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Joy Christian
University of Oxford
  1.  16
    Bell's Theorem Versus Local Realism in a Quaternionic Model of Physical Space.Joy Christian - 2019 - IEEE Access 7:133388-133409.
    In the context of EPR-Bohm type experiments and spin detections confined to spacelike hypersurfaces, a local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature (S^3 ) is presented that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism or backward causation. A singularity-free Clifford-algebraic (...)
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  2.  19
    Oversights in the Respective Theorems of von Neumann and Bell Are Homologous.Joy Christian - manuscript
    We show that the respective oversights in the von Neumann's general theorem against all hidden variable theories and Bell's theorem against their local-realistic counterparts are homologous. When latter oversight is rectified, the bounds on the CHSH correlator work out to be ±2√2 instead of ±2.
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  3.  18
    On a Surprising Oversight by John S. Bell in the Proof of His Famous Theorem.Joy Christian - unknown
    Bell inequalities are usually derived by assuming locality and realism, and therefore violations of the Bell-CHSH inequality are usually taken to imply violations of either locality or realism, or both. But, after reviewing an oversight by Bell, in the Corollary below we derive the Bell-CHSH inequality by assuming only that Bob can measure along vectors b and b' simultaneously while Alice measures along either a or a', and likewise Alice can measure along vectors a and a' simultaneously while Bob measures (...)
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  4.  8
    Quantum Correlations Are Weaved by the Spinors of the Euclidean Primitives.Joy Christian - 2018 - Royal Society Open Science 5:1-40.
    The exceptional Lie group E_8 plays a prominent role both in mathematics and theoretical physics. It is the largest symmetry group connected to the most general possible normed division algebra, that of the non-associative real octonions, which — thanks to their non-associativity — form the only possible closed set of spinors that can parallelize the 7-sphere. By contrast, here we show how a similar 7-sphere also arises naturally from the algebraic interplay of the graded Euclidean primitives, such as points, lines, (...)
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  5.  21
    Local Causality in a Friedmann-Robertson-Walker Spacetime.Joy Christian - unknown
    A local, deterministic, and realistic model within a Friedmann-Robertson-Walker spacetime with constant spatial curvature is presented which describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson. Exact agreement with the probabilistic predictions of quantum theory is achieved in the model without data rejection, remote contextuality, superdeterminism, or backward causation. An event-by-event numerical simulation of the model is presented, which confirms our analytical results with the accuracy of 4 in (...)
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  6.  23
    Disproof of Bell's Theorem.Joy Christian - unknown
    We illustrate an explicit counterexample to Bell's theorem by constructing a pair of dichotomic variables that exactly reproduce the EPR-Bohm correlations in a manifestly local-realistic manner.
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  7. Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables.Joy Christian - unknown
    It is shown that Bell's theorem fails for the Clifford algebra valued local realistic variables. This is made evident by exactly reproducing quantum mechanical expectation value for the EPR-Bohm type spin correlations observable by means of a local, deterministic, Clifford algebra valued variable, without necessitating either remote contextuality or backward causation. Since Clifford product of multivector variables is non-commutative in general, the spin correlations derived within our locally causal model violate the CHSH inequality just as strongly as their quantum mechanical (...)
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  8.  67
    Can Bell’s Prescription for Physical Reality Be Considered Complete?Joy Christian - unknown
    An experiment is proposed to test Bell’s theorem in a purely macroscopic domain. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. It is stressed why the inequalities should not be presumed to hold for such a macroscopic system without actual experimental evidence. In particular, by providing a purely classical, topological explanation for the EPR-Bohm type spin correlations, it is demonstrated why Bell inequalities must be violated in the manifestly local, macroscopic domain, just (...)
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  9.  8
    What Really Sets the Upper Bound on Quantum Correlations?Joy Christian - unknown
    The discipline of parallelization in the manifold of all possible measurement results is shown to be responsible for the existence of all quantum correlations, with the upper bound on their strength stemming from the maximum of possible torsion within all norm-composing parallelizable manifolds. A profound interplay is thus uncovered between the existence and strength of quantum correlations and the parallelizability of the spheres S^0, S^1, S^3, and S^7 necessitated by the four real division algebras. In particular, parallelization within a unit (...)
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  10.  41
    Macroscopic Observability of Spinorial Sign Changes Under 2pi Rotations.Joy Christian - unknown
    The question of observability of sign changes under 2pi rotations is considered. It is shown that in certain circumstances there are observable consequences of such sign changes in classical physics. A macroscopic experiment is proposed which could in principle detect the 4pi periodicity of rotations.
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  11. Disproof of Bell's Theorem: Further Consolidations.Joy Christian - unknown
    The failure of Bell's theorem for Clifford algebra valued local variables is further consolidated by proving that the conditions of remote parameter independence and remote outcome independence are duly respected within the recently constructed exact, local realistic model for the EPR-Bohm correlations. Since the conjunction of these two conditions is equivalent to the locality condition of Bell, this provides an independent geometric proof of the local causality of the model, at the level of microstates. In addition to local causality, the (...)
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  12. Failure of Bell's Theorem and the Local Causality of the Entangled Photons.Joy Christian - unknown
    A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and Bob, which allows them to simulate observing photon polarizations at various angles, and record their results as A=+/-1 in S^3 and B=+/-1 in S^3, respectively. When these results are compared, the correlations are seen to be exactly those predicted by quantum mechanics; namely cos 2(alpha - beta), where alpha and (...)
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  13.  93
    Disproofs of Bell, Ghz, and Hardy Type Theorems and the Illusion of Entanglement.Joy Christian - unknown
    An elementary topological error in Bell's representation of the EPR elements of reality is identified. Once recognized, it leads to a topologically correct local-realistic framework that provides exact, deterministic, and local underpinning of at least the Bell, GHZ-3, GHZ-4, and Hardy states. The correlations exhibited by these states are shown to be exactly the classical correlations among the points of a 3 or 7-sphere, both of which are closed under multiplication, and hence preserve the locality condition of Bell. The alleged (...)
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  14.  27
    Macroscopic Observability of Fermionic Sign Changes: A Reply to Gill.Joy Christian - unknown
    In a recent arXiv preprint Richard Gill has criticized an experimental proposal published in a journal of theoretical physics which describes how to detect a macroscopic signature of fermionic sign changes. Here I point out that his worries stem from his own elementary algebraic and conceptual mistakes, and present several event-by-event numerical simulations which expose the vacuity of his claims by explicit computations.
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  15.  2
    Proposed Macroscopic Test of the Physical Relevance of Bell's Theorem.Joy Christian - unknown
    A macroscopic experiment capable of detecting a signature of spinorial sign changes is discussed. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. By providing an explicitly local-realistic derivation of the EPR-Bohm type spin correlations, it is demonstrated why Bell inequalities must be violated even in such a manifestly local, macroscopic domain, just as strongly as they are in the microscopic domain. The proposed experiment has the potential to transform our understanding of the (...)
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  16.  78
    A Simplified Local-Realistic Derivation of the EPR-Bohm Correlation.Joy Christian - unknown
    We illustrate an explicit counterexample to Bell's theorem by constructing a pair of spin variables within S^3 that exactly reproduces the EPR-Bohm correlation in a manifestly local-realistic manner.
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  17.  19
    Whither All the Scope and Generality of Bell's Theorem?Joy Christian - unknown
    In a recent preprint James Owen Weatherall has attempted a simple local-deterministic model for the EPR-Bohm correlation and speculated about why his model fails when my counterexample to Bell's theorem succeeds. Here I bring out the physical, mathematical, and conceptual reasons why his model fails. In particular, I demonstrate why no model based on a tensor representation of the rotation group SU can reproduce the EPR-Bohm correlation. I demonstrate this by calculating the correlation explicitly between measurement results A = +1 (...)
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  18.  17
    Refutation of Richard Gill's Argument Against My Disproof of Bell's Theorem.Joy Christian - unknown
    I identify a number of errors in Richard Gill's purported refutation of my disproof of Bell's theorem. In particular, I point out that his central argument is based, not only on a rather trivial misreading of my counterexample to Bell's theorem, but also on a simple oversight of a freedom of choice in the orientation of a Clifford algebra. What is innovative and original in my counterexample is thus mistaken for an error, at the expense of the professed universality and (...)
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  19.  18
    Restoring Local Causality and Objective Reality to the Entangled Photons.Joy Christian - unknown
    Unlike our basic theories of space and time, quantum mechanics is not a locally causal theory. This well known fact was brought forth by Einstein, Podolsky, and Rosen in 1935. Today it is widely believed that any hopes of restoring local causality within a realistic theory have been undermined by Bell's theorem and its supporting experiments. By contrast, we provide a strictly local, deterministic, and realistic explanation for the correlations observed in two such supporting experiments performed at Orsay and Innsbruck. (...)
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  20.  2
    Refutation of Some Arguments Against My Disproof of Bell's Theorem.Joy Christian - unknown
    In a couple of recent preprints Moldoveanu has suggested that there are errors in my disproof of Bell's theorem. Here I show that this claim is false. In particular, I show that my local-realistic framework is incorrectly and misleadingly presented in both of his preprints. In addition there are a number of serious mathematical and conceptual errors in his discussion of my framework. For example, contrary to his claim, my framework is manifestly non-contextual. In particular, quantum correlations are understood within (...)
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  21.  33
    Passage of Time in a Planck Scale Rooted Local Inertial Structure.Joy Christian - unknown
    It is argued that the `problem of time' in quantum gravity necessitates a refinement of the local inertial structure of the world, demanding a replacement of the usual Minkowski line element by a 4+2n dimensional pseudo-Euclidean line element, with the extra 2n being the number of internal phase space dimensions of the observed system. In the refined structure, the inverse of the Planck time takes over the role of observer-independent conversion factor usually played by the speed of light, which now (...)
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  22.  24
    Absolute Being Vs Relative Becoming.Joy Christian - unknown
    Contrary to our immediate and vivid sensation of past, present, and future as continually shifting non-relational modalities, time remains as tenseless and relational as space in all of the established theories of fundamental physics. Here an empirically adequate generalized theory of the inertial structure is discussed in which proper time is causally compelled to be tensed within both spacetime and dynamics. This is accomplished by introducing the inverse of the Planck time at the conjunction of special relativity and Hamiltonian mechanics, (...)
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  23.  37
    Wanted: Schrödinger's Cat, Dead or Alive!Joy Christian - 1993 - Philosophy Now 7:24-27.
  24.  21
    Bistro Banter.Wayne C. Myrvold & Joy Christian - 2009 - In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 445--477.
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  25.  14
    On the Origins of Quantum Correlations.Joy Christian - unknown
    It is well known that quantum correlations are not only more disciplined compared to classical correlations, but they are more disciplined in a mathematically very precise sense. This raises an important physical question: What is responsible for making quantum correlations so much more disciplined? Here we explain the observed discipline of quantum correlations by identifying the symmetries of our physical space with those of a parallelized 7-sphere. We substantiate this identification by proving that any quantum correlation can be understood as (...)
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  26.  28
    Testing Quantum State Reduction Via Cosmogenic Neutrinos.Joy Christian - unknown
    It is pointed out that the Diosi-Penrose ansatz for gravity-induced quantum state reduction can be tested by observing oscillations in the flavor ratios of neutrinos originated at cosmological distances. Since such a test would be almost free of environmental decoherence, testing the ansatz by means of a next generation neutrino detector such as IceCube would be much cleaner than by experiments proposed so far involving superpositions of macroscopic systems. The proposed microscopic test would also examine the universality of superposition principle (...)
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  27.  9
    On the Fatal Mistake Made by John S. Bell in the Proof of His Famous Theorem.Joy Christian - unknown
    We explain the elementary mistake made by John S. Bell in the proof of his famous ``theorem.''.
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  28.  6
    Macroscopic Observability of Spinorial Sign Changes: A Simplified Proof.Joy Christian - unknown
    A macroscopic experiment capable of detecting a signature of spinorial sign changes is discussed. If realized, it would determine whether Bell inequalities are satisfied for a manifestly local, classical system. By providing an explicitly local-realistic derivation of the EPR-Bohm type spin correlations, it is demonstrated why Bell inequalities must be violated even in such a manifestly local, macroscopic domain, just as strongly as they are in the microscopic domain. The proposed experiment has the potential to transform our understanding of the (...)
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  29.  2
    Disproof of Bell’s Theorem: Illuminating the Illusion of Entanglement.Joy Christian - 2014 - Boca Raton, Florida: BrownWalker Press.
  30.  97
    Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle.Wayne C. Myrvold & Joy Christian (eds.) - 2009 - Springer.
    Part I Introduction -/- Passion at a Distance (Don Howard) -/- Part II Philosophy, Methodology and History -/- Balancing Necessity and Fallibilism: Charles Sanders Peirce on the Status of Mathematics and its Intersection with the Inquiry into Nature (Ronald Anderson) -/- Newton’s Methodology (William Harper) -/- Whitehead’s Philosophy and Quantum Mechanics (QM): A Tribute to Abner Shimony (Shimon Malin) -/- Bohr and the Photon (John Stachel) -/- Part III Bell’s Theorem and Nonlocality A. Theory -/- Extending the Concept of an (...)
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