Going through your coment I found out a thread created in regards to this Which says When will Bitcoin catch up with Gold in capitalization?
But nevertheless after a deep thought I discover that the market capitalisation of bitcoin to equate with gold is easy using the formula Price of coin × total supply = market cap for example if 1BTC @$96000 × 21m supply of bitcoin= $2.16trillion meaning that for bitcoin to compete with gold Market cap it must surely be 1BTC @$550 - 600k × 21million= 11.5Tr to 12.6Tr. so surely it is easy to determine by this formula even though it might not give the exact figure but must be approximately. So when you think of bitcoin cap to compete gold think of 6x to 7x of bitcoin growth from now.