Is it possible to create a different domain system but on the same Internet? For example, is it possible to build a 3rd party browser plugin or a special browser in order to access such domains? Also, how practical or hard would such a system be to create and maintain? The Tor network is an example which contains domain names only accessible by conntecting to the network but is it possible to build a decentralized system just like the World Wide Web?
it all depend on on your dns and routers in your "Internet". your dns will give you whatever address it knew for that domain, and routers in your "Internet" will route you (if possible) to that address.
people has been using it all the time like what you mention (Tor), but eventually they have to join the mass because they want to post their food picture on facebook.
My twocents on the subject..
This can be done, twotrophy.. why not.. although it will be quite a challenge to get people using it and trusting it. When I install my computer, I fill in a single DNS service IP. Your alternative DNS can be used there, but it should pipe all requests for the regular internet onto a regular DNS. All browsing and https will go through your server that is : server network. For current DNS, the burden is spread among (very) many DNS nodes, that all backup each other.. for an alternative system you would need a similar infrastructure. In 5-6 years, you will find yourself designing certificates and registering DNS servers. They pay for that. In turn, these DNS customers will start to ask money to customers who want to register addresses, I'm afraid in the end, you will have a system that is very similar to the existing standard.And servers that support it should adhere to the law as any other company. I wonder if it would help to have TWO standards ?