can i recreate the sound of vinyl by encoding the vinyl frequencies onto digital audio?

Even if you add the frequencies just the initial conversion filters IIR or FIR (simplifying), format, bits, final analog stage, Fpga or off shelf chip or ladder involved will provide its own signature.
Then when playing back the digital content you have all those variables again on a different set of hardware software. Good luck getting the same result, I went over this scenario in my head 6 months ago and decided to spend the money directly on analog and vinyl

BTW I will go out on a limb and say most all new vinyl these days is digitally remastered. If the recording was done in the 70s or older it was with few exceptions originally an analog master.
Records stopped making sense as a recording delivery medium once digital took root in the 80s. No reason to put new recordings on 100 year old technology.
I have a large record collection From way back . I bought a new good turntable to be able the play those records and not have to replace them.
I don’t buy new overpriced vinyl with digital source material on it. Pointless. Unless you just enjoy the ritual of playing records.
Records do have the advantage of being a large enough format to support delivering nice and informative packaging like was often done in the early days to help a release sell. But even most of that material is available elsewhere on the internet these days. Much like many books.
Times change.....

Lew here.  Sam, who is "not a troll" has been successful despite his near illiteracy in starting another useless vinyl vs digital argument.  Maybe that was his goal. Sam, in the world of science or even in the world of polemics, you need to state your experimental conditions, the equipment you use, the methods, and the data that you think allows you to claim such complete success.  That would require a couple of pages of writing with charts and graphs.  Maybe you can post that information somewhere else and provide a URL. If you're really only saying that you make vinyl to digital recordings, as Mapman and others have mentioned, and you think the results are identical to the vinyl source, join the club.  Lots of people think that.  Lots of people do that. There's a minor industry built around that belief and preference. (See Tascam, for example). You were not the first.  You did not invent the idea, even.  You can even find entire websites devoted to this sort of mental masturbation. If that's not what you are saying, what then?

Show us the way mapman!
You are so correct that 99% of vinyl of new music comes from performance recorded to digital.  So the vinyl contains the virus.  And nor can it sound better than the digital master except by adding artifacts that are judged to make the sound more pleasant.

It remains a pity that almost nothing new is now recorded AAA, even by believers.  Given the resurgence of vinyl, this is perhaps a seam that can profitably be mined.

Sorry guitarsam, my post was entirely clear and you add nothing by repeating your proposition with re-emphasis.
Put up or shut up with your backyard guitar.  Nobody's ever heard it.
So perhaps subject it to a double blind listening test.