>But unlike gold, which can appreciate in value indefinitely, Bitcoin is mathematically capped in how much it can appreciate in value because the expected value of mining and purchasing need to go to par.

I don't think you're using the term "appreciate in value" correctly. I think what you meant to say is that gold can be mined infinitely (on earth, in space) and therefore has potentially infinite supply, whereas the total supply of bitcoins is capped at 21 million.