trying to compare bitcoin and gold is kind of a longshot. they are not as similar as you might think.

So why do people trust it and want to pay with expensive value? Because people believe Gold is valuable. The main thing here is people's trust. It is the same as Bitcoin, it doesn't need to be backed up by something because people trust it. People believe Bitcoin is something valuable and useful for human life. In this matter, something like Gold and Bitcoin is acceptable although it is not guaranteed by anything.
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You can replace bitcoin with something similar like ethereum if all you want to do is transfer digital money. The something similar argument. There's alot of cryptocurrencies out there. They do similar thing. they let you transfer digital money. so bitcoin can easily be replaced by any of them because they can do the same thing.

on the other hand, you can't just as easily replace gold with some other metal in every application. there are probably certain applications where gold is the only thing that you can use. or at least a much more limit set of choices than with bitcoin where you can literally pick dozens of other cryptos to use to "send your money".