Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noisy Machines   The abstract notion of a Universal Turing machine cannot exist as a physical
subsystem without the introduction of noise from an external energy source.
Like all other physical systems, physical Turing machines must convert energy
sourced from an external environment into useful work, thus subjecting them to
the laws of thermodynamics. Consequently, asymptotic mathematical theorems
including those derived by Godel and Turing do not bear any consequence on
physical world because they can never be truly realised in physical systems.
Rather these theorems highlight the seemingly unbridgeable chasm between
Platonic forms (mathematics) and objects (physics).

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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math