Transgressing
the Boundaries
Toward a Transformative Hermeneutics of Quantum Gravity
Transgressing disciplinary
boundaries
{is} a subversive undertaking since it is likely to violate
the sanctuaries of accepted ways of perceiving. Among the most fortified boundaries
have been those between the natural sciences and the humanities.
--Valerie Greenberg, Transgressive Readings (1990, 1)
The struggle for the transformation of ideology into critical science ...proceeds
on the foundation that the critique of all presuppositions of science and ideology
must be the only absolute principle of science.
--Stanley Aronowitz, Science as Power (1988b, 339)
There are many natural scientists, and especially physicists, who continue to
reject the notion that the disciplines concerned with social and cultural criticism
can have anything to contribute, except perhaps peripherally, to their research.
Still less are they receptive to the idea that the very foundations of their
worldview must be revised or rebuilt in the light of such criticism. Rather,
they cling to the dogma imposed by the long post-Enlightenment hegemony over
the Western intellectual outlook, which can be summarized briefly as follows:
that there exists an external world, whose properties are independent of any
individual human being and indeed of humanity as a whole; that these properties
are encoded in "eternal" physical laws; and that human beings can
obtain reliable, albeit imperfect and tentative, knowledge of these laws by
hewing to the', objective" procedures and epistemological strictures prescribed
by the (so-called) scientific method.
But deep conceptual shifts within twentieth-century science have undermined
this Cartesian-Newtonian metaphysics; revisionist studies in the history and
philosophy of science have cast further doubt on its credibility; and, most
recently, feminist and poststructuralist critiques have demystified the substantive
content of mainstream Western scientific practice, revealing the ideology of
domination concealed behind the facade of, "objectivity". It has thus
become increasingly apparent that physical "reality", no less than
social "reality", is at bottom a social and linguistic construct;
that scientific "knowledge", far from being objective, reflects and
encodes the dominant ideologies and power relations of the culture that produced
it; that the truth claims of science are inherently theory-laden and self-referential;
and consequently, that the discourse of the scientific community, for all its
undeniable value, cannot assert a privileged epistemological status with respect
to counter-hegemonic narratives emanating from dissident or marginalized communities.
These themes can be traced, despite some differences of emphasis, in Aronowitz's
analysis of the cultural fabric that produced quantum mechanics; in Ross' discussion
of oppositional discourses in post-quantum science; in Irigaray's and Hayles'
exegeses of gender encoding in fluid mechanics; and in Harding's comprehensive
critique of the gender ideology underlying the natural sciences in general and
physics in particular.
Here my aim is to carry these deep analyses one step farther, by taking account
of recent developments in quantum gravity: the emerging branch of physics in
which Heisenberg's quantum mechanics and Einstein's general relativity are at
once synthesized and superseded. In quantum gravity, as we shall see, the space-time
manifold ceases to exist as an objective physical reality; geometry becomes
relational and contextual; and the foundational conceptual categories of prior
science --among them, existence itself -- become problematized and relativized.
This conceptual revolution, I will argue, has profound implications for the
content of a future post-modem and liberatory science.
My approach will be as follows: First I will review very briefly some of the
philosophical and ideological issues raised by quantum mechanics and by classical
general relativity .Next I will sketch the outlines of the emerging theory of
quantum gravity , and discuss some of the conceptual issues it raises. Finally,
I will comment on the cultural and political implications of these scientific
developments. It should be emphasized that this article is of necessity tentative
and preliminary; I do not pretend to answer all of the questions that I raise.
My aim is, rather, to draw the attention of readers to these important developments
in physical science, and to sketch as best I can their philosophical and political
implications. I have endeavored here to keep mathematics to a bare minimum;
but I have taken care to provide references where interested readers can find
all requisite details.
Quantum Mechanics: Uncertainty, Complementarity, Discontinuity and Interconnectedness
It is not my intention to enter
here into the extensive debate on the conceptual foundations of quantum mechanics.
Suffice it to say that anyone who has seriously studied the equations of quantum
mechanics will assent to Heisenberg's measured (pardon the pun) summary of his
celebrated uncertainty principle:
We can no longer speak of the behavior of the particle independently of the
process observation. As a final consequence, the natural laws formulated mathematically
in quantum theory no longer deal with the elementary particles themselves but
with our knowledge of them. Nor is it any longer possible to ask whether or
not these particles exist in space and time objectively...
When we speak of the picture of nature in the exact science of our age, we do
not mean a picture of nature so much as a picture of our relationships with
nature. Science no longer confronts nature as an objective observer, but sees
itself as an actor in this interplay between man and nature. The scientific
method of analyzing, explaining and classifying has become conscious of its
limitations, which arise out of the fact that by its intervention science alters
and refashions the object of investigation. In other words, method and object
can no longer be separated.
Along the same lines, Niels Bohr wrote:
An independent reality in the ordinary physical sense can ...neither be ascribed
to the phenomena nor to the agencies of observation.
Stanley Aronowitz has convincingly traced this worldview to the crisis of liberal
hegemony in Central Europe in the years prior and subsequent to World War I.
A second important aspect of quantum mechanics is its principle of complementarity
or dialecticism. Is light a particle or a wave? Complementarity "is the
realization that particle and wave behavior are mutually exclusive, yet that
both are necessary for a complete description of all phenomena." More generally,
notes Heisenberg,
The different intuitive pictures which we use to describe atomic systems, although
fully adequate for given experiments, are nevertheless mutually exclusive. Thus,
for instance, the Bohr atom can be described as a small-scale planetary system,
having a central atomic nucleus about which the external electrons revolve.
For other experiments, however, it might be more convenient to imagine that
the atomic nucleus is surrounded by a system of stationary waves whose frequency
is characteristic of the radiation emanating from the atom. Finally, we can
consider the atom chemically. ...Each picture is legitimate when used in the
right place, but the different pictures are contradictory and therefore we call
them mutually complementary.
And once again Bohr:
A complete elucidation of one and the same object may require diverse points
of view which defy a unique description. Indeed, strictly speaking, the conscious
analysis of any concept stands in a relation of exclusion to its immediate application.
This foreshadowing of postmodemist epistemology is by no means coincidental.
The profound connections between complementarity and deconstruction have recently
been elucidated by Froula and Honnerl, and, in great depth, by Plotnitsky .
A third aspect of quantum physics is discontinuity or rupture: as Bohr explained,
[the] essence [of the quantum theory] may be expressed in the so-called quantum
postulate, which attributes to any atomic process an essential discontinuity
, or rather individuality, completely foreign to the classical theories and
symbolized by Planck's quantum of action.
A half-century later, the expression "quantum leap" has so entered
our everyday vocabulary that we are likely to use it without any consciousness
of its origins in physical theory.
Finally, Bell's theorem and its recent generalizations show that an act of observation
here and now can affect not only the object being observed -- as Heisenberg
told us -- but also an object arbitrarily far away (say, on Andromeda galaxy).
This phenomenon --which Einstein termed "spooky" -- imposes a radical
reevaluation of the traditional mechanistic concepts of space, object and causality,
and suggests an alternative worldview in which the universe is characterized
by interconnectedness and (w) holism: what physicist David Bohm has called "implicate
order". New Age interpretations of these insights from quantum physics
have often gone overboard in unwarranted speculation, but the general soundness
of the argument is undeniable. In Bohr's words, "Planck's discovery of
the elementary quantum of action revealed a feature of wholeness inherent in
atomic physics, going far beyond the ancient idea of the limited divisibility
of matter ."
Hermeneutics of Classical General
Relativity
In the Newtonian mechanistic worldview, space and time are distinct and absolute.
In Einstein's special theory of relativity (1905), the distinction between space
and time dissolves: there is only a new unity, four-dimensional space-time,
and the observer's perception of' , space" and' 'time" depends on
her state of motion. In Hermann Minkowski's famous words (1908):
Henceforth space by itself, and time by itself, are doomed to fade away into
mere shadows, and only a kind of union of the two will preserve an independent
reality.
Nevertheless, the underlying geometry of Minkowskian space-time remains absolute.
It is in Einstein's general theory of relativity (1915) that the radical conceptual
break occurs: the space-time geometry becomes contingent and dynamical, encoding
in itself the gravitational field. Mathematically, Einstein breaks with the
tradition dating back to Euclid (and which is inflicted on high-school students
even today!), and employs instead the non-Euclidean geometry developed by Riemann.
Einstein's equations are highly nonlinear, which is why traditionally-trained
mathematicians find them so difficult to solve. Newton's gravitational theory
corresponds to the crude (and conceptually misleading) truncation of Einstein's
equations in which the non-linearity is simply ignored. Einstein's general relativity
therefore subsumes all the putative successes of Newton's theory, while going
beyond Newton to predict radically new phenomena that arise directly from the
non-linearity: the bending of starlight by the sun, the precession of the perihelion
of Mercury, and the gravitational collapse of stars into black holes.
General relativity is so weird that some of its consequences -- deduced by impeccable
mathematics, and increasingly confirmed by astrophysical observation --read
like science fiction. Black holes are by now well known, and wormholes are beginning
to make the charts. Perhaps less familiar is Godel's construction of an Einstein
space-time admitting closed time-like curves: that is, a universe in which it
is possible to travel into one's own past!
Thus, general relativity forces upon us radically new and counterintuitive notions
of space, time and causality; so it is not surprising that it has had a profound
impact not only on the natural sciences but also on philosophy, literary criticism,
and the human sciences. For example, in a celebrated symposium three decades
ago on Les Langages Critiques et les Sciences de I'Homme, Jean Hyppolite raised
an incisive question about Jacques Derrida's theory of structure and sign in
scientific discourse:
When I take, for example, the structure of certain algebraic constructions [
ensembles ], where is the center? Is the center the knowledge of general rules
which, after a fashion, allow us to understand the interplay of the elements?
Or is the center certain elements which enjoy a particular privilege within
the ensemble? ...With Einstein, for example, we see the end of a kind of privilege
of empiric evidence. And in that connection we see a constant appear, a constant
which is a combination of space-time, which does not belong to any of the experimenters
who live the experience, but which, in a way, dominates the whole construct;
and this notion of the constant --is this the center?
Derrida's perceptive reply went to the heart of classical general relativity:
The Einsteinian constant is not a constant, is not a center. It is the very
concept of variability-it is, finally, the concept of the game. In other words,
it is not the concept of something -- of a center starting from which an observer
could master the field --but the very concept of the game
In mathematical terms, Derrida's observation relates to the invariance of the
Einstein field equation Gmn= 8pGTmn under nonlinear space-time diffeomorphisms
(self-mappings of the space-time manifold which are infinitely differentiable
but not necessarily analytic). The key point is that this invariance group "acts
transitively": this means that any space-time point, if it exists at all,
can be transformed into any other. In this way the infinite-dimensional invariance
group erodes the distinction between observer and observed; the p of Euclid
and the G of Newton, formerly thought to be constant and universal, are now
perceived in their ineluctable historicity; and the putative observer becomes
fatally de-centered, disconnected from any epistemic link to a space-time point
that can no longer be defined by geometry alone.
QUANTUM GRAVITY: STRING, WEAVE
OR MORPHOGENETIC FIELD?
However, this interpretation, while adequate within classical general relativity,
becomes incomplete within the emerging postmodern view of quantum gravity. When
even the gravitational field - geometry incarnate -- becomes a non-commuting
(and hence nonlinear) operator, how can the classical interpretation of Gmn
as a geometric entity be sustained? Now not only the observer, but the very
concept of geometry , becomes relational and contextual.
The synthesis of quantum theory and general relativity is thus the central unsolved
problem of theoretical physics; no one today can predict with confidence what
will be the language and ontology, much less the content, of this synthesis,
when and if it comes. It is, nevertheless, useful to examine historically the
metaphors and imagery that theoretical physicists have employed in their attempts
to understand quantum gravity.
The earliest attempts --dating back to the early 1960's -- to visualize geometry
on the Planck scale (about 10¯³³ centimeters) portrayed it as
"space-time foam": bubbles of space-time curvature, sharing a complex
and ever-changing topology of interconnections. But physicists were unable to
carry this approach farther, perhaps due to the inadequate development at that
time of topology and manifold theory.
In the 1970's physicists tried an even more conventional approach: simplify
the Einstein equations by pretending that they are almost linear, and then apply
the standard methods of quantum field theory to the thus-oversimplified equations.
But this method, too, failed: it turned out that Einstein's general relativity
is, in technical language, 'perturbatively non-renormalizable". This means
that the strong non-linearities of Einstein's general relativity are intrinsic
to the theory; any attempt to pretend that the non-linearities are weak is simply
self-contradictory. (This is not surprising: the almost-linear approach destroys
the most characteristic features of general relativity , such as black holes.
In the 1980's a very different approach, known as string theory, became popular:
here the fundamental constituents of matter are not point-like particles but
rather tiny (Planck-scale) closed and open strings. In this theory, the space-time
manifold does not exist as an objective physical reality; rather, space-time
is a derived concept, an approximation valid only on large length scales (where
"large" means "much larger than 10¯³³ centimeters"!).
For a while many enthusiasts of string theory thought they were closing in on
a Theory of Everything --modesty is not one of their virtues --and some still
think so. But the mathematical difficulties in string theory are formidable,
and it is far from clear that they will be resolved any time soon.
More recently, a small group of physicists has returned to the full non-linearities
of Einstein's general relativity, and --using a new mathematical symbolism invented
by Abhay Ashtekar -- they have attempted to visualize the structure of the corresponding
quantum theory. The picture they obtain is intriguing: As in string theory,
the space-time manifold is only an approximation valid at large distances, not
an objective reality. At small (Planck -scale) distances, the geometry of space-time
is a weave: a complex interconnection of threads.
Finally, an exciting proposal has been taking shape over the past few years
in the hands of an interdisciplinary collaboration of mathematicians, astrophysicists
and biologists: this is the theory of the morphogenetic field. Since the mid-1980's
evidence has been accumulating that this field, first conceptualized by developmental
biologists, is in fact closely linked to the quantum gravitational field: (a)
it pervades all space; (b) it interacts with all matter and energy, irrespective
of whether or not that matter/energy is magnetically charged; and, most significantly,
(c) it is what is known mathematically as a "symmetric second-rank tensor".
All three properties are characteristic of gravity; and it was proven some years
ago that the only self-consistent nonlinear theory of a symmetric second-rank
tensor field is, at least at low energies, precisely Einstein's general relativity.
Thus, if the evidence for (a), (b) and (c) holds up, we can infer that the morphogenetic
field is the quantum counterpart of Einstein's gravitational field. Until recently
this theory has been ignored or even scorned by the high-energy-physics establishment,
who have traditionally resented the encroachment of biologists (not to mention
humanists) on their "turf'. However, some theoretical physicists have recently
begun to give this theory a second look, and there are good prospects for progress
in the near future.
It is still too soon to say whether string theory, the space-time weave or morphogenetic
fields will be confirmed in the laboratory: the experiments are not easy to
perform. But it is intriguing that all three theories have similar conceptual
characteristics: strong non-linearity, subjective space-time, inexorable flux,
and a stress on the topology of interconnectedness.
DIFFERENTIAL TOPOLOGY AND HOMOLOGY
Unbeknownst to most outsiders, theoretical physics underwent a significant transformation
-- albeit not yet a true Kuhnian paradigm shift -- in the 1970's and 80's: the
traditional tools of mathematical physics (real and complex analysis), which
deal with the space-time manifold only locally, were supplemented by topological
approaches (more precisely, methods from differential topology) that account
for the global (holistic) structure of the universe. This trend was seen in
the analysis of anomalies in gauge theories; in the theory of vortex-mediated
phase transitions; and in string and super-string theories. Numerous books and
review articles on "topology for physicists" were published during
these years.
At about the same time, in the social and psychological sciences Jacques Lacan
pointed out the key role played by differential topology:
This diagram [the Mobius strip] can be considered the basis of a sort of essential
inscription at the origin, in the knot which constitutes the subject. This goes
much further than you may think at first, because you can search for the sort
of surface able to receive such inscriptions. You can perhaps see that the sphere,
that old symbol for totality, is unsuitable. A torus, a Klein bottle, a cross-cut
surface, are able to receive such a cut. And this diversity is very important
as it explains many things about the structure of mental disease. If one can
symbolize the subject by this fundamental cut, in the same way one can show
that a cut on a torus corresponds to the neurotic subject, and on a cross-cut
surface to another sort of mental disease.
As Althusser rightly commented, 'Lacan finally gives Freud's thinking the scientific
concepts that it requires". More recently, Lacan's topologie du sujet has
been applied fruitfully to cinema criticism and to the psychoanalysis of AIDS.
In mathematical terms, Lacan is here pointing out that the first homology group
of the sphere is trivial, while those of the other surfaces are profound; and
this homology is linked with the connectedness or disconnectedness of the surface
after one or more cuts. Furthermore, as Lacan suspected, there is an intimate
connection between the external structure of the physical world and its inner
psychological representation qua knot theory: this hypothesis has recently been
confirmed by Witten's derivation of knot invariants (in particular the Jones
polynomial) from three-dimensional Chern-Simons quantum field theory.
Analogous topological structures arise in quantum gravity, but inasmuch as the
manifolds involved are multidimensional rather than two-dimensional, higher
homology groups play a role as well. These multidimensional manifolds are no
longer amenable to visualization in conventional three-dimensional Cartesian
space: for example, the projective space RP³, which arises from the ordinary
3-sphere by identification of antipodes, would require a Euclidean embedding
space of dimension at least 5. Nevertheless, the higher homology groups can
be perceived, at least approximately, via a suitable multidimensional (nonlinear)
logic.
MANIFOLD THEORY: (W)HOLES AND
BOUNDARIES
Luce Irigaray, in her famous article, " Is the Subject of Science Sexed?",
pointed out that
the mathematical sciences, in the theory of wholes (thearie des ensembles],
concern themselves with closed and open spaces ...They concern themselves very
little with the question of the partially open, with wholes that are not clearly
delineated [ensemblesflaus], with any analysis of the problem of borders [bords]
In 1982, when Irigaray's essay first appeared, this was an incisive criticism:
differential topology has traditionally privileged the study ofwhat are known
technically as "manifolds without boundary". However, in the past
decade, under the impetus of the feminist critique, some mathematicians have
given renewed attention to the theory of' 'manifolds with boundary" [Fr.
varietes a bord]. Perhaps not coincidentally, it is precisely these manifolds
that arise in the new physics of conformal field theory, super-string theory
and quantum gravity.
In string theory, the quantum-mechanical amplitude for the interaction of n
closed or open strings is represented by a functional integral (basically, a
sum) over fields living on a two-dimensional manifold with boundary. In quantum
gravity, we may expect that a similar representation will hold, except that
the two-dimensional manifold with boundary will be replaced by a multidimensional
one. Unfortunately, multidimensionality goes against the grain of conventional
linear mathematical thought, and despite a recent broadening of attitudes (notably
associated with the study of multidimensional nonlinear phenomena in chaos theory),
the theory of multidimensional manifolds with boundary remains somewhat underdeveloped.
Nevertheless, physicists' work on the functional-integral approach to quantum
gravity continues apace, and this work is likely to stimulate the attention
of mathematicians.
As lrigaray anticipated, an important question in all of these theories is:
Can the boundary be transgressed (crossed), and if so, what happens then? Technically
this is known as the problem of "boundary conditions". At a purely
mathematical level, the most salient aspect of boundary conditions is the great
diversity ofpossibilities: for example, "free b.c." (no obstacle to
crossing), "reflecting b.c." (specular reflection as in a mirror),
"periodic b.c." (re-entrance in another part of the manifold), and,
"antiperiodic b.c." (re-entrance with 180° twist). The question
posed by physicists is: Of all these conceivable boundary conditions, which
ones actually occur in the representation of quantum gravity? Or perhaps, do
all of them occur simultaneously and on an equal footing, as suggested by the
complementarity principle?
At this point my summary of developments in physics must stop, for the simple
reason that the answers to these questions --if indeed they have univocal answers
--are not yet known. In the remainder of this essay, I propose to take as my
starting point those features of the theory of quantum gravity which are relatively
well established (at least by the standards of conventional science), and attempt
to draw out their philosophical and political implications.
TRANSGRESSING THE BOUNDARIES;
TOWARDS A LIBERATORY SCIENCE
Over the past two decades there has been extensive discussion among critical
theorists with regard to the characteristics of modernist versus postmodernist
culture; and in recent years these dialogues have begun to devote detailed attention
to the specific problems posed by the natural sciences. In particular, Madsen
and Madsen have recently given a very clear summary of the characteristics of
modernist versus postmodernist science. They posit two criteria for a postmodern
science:
A simple criterion for science to qualify as postmodern is that it be free from
any dependence on the concept of objective truth. By this criterion, for example,
the complementarity interpretation of quantum physics due to Niels Bohr and
the Copenhagen school is seen as postmodernist.
Clearly, quantum gravity is in this respect an archetypal postmodernist science.
Secondly,
the other concept which can be taken as being fundamental to postmodern science
is that of essentiality. Postmodern scientific theories are constructed from
those theoretical elements which are essential for the consistency and utility
of the theory.
Thus, quantities or objects which are in principle unobservable -- such as space-time
points, exact particle positions, or quarks and gluons --ought not to be introduced
into the theory. While much of modem physics is excluded by this criterion,
quantum gravity again qualifies: in the passage from classical general relativity
to the quantized theory, space-time points (and indeed the space-time manifold
itself) have disappeared from the theory.
However, these criteria, admirable as they are, are insufficient for a liberatory
postmodern science: they liberate human beings from the tyranny of "absolute
truth" and "objective reality", but not necessarily from the
tyranny of other human beings. In Andrew Ross' words, we need a science "that
will be publicly answerable and of some service to progressive interests."
From a feminist standpoint, Kelly Oliver makes a similar argument:
...in order to be revolutionary, feminist theory cannot claim to describe what
exists, or, "natural facts." Rather, feminist theories should be political
tools, strategies for overcoming oppression in specific concrete situations.
The goal, then, of feminist theory, should be to develop strategic theories
--not true theories, not false theories, but strategic theories.
How, then, is this to be done?
In what follows, I would like to discuss the outlines of a liberatory postmodern
science on two levels: first, with regard to general themes and attitudes; and
second, with regard to political goals and strategies.
One characteristic of the emerging postmodern science is its stress on non-linearity
and discontinuity: this is evident, for example, in chaos theory and the theory
of phase transitions as well as in quantum gravity. At the same time, feminist
thinkers have pointed out the need for an adequate analysis of fluidity, in
particular turbulent fluidity. These two themes are not as contradictory as
it might at first appear: turbulence connects with strong non-linearity, and
smoothness/fluidity is sometimes associated with discontinuity (e.g. in catastrophe
theory); so a synthesis is by no means out of the question.
Secondly, the postmodern sciences deconstruct and transcend the Cartesian metaphysical
distinctions between humankind and Nature, observer and observed, Subject and
Object. Already quantum mechanics, earlier in this century, shattered the ingenuous
Newtonian faith in an objective, pre-linguistic world of material objects "out
there"; no longer could we ask, as Heisenberg put it, whether "particles
exist in space and time objectively". But Heisenberg's formulation still
presupposes the objective existence of space and time as the neutral, unproblematic
arena in which quantized particle-waves interact (albeit indeterministically);
and it is precisely this would-be arena that quantum gravity problematizes.
Just as quantum mechanics informs us that the position and momentum of a particle
are brought into being only by the act of observation, so quantum gravity informs
us that space and time themselves are contextual, their meaning defined only
relative to the mode of observation.
Thirdly, the postmodern sciences overthrow the static ontological categories
and hierarchies characteristic of modernist science. In place of atomism and
reductionism, the new sciences stress the dynamic web of relationships between
the whole and the part; in place of fixed individual essences (e.g. Newtonian
particles), they conceptualize interactions and flows (e.g. quantum fields).
Intriguingly, these homologous features arise in numerous seemingly disparate
areas of science, from quantum gravity to chaos theory to the biophysics of
self-organizing systems. In this way, the postmodern sciences appear to be converging
on a new epistemological paradigm, one that may be termed an ecological perspective,
broadly understood as', recognizing the fundamental interdependence of all phenomena
and the embeddedness of individuals and societies in the cyclical patterns of
nature. "
A fourth aspect of postmodern science is its self-conscious stress on symbolism
and representation. As Robert Markley points out, the postmodem sciences are
increasingly transgressing disciplinary boundaries, taking on characteristics
that had heretofore been the province of the humanities:
Quantum physics, hadron bootstrap theory, complex number theory, and chaos theory
share the basic assumption that reality cannot be described in linear terms,
that nonlinear -and unsolvable -- equations are the only means possible to describe
a complex, chaotic, and non-deterministic reality. These postmodern theories
are --significantly --all metacritical in the sense that they foreground themselves
as metaphors rather than as "accurate" descriptions of reality .In
terms that are more familiar to literary theorists than to theoretical physicists,
we might say that these attempts by scientists to develop new strategies of
description represent notes towards a theory of theories, of how representation
-- mathematical, experimental, and verbal -- is inherently complex and problematizing,
not a solution but part of the semiotics of investigating the universe.
From a different starting point, Aronowitz likewise suggests that a liberatory
science may arise from interdisciplinary sharing of epistemologies:
...natural objects are also socially constructed. It is not a question of whether
these natural objects, or, to be more precise, the objects of natural scientific
knowledge, exist independently of the act of knowing. This question is answered
by the assumption of "real" time as opposed to the presupposition,
common among neo- Kantians, that time always has a referent, that temporality
is therefore a relative, not an unconditioned, category. Surely, the earth evolved
long before life on earth. The question is whether objects of natural scientific
knowledge are constituted outside the social field. If this is possible, we
can assume that science or art may develop procedures that effectively neutralize
the effects emanating from the means by which we produce knowledge/art. Performance
art may be such an attempt.
Finally, postmodern science provides a powerful refutation of the authoritarianism
and elitism inherent in traditional science, as well as an empirical basis for
a democratic approach to scientific work. For, as Bohr noted, "a complete
elucidation of one and the same object may require diverse points of view which
defy a unique description" -- this is quite simply a fact about the world,
much as the self-proclaimed empiricists of modernist science might prefer to
deny it. In such a situation, how can a self-perpetuating secular priesthood
of credentialed', scientists" purport to maintain a monopoly on the production
of scientific knowledge? (Let me emphasize that I am in no way opposed to specialized
scientific training; I object only when an elite caste seeks to impose its canon
of "high science", with the aim of excluding a priori alternative
forms of scientific production by non-members.)
The content and methodology of postmodern science thus provide powerful intellectual
support for the progressive political project, understood in its broadest sense:
the transgressing of boundaries, the breaking down of barriers, the radical
democratization of all aspects of social, economic, political and cultural life.
Conversely, one part of this project must involve the construction of a new
and truly progressive science that can serve the needs of such a democratized
society-to-be. As Markley observes, there seem to be two more-or-less mutually
exclusive choices available to the progressive community:
On the one hand, politically progressive scientists can try to recuperate existing
practices for moral values they uphold, arguing that their right-wing enemies
are defacing nature and that they, the counter-movement, have access to the
truth. [But] the state of the biosphere -air pollution, water pollution, disappearing
rain forests, thousands of species on the verge of extinction, large areas of
land burdened far beyond their carrying capacity, nuclear power plants, nuclear
weapons, clear cuts where there used to be forests, starvation, malnutrition,
disappearing wetlands, nonexistent grass lands, and a rash of environmentally
caused diseases --suggests that the realist dream of scientific progress, of
recapturing rather than revolutionizing existing methodologies and technologies,
is, at worst, irrelevant to a political struggle that seeks something more than
a reenactment of state socialism.
The alternative is a profound reconception of science as well as politics:
The dialogical move towards redefining systems, of seeing the world not only
as an ecological whole but as a set of competing systems -- a world held together
by the tensions among various natural and human interests -- offers the possibility
of redefining what science is and what it does, of restructuring deterministic
schemes of scientific education in favor of ongoing dialogues about how we intervene
in our environment.
It goes without saying that postmodernist science unequivocally favors the latter,
deeper approach.
In addition to redefining the content of science, it is imperative to restructure
and redefine the institutional loci in which scientific labor takes place --
universities, government labs, and corporations -- and reframe the reward system
that pushes scientists to become, often against their own better instincts,
the hired guns of capitalists and the military. As Aronowitz has noted, "One
third of the 11,000 physics graduate students in the United States are in the
single sub field of solid state physics, and all of them will be able to get
jobs in that subfield." By contrast, there are few jobs available in either
quantum gravity or environmental physics.
But all this is only a first step: the fundamental goal of any emancipatory
movement must be to demystify and democratize the production of scientific knowledge,
to break down the artificial barriers that separate "scientists" from
"the public". Realistically, this task must start with the younger
generation, through a profound reform of the educational system. The teaching
of science and mathematics must be purged of its authoritarian and elitist characteristics,
and the content of these subjects enriched by incorporating the insights of
the feminist, queer, multiculturalist and ecologica1 critiques.
Finally, the content of any science is profoundly constrained by the language
within which its discourses are formulated; and mainstream Western physical
science has, since Galileo, been formulated in the language of mathematics.
But whose mathematics? The question is a fundamental one, for, as Aronowitz
has observed, "neither logic nor mathematics escapes the 'contamination'
of the social." And as feminist thinkers have repeatedly pointed out, in
the present culture this contamination is overwhelmingly capitalist, patriarchal
and militaristic: "mathematics is portrayed as a woman whose nature desires
to be the conquered Other." Thus, a liberatory science cannot be complete
without a profound revision of the canon of mathematics. As yet no such emancipatory
mathematics exists, and we can only speculate upon its eventual content. We
can see hints of it in the multidimensional and nonlinear logic of fuzzy systems
theory; but this approach is still heavily marked by its origins in the crisis
of late-capitalist production relations. Catastrophe theory, with its dialectical
emphases on smoothness/discontinuity and metamorphosis/unfolding, will indubitably
playa major role in the future mathematics; but much theoretical work remains
to be done before this approach can become a concrete tool of progressive political
praxis. Finally, chaos theory -- which provides our deepest insights into the
ubiquitous yet mysterious phenomenon of non-linearity -- will be central to
all future mathematics.
And yet, these images of the future mathematics must remain but the haziest
glimmer: for, alongside these three young branches in the tree of science, there
will arise new trunks and branches -- entire new theoretical frameworks -- of
which we, with our present ideological blinders, cannot yet even conceive.
(NOTE: The above article then proceeds to list 300+ works/books cited, which ran about 12 pages, only to find another 18 pages of notes pertaining to numbered references that the web-editor did not wish to print. Reference numbers 1 - 109 removed from article above. For a complete list of works cited and numbered references visit here.
Transgressing the Boundaries is a hoax article submitted and
printed in Social Text No. 46/47. Apparently no one was learned enough in Quantum
Physics at Social Text to know this article was complete bunko-gibberish. Good
work, Alan! A Cultural Terrorist without even knowing it.