What do universities get from students with valuable research ideas?
Your question is based on a few assumptions, some of which are loose or close to be false. I'd outline some of them:


Ideas are valuable to Universities.  No, they are not. Universities may be interested in hiring people who have ideas and are able to convert them into working implementations and/or academic publications, thus generating prestige for the University and attracting more grant money and more students. But if the University does not have people to get your idea onboard, your idea, however cool, is wasted on them.
Universities can check my findings and officially confirm that they are scientific. No, Universities don't do this. The only `official' routes to recognise the scientific contribution is to publish it in peer-reviewed journal or patent it. Both require much more effort on your side than just formulating an idea.
Professors look through my writing, checks how the simulator works and comes to the conclusion that it, indeed, does what I promised. Normally, professors would not spend time doing this unless they see a clear benefit in terms of publications and grants. This basically means that someone checking your work would expect to become a co-author of this work and share all the prestige (and potentially profit) generated. Think twice if that's what you want.