Interesting concept, I have a few questions/feedback. You should add some documentation with code examples! Most devs will want to glance over the code of the contract, I didn't see that listed. Things I want to know after reading:

1. What is the recipient of a slice for payments? Is it a wallet crypto address/ENS domain? Or is it a function in a larger smart contract? It seems this would dictate whether the sender can treat it like a normal ETH/token send or whether they have to use a dApp to send payments. Curious whether senders of payments are locked into your infrastructure or not.

2. What is the process of slice creation? Does one party decide which other parties get a piece of a slice initially, or just own 100% initially?

Somewhat related, I am building infrastructure tools for smart contracts (https://www.blocktimize.io/), and I'm looking for Beta testers who are launching smart contracts -- is there an email I could reach you at?