Spectral Energy Distribution of a Body in Hydrostatic Equilibrium

Authors: Golden Gadzirayi Nyambuya

The Spectral Energy Distribution (SED) measurements of Sunlight indicate that the Sun's SED is approximately that of a black body at a temperature of about 5777K. This fact has been known for quite some time now. What is surprising is that this fact has not been interpreted correctly to mean that the Sun's temperature is constant throughout its profile i.e. the temperature of the core right up to the Surface must be the same i.e. if Tsun(r) the temperature of the Sun at any radial point r, then Tsun(r)=5777K. From the fundamental principles of statistical thermodynamics, a blackbody is a body whose constituents are all at a constant temperature and such a body will exhibit a Planckian SED. For a body that has a nearly blackbody SED like the Sun (and the stars), this means the constituents of this body must, at a reasonable degree of approximation, be at the same temperature i.e. its temperature must be constant throughout. If the Sun is approximately a blackbody as experience indicates, then, the Standard Solar Model (SSM) can not be a correct description of physical and natural reality for the one simple reason, that the Solar core must be at same temperature as the Solar surface. Simple, the Sun is not hot enough to ignite thermonuclear fission at its nimbus. If this is the case, then how does the Sun (and the stars) generate its luminosity. A suggestion to this problem is made in a future reading that is at an advanced stage of preparation; therein, it is proposed that the Sun is in a state of thermodynamic equilibrium -- i.e., in a state of uniform temperature and further a proposal (hypothesis or conjecture) is set-forth that the Sun may very well be powered by the 104.17 micro-Hz gravitational oscillations first detected by Brookes el al. (1976), Severny et al. (1976). Herein, we verily prove that the SED of a body in hydrostatic equilibrium can not, in general be Planckian in nature, thus ruling out the SSM in its current constitution. Only in the case were the density index is \alpha_{\varrho}=2 (which implies a zero temperature index i.e. \alpha_{T}=0$), will the SED of such a body be Planckian.

Comments: 10 Pages. A follow up paper in on the way.

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[v1] 2012-01-26 04:55:39

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