By religiously adhering to physics in spacetime and taking the final verdict of N.D. Mermin’s Ithaca interpretation of quantum mechanics seriously, Hardy’s paradox is completely resolved. It is then concluded that logical and mathematically consistent physical theories must be put in spacetime related formalism such as noncommutative geometry and E-infinity theory to avoid quantum paradoxes. At a minimum, we should employ the philosophy behind consistent quantum interpretation such as that of the famous Ithaca interpretation of D. Mermin.
References
[1]
Hardy, L. (1993) Nonlocality of Two Particles without Inequalities for Almost All Entangled States. Physics Review Letters, 71, 1665-1668.
https://doi.org/10.1103/PhysRevLett.71.1665
[2]
Aharonov, Y., Botero, A., Popescu, S., Reznik, B. and Tallaksen, J. (2002) Revisiting Hardy’s Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values. Physics Letters A, 301, 130-138.
https://arxiv.org/abs/quant-ph/0104062 https://doi.org/10.1016/S0375-9601(02)00986-6
[3]
Ho, M.-W. (2014) E-Infinity Spacetime, Quantum Paradoxes and Quantum Gravity. Journal of the Institute of Science in Society, 62, 40-43.
[4]
Mermin, D. (1998) The Ithaca Interpretation of Quantum Mechanics. Pramana, 51, 549-565. https://doi.org/10.1007/BF02827447
[5]
El Naschie, M.S. (2011) Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry. Journal of Quantum Information Science, 1, 50-53.
https://doi.org/10.4236/jqis.2011.12007
[6]
Marek-Crnjac, L. (2011) The Common Sense of the Geometry of Quantum Entanglement. Fractal Spacetime and Noncommutative Geometry in Quantum and High Energy Physics, 1, 31-39.
[7]
Ord, G., He, J.-H. and El Naschie, M.S. (Eds.) (2013) On the Shoulder of Giants. Fractal Spacetime and Noncommutative Geometry in Quantum and High Energy Physics, 3, 59-62.
[8]
Aharonov, Y. and Rohrlich, D. (2005) Quantum Paradoxes: Quantum Theory for the Perplexed. Wiley-VCH Verlag, Weinheim.
https://doi.org/10.1002/9783527619115
[9]
El Naschie, M.S. (2017) Looped Light on Dark Energy. Journal of Quantum Information Science, 7, 43-47. https://doi.org/10.4236/jqis.2017.72004
[10]
El Naschie, M.S. and Olsen, S.A. (2011) When Zero Is Equal One: A Set Theoretical Resolution of Quantum Paradoxes. Fractal Spacetime & Noncommutative Geometry in Quantum High Energy Physics, 1, 11-24.
[11]
El Naschie, M.S. (2014) Hardy’s Entanglement as the Ultimate Explanation for the Observed Cosmic Dark Energy and Accelerated Expansion. Journal of High Energy Physics, 1, 13-17. https://doi.org/10.11648/j.ijhep.20140102.11
[12]
Marek-Crnjac, L. (2011) The Physics of Empty Sets and the Quantum. Nonlinear Science Letters B, 1, 8-9.
[13]
El Naschie, M.S. (2017) Quantum Disentanglement as the Physics behind Dark Energy. Open Journal of Mircophysics, 7, 1-27.
https://doi.org/10.4236/ojm.2017.71001
[14]
Wittgenstein, L. (1961) Tractatus Logico-Philosphicus. Routledge and Kegan Paul, London.
[15]
Wittgenstein, L. (1958) The Blue and Brown Books. Blackwell Publishing, Oxford.
[16]
Connes, A. (1994) Noncommutative Geometry. Academic Press, San Diego.
[17]
El Naschie, M.S. (1998) Penrose Universe and Cantorian Spacetime as a Model for Noncommutative Quantum Geometry. Chaos, Solitons & Fractals, 9, 931-933.
https://doi.org/10.1016/S0960-0779(98)00077-0
[18]
Misner, C., Thorne, K. and Wheeler, J. (1973) Gravitation. Freeman, New York.
[19]
El Naschie, M.S. (2004) A Review of E-Infinity and the Mass Spectrum of High Energy Particle Physics. Chaos, Solitons & Fractals, 19, 209-236.
https://doi.org/10.1016/S0960-0779(03)00278-9
[20]
El Naschie, M.S. (2017) Elements of a New Set Theory Based Quantum Mechanics with Applications in High Energy Quantum Physics and Cosmology. International Journal of High Energy Physics, 4, 65-74.
[21]
Sartre, J.P. (2012) Being and Nothingness. Open Road Media, New York.
[22]
El Naschie, M.S. (2017) The Physics, Mathematics and Common Sense of Cosmic Dark Energy and Spacetime Extra Dimensions. International Journal of Innovations in Science and Mathematics, 5, 201-204.
[23]
El Naschie, M.S. (2009) The Theory of Cantorian Spacetime and High Energy Particle Physics (An Informal Review). Chaos, Solitons & Fractals, 41, 2635-2646.
https://doi.org/10.1016/j.chaos.2008.09.059
[24]
El Naschie, M.S. (2016) On a Fractal Version of Witten’s M-Theory. Journal of Astronomy & Astrophysics, 6, 135-144.
