Why do we feel uncomfortable looking into someone's eyes?

I don't know either, but it's usually true. Among the Navajo (Native American tribe) eye contact is considered extremely rude. Almost as much as pointing at someone.

So it isn't just me that feels like that at least?

Do you feel the opposite is true if you are talking to someone?

Do you mean the person I'm talking to feels uncomfortable looking into my eyes as well?

No. Does eye contact feel normal to you when you are talking to them?

My point is that I think eye contact carries with it an implied contact or conversation. So if you make eye contact but you don't interact then it's a mixed message and therefor uncomfortable.

I hate it whenever the other person doesn't look at me ( eyes) when I'm speaking, it gives kina mix emotions that they ain't interested listening to me etc. But I do feel uncomfortable when I have accidental eye contact with stranger. I just shake it off by "smiling"

I've had similar experience. I often stare off into space and suddenly realize someone thinks I've been staring at them. I also shake it off by smiling and a sort of hand shrug.

I'm glad that you have a very healthy emotional and social intelligence to rely on. Other people ... not so much. Don't take it so personally when one feels really uncomfortable maintaining conversation long eye contact with you.

Eye contact is a form of connection between two people. People are uncomfortable when they feel there is too much, or too little connection for the situation. What they feel is too much or too little, is dependent on a number of factors.

On the opposite end of the spectrum, healthy emotions aren't always the reasons for lack of eye contact. Other reasons can include:
- trying to recall something (you sometimes see people staring off into space)
- cultural habits (some cultures don't look authority figures in the eye)
- the person experiences life primarily through their emotions (you will often find these people looking down at particular moments, not because they are uncomfortable, but because they are looking inside themselves, to ascertain how they feel about something)

Probably you think your looks are heavy when you look at yourself in the mirror.

Don't think that you are thinking the same what they are thinking which is again your own thinking. And try making your thoughts as nice and neat about what you think they are thinking about you. Believe in this and relax.

Look it to anybody eyes. All the best

Think again.

That's enough to induce two or three aneurysms.

That's what I was thinking.

Wait, does that mean what I'm thinking you're thinking isn't your thinking but my thinking?

it could be autism, or a number of other factors.