It seems to me that, as this discussion has developed, at least four different questions have gradually begun to run together. It may help to separate them before asking what a “Resurrection Hypothesis” would actually need to specify.
First, there is a historical question: what do the early Christian sources actually claim, how reliable are those sources, and what can historians reasonably say about the emergence of resurrection belief?
Second, there is an epistemic question: what evidential standard should we require before accepting a claim about an event that, if it occurred, would be radically unlike the ordinary course of nature as we observe it? How should our background expectations about natural processes affect our assessment of the evidence for such an event?
Third, there is an explanatory question: if we speak of a “Resurrection Hypothesis,” what evidence is it meant to explain, and against what alternative explanations should it be compared?
Fourth, there is a physical or metaphysical question: what properties of the risen Christ’s embodied state are actually part of the hypothesis? What must be said about his identity and embodied existence for the claim to be coherent, and what can legitimately remain unspecified?
These questions are connected, but I do not think any one of them automatically settles the others.
For example, the absence of a worked-out physical theory of the resurrected body could become a serious problem if the properties essential to the hypothesis are mutually inconsistent, or if the missing specification prevents us from understanding what the hypothesis is supposed to explain. But the mere absence of a complete physical theory does not by itself make the historical or explanatory questions meaningless. The Gospel narratives portray the risen Christ as bodily present and interacting with his disciples; that tells us something about what those texts claim, but it does not amount to a fundamental physics of transformed embodiment.
The converse is also true. Showing that resurrection is theologically intelligible within Christianity would not, by itself, show that it happened historically or that the available evidence is sufficient. Theological intelligibility and historical warrant are different questions.
So it seems important to ask what degree of specification is appropriate at each level. A historical claim has to be assessed in relation to sources, evidence, and relevant background expectations. An explanatory hypothesis has to be definite enough for us to understand what it is claiming, what it is meant to explain, and how it differs from alternatives. A physical or metaphysical account has to be coherent enough that the properties essential to the claim are not mutually contradictory. But I do not think it follows that, before any historical or explanatory discussion can even begin, we must already possess a complete physical theory of transformed embodiment.
For that reason, criticism seems strongest when it identifies one of three things: evidence that is insufficient given the relevant background expectations; a lack of specification that prevents the hypothesis from doing the explanatory work claimed for it; or a genuine internal contradiction in properties that are actually essential to the claim. The absence of a complete physical account may contribute to one of those problems, but it is not automatically identical with any of them.