A couple more responses from knowledgeable folks:
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Milborne Christopher wrote a book about such attempts to prove the afterlife by measuring the soul, or looking for evidence of clairvoyance.
The biggest objection is that, even if the body did get lighter at death (a claim not at all established, since there are many things that can go wrong while measuring weight change at death), how does that establish a soul, or an afterlife or anything else that goes with it?
As for things that go wrong…
First the apparatus is hardly likely to be able to measure 3/4 oz accurately. If it were, what might cause a 3/4oz loss of weight
for a man dying of consumption. Oh, how about moister loss, coughing, the weight of air in the lungs, perspiration. Lets assume
the attendants just stood outside the room watching the balance beam waiting for the patient to die. Mention was made of maintaining a balance on the scale. Why? Perhaps because it kept changing from coughing, respiration, perspiration, … Not to mention all the vibrations and currents from people milling about the room.
If there were a control patient who didn’t die, and we had the time course of weight for both patients, then we might be able
to start doing a serious analysis. However, since techniques for doing time series analysis are still evolving today, it’s doubtful they were used in 1907.
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There was, I believe, an article on this in the Skeptical Inquirer many, many years ago.
It’s one of those “classic” things that is often cited by people to “prove” the existence of a soul. Several years ago, I was talking with a man who ran a martial arts supply store around here (now closed) and he cited it as part of his argument that chi existed.
IIRC, the SI said that part of it could be from loss of water vapor or some such things. I just pulled a book on forensics off my shelf and it has a lengthy section on how long it takes different portions of a corpose to dry out and otherwise exhibit signs of decomposition and change/ The difference in weight before and after death, in this case, was noticeable but not great. I don’t know if it has been repeated. Perhaps some sort of forensics test would explain more.