i think a possible startup idea would be to start a "Github for science" (replace "science" with any academic or interest area really).
Encourage folks to post their papers in latex or markdown. Post their data, code, mechanical and electrical drawings, videos and pictures of their experimental setup, videos explaining their research, videos performing the experiment?, and so on. Allow others to comment on research with questions, concerns, suggestions for enhancement, or link it to their own supporting work, etc. Allow other researchers to fork people's research (but all forks link back to the original to give full attribution). The core focus is open up access to academic papers and research, foster better communication between people, and set a higher bar for communication of research.
Going the non-profit route: I think it would be cool for the site to be federated/distributed so universities & countries could host replicated nodes. It would be best if somehow the software system development and hosting costs could be underwritten by governments and universities.
Going the for-profit route:
The site could have an inexpensive PRO account to help support the site and software development. The site could be add supported, but zero tracker, with adds that would be small and content-based purely on the content of the paper topic.
Add Examples:
Reading an article on Julia numerical programming... maybe show an add for the upcoming JuliaCon or Julia Computing
Reading a metallurgy analysis paper... maybe show a small add for an x-ray fluorescent system for metal composition analysis or advertise an upcoming metallurgy conference
... the idea being that these adds are (1) not targeted at users, just targeted at content, (2)small, dismiss-able, and not annoying (3) hopefully actually useful and interesting to the reader.
The site could also sell "advanced API access" to interested parties for knowledge management/search on fast trending research and topical areas, research community graph analysis (maybe for recruiting?)... kind of the LinkedIn layer of the site.