A large quantity of experimental results is presented in this book. Undoubtedly, it is not easy for the reader to grasp all this. In order to facilitate the perception of the present book’s concept, the author decided to structure this final chapter in the form of a discussion with an interested reader. The reader will pose questions and the author will answer them.

Before proceeding with the discussion, we will briefly enumerate the experimental results the author obtained (the results for the official statistics and the example from R. Feynman’s textbook will not appear here).

EXPERIMENTAL RESULTS

1. Several sequences of “random” numbers with a length of 26 to 160,000 were analyzed – numbers generated using various pieces of independent experimental equipment (Table 0-1).

2. During series RWA1, RWA3, RWA7, RWA8, and RWA9, which involved the batch generation of “random” numbers, rare clusters of self-repetitions were detected in the   S ^ experiment (i) sequences, where   S ^ experiment (i) – the sum of all the numbers in the experiment – the “batches”.

3. During series RWA1 and RWA9, the correctness of probability theory predictions concerning the normalcy of distribution,   S ^ 10 (i), was demonstrated, while during series RWA1, RWA7, and RWA8, the correctness of central limit theorem predictions concerning dispersion magnitude,   S ^ k (i), was demonstrated for quite small k values.

4. During series RWA1, RWA4, RWA7, and RWA8, which involved the batch generation of “random” numbers, very rare fluctuations were detected in the absolute magnitude of the   S ^ experiment (i) sums, where   S ^ experiment (i) – the sum of all the numbers in the experiment – the “batches”.

5. During series RWA1, RWA2, RWA3, RWA6, RWA7, and RWA10, a heavy concentration of instances of the Х-m-X type was detected, where m – the distance between the coincident groups of numbers, Х, where Х = a, ab, abc, abcd, and abcde, during which a, b, c, d, and e – the numbers of the sequences studied.

6. During series RWA1 and RWA7 on small scales, rare concentrated instances of form coincidence of the parallel translation, central symmetry, and axial symmetry types were detected.

7. During series RWA1, RWA3, RWA7, RWA8, RWA9, and RWA10, many types of coincidences were found that demonstrate rare repetitions on scales that had nothing to do with the typical scales of the experiment.

8. During series RWA1, RWA3, RWA7, RWA8, and RWA9, instances of coincidences of groups of numbers with an identical position in the experiment were analyzed. It was found that the coincidences observed can exhibit the property of remembering the position of previous coincidences.

9. It was found that the numbers in series RWA1, RWA3, RWA7, RWA8, and RWA9 participate in large-scale repetitions that encompass almost an entire set. A strange relationship was established between the completion of certain large-scale repetitions and the end of the research.

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