Sorry it took so long, the log file contains only "Failed to validate Mac AppStore receipt." I googled that and found this unity answers post that says there is a setting to turn off mac appstore validation, sounds like that might be the solution?
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I don't think it is the unidentified developer problem, I have my security settings to open apps from "Anywhere" (the most permissive option). I didn't see any error pop up just double clicking the app briefly opens it and then silently crashes. When I get home I'll try to see if it left any logs on my machine that I could send you.