Credit will still exist, it will just have a smaller role.

Equity based investments will replace pure credit.

You want to buy a house? The bank will own part of the house and over time, you can buy its share of the house in an ongoing permanent negotiation. As the house market price fluctuates, so does the value of the banks' share. That means if the house appreciates in value you need to pay them more, if it crashes, you can buy the rest at a discount.