For a finite-sized classical electron, energy conservation requires that the Born self-energy U e Born $U_{e}^{\mathit{Born}}$ , due to the electric field which surrounds the electron, be added to the electron’s rest mass energy m e c 2 $m_{e}c^{2}$ . U e Born $U_{e}^{\mathit{Born}}$ , which scales inversely with the electron radius R e $R_{e}$ , is very large and, in fact, would dominate all other energy contributions within the intergalactic medium (IGM). By taking into account the ionization fraction ν e $\nu _{e}$ of atomic hydrogen in the IGM Dark Energy can be quantitatively explained using U e Born $U_{e}^{\mathit{Born}}$ without the necessity of a cosmological constant Λ $\varLambda $ .

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经典有限尺寸电子模型的宇宙学后果

对于有限尺寸的经典电子，能量守恒要求将由于围绕电子的电场而产生的 Born 自能 U e Born $U_{e}^{\mathit{Born}}$ 添加到电子的静止质量能量 mec 2 $m_{e}c^{2}$ . U e Born $U_{e}^{\mathit{Born}}$ 与电子半径 R e $R_{e}$ 成反比，非常大，事实上，它将主导所有其他能量贡献星际介质（IGM）。考虑到 IGM 暗能量中原子氢的电离分数 ν e $\nu _{e}$ 可以使用 U e Born $U_{e}^{\mathit{Born}}$ 进行定量解释，而无需一个宇宙学常数 Λ $\varLambda $ 。