The Hubble diagram for type Ia Supernovae gives the value of the Hubble constant, H as 64±3 km/s Mpc^-1 which, in SI units, is equal to 'hr_e/m_e per unit volume of space' (2.1x10^-18 s^-1). This coincidence could suggest a relationship between H and the electrons in the plasma of intergalactic space that act collectively and oscillate if displaced. The possibility that light from distant galaxies is absorbed and reemitted by the electrons is considered with the electron recoiling on both occasions. A double Mössbauer effect leads to a redshift in the transmitted light. Introduction of the photoabsorption cross section 2r_eλ leads to the relationship H = 2n_ehr_e/m_e giving H = 12 km/s Mpc^-1 when ne has the reported value of n_e ~ 10^-7cm^-3. The small amount of energy transferred to the electron by recoil is radiated as bremstrahlung with a wavelength in the microwave region.