpolation formulas

Cited by in corpus (2)

• Unveiling Order from Chaos by approximate 2-localization of random matrices
• Quantum mereology and subsystems from the spectrum