> BSV and Bitcoin (BTC) are incompatible protocols
Both implementations have a large intersection. Dogecoin, Litecoin and Dash also use the bitcoin protocol and should also work.
> Sure, it can be added to BTC
The presented solution does not require a protocol change. BSV is essentially the original bitcoin protocol (with few small exception); nothing was added to the protocol to implement the turing machine. BTC has some of the scripting opcodes disabled but they can either be implemented using other opcodes (no change) or they could be reenabled as a new SegWit deployment (requires change). However, the issue you'll run into in practice is that the reference implementation (Bitcoin Core) has very small limits set and discourages scripting. You'll have to find a miner that mines the custom scripting transactions. And, well, fees are another issue.
Both implementations have a large intersection. Dogecoin, Litecoin and Dash also use the bitcoin protocol and should also work.
> Sure, it can be added to BTC
The presented solution does not require a protocol change. BSV is essentially the original bitcoin protocol (with few small exception); nothing was added to the protocol to implement the turing machine. BTC has some of the scripting opcodes disabled but they can either be implemented using other opcodes (no change) or they could be reenabled as a new SegWit deployment (requires change). However, the issue you'll run into in practice is that the reference implementation (Bitcoin Core) has very small limits set and discourages scripting. You'll have to find a miner that mines the custom scripting transactions. And, well, fees are another issue.