You sound like a nice guy who has been working hard (though I think it's unlikely that you've legitimately "solved five outstanding problems in physics") and I would like to help you. I will try:

You have a problem, which is that most of the people who make claims like yours are cranks, which I'll define as "people who are emotionally committed to valueless ideas and with whom it is essentially impossible to have a productive conversation, and who are unaware that they are a crank." And most of the people who "could expertly read your papers" have had their time wasted by crank after crank, and gotten tired of it, so they have developed defenses. It's like the spam filter you probably use on your inbox. Maybe you really were given a lot of money by a stranger in Nigeria. It's barely conceivable, and if it's true, it could be very valuable to you. But you filter out such claims because (1) they are so unlikely to be true that the expected value of reading them is still negative, (2) you really have no choice in any event, because you get so many that if you read them all you wouldn't get anything else done.

Compounding your problem is that ideas like yours take a long time and a lot of effort to evaluate. For example, it's hard to understand general relativity - one has to commit some serious energy to it. If your ideas are right, they probably also take a lot of effort to evaluate. Here's the problem: you are not entitled to demand that effort of other people. Food, shelter, freedom, and medical care might be part of your birthright as a human being (though some disagree even as to that) but the right to have experts study your theories is definitely not included in that birthright. You're asking them to take time off from their own pursuits (like their own research, or spending time with their kids) to work on your pursuit. They might do it for a friend, or they might do it because they're curious, or they might do it because they think it could be valuable to them. But you're not entitled to it -- you have to figure out how to get them interested. The ball's in your court on that one.

So, you need to stop whining and develop the social skills that are necessary for a successful career in science. I am not a professional scientist, but many of my college friends are, and I have watched them struggle over the last decade to develop their social skills and their connections so that they can get their ideas understood and taken seriously. For some of them that's harder than their actual research -- but there's not much choice. It's part and parcel of the work. A researcher has two jobs, coming up with valuable ideas, and then getting other people interested in those ideas.

I wish I had some specific advice for you but I don't really know how it works in physics. But I'm sure that if you're really smart enough to solve "five outstanding problems in physics" then you'll be able to figure it if you apply yourself. A good first step might be to go to some physics conferences, meet some people who practice in your field, and befriend them. Show a lot of interest in their research, let them talk about it, ask intelligent questions (it's flattering when people do that.) Don't mention your own research - be vague ("oh, I've been interested in this aspect of gravitation too, which is why I'm so curious about your ideas.") Try to find small ways to help out the people you meet. If you do this for a while, you will eventually make some friends, or at least professional contacts. Then you will at least be able to ask them to take a serious look at your ideas. ("Hey, I wonder if you could help me out with something. I've had some ideas about [unsolved problem] and I know that you're an expert in it - it's always your name that comes up when I ask around. I'd love to get your opinion. Is there a time that we could chat for 15 or 20 minutes?") At least, that's what I'd do if I didn't have any contacts in a field, and needed to make some.