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To: ahhaha who wrote (13537)	4/14/2001 9:49:03 PM
From: ig	Read Replies (1) \| Respond to of 17977

The statistical physics application of Fourier to Boltzmann to Bachelier to Planck to Kolmogorov is the only way to handle these ensembles. Fortunately, but after the fact, the trade action can be measured. When organized under a theory of quantum statistical hydrodynamics taking a Schrodinger form yields stochastic differential equations whose solutions provide the eigenstates of the order flow dynamic. Give me a break! The content of any science is profoundly constrained by the language within which its discourses are formulated; and mainstream Western physical science (since you choose to cite the hydrodynamics model-referent) 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 play a major role in the future mathematics; but much theoretical work remains to be done before this approach can become a concrete tool of progressive transactional praxis. Finally, chaos theory -- which provides our deepest insights into the ubiquitous yet mysterious phenomenon of nonlinearity -- will be central to all future mathematics. Carry this analysis 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branch of physics in which Heisenberg's quantum mechanics and Einstein's general relativity are at once synthesized and superseded.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, 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 has profound implications for the content of a future postmodern and liberatory science of transactional analytica. At every instant and at every possible division, a Trend and any part of a Trend cannot change, since there is no time within an instant for a Trend to change -- assuming, of course, that we define "change" as something which necessarily involves time, rather than the more interesting proposition that time involves change. Anyway, the same is true for the next instant and all instants in time, which (and let us here keep mathematics to a bare minimum), when reckoned by the space-time manifold we have come to know and love as an objective physical reality, makes it 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, transgressing the boundaries towards a transformative hermeneutics of quantum gravity -- and THAT, my friends, is enough of THAT! (...and a tip o' the hat to Dr. Sokal! ;-) ig