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When faced with Duhemian problems of underdetermination, scientific method suggests neither a circumvention of such difficulties via the uncritical acceptance of background assumptions, nor the employment of epistemically unsatisfying subjectivist models of rational retainment. Instead, scientists are challenged to attack problems of underdetermination 'head-on', through a careful analysis of the severity of the testing procedures responsible for the production and modeling of their anomalous data. Researchers faced with the task of explaining empirical anomalies, employ a number of diverse and clever experimental techniques designed to cut through the Duhemian mists, and account for potential sources of error that might weaken an otherwise warranted inference. In lieu of such progressive experimental procedures, scientists try to identify the actual inferential work that an existing experiment is capable of providing so as to avoid ascribing to its output more discriminative power than it is rightfully due. We argue that the various strategies adopted by researchers involved in the testing of Bell's inequality, are well represented by Mayo's error-statistical notion of scientific evidence. In particular, an acceptance of her stringent demand for the output of severe tests to stand at the basis of rational inference, helps to explain the methodological reactions expressed by scientists in response to the loopholes that plagued the early Bell experiments performed by Alain Aspect et al.. At the same time, we argue as a counterpoint, that these very reactions present a challenge for 'top-down' approaches to Duhem's problem. / Master of Arts

This thesis investigates the violation of Bell's Inequality through the use of nonlocal measurement schemes as encapsulated in a quasi-deterministic toy model. This toy model, called the Q Box, is reminiscent of Mermin's Box in that it describes a system that appears to be deterministic yet produces the statistics of a quantum type system. [1] The workings of the Q Box are detailed both as a thought experiment and as a computer simulation. Nonlocal measurement protocols similar to those which generate a violation of Bell's Inequality in the Q Box are also applied to Mermin's Box, with comparable results. [1] N.D. Mermin, "Bringing home the atomic world: Quantum mysteries for anybody," Am. J. Phys. 49: 940-943 (1981). N. David Mermin, Am. J. Phys. 58:731-734 (1990).

Thesis (M.S.)--Brigham Young University. Dept. of Physics and Astronomy, 2006. / Includes bibliographical references (p. 113-115).

We investigated the association of Bell's palsy (BP) with the subsequent risk of Parkinson's disease (PD) using a case-control study design. We matched 196 incident cases of PD in Olmsted County, MN, to 196 general population controls with same age (±1 year) and sex, and we reviewed the complete medical records of cases and controls in a medical records-linkage system to detect BP. Six of the 196 patients with PD and none of the 196 controls were diagnosed with BP before PD (exact binomial probability, P = 0.02). The median age at occurrence of BP was 49.5 years (range, 15-84 years) and the median time between BP and the onset of PD was 27.5 years (range, 2-54 years). The findings were similar using a standardized incidence ratio (SIR) approach, but were not statistically significant. This initial association between BP and PD awaits replication.

The relative polarization of the two photons emitted when a positron annihilates at rest has been re-investigated with high precision and a different method of data analysis. An experiment using a pair of ideal polarization analyzers to measure this relative polarization would be a special case of the general class of thought experiments discussed by Einstein, Podolsky, and Rosen (EPR). EPR argued from these thought experiments that a physical system can exist in a state with definite values for two non-commuting variables. Since quantum mechanics can not describe such a state, EPR called quantum mechanics "incomplete". But EPR believed a complete theory -sometimes called a hidden variable theory- is possible. (This argument of EPR is sometimes called the Einstein-Podolsky-Rosen "paradox".) Our experimental results, together with a theorem due to Bell, provide strong evidence that a local "hidden variable" theory is not possible. The results also rule out a hypothetical modification of quantum mechanics, suggested by Bohm and Aharonov, which was motivated by the EPR thought experiments. Compton scattering was used to analyze the linear polarization. But the theorem of Bell, mentioned above, applies to relatively "ideal" polarization measurements. Therefore, it was necessary to prove the existence, and find the explicit form of the function f relating Compton and ideal linear polarization measurements. The existence of f is shown here to follow from general principles of quantum mechanics, plus parity and angular momentum conservation; the explicit form of f is deduced from the Klein-Nishina equation. Experimental evidence is cited against the argument that f may be different in a local "hidden variable" theory.

Structures that demonstrate nonclassicality are of foundational interest in quantum mechanics, and can also be seen as resources for numerous applications in quantum information processing - particularly in the Hilbert space of N qubits. The theory of entanglement, quantum contextuality, and quantum nonlocality within the N-qubit Pauli group is further developed in this thesis. The Strong Kochen-Specker theorem and the structures that prove it are introduced and explored in detail. The pattern of connections between structures that show entanglement, contextuality, and nonlocality is explained. Computational search algorithms and related tools were developed and used to perform complete searches for minimal nonclassical structures within the N-qubit Pauli group up to values of N limited by our computational resources. Our results are surveyed and prescriptions are given for using the elementary nonclassical structures we have found to construct more complex types of such structures. Families of nonclassical structures are presented for all values of N, including the most compact family of projector-based parity proofs of the Kochen-Specker theorem yet discovered in all dimensions of the form 2N, where N>=2. The applications of our results and their connection with other work is also discussed.

We analyze a coincidence Stern-Gerlach measurement often discussed in connection with the derivation and illustration of Bell's theorem. The treatment is based on our recent analysis of the original Stern-Gerlach experiment (PCCP, 14, 1677‐1684 (2012)), where it is concluded that it is necessary to include a spin relaxation process to account for the experimental observations. We consider two limiting cases of a coincidence measurement using both an analytical and a numerical description. In on limit relaxation effects are neglected. In this case the correlation between the two spins present in the initial state is conserved during the passage through the magnets. However, at exit the z coordinate along the magnetic field gradient is randomly distributed between the two extreme values. In the other limit T2 relaxation is assumed to be fast relative to the time of flight through the magnet. In this case the z coordinate takes one of two possible values as observed in the original Stern‐Gerlach experiment. Due to the presence of a relaxation process involving transfer of angular momentum between particle and magnet the initially entangled spin state changes character leading to a loss of correlation between the two spins. In the original derivations of Bell's theorem based on a coincidence Stern‐Gerlach setup one assumes both a perfect correlation between the spins and only two possible values for the z‐coordinate on exit. According to the present calculations one can satisfy either of these conditions but not both simultaneously.

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Theoretical work in quantum information has demonstrated that a classical hidden-variable model of an entangled singlet state can explain nonclassical correlations observed in tests of Bell’s inequality if while measuring the Bell correlation, the underlying probability distribution of the hidden-variable changes depending on the measurement basis. To rule out this possibility, distant quasars can be utilized as random number generators to set measurement bases in an experimental test of Bell’s inequality. Here we report on the design and characterization of a device that uses the color of incoming quasar photons to output a random bit with nanosecond latency. Through the 1-meter telescope at JPL Table Mountain Observatory, we observe and generate random bits from quasars with redshifts z = 0.1−3.9. In addition, we formulate a mathematical model that quantifies the fidelity of the bits generated.