Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimum Length from First Principles   We show that no device or gedanken experiment is capable of measuring a
distance less than the Planck length. By "measuring a distance less than the
Planck length" we mean, technically, resolve the eigenvalues of the position
operator to within that accuracy. The only assumptions in our argument are
causality, the uncertainty principle from quantum mechanics and a dynamical
criteria for gravitational collapse from classical general relativity called
the hoop conjecture. The inability of any gedanken experiment to measure a
sub-Planckian distance suggests the existence of a minimal length.

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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom