This chapter presents an account of work carried out on metastable atomic hydrogen to measure the polarisation correlation of the two photons produced in the decay process and to test Bell’s inequality and ideas of enhancement. It describes the theory of the two-photon decay will be discussed and an appropriate form of Bell’s inequality. Experiments to test Bell’s inequality usually involve placing a linear polariser and detector diametrically on each side of a source. The measurements of the circular polarisation correlation were not in a form suitable to test Bell’s inequality directly and indicated that the imperfections of the nominally achromatic quarter-wave plates were such as to render unlikely a successful test along these lines. Measurements of the linear and circular polarisation have been carried out and Bell’s inequality put to the test.
Conventional tests of Bell’s inequality rely on entangled photon pairs. Here, we replace entangled pairs with two independent photons of orthogonal polarization, and demonstrate that Bell’s inequality is still violated. Given the inherent local realism of independent photons, this experiment proves that Bell’s inequality cannot falsify the local realism of photons. We thus conjecture that the violation of Bell’s inequality by entangled photon pairs originates from their orthogonal polarizations, rather than the breakdown of local realism. To interpret this unexpected violation with independent photons, we further substitute the two photons with two monochromatic light beams, and calculate the transmittance correlation through polarizers via Malus’s law and Karl Pearson’s correlation formula. We show that this correlation also defies Bell’s inequality. Retracing the derivation of Bell’s inequality reveals its validity is restricted to binary events, which accounts for the observed violation with light beams. Finally, we propose a thought experiment involving gradual attenuation of light intensity down to the single-photon regime, and hypothesize that single-photon transmission through a polarizer does not constitute a binary event. This hypothesis provides a unified interpretation for both our experimental findings and all canonical Bell inequality tests reported to date.