Shivanic Force: Solves Hubble Tension and S8 Tension by a 13 year old

Overview:

• You have conducted a well-structured and detailed study that introduces the Shivanic Force (SF) model including prediction using cosmological datasets.

• Overall, the study presents a novel approach that merits careful consideration. If you would like to make your research even more robust, I recommend you to add more data based verification.

• This includes adding more relevant published work, comparison of the SF model with published/proposed relevant models, and working on the presentation part to make it more readable.

• If you consider submitting your manuscript for publication at the Journal of Emerging Investigator, I suggest you improve the manuscript by incorporating below suggestions.

Scientific Feedback:

• Prior to the hypothesis, I recommend you to consider adding a literature survey and explain the reason to come up with the model. You should consider including below references and justify what past relevant published work did and how it matches/differs from the proposed model:

  • The physics of cosmic acceleration: https://www.annualreviews.org/content/journals/10.1146/annurev-nucl-010709-151330

  • An empirical investigation into cosmological tensions: https://link.springer.com/article/10.1140/epjp/s13360-022-03343-w

  • Imprints of cosmological tensions in reconstructed gravity: https://www.nature.com/articles/s41550-022-01808-7

  • Anisotropic viscous fluid cosmological models from deceleration to acceleration in string cosmology: https://link.springer.com/article/10.1007/s10773-013-1540-4

  • 100 years of mathematical cosmology: Models, theories, and problems: https://royalsocietypublishing.org/doi/full/10.1098/rsta.2021.0191

  • Expanding wave solutions of the Einstein equations that induce an anomalous acceleration into the Standard Model of Cosmology: https://www.pnas.org/doi/abs/10.1073/pnas.0901627106

• The phrase “out of which the first 15 were taken” is unclear. If you have used 15 galaxies, then you need to justify how this sample size is justifiable and how more or less of this will not impact the outcome of the SF model.

• Average can be skewed data, please include min, median, max and standard deviations

• Under Materials and Methods, you noted that "analyzed spectroscopic galaxy data from the SDSS DR16 eBOSS LRG sample, covering 174,816 galaxies in 0.3 ≤ z ≤ 0.8." however in the result section it is noted "The galaxy sample, consisting of over 174,000 galaxies (out of which the first 15 were taken)". So which is the true data set that was analyzed: 15 or 174,816? Please clarify.

• Please add performance of SF model by utilizing more galaxy than 15. I suggest to use samples of: 10, 15, 100, 500, 1000 and 10000. To capture the error rate. This includes what you have already used as a sample size.

• You should consider adding a table that compares SF model with other published model to justify that SF model is outperforming others. There is not data in the manuscript currently that justifies this.

Presentation Feedback:

• Including line numbers in the manuscript would make it easier to reference specific sections when providing review comments

• The writing should use first-person plural (we, our) instead of first-person singular (I, me) to maintain a formal and collaborative tone appropriate for a paper

• Abbreviations: In abstract abbreviations have been used and then have full forms have been explained in later section, it should be done at the start or add an appendix to note down all such terminologies

• On "Modified Friedmann equation", please add a note that is it derived in the appendix

• Format: The text fonts and size should be consistent

Figures/Tables Feedback:

• Figure 1: Average can be skewed data, please include min, median, max and standard deviations

• Figure 2: Data for μ ΛCDM is missing