I get it. I think I had the misconception that you could branch in FHE, but as I think about it this would by its nature reveal quite a lot of information about the plaintext.

Would it perhaps be possible to create a weaker form of homomorphic encryption that could branch? It would not be strong enough for the most serious security use cases (authentication, financial, etc.) but would perhaps be usable for cases where you just want to protect data confidentiality e.g. processing PII. The processor could probably infer the structure of the running program but not necessarily its data if appropriate constant-time comparisons and other constructions were used.

If you can branch then you can always run a program that compares the encrypted value to a constant, then iterate over the whole space of possible values for the constant and that way decrypt the value

CPUs are a circuit. What are you on about?

Ergo, you can model anything CPUs do as a matrix.

We've asked you before to edit the swipes out of your comments here. If you keep doing it, like here and https://news.ycombinator.com/item?id=22847040 from yesterday, we're going to have to ban you. I don't want to do that, so would you please just make your substantive points thoughtfully?

If you wouldn't mind reviewing https://news.ycombinator.com/newsguidelines.html and sticking to the rules when posting here, we'd be grateful.