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Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe
oleh: Oded Shor, Felix Benninger, Andrei Khrennikov
| Format: | Article |
|---|---|
| Diterbitkan: | MDPI AG 2022-01-01 |
Deskripsi
Following Smolin, we proceed to unification of general relativity and quantum theory by operating solely with events, i.e., without appealing to physical systems and space-time. The universe is modelled as a dendrogram (finite tree) expressing the hierarchic relations between events. This is the observational (epistemic) model; the ontic model is based on p-adic numbers (infinite trees). Hence, we use novel mathematics: not only space-time but even real numbers are not in use. Here, the p-adic space (which is zero-dimensional) serves as the base for the holographic image of the universe. In this way our theory is connected with p-adic physics; in particular, p-adic string theory and complex disordered systems (p-adic representation of the Parisi matrix for spin glasses). Our Dendrogramic-Holographic (DH) theory matches perfectly with the Mach’s principle and Brans–Dicke theory. We found a surprising informational interrelation between the fundamental constants, <i>h</i>, <i>c</i>, <i>G</i>, and their DH analogues, <i>h</i>(<i>D</i>), <i>c</i>(<i>D</i>), <i>G</i>(<i>D</i>). DH theory is part of Wheeler’s project on the information restructuring of physics. It is also a step towards the Unified Field theory. The universal potential <i>V</i> is nonlocal, but this is relational DH nonlocality. <i>V</i> can be coupled to the Bohm quantum potential by moving to the real representation. This coupling enhances the role of the Bohm potential.