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Sorry ... you got the physics wrong.
Water requires pressure to sterilize because water boils at 212F, and that is not high enough a temp. Pressure simply allows water to get hotter than 212F, is all.
The water wiggler is very similar to the egg in that it is mostly water, and the skin of the wiggler holds in in a space that is perfect for a temp. probe.
I am not sure how you determined that the wiggler temp was 2 degrees lower than the actual temperature. What actual temperature?
Where did you hear that sand holds temp. like an egg? I have no doubt that sand might give decent results, but the make up of sand is far from that of an egg, whereas water is similar. You would probably be better standing the probe in a small pot of water ...... the wiggler is simply more convenient.
The egg, in a decent incubator, actually varies very little in internal temp. The cycling of the heater is too fast for the egg temp to vary much.
Your post suggests a little confusion of the principles ... and you are analyzing too much.
LOL... this is getting long. No offense but I did the test with a lab thermometer borrowed from the hospital. I also checked it with the a oral medical thermometer. I will stick with my way of doing it. No offense.
none taken.
Please stop with the *my thermometer is bigger than your thermometer* stuff tho, it doesn't help.
I am trying to help you focus on what is important here. In the end tho, you have to do what you think is best. FWIW, I think you are misleading yourself a bit, but time will show you the way you need to go.
Good luck. With the amount of care you seem to be taking, I'm sure you'll do fine