What is in One: Uncertainty quantum and Continuum Hypothesis

Details What is in One: Uncertainty quantum and Continuum Hypothesis What is in One: Uncertainty quantum and Continuum Hypothesis

1998-07-14

arxiv.org/abs/quant-ph/9807035v1

Physics

Quantum Physics

LaTex, 5 pages, no figure

Scientific paper

The concept of measurement is discussed. It is argued that counting process in mathematics is also measurement which requires a basic unit. The idea of scale is put forward. The basic unit itself, which are composed of the infinitesimal of uncertainty quantum, can be regarded as infinite in another scale. Thus infinite, infinitesimal and integer " 1 " are unified. It is proposed that multiplication changes to summation when it is transformed to a larger scale. The Continuum Hypothesis is proved to be correct after a scale transformation.

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