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Precise numerical standard solar models (SSMs) now agree with one another andwith helioseismological observations in the convective and outer radiativezones. Nevertheless these models obscure how luminosity, neutrino productionand g-mode core helioseismology depend on such inputs as opacity and nuclearcross sections. Although the Sun is not homologous, its inner core by itself ischemically evolved and almost homologous, because of its compactness, radiativeenergy transport, and ppI-dominated luminosity production. We applyluminosity-fixed homology transformations to the core to estimate theoreticaluncertainties in the SSM and to obtain a broad class of non-SSMs, parametrizedby central temperature and density and purely radiative energy transport in thecore.Comment: 14 pp., jnl.tex macro, minor corrections; accepted by Astrophysical  Journa

Solar Core Homology, Solar Neutrinos, and Helioseismology