This paper shows a backwards-in-time solution to Bell’s Theorem. This solution assumes that antiparticles actually do travel backwards in time and therefore the experiment begins not at the usual source of particle pairs but at (say) Alice’s measurement of a positron and ends at Bob’s measurement of the electron. A second assumption is that the distribution of hidden variables in a polarised beam can be inferred using Malus Law. Once that is assumed, the simple calculations used in Malus Law complete the proof. If Alice measures the positrons then the electrons travelling to Bob are polarised either along Alice’s vector a or along –a. So Bob’s apparatus is acting like a Malus filter taking a polarised beam as input. However, although this arrangement satisfies the result of a Bell experiment having a correlation between Alice’s and Bob’s measurements of -cos θ, and uses the local hidden variables of particles, it is impossible to simulate the experiment using individualised local hidden variables. This is because of a disconnect in knowledge about the hidden variable vector of an individual particle after a measurement by a Stern - Gerlach detector apparatus or a filter. The polarisation state, if any, of the incoming beam of positrons is unknown. After measurement by Alice they are polarised along vector a, and after measurement by Bob the electrons are polarised along vector b. But the correlation is between the unknown hidden variables before Alice makes the measurement and the polarised beam measured by Bob. It is impossible to follow an individual hidden vector through these measurements even in a simulation.
austin james fearnley