We've had infrared technology for more than a century and it has been commercially available for 80 years but there has never been published an infrared study of any great pyramid.
I've listed the other science that has never been done and published numerous times.
Science progresses by the study of anomalies. The proper way to study the great pyramids is to apply layers of modern knowledge and technology. When anomalies are disclosed these must be studied. It never occurred to me during all those years of calling for science that the testing would outperform my wildest dreams but then they'd just drop it and never publish the results. "Science" is a process, it's a way of thinking and a way of life. It's a means of peering into what is all around us. It is not a toy to distract for a few hours nor is it a tool for shutting our eyes at unwanted and and irreconcilable results. All knowledge and technology must be applied to understanding the nature of the pyramid and this will be accomplished only by discovering the anomalies. In this case "anomaly" can be defined as any concrete data that doesn't conform to Egyptological beliefs. Only when the testing has been done can we say that the current beliefs rise to the level of "theory". Currently the beliefs are "obviously" flawed because they stand on illogical and unevidenced assumptions.
It's exceedingly difficult to test whether or not the builders feared and loved their gods enough to construct 6 1/2 million to tombs for their dead kings that he might ascend to the stars and become one with the hereafter. It's very difficult to prove that the ancient incantation work, don't work, or are really incantation at all. It's difficult to prove that a body of knowledge founded on things that come from tombs can be extrapolated to apply to a living culture. But we can certainly find evidence for how the pyramids were built just by using our technology in a systematic and methodical way and with this information we'll have taken the first step to creating theory and science.
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Man fears the pyramid, time fears man.