Roy Simpson has written his own review of the above book which I'm pleased to guest-post here. He previously guest-reviewed
"The Order of Time" by Carlo Rovelli.
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Review of Philip Ball: Beyond Weird (2018)
By Dr. Roy Simpson, October 2018
This review was requested by Nigel Seel and could be read in conjunction with
his review of this book.
In reviewing a book such as this it is tempting to first review the style and content of
the book, then secondly to add comments concerning one's own view and approach
to these matters.
Having been familiar with the basic equations of quantum mechanics for a long time
I am not able to say for sure whether the book actually requires the prior familiarity
with quantum mechanics suggested in the Seel review. Certainly one has to be
interested in physics and its foundations. The book contains a good introduction to
the structure and key components of quantum mechanics and eventually leads us
towards the questions of interpretation and meaning.
The unusual nature of the formulation of the subject is neatly captured in a chapter
comparing the axioms of quantum mechanics with other physics theories. For
example we have Newton's Laws:
1. Every moving object keeps moving at the same speed if no force is applied to
it. If it is still to begin with, it stays still.
2. If a force is applied to an object it accelerates it in direct proportion to that
force .. .
3. For every force that one body exerts on another, the other body exerts an
equal force back in the opposite direction.
Special Relativity can be presented with similar physically comprehensible (and
experimentally checkable) axioms. By contrast for quantum mechanics we have:
1. For every system, there is a complex Hilbert Space H.
2. States of the system correspond to projection operators onto H.
3. Those things that are observable somehow correspond to eigenprojectors of
Hermitian operators.
4. Isolated systems evolve according to the Schrödinger equation.
Now all physics theories have a mathematical content and even Newtonian
mechanics can be presented using mathematical structures such as symplectic
manifolds, Noetherian moments and differential forms. However Newtonian theory
has a basic physical form as stated above. The issue is: what is the Quantum
equivalent?
Without an answer to that question it can be difficult to be convinced
that the theory has been fully understood, despite the success of the mathematical
formulation. So this situation is deemed philosophically unsatisfactory and also
impedes progress towards reconciling quantum theory with General Relativity
(which also has a physical explanation as well as a successful mathematical form).
The book takes a long look at the most basic interpretation (as these attempts to
connect the mathematics with any physical reality are called) of quantum
mechanics, called the Copenhagen interpretation.
The book then follows with a more cursory and dismissive view of the Bohm-de
Broglie interpretation as an example of a key distinction between such
interpretations: are they
Ontic (the mathematical entities represent real physical
structures in the usual physics sense); or are they
Epistemic (the mathematical
entities describe the observer's knowledge of the – perhaps unknowable – physical
system).
The Copenhagen leans towards the Epistemic, whereas the Bohm is
Ontic. Other interpretations are also discussed by the book such as the very
Epistemic Qbism interpretation and the Ontic GRW and Penrose-Diosi models.
These latter are not just interpretations but are modifications of some of the
mathematics (making a physics explanation easier, in the latter case by invoking
gravity).
There is also a long and useful discussion of “decoherence”. However this
book does not include any mathematics and although that makes the book easier for
some audiences, it does detract from some clarity and rigour in the arguments the
author wishes to make.
Another interpretation dismissively discussed in the book is the Many Worlds
Interpretation. A recent summary of this section is available in an online article by
the author
here.
There are over one dozen interpretations of quantum mechanics and they are not
all discussed in the book. New interpretations appear regularly with an example
“
The Montevideo Interpretation” (which this reviewer has not yet studied). So the
book is not comprehensive in its account of interpretations.
The book gives a long account of the Bell Theorem, which is an experimentally
checked theorem implying the non-locality and non-contextuality of quantum
mechanics. The discussion here is interesting, but this reviewer has uncovered a
recent examination of the Bell Theorem which is more precise about the nature of
the “superluminal effects” involved in the statement of the theorem.
Apparently
there were two forms of Bell's Theorem: a “coarser” form, and 10 years later a more
precise form, which makes clearer what is and is not prohibited by the theorem.
However the book does not discuss this level of distinction, and the possible
consequences.
The book eventually focuses on the idea of an information-based interpretation of
Quantum Mechanics, and recent work related to this. This area of work is largely
stimulated by the subject of Quantum Computation, and the intriguing question as
to whether all of the “engineering” problems in that area are purely engineering
problems and not also some scientific (i.e. quantum interpretational).
Of particular
interest is the idea of “quantum reconstruction” and “information causality”. Here the
attempt is to address the lack of a physics basis by trying to find one in axioms - often based on “information” based ideas. From the present reviewer's perspective
this work is encouraging in the sense that the results may be converging on a class
of invariant mathematical objects that are being studied in 21st century
mathematics.
So overall the book is a good comprehensive account of quantum interpretation
and meaning from an early 21st century perspective, especially as viewed by a
physical-chemist who has a “user” view of quantum mechanics.