1...metaphysics
Heisenberg (1958), Bohr (1963).

2...credibility
Kuhn (1970), Feyerabend (1975), Latour (1987), Aronowitz (1988b), Bloor (1991).

3...``objectivity''.
Merchant (1980), Keller (1985), Harding (1986,1991), Haraway (1989,1991), Best (1991).

4...mechanics
Aronowitz (1988b, especially chaps. 9 and 12).

5...science
Ross (1991, introduction and chap. 1).

6...mechanics
Irigaray (1985), Hayles (1992).
7...particular.
Harding (1986, especially chaps. 2 and 10); Harding (1991, especially chap. 4).

8...mechanics.
For a sampling of views, see Jammer (1974), Bell (1987), Albert (1992), Dürr, Goldstein and Zanghí (1992), Weinberg (1992, chap. IV), Coleman (1993), diary Maudlin (1994), Bricmont (1994).

9...separated.
Heisenberg (1958, 15, 28-29), emphasis in Heisenberg's original. See also Overstreet (1980), Craige (1982), Hayles (1984), Greenberg (1990), Booker (1990) and Porter (1990) for examples of cross-fertilization of ideas between relativistic quantum theory and literary criticism.

10...separated.
Unfortunately, Heisenberg's uncertainty principle has frequently been misinterpreted by amateur philosophers. As Gilles Deleuze and Félix Guattari (1994, 129-130) lucidly point out,
in quantum physics, Heisenberg's demon does not express the impossibility of measuring both the speed and the position of a particle on the grounds of a subjective interference of the measure with the measured, but it measures exactly an objective state of affairs that leaves the respective position of two of its particles outside of the field of its actualization, the number of independent variables being reduced and the values of the coordinates having the same probability. ...Perspectivism, or scientific relativism, is never relative to a subject: it constitutes not a relativity of truth but, on the contrary, a truth of the relative, that is to say, of variables whose cases it orders according to the values it extracts from them in its system of coordinates ...

11...observation.
Bohr (1928), cited in Pais (1991, 314).
12...I.
Aronowitz (1988b, 251-256).

13...I.
See also Porush (1989) for a fascinating account of how a second group of scientists and engineers - cyberneticists - contrived, with considerable success, to subvert the most revolutionary implications of quantum physics. The main limitation of Porush's critique is that it remains solely on a cultural and philosophical plane; his conclusions would be immeasurably strengthened by an analysis of economic and political factors. (For example, Porush fails to mention that engineer-cyberneticist Claude Shannon worked for the then-telephone monopoly AT&T.) A careful analysis would show, I think, that the victory of cybernetics over quantum physics in the 1940's and 50's can be explained in large part by the centrality of cybernetics to the ongoing capitalist drive for automation of industrial production, compared to the marginal industrial relevance of quantum mechanics.

14...phenomena.''
Pais (1991, 23). Aronowitz (1981, 28) has noted that wave-particle duality renders the ``will to totality in modern science'' severely problematic:
The differences within physics between wave and particle theories of matter, the indeterminacy principle discovered by Heisenberg, Einstein's relativity theory, all are accommodations to the impossibility of arriving at a unified field theory, one in which the ``anomaly'' of difference for a theory which posits identity may be resolved without challenging the presuppositions of science itself.
For further development of these ideas, see Aronowitz (1988a, 524-525, 533).

15...complementary.
Heisenberg (1958, 40-41).
16...application.
Bohr (1934), cited in Jammer (1974, 102). Bohr's analysis of the complementarity principle also led him to a social outlook which was, for its time and place, notably progressive. Consider the following excerpt from a 1938 lecture (Bohr 1958, 30):
I may perhaps here remind you of the extent to which in certain societies the roles of men and women are reversed, not only regarding domestic and social duties but also regarding behaviour and mentality. Even if many of us, in such a situation, might perhaps at first shrink from admitting the possibility that it is entirely a caprice of fate that the people concerned have their specific culture and not ours, and we not theirs instead of our own, it is clear that even the slightest suspicion in this respect implies a betrayal of the national complacency inherent in any human culture resting in itself.

17...Froula
Froula (1985).
18...Honner
Honner (1994).
19...Plotnitsky.
Plotnitsky (1994). This impressive work also explains the intimate connections with Gödel's proof of the incompleteness of formal systems and with Skolem's construction of nonstandard models of arithmetic, as well as with Bataille's general economy. For further discussion of Bataille's physics, see Hochroth (1995).

20...Plotnitsky.
Numerous other examples could be adduced. For instance, Barbara Johnson (1989, 12) makes no specific reference to quantum physics; but her description of deconstruction is an eerily exact summary of the complementarity principle:
Instead of a simple ``either/or'' structure, deconstruction attempts to elaborate a discourse that says neither ``either/or'', nor ``both/and'' nor even ``neither/nor'', while at the same time not totally abandoning these logics either.
See also McCarthy (1992) for a thought-provoking analysis that raises disturbing questions about the ``complicity'' between (nonrelativistic) quantum physics and deconstruction.

21...Plotnitsky.
Permit me in this regard a personal recollection: Fifteen years ago, when I was a graduate student, my research in relativistic quantum field theory led me to an approach which I called ``de[con]structive quantum field theory'' (Sokal 1982). Of course, at that time I was completely ignorant of Jacques Derrida's work on deconstruction in philosophy and literary theory. In retrospect, however, there is a striking affinity: my work can be read as an exploration of how the orthodox discourse (e.g. Itzykson and Zuber 1980) on scalar quantum field theory in four-dimensional space-time (in technical terms, ``renormalized perturbation theory'' for the tex2html_wrap_inline1385 theory) can be seen to assert its own unreliability and thereby to undermine its own affirmations. Since then, my work has shifted to other questions, mostly connected with phase transitions; but subtle homologies between the two fields can be discerned, notably the theme of discontinuity (see Notes 22 and 81 below). For further examples of deconstruction in quantum field theory, see Merz and Knorr Cetina (1994). line.

22...action.
Bohr (1928), cited in Jammer (1974, 90).

23...theorem
Bell (1987, especially chaps. 10 and 16). See also Maudlin (1994, chap. 1) for a clear account presupposing no specialized knowledge beyond high-school algebra.

24...generalizations
Greenberger et al. (1989,1990), Mermin (1990,1993).

25...causality
Aronowitz (1988b, 331) has made a provocative observation concerning nonlinear causality in quantum mechanics and its relation to the social construction of time:
Linear causality assumes that the relation of cause and effect can be expressed as a function of temporal succession. Owing to recent developments in quantum mechanics, we can postulate that it is possible to know the effects of absent causes; that is, speaking metaphorically, effects may anticipate causes so that our perception of them may precede the physical occurrence of a ``cause.'' The hypothesis that challenges our conventional conception of linear time and causality and that asserts the possibility of time's reversal also raises the question of the degree to which the concept of ``time's arrow'' is inherent in all scientific theory. If these experiments are successful, the conclusions about the way time as ``clock-time'' has been constituted historically will be open to question. We will have ``proved'' by means of experiment what has long been suspected by philosophers, literary and social critics: that time is, in part, a conventional construction, its segmentation into hours and minutes a product of the need for industrial discipline, for rational organization of social labor in the early bourgeois epoch.
The theoretical analyses of Greenberger et al. (1989,1990) and Mermin (1990,1993) provide a striking example of this phenomenon; see Maudlin (1994) for a detailed analysis of the implications for concepts of causality and temporality. An experimental test, extending the work of Aspect et al. (1982), will likely be forthcoming within the next few years.

26...order''.
Bohm (1980). The intimate relations between quantum mechanics and the mind-body problem are discussed in Goldstein (1983, chaps. 7 and 8). line.

27...undeniable.
Among the voluminous literature, the book by Capra (1975) can be recommended for its scientific accuracy and its accessibility to non-specialists. In addition, the book by Sheldrake (1981), while occasionally speculative, is in general sound. For a sympathetic but critical analysis of New Age theories, see Ross (1991, chap. 1). For a critique of Capra's work from a Third World perspective, see Alvares (1992, chap. 6).

28...matter.''
Bohr (1963, 2), emphasis in Bohr's original.

29...absolute.
Newtonian atomism treats particles as hyperseparated in space and time, backgrounding their interconnectedness (Plumwood 1993a, 125); indeed, ``the only `force' allowed within the mechanistic framework is that of kinetic energy - the energy of motion by contact - all other purported forces, including action at a distance, being regarded as occult'' (Mathews 1991, 17). For critical analyses of the Newtonian mechanistic worldview, see Weil (1968, especially chap. 1), Merchant (1980), Berman (1981), Keller (1985, chaps. 2 and 3), Mathews (1991, chap. 1) and Plumwood (1993a, chap. 5).

30...motion.
According to the traditional textbook account, special relativity is concerned with the coordinate transformations relating two frames of reference in uniform relative motion. But this is a misleading oversimplification, as Latour (1988) has pointed out:
How can one decide whether an observation made in a train about the behaviour of a falling stone can be made to coincide with the observation made of the same falling stone from the embankment? If there are only one, or even two, frames of reference, no solution can be found since the man in the train claims he observes a straight line and the man on the embankment a parabola. ...

Einstein's solution is to consider three actors: one in the train, one on the embankment and a third one, the author [enunciator] or one of its representants, who tries to superimpose the coded observations sent back by the two others. ...

[W]ithout the enunciator's position (hidden in Einstein's account), and without the notion of centres of calculation, Einstein's own technical argument is ununderstandable ...

[pp. 10-11 and 35, emphasis in original]

In the end, as Latour wittily but accurately observes, special relativity boils down to the proposition that
more frames of reference with less privilege can be accessed, reduced, accumulated and combined, observers can be delegated to a few more places in the infinitely large (the cosmos) and the infinitely small (electrons), and the readings they send will be understandable. His [Einstein's] book could well be titled: `New Instructions for Bringing Back Long-Distance Scientific Travellers'. [pp. 22-23]
Latour's critical analysis of Einstein's logic provides an eminently accessible introduction to special relativity for non-scientists.

31...reality.
Minkowski (1908), translated in Lorentz et al. (1952, 75).

32...absolute.
It goes without saying that special relativity proposes new concepts not only of space and time but also of mechanics. In special relativity, as Virilio (1991, 136) has noted, ``the dromospheric space, space-speed, is physically described by what is called the `logistic equation,' the result of the product of the mass displaced by the speed of its displacement, MxV.'' This radical alteration of the Newtonian formula has profound consequences, particularly in the quantum theory; see Lorentz et al. (1952) and Weinberg (1992) for further discussion.

33...solve.
Steven Best (1991, 225) has put his finger on the crux of the difficulty, which is that ``unlike the linear equations used in Newtonian and even quantum mechanics, non-linear equations do [not] have the simple additive property whereby chains of solutions can be constructed out of simple, independent parts''. For this reason, the strategies of atomization, reductionism and context-stripping that underlie the Newtonian scientific methodology simply do not work in general relativity.

34...past!
Gödel (1949). For a summary of recent work in this area, see 't Hooft (1993).
35...causality
These new notions of space, time and causality are in part foreshadowed already in special relativity. Thus, Alexander Argyros (1991, 137) has noted that
in a universe dominated by photons, gravitons, and neutrinos, that is, in the very early universe, the theory of special relativity suggests that any distinction between before and after is impossible. For a particle traveling at the speed of light, or one traversing a distance that is in the order of the Planck length, all events are simultaneous.
However, I cannot agree with Argyros' conclusion that Derridean deconstruction is therefore inapplicable to the hermeneutics of early-universe cosmology: Argyros' argument to this effect is based on an impermissibly totalizing use of special relativity (in technical terms, ``light-cone coordinates'') in a context where general relativity is inescapable. (For a similar but less innocent error, see Note 40 below.)

36...causality
Jean-François Lyotard (1989, 5-6) has pointed out that not only general relativity, but also modern elementary-particle physics, imposes new notions of time:
In contemporary physics and astrophysics ...a particle has a sort of elementary memory and consequently a temporal filter. This is why contemporary physicists tend to think that time emanates from matter itself, and that it is not an entity outside or inside the universe whose function it would be to gather all different times into universal history. It is only in certain regions that such - only partial - syntheses could be detected. There would on this view be areas of determinism where complexity is increasing.
Furthermore, Michel Serres (1992, 89-91) has noted that chaos theory (Gleick 1987) and percolation theory (Stauffer 1985) have contested the traditional linear concept of time:
Time does not always flow along a line ...or a plane, but along an extraordinarily complex manifold, as if it showed stopping points, ruptures, sinks [puits], funnels of overwhelming acceleration [cheminées d'accélération foudroyante], rips, lacunae, all sown randomly ...

Time flows in a turbulent and chaotic manner; it percolates. [Translation mine. Note that in the theory of dynamical systems, ``puits'' is a technical term meaning ``sink'', i.e. the opposite of ``source''.]

These multiple insights into the nature of time, provided by different branches of physics, are a further illustration of the complementarity principle.

37...causality
General relativity can arguably be read as corroborating the Nietzschean deconstruction of causality (see e.g. Culler 1982, 86-88), although some relativists find this interpretation problematic. In quantum mechanics, by contrast, this phenomenon is rather firmly established (see Note 25 above).

38...causality
General relativity is also, of course, the starting point for contemporary astrophysics and physical cosmology. See Mathews (1991, 59-90, 109-116, 142-163) for a detailed analysis of the connections between general relativity (and its generalizations called ``geometrodynamics'') and an ecological worldview. For an astrophysicist's speculations along similar lines, see Primack and Abrams (1995).

39...center?
Discussion to Derrida (1970, 265-266).
40......
Derrida (1970, 267).

Right-wing critics Gross and Levitt (1994, 79) have ridiculed this statement, willfully misinterpreting it as an assertion about special relativity, in which the Einsteinian constant c (the speed of light in vacuum) is of course constant. No reader conversant with modern physics - except an ideologically biased one - could fail to understand Derrida's unequivocal reference to general relativity.

41...physics
Luce Irigaray (1987, 77-78) has pointed out that the contradictions between quantum theory and field theory are in fact the culmination of a historical process that began with Newtonian mechanics:
The Newtonian break has ushered scientific enterprise into a world where sense perception is worth little, a world which can lead to the annihilation of the very stakes of physics' object: the matter (whatever the predicates) of the universe and of the bodies that constitute it. In this very science, moreover [d'ailleurs], cleavages exist: quantum theory/field theory, mechanics of solids/dynamics of fluids, for example. But the imperceptibility of the matter under study often brings with it the paradoxical privilege of solidity in discoveries and a delay, even an abandoning of the analysis of the infinity [l'in-fini] of the fields of force.
I have here corrected the translation of ``d'ailleurs'', which means ``moreover'' or ``besides'' (not ``however'').

42...interconnections.
Wheeler (1964).

43...nonrenormalizable''.
Isham (1991, sec. 3.1.4).

44...strings.
Green, Schwarz and Witten (1987).
45...theory.
Ashtekar, Rovelli and Smolin (1992), Smolin (1992).

46...field.
Sheldrake (1981,1991), Briggs and Peat (1984, chap. 4), Granero-Porati and Porati (1984), Kazarinoff (1985), Schiffmann (1989), Psarev (1990), Brooks and Castor (1990), Heinonen, Kilpeläinen and Martio (1992), Rensing (1993). For an in-depth treatment of the mathematical background to this theory, see Thom (1975,1990); and for a brief but insightful analysis of the philosophical underpinnings of this and related approaches, see Ross (1991, 40-42, 253n).

47...biologists
Waddington (1965), Corner (1966), Gierer et al. (1978).

48...field
Some early workers thought that the morphogenetic field might be related to the electromagnetic field, but it is now understood that this is merely a suggestive analogy: see Sheldrake (1981, 77, 90) for a clear exposition. Note also point (b) below.

49...relativity.
Boulware and Deser (1975).
50...``turf''.
For another example of the ``turf'' effect, see Chomsky (1979, 6-7).

51...future.
To be fair to the high-energy-physics establishment, I should mention that there is also an honest intellectual reason for their opposition to this theory: inasmuch as it posits a subquantum interaction linking patterns throughout the universe, it is, in physicists' terminology, a ``non-local field theory''. Now, the history of classical theoretical physics since the early 1800's, from Maxwell's electrodynamics to Einstein's general relativity, can be read in a very deep sense as a trend away from action-at-a-distance theories and towards local field theories: in technical terms, theories expressible by partial differential equations (Einstein and Infeld 1961, Hayles 1984). So a non-local field theory definitely goes against the grain. On the other hand, as Bell (1987) and others have convincingly argued, the key property of quantum mechanics is precisely its non-locality, as expressed in Bell's theorem and its generalizations (see Notes 23 and 24 above). Therefore, a non-local field theory, although jarring to physicists' classical intuition, is not only natural but in fact preferred (and possibly even mandatory?) in the quantum context. This is why classical general relativity is a local field theory, while quantum gravity (whether string, weave or morphogenetic field) is inherently non-lo>

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