Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The M-Sigma Relation Derived from Sphere of Influence Arguments   The observed relation between supermassive black hole (SMBH) mass (M) and
bulge stellar velocity dispersion (Sigma) is described by log(M) = alpha +
beta*log(Sigma/200 km/s). As this relation has important implications for
models of galaxy and SMBH formation and evolution, there continues to be great
interest in adding to the M catalog. The "sphere of influence" (r) argument
uses spatial resolution to exclude some M estimates and pre-select additional
galaxies for further SMBH studies. This Letter quantifies the effects of
applying the r argument to a population of galaxies and SMBHs that do not
follow the M-Sigma relation. All galaxies with known values of Sigma, closer
than 100 Mpc, are given a random M and selected when r is spatially resolved.
These random SMBHs produce an M-Sigma relation of alpha=8.3, beta=4.0,
consistent with observed values. Consequently, future proposed M estimates
should not be justified solely on the basis of resolving r. This Letter shows
the observed M-Sigma relation may simply be a result of available spatial
resolution. However, it also implies the observed M-Sigma relation defines an
upper limit. This potentially provides valuable new insight into the processes
of galaxy and SMBH formation and evolution.

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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th