Thank you for taking the time to share your thoughts on my blog post.

My intention for the blog was to strike a balance between accessibility for a broad audience and the inclusion of mathematical details that are pertinent to understanding the normal distribution's fundamental properties. Hence the blog was titled "A perspective" as against "The proof".

Regarding the points you raised:

- Entropy and Calculus of Variations: Given the audience of the blog, I chose to focus more on conceptual explanations rather than detailed mathematical proofs. However, to address this gap, I will add a follow on blog that includes these proofs and a more rigorous mathematical discussion for those interested in the deeper technical details.

- Connection to the Central Limit Theorem: I agree that integrating a discussion on the relationship between the normal distribution and the central limit theorem could enrich the article. I will elaborate on this aspect in future posts.

Audience Expectations: It seems there was a mismatch between your expectations and the level at which the article was pitched. I strive to cater to a diverse readership, which sometimes means the content may not align perfectly with all expertise levels.