Hypernumbers and time operators

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The relation of hypernumbers to time is mathematically developed in terms of hypernumber computation, yielding new results including a time-reversal operator and a corresponding realm of anti(hyper)numbers. Since the combinations of denial of a finite set of rules (the rules for ordinary arithmetic) are also finite, there is consequently a finite set of hypernumber types, even though, of course, the number of hypernumbers is infinite. This finite set of these arithmetic types is defined and listed. Finally, time reversal is seen as a much more profound operation than suggested by the merely superficial analogy of running a cinema film backward, which is merely going from a later to an earlier past. A last section discusses implications and applications.

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论文评审过程:Available online 3 April 2002.

论文官网地址:https://doi.org/10.1016/0096-3003(83)90004-8