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So, I’ll go out on a limb and propound that naivety is as responsible for scientific discoveries as a smug reliance on book learning.  It’s a stretch, I give…Read more

After (one can no longer say ‘ever since’) the Copernican revolution in science, scientists came to accept that their research could have been done by anyone, anywhere in the…Read more

Every rational proper fraction has an eventually repeating decimal (which may terminate in zeros as a special case). So do I have two proper fractions? The first involves n…Read more

That’s pretty much the party line.  Such statements presume a temperature (and time) when subatomic particle creation took place.  But the process is described in reverse order as if…Read more

At a distance r away from a spherical charge distribution a force field will be present that is directly proportional to the total amount of charge q(r) contained within…Read more

In my last post I provided ChatGPT’s complete review of all the technical cosmology and physics-related papers on this site. I provided rebuttals where I thought they were appropriate…Read more

Needless to say, it is with some trepidation that I requested such a review and critique from the latest version of Chat GPT version 5 PRO. But being aware…Read more

When one shares an observation like, “This grass is really green,” and someone replies, “Duh,” one has either inadequately emphasized the exceptionality of a green tint or stated something…Read more

Back before Wile put an end to such misery, amateurs such as I sought a proof of Fermat’s last theorem that, although not fitting in a margin of his…Read more

I don’t need to tell you that I make mistakes.  I suppose it’s a matter of salvaging self-esteem that I engage in this.  Be that as it may, I…Read more