Recent Publications
Recent publications include:
- B. J. Hiley, M. A. de Gosson and E. Binz, Clifford Algebras in Symplectic Geometry and Quantum Mechanics, (2011), Preprint.
- B. J. Hiley, The Bohm Approach Re-Assessed, (2010), Preprint.
- B. J. Hiley and M. A. de Gosson, Zeno Paradox for Bohmian Trajectories:
The Unfolding of the Metatron, (2010), submitted to Foundations of Physics.
arXiv:1001.2622 v1 [quant-ph]
- B. J. Hiley and M. A. de Gosson, Imprints of the Quantum World in
Classical Mechanics, (2010), submitted to Foundations of Physics.
arXiv:1001.4632 v2 [quant-ph]
- B. J. Hiley, Clifford Algebras and the Dirac-Bohm Quantum Hamilton-Jacobi Equation, (2010), Preprint.
- B. J. Hiley, From Sets to Clifford Algebras, (2010), Preprint.
- B. J. Hiley and R. E. Callaghan, The Clifford Algebra Approach to Quantum Mechanics B: The Dirac Particle and its relation to the Bohm Approach, (2010), Preprint.
arXiv:1011.4031 [Math-ph]
- B. J. Hiley and R. E. Callaghan, The Clifford Algebra approach to Quantum Mechanics A: The Schrödinger and Pauli Particles, (2010), Preprint.
arXiv:1011.4031 [Math-ph]
- B. J. Hiley, Some Remarks on the Evolution of Bohm's Proposals for an Alternative to Standard Quantum Mechanics, (2010) Preprint.
- B. J. Hiley, Process, Distinction, Groupoids and Clifford Algebras: an Alternative View of the Quantum Formalism,
in New Structures for Physics, ed Coecke, B., Lecture Notes in Physics, vol.
813, pp. 705-750, Spinger (2011).
- B. J. Hiley, Moyal’s Characteristic Function, the Density Matrix and von Neumann’s Idempotent,
(2007) Preprint.
B. J. Hiley, On the Relationship between the Wigner-Moyal and Bohm Approaches to Quantum Mechanics: A Step towards
a more General Theory, Found Phys., 40 (2009)356-67.
B. J. Hiley, Quantum Reality unveiled through Process and the Implicate Order.
B. J. Hiley, Phase Space Description of Quantum Mechanics and Non-commutative Geometry:
Wigner-Moyal and Bohm in a wider context, to appear in “Beyond the Quantum”, eds Th.M. Nieuwenhuizen, V. Spicka, B. Mehmani, M. Jafar-Aghdami and A. Yu Khrennikov(World Scientific, 2007).
B. J. Hiley and R. E. Callaghan, What is erased in the quantum eraser?,
Found. Phys. 36(12) 1869, Dec 2006.
B. J. Hiley and R. E. Callaghan, Delayed Choice Experiments and the Bohm
Approach., Phys. Scr. 74 (2006) 336-348.
B. J. Hiley, Welcher Weg Experiments from the Bohm Perspective, Quantum Theory: Reconsiderations of Foundations-3, Växjö, Sweden 2005, ed. Adenier, G., Krennikov, A. Yu. and Nieuwenhuizen, Theo. M., pp. 154-160, AIP,
2006.
D. Bohm, B. J. Hiley and P. G. Davies, Algebraic Quantum Mechanics and Pregeometry, Quantum Theory: Reconsiderations of Foundations-3, Växjö, Sweden 2005, ed. Adenier, G., Krennikov, A. Yu. and Nieuwenhuizen, Theo. M., pp. 314-24, AIP. 2006.
B. J. Hiley, Quantum Space-times: an Introduction to “Algebraic Quantum Mechanics and Pregeometry”, Quantum Theory: Reconsiderations of Foundations-3, Växjö, Sweden 2005, ed. Adenier, G., Krennikov, A. Yu. and Nieuwenhuizen, Theo. M., pp. 312-3, AIP, 2006.
B. J. Hiley, With P. Pylkkänen, Can Mind Affect matter via Active Information?
Mind &Matter, 3, 7-27, 2005.
B. J. Hiley, Non-commutative Quantum Geometry: a re-appraisal of the Bohm approach to quantum theory, in Quo Vadis Quantum Mechanics? Eds. A. Elitzur, S. Dolev and N. Kolenda 299-324, Springer, 2005.
B. J. Hiley, Phase Space Description of Quantum Phenomena, in
Quantum Theory : Reconsiderations of Foundations-2, ed. Krennikov, A., pp. 267-86, Växjö University Perss, Växjö, Sweden, 2004.
B. J. Hiley, Information, Quantum Theory and the Brain, in Brain
and Being, ed. Globus, G. G., Pribram, K. and Vitiello, G., pp. 199-216, Benjamins,
Amsterdam, 2004.
B. J. Hiley, Algebraic Quantum Mechanics, Algebraic Spinors and
Hilbert Space, in Boundaries, Scientific Aspects of ANPA24, ed K G Bowden, ANPA,
London, pp 149 – 186, 2003.
- B. J. Hiley, From the Heisenberg Picture to Bohm: a New Perspective
on
Active Information and its relation to Shannon Information, in Quantum
Theory: reconsideration of foundations Proc. Int. Conf. Vexjo, Sweden,
June
2001, to be published in 2002.
- B. J. Hiley, A Note on the Role of Idempotents in the Extended
Heisenberg
Algebra, , Proc. of the Int, Meeting of ANPA 22, 107-121,Cambridge,
(2001).
- B. J. Hiley and P. Pylkkänen, Naturalizing the Mind in a Quantum
Framework,
in Dimensions of Conscious Experience, ed. Paavo Pylkkannen and Tere
Vaden,
pp. 119-144, John Benjamins, Amsterdam. (2001).
- B. J. Hiley, Particle, Fields and Observers, in Frontiers of Life,
Vol. 1,
The Origins of Life,Section II, The Physical and Chemical Basis of
Life, p.
89-106, Academic Press 2001.
- B. J. Hiley, Quantum theory, information dynamics and the relationship
between mind and matter, Proc. Int. School of Biophysics, Neuronal
Coding of
Perceptual Systems, Ed W. Backhaus, 9, 423-44, World Scientific,
Singapore,
2001.
- B.J.Hiley, Non-Commutative Geometry, the Bohm Interpretation and the Mind-Matter
Relationship, Computing Anticipatory Systems: CASYS 2000-Fourth
International Conference. edited by D. M. Dubois, pp. 77-88, AIP, (2001).
Publications for the following years:
2000
1999
1998
1997
1996
1995