P-Adic Length Scale Hypothesis
Authors: Matti Pitkänen
The book is devoted to the applications of p-adic length scale hypothesis and dark matter hierarchy.
- p-Adic length scale hypothesis states that primes p≈ 2k, k integer, in particular prime, define preferred p-adic length scales. Physical arguments supporting this hypothesis are based on the generalization of Hawking's area law for blackhole entropy so that it applies in case of elementary particles.
- A much deeper number theory based justification for this hypothesis is based on the generalization of the number concept fusing real number fields and p-adic number fields among common rationals or numbers in their non-trivial algebraic extensions. This approach also justifies the notion of multi-p-fractality and allows to understand scaling law in terms of simultaneous p≈ 2k- and 2-fractality.
- Certain anomalous empirical findings inspire in TGD framework the hypothesis about the existence of entire hierarchy of phases of matter identifiable as dark matter. The levels of dark matter hierarchy are labeled by the values of dynamical quantized Planck constant. The justification for the hypothesis provided by quantum classical correspondence and the fact the sizes of space-time sheets identifiable as quantum coherence regions can be arbitrarily large.
The organization of the book is following.
- The first part of the book is devoted to the description of elementary particle massivation in terms of p-adic thermodynamics.
- In second part is devoted to the detailed calculation of masses of elementary particles and hadrons, and to various new physics suggested or predicted by the resulting scenario.
Comments: 592 Pages.
Download: PDF
Submission history
[v1] 2014-09-26 06:20:39
[v2] 2014-09-28 02:02:41
Unique-IP document downloads: 680 times
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