Hi.All known nowadays schemes : proof-of-work (PoW), proof-of-stake (PoS) and proof-of-burn (PoB) schemes are vunelarable to 51% attack - the governments can capture more than 51% of resource needed for mining and will be able to cancell transactions. This would be easy because of trend on centralisation of mining (now effective PoW-based mining requires large farms of ASICs and it have became a serious business) but this make it vunelarable to groups of people who can use different forms of violence to get control over resourse needed for mining. PoS and PoB are also vunelarable to this kind of attack.
I have an idea (now we don't have either a specification or a PoC) how to solve this problem.
As we know there are kinds of problems which can be solved by human more efficiently and more faster than by a computer but a computer can check wheither the solution is correct at polynomial time. For example
protein folding or some sites which name I don't remember.
If we have:
0) a puzzle which can be solved by human more efficiently than by a computer, for example computing a ternary structure of a protein
1) a function which generates a puzzle of ajustable difficulty from a number, for example we can transform a number into a sequence of amino acids, then we compute secondary structure of protein using known algorithm
2) a function which can efficiently check wheither given solution for given puzle is correct (in proteins folding we don't know if the current variant of folding is optimal, but I think it is possible to evaluate probability that the current configuration is not far to optimal configuration than some value epsilon, additional research is needed)
we will be able to build a new proof : proof-of-brain (PoBr) which successfully solves problems of centralisation of mining: it is impossible to make an ASIC (at least a classical digital ASIC), mining resources (people) don't belong to corporation so they would change the corporation they work for if they understood that the corporation wants to break the cryptocurrency they are working for.
Some discussions on another places
http://fold.it/portal/node/996844
