Since March 2007 I have repeatedly shown—in many different ways—that the strong quantum correlations we observe in Nature are natural consequences of the topological properties of the physical space itself. They have nothing to do with quantum entanglement or non-locality per se. Just as gravitational effects were shown by Einstein to be due to the geometrical properties of spacetime, I have shown that quantum correlations are due to the spinorial properties of spacetime. Once the correct topology of spacetime is taken into account, it is trivial to reproduce the EPR-Bohm correlation in a complete, local, realistic, and deterministic manner. This of course amounts to a decisive refutation of Bell’s so-called “theorem”, which you can find on the next page. A succinct summary of my local model for the EPR-Bohm correlation can be found here. One of the most accurate event-by-event numerical simulations of my local model for the EPR-Bohm correlation can be found here.
If you are familiar with my argument against Bell’s theorem and looking for further consolidations of my disproof, then the page that might interest you is this one: Origins of Quantum Correlations. Or perhaps you are an experimentalist. Then you may find this page interesting: Proposed Macroscopic Test. Finally, there is this page about the Topologies of the 3- and 7-spheres, which might interest you if you are more topologically inclined.
If you are interested in event-by-event simulations of my local model, then you may find them discussed in this paper. At least five explicit, event-by-event, numerical simulations of my local model for the EPR-Bohm correlation have been independently produced by five different authors, with codes written in Java, Python, Mathematica, Excel VB, and “R“. The above 2D-surface version of the simulation of my local model can be found here. I discuss two of these simulations in the appendix of this paper. A compact translation of one of these simulations (from Python to Mathematica) can be found here. Each simulation has given different statistical, geometrical, and topological insights into how my local-realistic framework works, and indeed how Nature herself works. A real-time demonstration of one of the main simulations which runs locally in any web browser can be found here and here. It starts to run immediately on loading and takes a minute or two to calculate 10 million trials.
In addition to these simulations, I have recently won the 10,000 Euros offered by Richard Gill for theoretically producing the 2n angular momentum vectors, and , appearing in the equation (16) of my proposed experiment (see also this page). He had unwittingly claimed that it was mathematically impossible to construct such 2n vectors and had challenged me to produce them as a “proof of concept” for my proposed experiment. I defeated his challenge in May and June of 2014 by explicitly producing the 2n vectors in these four simulations: (1), (2), (3), and (4) (the reason there are four simulations instead of just one is because Gill kept lying and cheating and moving the goalpost each time I, or someone else, defeated his challenge). The correlations in these simulations are calculated as
where n is the number of experiments performed. These results strongly suggest that my proposed experiment will be a spectacular success. It will reproduce the manifestly local-realistic and yet strong correlations exactly as I have predicted in my papers, confirming my hypothesis that physical space we live in respects the geometry and topology of , not .
Here is a quote from John Bell, which may inspire you to explore these pages further:
“Now nobody knows just where the boundary between the classical and quantum domain is situated. … A possibility is that we will find exactly where the boundary lies. More plausible to me is that we will find that there is no boundary. It is hard for me to envisage intelligible discourse about a world with no classical part – no base of given events, be they only mental events in a single consciousness, to be correlated. On the other hand, it is easy to imagine that the classical domain could be extended to cover the whole. The wave functions would prove to be a provisional or incomplete description of the quantum-mechanical part, of which an objective account would become possible. It is this possibility, of a homogeneous account of the world, which is for me the chief motivation of the study of the so-called “hidden variable” possibility.” (From Chapter 4 of Bell’s book, Speakable and Unspeakable in Quantum Mechanics.)
These plots illustrate the role played by the topology of in producing strong correlations:
This confirms that Bell’s theorem stems from topologically naïve assumptions!
More specifically, equations (1.22) to (1.26) on page 10 of my book, as well as similar set of equations in this paper, have been explicitly verified (in great detail) by Lucien Hardy, among several other high profile and exceptionally competent physicists and mathematicians around the world. In fact, any competent reader with only basic skills in mathematics should be able to reproduce equations (1.22) to (1.26) of my book rather effortlessly:
where Einstein’s summation convention on the tensor indices is implicit. The notation and meaning of these equations are also explained in great detail in this paper and in this preprint. The equations have also been verified numerically in the GAViewer (which is a computing implementation of Geometric Algebra) by Albert Jan Wonnink, in these two fine simulations.
All of the so-called arguments against my disproof to date are based on an elementary logical fallacy—the Straw-man Fallacy. What the critics do is deceitfully replace my model X with its grossly distorted misrepresentation Y, and then pretend—by refuting their own distortion Y (by resorting to deliberate dishonesty, wilful deception, or out of sheer incompetence)—that they have undermined my actual model X. Such a dishonest strategy is an insult to the scientific process (for more details, see, for example, these papers). Worse still, when their dishonest strategy is exposed, some critics (e.g. Richard Gill) stoop to dirty political tactics and criminal activities instead of admitting their incompetence in physics and mathematics.
Unlike Bell himself, some of the followers of Bell are naïve, uninformed, and dishonest. The goal of such Bell mafia has been to target my academic affiliations using dirty tricks in order to debilitate me financially and prevent me from publishing my results. Richard Gill, for example, has been writing malicious letters to anyone and any institution connected to me or my work on Bell’s theorem to discredit my work and debilitate me financially, so that I can no longer publish my results with scientific credibility. Hopefully vicious personal attacks, verbal abuse, smear, online harassment, intimidation, and writing malicious letters to my academic superiors by the Bell extremists like Richard Gill will not distract us from the scientific truth. It is disappointing that some unscrupulous members of the “foundations” community condone such despicable tactics by the likes of Richard Gill and Scott Aaronson.
More recently a number of sociologists of science have identified some of the critiques of my work as a form of scientific misconduct. For example in this analysis the author identifies the main culprit as pseudoskepticism: “uttering negative conclusions about someone else’s work that are downright false.” Science is paying a very heavy price for this form of misconduct.
Should the community ignore the crimes committed by Richard Gill and Scott Aaronson? Both of these individuals have used all sorts of dirty political tactics to hurt me academically and financially. I therefore call upon the scientific community to have their professorships revoked when my proposed experiment finally vindicates my refutation of Bell’s theorem.
PS: There are other physicists who have also noted that the Bell militants, like Richard Gill, “continue to obstruct and intimidate, by astroturfing, [cyber-bullying], writing threatening letters to bosses, employers, journal editors, etc., to suppress the truth from coming out. Those who have staked their whole careers on [quantum] mysticism, or have financial interests in it [such as Scott Aaronson], feel threatened by the truth and lash out at critics.”
PPS: It is also worth noting that Richard Gill has been banned from Paul Snively’s blog, Fred Diether’s science forum, Wikipedia, and several other Internet sites (including this blog) for lying compulsively, spamming, and other menacing, unruly, and unethical behaviour. He has a nasty habit of spamming every Internet venue with blatant lies and malicious smears about anyone whose work he perceives to be a threat to his vested interests and dogmatic beliefs. His latest attempt of bogusly criticizing my work was rejected even by the arXiv moderators. Unfortunately most unsuspecting scientists are unaware that Gill is a scoundrel and a thief.
PPPS: Richard Gill pretends to be upset with me because he thinks that I call him a “morally bankrupt, algebraically challenged, third-rate statistician.” He fears that I have exposed him to be a compulsive liar, and dreads that perhaps I also suspect him to be a certified sociopath.
An update: On Valentine’s day 2015 I resigned from the Foundational Questions Institute (FQXi). I am reproducing my resignation letter below. The trigger for my resignation was the fact that FQXi offered a membership to Richard Gill despite having witnessed how he harassed and bullied me online on their own website. To be fair to FQXi, they are unaware of the duplicitous character of Richard Gill. They are unaware of the dirty tricks and malicious underhand tactics Gill has been employing behind the scenes to undermine my academic credibility. As noted above, he has been systematically targeting my academic affiliations from the beginning of his malicious campaign against me. So things had been building up for a long time, on several fronts, within FQXi as well as within Oxford University. Offering Gill a membership of FQXi was the last straw. If my resignation letter seem strongly worded to you, then you are probably unaware of what has been going on for the past several years:
After many years of relentless harassment, Richard D. Gill has finally shown some remorse and regret publicly, at this public forum, for his obsessive, compulsive, psychopathic actions. In a private email to me, Fred Diether and Jay R. Yablon, he has also admitted that he tried to destroy my academic career systematically, “by pulling strings in high places.” For example, during 2012 and 2014 Richard Gill sent a series of malicious letters about me to the President of my college at the University of Oxford, with the aim to debilitate me both academically and financially, so that I could not continue my research challenging Bell’s theorem.
Just one individual (Richard D. Gill) has started six threads on PubPeer over the past seven years attacking five of my papers on Bell’s theorem. The same individual has tried to have all of my papers stonewalled and/or retracted over the past seven years. The same individual has written a series of malicious letters about me to the President of my College at Oxford University since 2011. The same individual has admitted that they “…should not have pursued [me], like [they] did, to all far corners of the internet! It was an unhealthy obsession on [their] part, and it caused harm to [me] and to others, which [they are] deeply sorry for.” That is not a normal behavior of any human being, let alone a supposed university professor.