Dendrographic Hologram Theory: Predictability of Relational Dynamics of the Event Universe and the Emergence of Time Arrow

Round 1

Reviewer 1 Report

                             Review of paper symmetry-1699058

This article is interesting, written clearly, correctly and is a continuation of the work of the authors noted in the first three references. It is devoted to the mathematical substantiation of the structure of space on the scale of energies inaccessible to experiment (quantum-gravitational field) and contains important results in this direction.

The present approach is promising, but in this case I have a natural question:

           to what extent the concept of p-adic universe is compatible with well-known approaches to quantum gravity: string theory, loop approach, canonical methods.

    For completeness, it is necessary to insert a small paragraph with relevant links on this issue.

       Also, the references 1) on page 5 don't work: “(C3) Bohr's principle of complementarity and event-physics. Bohr repeatably stated that outcomes of physical observables are not objective properties of systems but generated in the process of a measurement. This is the basic part of his principle of complementarity [ ] …”, and 2) also on page 11: “Interestingly we have shown in previous study [???] the scale free similarities between different size dendrogram…”

  After elimination of  the above defects, the article can be published in the journal Symmetry.

Author Response

              We would like to thank the reviewer for the supportive report and the positive evaluation of our approach.  We completed two absent references. The main comment was the following one. 

>>to what extent the concept of p-adic universe is compatible with well-known >>approaches to quantum gravity: string theory, loop approach, canonical >>methods.

Reviewer 2 Report

In this article the authors have studied "Holographic Dendrogramic Theory: predictability of relational dynamics of the event universe and the emergence of time arrow". My comments regarding the publication of this paper is appended below:

1. This paper is well written and the subject material of the paper is presented in a very well fashioned manner.
2. The numerical study from the outcomes of the paper is very impressive.
3. Physical outcomes and results obtained in this paper are correct.
4. The authors have covered sufficient number of references in their reference list.

In view of the above mentioned facts, I would therefore strongly recommend this paper publication at Symmetry in its present form.

Author Response

              We would like to thank the reviewer for the supportive report and the positive evaluation of our approach.