Abstract
This principle of superposition is basic to wave behaviors and the analysis of harmonic systems. For individuals, measured behaviors may provide specific values at given times, but cumulatively, all individuals generally fall on a normalized distribution of values. Feynman challenged researchers to think beyond the conventional use of positive probabilities. This approach has not been used in statistics or epidemiology. Nevertheless, it has immediate implications to applied research interventions with positive and negative health conditions and behaviors, especially within the context of Wright’s path coefficients. Behavioral trajectories are impacted by coupled systems such that negative probability “accounting adjustments” might apply for events and non-events.
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Abbreviations
- ATP:
-
Adenosine triphosphate
- pCO2 :
-
Percentage carbon dioxide
- pO2 :
-
Percentage oxygen
References
Bartlett, M. S. (1945). Negative probability. Mathematical Proceedings of the Cambridge Philosophical Society, 41(1), 71–73.
Bohm, D. (1987). Hidden variables and the implicate order. In B. J. Hiley & F. D. Peat (Eds.), Quantum implications: Essays in honour of David Bohm (pp. 33–45). London: Routledge & Kegan Paul.
Bonhoeffer, D. (1933 [1995]). Christ the center. In Kelly, G.B. & Nelson, F.B. (eds.), A testament to freedom: The essential writings of Dietrich Bonhoeffer, pp. 110–123. New York: HarperOne.
Bracewell, R. (1965). The Fourier transform and its applications. New York: McGraw-Hill.
Bracewell, R. (1989). The Fourier transform. Scientific American, 260(6), 86–95.
Carson, D. A. (1998). An infectious origin of extraskeletal calcification. Proceedings of the National Academy of Sciences of the United States of America, 95, 7846–7847.
Croskerry, P. (2003). The importance of cognitive errors in diagnosis and strategies to minimize them. Academic Medicine, 78, 775–780.
Davies, P., Demetrius, L. A., & Tuszynski, J. A. (2012). Implications of quantum metabolism and natural selection for the origin of cancer cells and tumor progression. AIP Advances, 2, 011101. 2158-3226/2012/2(1)/011101/14.
Dirac, P. A. M. (1942). Bakerian lecture: The physical interpretation of quantum mechanics. Proceedings of the Royal Society A, Mathematical, Physical and Engineering Sciences, 180(980), 1–40.
Eigen, M., & Schuster, P. (1979). The hypercycle: A principle of natural self organization. Berlin: Springer.
Feynman, R. P. (1948). Space-time approach to non-relativistic quantum mechanics. Reviews of Modern Physics, 20(2), 367–387.
Feynman, R. P. (1987). Negative probability. In B. J. Hiley & F. D. Peat (Eds.), Quantum implications: Essays in honour of David Bohm (pp. 235–248). London: Routledge & Kegan Paul.
Feynman, R. P., & Hibbs, A. R. (1965). Quantum mechanics and path integrals. New York: McGraw-Hill.
Granada, A., Hennig, R. M., Ronacher, B., Kramer, A., & Herzel, H. (2009). Phase response curves: Elucidating the dynamics of coupled oscillators. Methods in Enzymology, 454, 1–27.
Hashimoto, S., Ochs, R. L., Rosen, F., Quach, J., McCabe, G., Solan, J., et al. (1998). Chondrocyte-derived apoptotic bodies and calcification of articular cartilage. Proceedings of the National Academy of Sciences of United States of America, 95, 3094–3099.
Hayflick, L. (2007). Entropy explains aging, genetic determinism explains longevity, and undefined terminology explains misunderstanding both. PLoS Genetics, 3(12), e220. doi:10.1371/journal.pgen.0030220.
Hiley, B. J. (2012). Process, distinction, groupoids and Clifford algebras: an alternative view of the quantum formalism. arXiv.1211.2107v1 [quant-ph] 9 Nov 2012.
Hoesel, B., & Schmid, J. A. (2013). The complexity of NF-κB signaling in inflammation and cancer. Molecular Cancer, 12, 86. doi:10.1186/1476-4598-12-86.
Hollar, D., Rowland, J., (2015). Promoting health literacy for people with disabilities and clinicians through a teamwork model. Journal of Family Strengths, 15(2), Article 5. http://digitalcommons.library.tmc.edu/jfs/vol15/iss2/5.
Kahneman, D. (2002). Maps of bounded rationality: A perspective on intuitive judgment and choice (Nobel lecture on economic Sciences). Stockholm: The Nobel Foundation.
Kohn, L. T., Corrigan, J. M., & Donalson, M. S. (Eds.). (1999). To err is human: Building a safer health system. Washington, D.C.: Institute of Medicine, National Academy Press.
Lay, J. E. (1963). Thermodynamics: a macroscopic-microscopic treatment. Columbus, OH: Charles E. Merrill Books, Inc.
Loy, G. (2007). Musimathics: The mathematical foundations of music (Vol. 2). Cambridge, MA: MIT Press.
Makary, M. A., & Daniel, M. (2016). Medical error – The third leading cause of death in the US. BMJ, 353, i2139. doi:10.1136/bmj.i2139. (Published 3 May 2016).
Margulis, L. (1998). Symbiotic planet. New York: Basic Books.
McMenamin, M. A. S., & McMenamin, D. L. S. (1990). The emergence of animals: The Cambrian breakthrough. New York: Columbia University Press.
Mintz, B., & Illmensee, K. (1975). Normal genetically mosaic mice produced from malignant teratocarcinoma cells. Proceedings of the National Academy of Sciences of United States of America, 72, 3585–3589.
Nicholls, D. G. (1982). Bioenergetics: An introduction to the chemiosmotic theory. New York: Academic Press.
Redelmeier, D. A. (2005). The cognitive psychology of missed diagnoses. Annals of Internal Medicine, 142, 115–120.
Stevens, L. C. (1960). Embryoid potency of embryoid bodies derived from a transplantable testicular teratoma of the mouse. Developmental Biology, 2, 285–297.
Thomas, R. D. K., Shearman, R. M., & Stewart, G. W. (2000). Evolutionary exploitation of design options by the first animals with hard skeletons. Science, 288, 1239–1242.
Tinbergen, N. (1963). On aims and methods of ethology. Zeitschrift für Tierpsychologie, 20, 410–433.
Wallerstein, G., & Elgar, S. (1992). Shock waves in stellar atmospheres and breaking waves on an ocean beach. Science, 256, 1531–1536.
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Hollar, D.W. (2018). On Negative Probabilities and Path Integrals. In: Trajectory Analysis in Health Care. Springer, Cham. https://doi.org/10.1007/978-3-319-59626-6_8
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