We all laughed when Alan Sokal wrote a deliberately silly
paper entitled "Transgressing the Boundaries: Towards a
Transformative Hermeneutics of Quantum Gravity", and managed
to get it accepted by a refereed journal of social and cultural
studies, Social Text.
But now I hear that two brothers have managed to publish 3
meaningless papers in physics journals as a hoax - and even
get Ph.D. degrees in physics from Bourgogne University in
the process! The theses are available in PDF format online,
at least for now:
Igor Bogdanov
ETAT TOPOLOGIQUE DE L'ESPACE TEMPS A ECHELLE 0
http://tel.ccsd.cnrs.fr/documents/archives0/00/00/15/03/index_fr.html
Grichka Bogdanov
FLUCTUATIONS QUANTIQUES DE LA SIGNATURE DE LA METRIQUE A L'ECHELLE DE PLANCK
(Quantum fluctuations of the signature of the metric at the Planck scale)
http://tel.ccsd.cnrs.fr/documents/archives0/00/00/15/02/index_fr.html
They have also published at least four papers based on their
theses:
Grichka Bogdanov and Igor Bogdanov,
Topological field theory of the initial singularity of spacetime,
Classical and Quantum Gravity 18 (2001), 4341-4372.
Grichka Bogdanov and Igor Bogdanov,
Spacetime Metric and the KMS Condition at the Planck Scale,
Annals of Physics, 295 (2002), 90-97.
Grichka Bogdanov and Igor Bogdanov,
KMS space-time at the Planck scale,
Nuovo Cimento, 117B (2002) 417-424.
Igor Bogdanov,
Topological origin of inertia,
Czechoslovak Journal of Physics, 51 (2001), 1153-1236.
Here's the abstract of Igor Bogdanov's thesis:
We propose in this research a new solution regarding the existence
and the content of the initial spacetime singularity. In the context
of topological field theory we consider that the initial singularity
of space-time corresponds to a zero size singular gravitational instanton
characterized by a Riemannian metric configuration (++++) in dimension
D = 4. Connected with some unexpected topological data corresponding
to the zero scale of space-time, the initial singularity is thus not
considered in terms of divergences of physical fields but can be resolved
in the frame of topological field theory. We get this result from the
physical observation that the pre-spacetime is in a thermal equilibrium
at the Planck scale. Therefore it should be subject to the KMS condition.
We consequently consider that this KMS state might correspond to a
unification between "physical state" (Planck scale) and "topological
state" (zero scale). Then it is suggested that the "zero scale singularity"
can be understood in terms of topological invariants, in particular the
first Donaldson invariant. Therefore, we here introduce a new topological
index, connected with 0 scale, of the form Z_{beta = 0} = Tr (-1)^s,
which we call the "singularity invariant". Interestingly, this invariant
corresponds also to the invariant topological current yielded by the
hyperfinite II* von Neumann algebra describing the zero scale of space-time.
In such a context we conjecture that the problem of inertial interaction
might be explained in terms of topological amplitude connected with the
singular zero size gravitational instanton corresponding to the initial
singularity of spacetime.
His thesis director was Daniel Sternheimer, and the "rapporteuers"
were Roman Jackiw of MIT, and Jack Morava of John Hopkins.
Here's the abstract of Grichka Bogdanov's thesis:
We propose hereafter that the signature of the Space-Time metric
(+++-) is not anymore frozen at the Planck scale and presents quantum
fluctuations (++++/-) until 0 scale where it becomes Euclidean (++++).
(i) At the albraic level we suggest an oscillation path (3,1) (4,0)
excluding (2,2). We built the quotient topological space describing
the superposition of the Lorentzian and the Riemanian metrics. In
terms of quantum groups we evidence a relation between q-deformation
and deformation of the signature. We have obtained a new algebraic
construction (a new cocycle bicrossproducts by twisting) which allowed
us to unify the Lorentzian and the Euclidean signatures within a
unique quantum group structure. Moreover the q-deformation of space-time
shows that the natural structures of q-Minkowski and q-Riemanian spaces
are linked by semiduality. (ii) Regarding the physical motivations we
suggest that at the Planck Scale the Space-Time is in KMS state. Within
the limits of the KMS holomorph strip, the beta timelike parameter is
complex. We propose an extension of relativistic gravity which begins
at the Planck Scale with the Lagrangian R + R2 + RR*. Then, the infrared
limit of the theory is given at the Planck Scale by the Einstein term
in R and corresponds to the Lorentzian metric while the ultraviolet
limit is given at beta=0 scale by the topological term RR* and corresponds
to the Euclidean metric ( topological sector). We propose a duality
between instantons and monopoles in 4 dimensions giving a representation
of the superposition of the metrics. (iii) On the cosmological plan
we suggest to describe the Initial Singularity of Space Time by a
topological invariant I(S) = Tr(-1)^S which is analog to the first
Donaldson invariant. The initial singularity must be considered as
a singular 0-size gravitational instanton. The physical observables
are therefore replaced by cycles of homology in the moduli space of
gravitational Instantons. We propose a conjecture regarding the
existence of a topological amplitude associated to a "topological
expansion phase" which preceeds the classical cosmological
expansion. This topological phase is also able to be described
by the flow of weights of the II* hyperfinite factor type
corresponding to the beta=0 initial singularity.
His thesis director was Daniel Sternheimer, and the "rapporteuers"
were Shahn Majid of Cambridge University, Costas Kounnas of the Ecole
Normale Superieure, and Dmitiri Gurevitch of Valenciennes University.
Can anyone confirm or disconfirm the rumors I've heard about this?
I hear that Igor and Grichka Bogdanov, journalists and science
fiction writers, both in their late 40's, began by interviewing
a number of prominent French string theorists to master the jargon.
After writing these papers, to prepare the ground for their thesis
defense they spread rumors that they were geniuses and their theses
were a milestone in theoretical physics. For their thesis defense
they rented a hall in the prestigeous Ecole Polytechnique, arranged
a big dinner with the president, invited the TV, ... and passed.
I don't know if these rumors are true. I can however assure you
that the abstracts seem like gibberish to me, even though I know
what most of the buzzwords mean. The journal articles make for
rather strange reading (you can easily get ahold of them, because
they are appended to the PDF files containing the theses). Some
parts almost seem to make sense, but the more carefully you read
them, the less sense they make. Here's the beginning of their
paper "Topological Origin of Inertia":
The phenomenon of inertia - or "pseudo-force" according to E. Mach
[1] - has recently been presented by J. P. Vigier as one of the
"unsolved mysteries of modern physics". Indeed our point of view
is that this important question, which is well formulated in the
context of Mach's principle, cannot be resolved or even understood
in the framework of conventional field theory.
Here we suggest a novel approach, a direct outcome of the topological
field theory proposed by Edward Witten in 1988 [3]. According to
this approach, beyond the interpretation propoosed by Mach, we consider
inertia as a *topological field*, linked to the topological charge
Q = 1 of the "singular zero size gravitational instanton" [4] which,
according to [5], can be identified with the initial singularity of
space-time in the standard model.
It goes on to discuss the relation between N = 2 supergravity,
Donaldson theory, KMS states and the Foucault pendulum experiment,
which "cannot be explained satisfactorily in either classical or
relativistic mechanics". Eventually it concludes that "whatever
the orientation, the plane of oscillation of Foucault's pendulum
is necessarily aligned with the initial singularity marking the
origin of physical space S^3, that of Euclidean space E^4 (described
by the family of instants I_beta of whatever radius beta), and,
finally, that of Lorentzian space-time M^4."
Zounds! =8-0