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I've said off-chain transactions should exist with Bitcoin. Primarily I had scalability in mind, but also think of the progression of money. People once traded physical gold. People then traded claim checks for the gold instead since that was more effective (easier to carry, not subject to shaving, etc.). Today we use credit cards, PayPal and other methods to trade digital claims on paper dollars since that's even more effective than trading the paper.

...I've also had a far simpler transfer method in mind which I call Bitcoin Clearing Houses (BCH).

A BCH starts with an entity that can garner general trust, say MtGox, Blockchain.info, the Bitcoin Foundation, etc. The BCH sets up a server with website interface allowing users to register with email addresses and deposit or withdraw bitcoins. Those transfers take place on-chain. However, since the BCH is widely visible many other users and merchants could also have accounts there. Then coin transfers happen within the BCH, or between multiple ones. A BCH also provides an API so that eWallets like WalletBit or MtGox can pass on transfers from their members without the members having accounts at the BCH.

Using a BCH has obvious advantages. Transfer is instant, no waiting for confirmations. Transfer is free or very low cost (profit might come from ads or features). Finally, of course, is scalability is helped greatly. (people could also send to email addresses eschewing wallet addresses)