I always enjoy it when someone does the hard yards to improve their understanding of science, ask good questions, find good resources and be willing to learn.
Time dilation isn't really easy to comprehend deeply. It really calls on a detailed understanding of frames of reference, and how our universe affects differing frames of reference relatative to one another.
Understanding time slows at high speed or near a massive body - from the relative perspective of a external observer who is stationary and removed from major gravity sources is challenging. There are many hard parts to understanding relativity, none the least:
1) Time almost stops near the event horizon of a black hole
2) Inside a black hole space and time almost take on each other's characteristics according to some theoretical models that go beyond relativity
3) Relativity can't handle circumstances of ultra high gravity (inside the event horizons of black holes or cosmic strings) or faster than light speeds (e.g. tachyons)
4) Time in relativity is never an absolute - to anyone - ever! Its always relative meaning its different across any different frames of reference - not because we can't measure it accurately - but because time itself is relative!
Having spent many an evening browsing the web on google searching about high energy physics, sub atomic particles, quantum gravity and astronomy - let me simply say there are alot of great website out there and its fun to learn.
I just wish they taught me in high school more about the structure of the atom. Back then it stoped at electron, proton and neutron. It my mother's day it was taught it was impossible to split an atom because you couldn't manufacture a knife sharp enough
I used to play frisbee at Uni with the guys who pioneered discovery of Quarks - and more than half the team thought the idea was daft at the time.
Ideas change over time and generally get more detailed. We now have many hundreds of sub atomic particles, excellent measurement of the physical constants
http://newton.ex.ac.uk/research/semiconductors/theory/collabs/constants.html
and the tools to do really cutting edge high energy research. Added to this alot of theoretical physics is on teh web - easy to get too, sometimes surreal to comprehend. But Hawking's "The Universe in a Nutshell" is a great starting place. Added to this we have string and m-theories (described as 22nd century physics that fell into the 21st century).
Go forth and learn with humility and an avid thirst for knowledge is my encouragement to you!