Hi Mark,

I am left more confused by this post. It may be advantageous to wait until you're ready to share a draft of your academic paper. My comments below:

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Further research may reveal other aspects of the internal architecture, but some aspects may require a more detailed survey. The location of the internal elements of the pyramid in relation to the exterior of the pyramid may have been important to the architect so a survey to determine the configuration may provide a better insight into the design. The extent to which the architect understood the geometric observations considered in this paper is debateable.

Your first sentence here is throw-away - what is the impact to your proposal if other aspects of the internal architecture are discovered? Similarly, what aspects require a more detailed survey? Your second and third sentences appear to be logical contradictions, or are you suggesting in your second sentence that an extension of your proposal may be possible if the internal configuration is clarified? The third sentence makes it appear that you are suggesting a geometric model but also claiming that the geometry wasn't understood. I think your readers will need clarity on what your intent behind this statement is.

Otherwise it appears you have some good thinking around the limits of your theory. However, I disagree with the following statement:

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If a number of curious design elements appear complex or haphazard, but then an elegant solution presents itself, then a model may commend itself as more likely than not or even beyond all reasonable doubt if the basis of a proposition is in accord with what we know about ancient Egyptian mathematics, particularly if the limitations of ancient methods such as unit fractions yield a perspective which would not attract the attention of the modern mind.

This may be possible but is fraught with danger. You are on the right track in terms of working with Egyptian Units and looking to the extant sources on Egyptian Mathematics. I'd recommend a close read of Corinna Rossi's recent work "On Measuring Ancient Egyptian Architecture" published in The Journal of Egyptian Archaeology 2020, Vol. 106(1-2) 229–238. Quoting Rossi p 230:

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When we take measurements, we collect three types of data: information that the ancient Egyptians possessed (first) and information that they did not possess, including both information of which they were not aware (second) and knowledge that we wrongly attribute to them (third).

I wish you well with completing your paper. We can agree to disagree on Saturn. I am presently working on falsification of my own hypothesis and will publish a further update in due course. If you are curious, you can read my hypothesis and underlying reasoning here: [www.academia.edu]

Regards,
Brendan