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====Review==== The characteristic mass, length, and time scales that are associated with a self-gravitating, degenerate-electron gas are identified [[SSC/Structure/WhiteDwarfs#Chandrasekhar_mass|in an accompanying Wiki page]] in the context of our discussion of the structure of spherically symmetric white dwarfs and the Chandrasekhar mass. All three of these scales depend on the characteristic Fermi pressure, {{Math/C_FermiPressure}}, and characteristic Fermi density, {{Math/C_FermiDensity}}, that are familiar to the condensed-matter community. As recorded in our [[Appendix/VariablesTemplates|accompanying variables appendix]], the definition of these two ''condensed-matter relevant'' quantities is, respectively, <div align="center"> <math> A_\mathrm{F} \equiv \frac{\pi m_e^4 c^5}{3 h^3} = 6.00233\times 10^{22}~\mathrm{erg}~\mathrm{cm}^{-3}, </math> </div> and, <div align="center"> <math> \frac{B_\mathrm{F}}{\mu_e} \equiv \frac{8\pi m_p}{3} \biggl( \frac{m_e c}{h} \biggr)^3 = 9.81019\times 10^{5}~\mathrm{g}~\mathrm{cm}^{-3}; </math> </div> and the characteristic, ''astrophysically relevant'' mass <math>(M_\mathrm{Ch})</math> and length <math>(\ell_\mathrm{Ch})</math> scales [[SSC/Structure/WhiteDwarfs#Chandrasekhar_mass|identified by Chandrasekhar]] are, <div align="center"> <math> \mu_e^2 M_\mathrm{Ch} = 4\pi m_3 \biggl(\frac{2 A_\mathrm{F}}{\pi G}\biggr)^{3/2} \frac{\mu_e^2}{B_\mathrm{F}^2} = 1.14169\times 10^{34}~\mathrm{g}, </math> </div> and, <div align="center"> <math> \mu_e \ell_\mathrm{Ch} \equiv \biggl( \frac{2 A_\mathrm{F}}{\pi G} \biggr)^{1/2} \frac{\mu_e}{B_\mathrm{F}} = 7.71311\times 10^8~\mathrm{cm} , </math> </div> where the dimensionless coefficient <math>m_3 = 2.01824</math>. We could just as well define a characteristic dynamical timescale associated with white dwarfs as, <div align="center"> <math>\mu_e^{1/2} t_\mathrm{Ch} \equiv \biggl[\frac{\mu_e}{GB_\mathrm{F}} \biggr]^{1/2} = \biggl[ \frac{3h^3}{8\pi G m_p m_e^3 c^3} \biggr]^{1/2} = 3.90812~\mathrm{s}</math> . </div>
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