Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Universe from a Single Particle II   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.

33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph