Earlier quoted context omitted.
Sure, the framers meant to protect the information, not the paper stock. But they gave a right against a particular way of accessing that information. They prohibited warrentless searching or seizing-- i.e. infringing your property rights in--the paper, not a blanket right against the government collecting that information by any means. If the framers had intended to protect the information regardless of source , whe…
Is it maybe an analogy problem? At the time of the framing, your accountant had your information, but he was also authorized to know it. Nobody at Google is authorized to read my email or even I expect look at who I'm corresponding with. It's all done by machine. And the whole concept of "property" as inside a machine is unusual. Is an email on a server like a letter on an accountant's desk, or is it like a letter on…
The "machine" versus "Google employee" distinction isn't a compelling one. The computer is programmed by a human agent of Google to scan your email, collect information, and use that information for Google's purposes. Also, wouldn't your reasoning allow the government to avoid any allegations of 4th amendment violations by pointing to the NSA computer that does the actual scanning?
> And the whole concept of "property" as inside a machine is unusual. Is an email on a server like a letter on an accountant's desk, or is it like a letter on my desk in my apartment which I lease from someone else?
It's not unusual. Property is defined by the bundle of rights you have with respect to something, whether that something is tangible or intangible.[1] A lease is a property right that limits what the lessor can do. Your landlord cannot, except under certain exceptions, enter your apartment and look through your desk (or send a robot to do the same). Your landlord has no interest in the things inside your apartment, which remain solely your property. None of that is true for many types of digital information held by third parties. Google explicitly retains the right to scan your emails and use the collected information for commercial purposes. At some point, Google retained quite extensive rights over what you put on Google Docs (although they've narrowed that in a TOS change). Facebook retains quite extensive rights over what you post.
The 1878 case of Ex Parte Jackson addresses the Post Office issue. It distinguishes between sealed letters (protected by the 4th amendment), and things like postcards that are open to inspection, even if they are not routinely inspected (not protected). Arguably, most clear-text online traffic falls in the latter bucket.
All of that being said, my point is that you certainly could conjure up a right to digital privacy from the "penumbras" of the 4th amendment. But the opposite view--that no such right exists--is pretty logical too. Certainly, I think logical enough that you can't say that the text of the 4th amendment compels you to find that such a right exists.
[1] This should not be a foreign concept to programmers. It's very much like a capability: https://en.wikipedia.org/wiki/Object-capability_model.