1997arXiv (Cornell University)Open access

Multiple Quantization and the Concept of Information

Holger Lyre

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Abstract

The understanding of the meaning of quantization seems to be the main problem in understanding quantum structures. In this paper first the difference between quantized particle vs. radiation fields in the formalism of canonical quantization is discussed. Next von Weizsaecker's concept of ''multiple quantization'' which leads to an understanding of quantization as an iteration of probability theory is explained. Finally a connection between quantization and the idea of a ''general theory of information'' is considered. This brings together semantic information with the different levels of quantization and expresses the philosophical attitude of this paper concerning the interpretation of quantum theory.

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The understanding of the meaning of quantization seems to be the main problem in understanding quantum structures. In this paper first the difference between quantized particle vs. radiation fields in the formalism of canonical quantization is discussed. Next von Weizsaecker's concept of ''multiple quantization'' which leads to an understanding of quantization as an iteration of probability theory is explained. Finally a connection between quantization and the idea of a ''general theory of information'' is considered. This brings together semantic information with the different levels of quantization and expresses the philosophical attitude of this paper concerning the interpretation of quantum theory.

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Available abstract

The understanding of the meaning of quantization seems to be the main problem in understanding quantum structures. In this paper first the difference between quantized particle vs. radiation fields in the formalism of canonical quantization is discussed. Next von Weizsaecker's concept of ''multiple quantization'' which leads to an understanding of quantization as an iteration of probability theory is explained. Finally a connection between quantization and the idea of a ''general theory of information'' is considered. This brings together semantic information with the different levels of quantization and expresses the philosophical attitude of this paper concerning the interpretation of quantum theory.

Key concepts: Quantization (signal processing), Computer science, Algorithm

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