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Herbert Capellmann
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Quantum Theory, similar to Relativity Theory, requires a new concept of space-time, imposed by a universal constant. While velocity of light $c$ not being infinite calls for a redefinition of space-time on large and cosmological scales, quantization of action in terms of a finite, i.e. non vanishing, universal constant $h$ requires a redefinition of space-time on very small scales. Most importantly, the classical notion of time, as one common continuous time variable and nature evolving continuously in time, has to be replaced by an infinite manifold of transition rates for discontinuous quantum transitions. The fundamental laws of quantum physics, commutation relations and quantum equations of motion, resulted from Max Borns recognition of the basic principle of quantum physics: {bf To each change in nature corresponds an integer number of quanta of action}. Action variables may only change by integer values of $h$, requiring all other physical quantities to change by discrete steps, quantum jumps. The mathematical implementation of this principle led to commutation relations and quantum equations of motion. The notion of point in space-time looses its physical significance; quantum uncertainties of time, position, just as any other physical quantity, are necessary consequences of quantization of action.
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The concept of time as used in various applications and interpretations of quantum theory is briefly reviewed.
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