One problem with that. If souls have mass, a person would get lighter at the point of death. Since they don't, souls must have no mass.
The premis of that whole argument depends on the assumption that something which exists must have mass. An abstract concept could be considered to 'exist', but it has no mass.
Information could be said to exist. If something which exists must have mass, you could gain weight by learning which is, after all, just aquiring information. (And also, lose weight by becoming less intelligent, which would account for the existence of super-models).
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