Hollywood Beach, Florida (CNNMoney)

The brothers, known for their legal battle with Facebook (FB, Tech30) founder Mark Zuckerberg, believe the controversial cryptocurrency is the payments network of the future. That's despite Bitcoin's 60% plunge in 2014.

They predict Bitcoin's market capitalization could easily skyrocket to at least $400 billion, or roughly the combined size of modern day payments companies like American Express (AXP), Visa (V), MasterCard (MA) and Western Union (WU).

But the Internet entrepreneurs are taking it one step further. They believe Bitcoin could one day morph into a gold-like asset class -- or even surpass it.

"If Bitcoin is a better gold or seen as a type of gold-like asset, then it could be in the trillions on a market cap," Tyler Winklevoss told CNNMoney. "We do feel those are very real possibilities."

Related: Gold is sexy again as it jumps above $1,300

Reaching over $1 trillion in market cap is hard to fathom, especially because Bitcoin's current market cap is less than $4 billion.

Many skeptics remain convinced Bitcoin was a bubble that will soon die out. Jeffrey Gundlach, the new so-called "bond king," recently said Bitcoin is "on its way to being relegated to the ash heap of digital currencies."

Related: Will Bitcoin ever rebound?

Buying opportunity? Don't tell that to the Winklevii, as they are sometimes called. The twins are huge backers of Bitcoin and stand to profit handsomely if their vision comes true.

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Winklevoss twins: Bitcoin better than gold