Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of Planck scale space time fluctuations on Lorentz invariance
  at extreme speeds   The starting point of this work is the axiomatic existence of a smallest
measurable interval, viz. the Planck time $t_P$, set by quantum fluctuations in
the vacuum metric tensor. By the Relativity Principle, the same limit must then
apply to the accuracy of all clocks which register time of events in their own
frames. Further, it implies that the ordinary meaning of distance also ceases
in the same manner beyond a scale l_P = c t_P. We demonstrate that quantum
space-time, if real, may be made manifest by observing very energetic
collisions, defined as interactions which occurred with the center-of-mass
frame $\Sigma'$ (of the participating bodies) moving at a high speed $v$
relative to our laboratory frame $\Sigma$. In such situations, the initial
conditions of the interaction are determined from direct measurements of the
ultra-energetic particles or photons by instruments aboard $\Sigma$: they
gather a raw dataset ${\cal S}$ which are subject to the limiting uncertainties
\~ (t_P, l_P). Yet a meaningful (i.e. experimentally verified) version of the
interaction is one where the interaction is viewed from frame $\Sigma'$. Since
no instruments aboard $\Sigma'$ have taken any data, the way we proceeded is by
a Lorentz transformation of ${\cal S}$ from $\Sigma$ to $\Sigma'$. Beware
however that the resulting ${\cal S'}$ no longer consists of raw data, i.e.
Lorentz distortions of probability distributions render the uncertainties
non-Planckian - in fact, it will be shown that as v -> c they are >> (t_P,
l_P), and are no longer negligible. Examples will given to indicate how a
proper interpretation of the most current high energy cosmic and gamma-ray data
necessitates incorporation of the said effect.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nlin