Basil J. Hiley (born 1935), is a British quantum physicist and professor emeritus of the University of London. Long-time co-worker of David Bohm, Hiley is known for his work with Bohm on implicate orders and for his work on algebraic descriptions of quantum physics in terms of underlying symplectic and orthogonal Clifford algebras.[1] Hiley co-authored the book The Undivided Universe with David Bohm, which is considered the main reference for Bohm's interpretation of quantum theory. The work of Bohm and Hiley has been characterized as primarily addressing the question "whether we can have an adequate conception of the reality of a quantum system, be this causal or be it stochastic or be it of any other nature" and meeting the scientific challenge of providing a mathematical description of quantum systems that matches the idea of an implicate order.[2] Contents 1 Education and career 2 Work 2.1
2.3.1 Projections into shadow manifolds 2.3.2 Relation of the de Broglie–Bohm theory to quantum phase space and Wigner–Moyal 2.3.3 Hierarchy of Clifford algebras 2.3.4 Observed trajectories and their algebraic description 2.4 Relations to other work 2.4.1 Mind and matter 3 Prizes 4 Publications 5 References 6 Further reading 7 External links Education and career[edit]
was particularly fascinated by John Wheeler's "sum over three geometries" ideas that he was using to quantise gravity. — Hiley, [7] Hiley worked with
Bohm trajectories under the influence of the quantum potential, at the example of an electron going through the two-slit experiment. The resultant trajectories were first presented by Philippidis, Dewdney and Hiley in 1979.[20] By performing numeric computations on the basis of the quantum
potential, Chris Philippidis, Chris Dewdney and
"I emphasize that Bohm–Hiley ontological reformulation of RQFT always treats Bose fields as continuous distributions in spacetime – basically because these quantum fields have perfectly well-defined classical analogs. The textbook spin-0, spin-1 and spin-2 bosons, such as the Higgs, photons, gluons, electroweak bosons and gravitons […] are, according to this viewpoint, not ″particles" in any naive sense of the word, but just dynamical structural features of coupled continuous scalar, vector, and symmetric tensor fields that first become manifest when interactions with matter particles (elementary or otherwise) occur […]." Implicate orders, pre-space and algebraic structures[edit]
Much of Bohm and Hiley's work in the 1970s and 1980s has expanded on
the notion of implicate, explicate and generative orders proposed by
Bohm.[51][52] This concept is described in the books Wholeness and the
Implicate Order[53] by Bohm and
"It is now quite clear that if gravity is to be quantised successfully, a radical change in our understanding of spacetime will be needed. We begin from a more fundamental level by taking the notion of process as our starting point. Rather than beginning with a spacetime continuum, we introduce a structure process which, in some suitable limit, approximates to the continuum. We are exploring the possibility of describing this process by some form of non-commutative algebra, an idea that fits into the general ideas of the implicate order. In such a structure, the non-locality of quantum theory can be understood as a specific feature of this more general a-local background and that locality, and indeed time, will emerge as a special feature of this deeper a-local structure." As of 1980, Hiley and his co-worker Fabio A. M. Frescura expanded on
the notion of an implicate order by building on the work of Fritz
Sauter and
The notion of another order underlying space was not new. Along
similar lines, both
x displaystyle x -space), but can be formulated, alternatively, in terms of momentum space ( p displaystyle p -space).[95][96][97] Operator equations i ℏ ∂ ρ ^ ∂ t + [ ρ ^ , H ^ ] − = 0 displaystyle ihbar frac partial hat rho partial t +[ hat rho , hat H ]_ - =0 ρ ^ ∂ S ^ ∂ t + 1 2 [ ρ ^ , H ^ ] + = 0 displaystyle hat rho frac partial hat S partial t + frac 1 2 [ hat rho , hat H ]_ + =0 Brown and Hiley (2000)[96] In 2000, Brown and Hiley showed that the
algebra signature equation Cℓ4,2 +, +, +, +, -, - Twistor twistor Cℓ1,3 +, -, -, - Dirac relativistic spin-½ Cℓ3,0 +, +, + Pauli spin-½ Cℓ0,1 - Schrödinger spin-0 Hiley expanded on the notion of a process algebra as proposed by
"that quantum phenomena per se can be entirely described in terms of
This result is in line with Hiley's striving for a purely algebraic
approach to quantum mechanics that is not a priori defined on any
external vector space.[56]
Hiley refers to Bohm's ink droplet analogy for a rather easily
understandable analogy of the notion of implicate and explicate order.
Regarding the algebraic formulation of the implicate order, he has
stated: "An important new general feature that emerges from these
considerations is the possibility that not everything can be made
explicit at a given time" and adding: 'Within the Cartesian order,
complementarity seems totally mysterious. There exists no structural
reason as to why these incompatibilities exist. Within the notion of
the implicate order, a structural reason emerges and provides a new
way of searching for explanations."[112]
Hiley has worked with
O ( Δ t 2 ) displaystyle O(Delta t^ 2 ) , which means that a continuously observed particle behaves
classically and furthermore that the quantum trajectory converges to a
classical trajectory if the quantum potential decreases with
time.[115]
Later in 2011, for the first time experimental results were published
that showed paths that display the properties expected for Bohm
trajectories. More specifically, photon trajectories were observed by
means of weak measurements in a double-slit interferometer, and these
trajectories displayed the qualitative features that had been
predicted ten years earlier by
"Our proposal is that in the brain there is a manifest (or physical) side and a subtle (or mental) side acting at various levels. At each level, we can regard one side the manifest or material side, while the other is regarded as subtle or mental side. The material side involves electrochemical processes of various kinds, it involves neuron activity and so on. The mental side involves the subtle or virtual activities that can be actualised by active information mediating between the two sides. These sides […] are two aspects of the same process. […] what is subtle at one level can become what is manifest at the next level and so on. In other words if we look at the mental side, this too can be divided into a relatively stable and manifest side and a yet more subtle side. Thus there is no real division between what is manifest and what is subtle and in consequence there is no real division between mind and matter".[143] In this context, Hiley spoke of his aim of finding "an algebraic
description of those aspects of this implicate order where mind and
matter have their origins".[144]
Hiley also worked with biologist
Overview articles B. J. Hiley. "The Algebraic Way". Pre-print 1602.06071 (submitted 19 February 2016) B. J. Hiley. "Aspects of Algebraic Quantum Theory: a Tribute to Hans Primas". Pre-print arXiv:1602.06077 (submitted 19 February 2016) B. J. Hiley. "Bohmian Non-commutative Dynamics: History and New Developments". Pre-print arXiv:1303.6057 (submitted 25 March 2013) B. J. Hiley: Particles, fields, and observers. In: Baltimore, D., Dulbecco, R., Jacob, F., Levi-Montalcini, R. (eds.) Frontiers of Life, vol. 1, pp. 89–106. Academic Press, New York (2002) Books David Bohm, Basil Hiley: The Undivided Universe: An Ontological
Interpretation of Quantum Theory, Routledge, 1993,
ISBN 0-415-06588-7
Other Foreword to: "The Principles of Newtonian and Quantum Mechanics –
The Need for Planck's Constant, h" by Maurice A. de Gosson, Imperial
College Press, World Scientific Publishing, 2001,
ISBN 1-86094-274-1
Foreword to the 1996 edition of: "The
References[edit] ^ Basil Hiley, website of Maurice A. de Gosson, 2005, accessed on 1
September 2012
^ Olival Freire, Jr.: Continuity and change: charting David Bohm's
evolving ideas on quantum mechanics, In: Décio Krause, Antonio
Videira (eds.): Brazilian Studies in the Philosophy and History of
Science, Boston Studies in the Philosophy of Science, Springer,
ISBN 978-90-481-9421-6, pp.291–300, therein p. 296–297
^ a b c Interview with
Further reading[edit] William Seager, Classical Levels, Russellian Monism and the Implicate Order. Foundations of Physics, April 2013, Volume 43, Issue 4, pp. 548–567. External links[edit] Basil Hiley,
Basil J. Hiley & authors bios, Google Books Hidden variables doi:10.1007/978-3-540-70626-7_88 Pilot waves doi:10.1007/978-3-540-70626-7_145 Interviews with Basil Hiley: The measurement problem in physics, In Our Time, BBC Radio 4, a
discussion with
Lecture slides by Basil Hiley: Weak measurements: A new type of quantum measurement and its
experimental implications (slides)
Moyal and
Lectures by
7-7-2004, 10-7-2004, 29-6-2005, 9-7-2006, 5-7-2007, 25-7-2008, 27-7-2008, 23-7-2009, 26-7-2009 Authority control WorldCat Identities VIAF: 73931603 LCCN: n85313967 ISNI: 0000 0001 1070 7673 SUDOC: 083924280 BNF: cb12371153h (data) SN |