Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical nonlocality in quantum time via modular operators   We formalize the concept of the modular energy operator within the Page and
Wootters timeless framework. As a result, this operator is elevated to the same
status as the more studied modular operators of position and momentum. In
analogy with dynamical nonlocality in space associated with the modular
momentum, we introduce and analyze the nonlocality in time associated with the
modular energy operator. Some applications of our formalization are provided
through illustrative examples.

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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an