Re: Wouldn't it be more fair if the bitcoins were shared equally?
...I'm saying a different system should be used [that] has to be thought and invented. each one can open an account and get the coin.
It seems that you have now recognised that your 'fair' system is not Bitcoin. Maybe now is the time to take this thread to the Alternate cryptocurrencies sub-forum. Then I would suggest looking through there to see what others have come up with that could be more in line with your principles. For instance Freicoin as I understand it only gives 20% of new currency to the miners with 80% available to go to charities/worthy causes. If nothing there is to your satisfaction then see if you can, with help from others there maybe, come up with an alt that suits you. I think it a new method can be popular anyway ... and it can be more popular than bitcoins because more people will join if they think they are not discriminated between them and the early joiners.
If you do manage to get over the technical challenges (courtesy of the generosity of Satoshi et al at least some of the problems you are likely to encounter have been addressed and are available for your use free of charge) then it is a matter of seeing if you really do have a candidate to do better than Bitcoin.
If you prefer instead to stick to the Bitcoin forums dissing it for some of the aspects many believe are central its current and future success then don't be surprised if the responses aren't exactly positive and encouraging.
All the best with it
