It can't just be a large portion, it has to be the majority of the miners out there. In other words >50% of the mining power out there has to agree to the fork. The only way this could happen is if someone with a ton of money (like the US government) dedicated resources to building machines just for mining. And even then, the advantages to forking the blockchain aren't really that great. You can double spend some bitcoins but you can't actually steal them.
It's a hypothetical question. I'm not talking about a 51% attack.
Let's say exactly 50% of the economy (*not* necessarily 50% of miners, see
https://en.bitcoin.it/wiki/Economic_majority) decide for whatever reason (philosophical differences or whatever) to adopt one set of rules while the other 50% decides to keep the old set of rules.
What happens?