By I. Cotaescu

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There are no constants in H¯ x . The subscript, x, indicates that these structures are contained in x . The other idea introduced here is the use of scaling factors for structures for the different number types. These scale structures are based on the observation (Benioffa, 2011; Benioffb, 2011; Benioffc, 2011) that it is possible to deﬁne, for each number type, structures in which number values are scaled relative to those in the structures shown above. The scaling of number values must be compensated for by scaling of the basic operations and constants in such a way that the scaled structure satisﬁes the relevant set of axioms if and only if the original structure does.

However, any environment is ultimately coupled to the cosmic space, being presently nearly empty and dark. This cosmic boundary condition is the reason that in the end, perhaps with some intermediate steps, the information can escape without any realistic chance for ever coming back. As long as a quantum system is completely isolated, so that not even information can escape, it will remain in its quantum state, comprising all its respective possibilities. Only if a system is no longer isolated, allowing information to escape, which usually will be effected by outgoing photons, a factum can arise.

C. F. v. Weizsäcker – Structure of Physics, Springer, Berlin Zajonc, A. , Wang, L. , Zou,X. Y. and Mandel, L. (1991). Nature 353, 507 22 Advances in Quantum Theory Zeh, H. , (1970). Found. Phys. 1, 69; for a pedagogical introduction see: C. Kiefer, E. Joos, (1998). arXiv:quant-ph/9803052v1 19 Mar Zeh, H. D. (1996), in Editors D. Giulini, E. Joos, C. Kiefer, J. -O. Stamatescu, and H. D. Zeh, Decoherence and Appearance of a Classical World in Quantum Theory, Springer, Berlin, Heidelberg 0 2 Effects on Quantum Physics of the Local Availability of Mathematics and Space Time Dependent Scaling Factors for Number Systems Paul Benioff Physics division, Argonne National Laboratory, Argonne, IL USA 1.