I know math tells a different story, but it occurred to me that if zero were equal to infinity, than nothing would be equal to everything and that would explain how the universe and everything came to be.
I drew the relationship of the two through the existence of real randomness. My very sketchy understanding is that Quantum mechanics, which seems pretty accepted, depends on the existence of randomness. Furthermore, I find that if something can be random, than it can be anything. I don't even see way it can't be two things at once, or perhaps an infinite number of things; I digress. So, the thing can be both zero and infinity. In this sense they are equal.
Is there any significance to my hypothesis? If so, do you know of any ideas, writings, teachings or anything else that could help me understand or discover more? If this is just baseless and absurd, I think understanding why that is would be just as enlightening.
Full disclosure, I have no academic experience with philosophy. All I'm really looking for is to be pointed in the right direction. The closest sounding thing I have heard of is Buddhism, but please, no offense if that is incorrect, I'm not a Buddhist and know very little about it other than that some of the smartest and most exuberant individuals I have meet are Buddhist.
Thank you all for the enlightening answers and comments. Much of the feedback has helped me see a few place where I should have been more clear. A better title would have been "Any philosophy that states nothing is equal to everything?" (It's becoming apparent that there are.)
My use of the word infinity was only intended to be taken literally in the context proposed in my question. In retrospect, I can more clearly see the point was to show a physical example in which the two, when interpreted in their literal forms, are logically the same.
I used numbers and context to reason that the two can be equal, and I hypothesize that this is how everything came to be. I am seeking knowledge that will help confirm or dismiss this conclusion. It was not my intention to dispute the semantics of infinity. In terms of the question, infinity means what it means, but such details are only relevant when applied directly to the context of the reasoning.
Another interesting side note. I discussed this idea with a friend last night and his response was, "Welcome to Taoism". A quick google search revealed that Buddhism is based in Taoism, so definitely something I plan to find out more about.