Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Uncertainty Principle for Proper Time and Mass   In [J. Math. Phys. {\bf 40}, 1237 (1999)] Kudaka and Matsumoto derive the
uncertainty relation $c^2 \Delta m \Delta \tau \geq \hbar/2$ between the rest
mass $m$ and the proper time $\tau$, by considering the Lagrangian $M(\dot \tau
- c^{-1} \sqrt{-g_{\mu \nu} \dot x^\mu \dot x^\nu}) + e A_\mu (x) \dot x^\mu$.
In this note we give an alternative derivation based on a special case of the
time-like geodesic equation obtained using the general relativistic Lagrangian
$g_{\mu \nu} \frac{dx^\mu}{d \tau}\frac{dx^\nu}{d \tau}$.

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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th