Download Logical and Epistemological Studies in Contemporary Physics by Hüseyin Yilmaz (auth.), Robert S. Cohen, Marx W. Wartofsky PDF

By Hüseyin Yilmaz (auth.), Robert S. Cohen, Marx W. Wartofsky (eds.)

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10) and the consequent c5(x, x') which is not a sharp c5-function but a statistically diffused one. Evidently a further uncertainty (of a statistical kind) above and beyond the usual Heisenberg relations is here implied. -, if we are willing to let Lip to become infinitely large, then we could determine x with arbitrary accuracy. " This in turn seems to imply that no elementary particle, useable as a probe can be heavier than some kinematical or statistical bound, m~ 1/1'1. ;K seems here to be involved.

I have no doubt that this is a valid criticism in the field of sensory phenomena where much of our traditional thinking is tied to mechanism. But I think I will never regret having formulated it because it was essentially in the course of pondering how the human ear could possibly overcome PERCEPTION AND PHILOSOPHY OF SCIENCE 31 the problems of divergence in such a theory that the statistical generalization of the Lorentz frames and the idea of the statistical field theory presented in Appendix 6 were conceived.

Since this would manifest as a fluctuation of pitch (if rapid enough) the sound of such a complex would be heard somewhat wobbly even when it is physically quite stable. 28 HUSEyiN YILMAZ Such phenomena are also observed to exist in the perception of voice pitch 1. It is interesting to point out that these considerations are based entirely on a frequency domain and therefore preserve the place-theory concepts. Somewhat similar constructions can also be advanced on a time-domain basis. For example, when the phases are arranged properly, the complex will exhibit pronounced maxima corresponding to the periodicity pitch (envelope) and this could be extracted by a peak picking mechanism 2 • The difference between the two mechanisms would then be a dependence on phase.

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