I am still looking for an answer to my original question; however, gold itself is not stable enough to be a good currency. In the past year I believe gold's inflation rate is 25% while its deflation rate over the past 5 years is 9% per year. This is to say that gold is too volatile to act as a viably currency. Generally accepted economics today aims for an inflation rate of between 1 and 3 percent per year in order to keep away volatility, hyperinflation, and deflation.

Gold isn't stable, thus it is difficult to see how a Bitcoin market cap that is similar to a gold market cap would cause Bitcoin to have a stable price.