Enhancing Variational Informational Principles: A Complexified Approach with Arbitrary Order Norms

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Dear Authors, 

Unfortunately, your manuscript is unreadable, since you didn't define the basic items. There are several suggestions how to do it and they are attached in the file below.

Comments for author File: Comments.pdf

Comments on the Quality of English Language

The language is understandable, but very clumsy the sentences are witten I recomend to the Authors to find a good English lecturer friend and discuss about my comments. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

The variational principle ``based on information quantities to unveil the physical laws" (5) includes an arbitrary parameter $\alpha$.  How to relate this parameter with the physical laws? Do you mean $\alpha>0$? Why the stationary point of the functional corresponds to a minimum? More specific motivation and justification  is needed to make the formal computations interesting for readers. 

Author Response

Please see the attachment.

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

Comments and Suggestions for Authors

Dear Authors, 

your complex number employing in the variational principle will be clearer if your extremely long sentences will be shorterd, and if particulary divided into two or tree sentences. Maybe it is a consequence of your James Joyce writting style sympathy? 

Down below, in the file attached, I suggest you how to do it in the sentences I dared to correct. I was affraid to loose the sense of your words.

Comments for author File: Comments.pdf

Comments on the Quality of English Language

The Language is understandable, since it is of mathematics shape. But, the sentences are in the James Joyce style. Very extremely long, with inappropriate punctuations somewhere. 

I suggest the authors to consult a good English lecturer friend.

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors

The revision is adequate.

Author Response

We are pleased that the corrections were satisfactory.