A New Version of Spherical Magnetic Curves in the De-Sitter Space S 1 2

Round  1

Reviewer 1 Report

General Comments:

The paper presents a new type of spacelike magnetic curves in the De-Sitter sub-space S_1^2 of Minkowski space, an important Lorentzian space with positive curvature. The work investigates some geometrical and physical features of moving charged particle in this space including energy and magnetic force. The topic is highly important in relativistic physics and engineering. The paper is well written, with good mathematical structure.

Specific Comments:

1.   Section 1: On Page 2, the conclusion that divergence-free (zero-divergence) vector fields and magnetic fields have 1-1 correspondence needs a clarification or a reference.

2.   Section 6:

a)   On Page 17, axes of Figure 4 should be clarified; also, the center of the pseudo-circle should be defined.

b)   On Page 18, it is unclear how the center of the pseudo-circle is calculated.

3.   Minor language errors:

a)   On Page 4, “we are able find” should be “we are able to find”.

b)   On Pages 4 and 5, “suct that” should be “such that”.

Author Response

Dear Editor/Reviewer,

First of all, we would like to thank respected referees and editorial board members for their useful comments and suggestions on the manuscript. We have modified the manuscript and we have made a list of detailed corrections that are requested by the referees.

Sincerely,

Selçuk Baş.

Here is the list of changes that we have made.

Comment #1: Section 1: On Page 2, the conclusion that divergence-free (zero-divergence) vector fields and magnetic fields have 1-1 correspondence needs a clarification or a reference.

We added some supplementary researches additional to fundamanetal definitions to explain the concept beter.

Comment #2:  Section 6: a)   On Page 17, axes of Figure 4 should be clarified; also, the center of the pseudo-circle should be defined.

Axes are clarified in the Figure 4 and also an extra reference was added  where one can the definition of the center of the pseudo-circle on the De-Sitter 2 space. Please see page 18.

Comment #3:  Section 6: b)   On Page 18, it is unclear how the center of the pseudo-circle is calculated.

Please see the refereans 18 at the page of 19 to have an better idea on this computation.

Comment #4:   Minor language errors:

a)   On Page 4, “we are able find” should be “we are able to find”.

b)   On Pages 4 and 5, “suct that” should be “such that”.

We corrected above mistakes.

Author Response File: Author Response.pdf

Reviewer 2 Report

Broader introduction.

No experimental data and results.

No conclusions and future work.

Avoid words "we", "our" - better "author(s)".

Author Response

Dear Editor/Reviewer,

First of all, we would like to thank respected referees and editorial board members for their useful comments and suggestions on the manuscript. We have modified the manuscript and we have made a list of detailed corrections that are requested by the referees.

Sincerely,

Selçuk Baş.

Here is the list of changes that we have made.

Comment #1: Broader introduction.

We added some supplementary researches additional to fundamanetal definitions to explain the concept beter.

Comment #2:  No experimental data and results- No conclusions and future work.

We added results and future studies.

Author Response File: Author Response.pdf