I am working independently on an idea, and to test its conceptual feasibility, I have done a bit of math, and it seems to check out. The idea is in the area of web engineering, or web science.

Now, in order to simplify the math, I've had to make several assumptions, which may or may not be valid in the real world. Is this a problem? I'm trying to make the calculation as realistic as possible, but I've noticed that it can quickly get out of hand in terms of complexity of the problem.

However, I believe that the concept has value in that it is a novel way of approaching an existing problem, and it could have the legs required to flourish in a theoretical sense.

EDIT: Just to be clear, the simplification I'm referring to replaces non-linear functions with linear functions, so that the math is simpler.

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    As Massimo says below, this isn't really a proof of concept. I would maybe use the phrase "simplified model". @Joebevo – Tyberius Feb 3 '19 at 16:52

From your description ("I have done a bit of math, and it seems to check out"), it sounds like you have ended up in an entirely ordinary and reasonable piece of theoretical/analytical research. Indeed, such research can be almost precisely characterized (informally) as doing a bit of math and seeing if it checks out.

The question of publishability then boils down to whether your simplifying assumptions are considered reasonable (which you can argue and test by comparison with prior work, both theoretical and experimental) and whether the conclusions reached by checking it out are interesting and significant.

Bottom line: go forth and publish (in an appropriately scoped venue)!

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A proof-of-concept is usually considered to be an experimental implementation.

Your analysis might be publishable, but don't call it what it's not: the reviewer may probably object. There are other, less objectionable, ways in which you can title and describe your work: find a suitable alternative.

As for the simplifying assumptions, yes, they can be an issue: at least, try to approximately figure out what can be the worst-case scenario if those assumptions don't hold, and address these limitations in your manuscript.

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The only way to know an answer for this is to write it up and submit it to a journal or conference. You will get feedback from reviewers and the editor. I can't guess how they will respond and it will depend on the solidity of your ideas and how you back them up.

If you are already well established it might be more likely as your reputation for past success might make people less willing to question your concepts out of hand.

But if your resulting paper seems unusual to an editor it might not get much traction. But writing it up formally will probably help you firm up the idea and give you ideas for completing it.

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