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Information-Theoretic Models for Physical Observables
 
 
Article
Peer-Review Record

Intrinsic Information-Theoretic Models

Entropy 2024, 26(5), 370; https://doi.org/10.3390/e26050370
by D. Bernal-Casas * and J. M. Oller
Reviewer 1: Anonymous
Reviewer 2: Anonymous
Reviewer 3: Anonymous
Entropy 2024, 26(5), 370; https://doi.org/10.3390/e26050370
Submission received: 1 April 2024 / Revised: 21 April 2024 / Accepted: 24 April 2024 / Published: 28 April 2024

Round 1

Reviewer 1 Report

Comments and Suggestions for Authors

Please see the attachement for the report.

Comments for author File: Comments.pdf

Comments on the Quality of English Language

No

Author Response

Please, attached you will find our reply.

Author Response File: Author Response.pdf

Reviewer 2 Report

Comments and Suggestions for Authors


Comments for author File: Comments.pdf

Author Response

Please, attached you will find our reply.

Author Response File: Author Response.pdf

Reviewer 3 Report

Comments and Suggestions for Authors

This interesting paper expands and refines  the mathematical structures  presented in Reference

in [1]. 

Specific optimizations enabled for  a better and extended approach with the ultimate objective of giving a firmer  foundation to the formalismes  of [1].

Stationary states were dealt in the Riemannian manifold by invoking Schrodinger’s equation to discover that the ensuing  information could be broken into quantum harmonic oscillators in a better way than in [1]. 

The critical features of their modeling process remain independent of the parametrization used and invariant under coordinate changes. 

The same model can be applied across different parameterizations, allowing for greater consistency and generalizability. 

Quantum harmonic oscillators reach the "intrinsic" Cramer–Rao lower bound on the quadratic Mahalanobis distance at the lowest energy level.  

As in their previous study [1] they showed that the global probability density function of a set of m quantum harmonic oscillators at the lowest energy level, calculated as the square modulus of the global wave function at the ground state, equals the posterior probability distribution calculated using Bayes’ theorem from the m sources of information for all data values, taking as a prior the Riemannian volume of the informative metric. 

The paper is well written and didactic.

I liked it and suggest acceptance.

 

Author Response

Please, attached you will find our reply.

Author Response File: Author Response.pdf

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