Well the answer is really simple, You just need to use a little bit of logic. Let me demonstrate you with an example.
Scenario 1
You need to go one step back of the current directory where you are. For eg. you are inside /home/deepak and you want to go to /home so what is the command you would run?
Answer
# cd ..
Now does that 2 dots used after cd makes any sense? I think you must have got my point and the usage of double dot in each directory.
Scenario 2
Try to find a file with name test inside the current directory and all directories inside the current directory. For eg. Find test file inside /home/deepak( which is your present working directory)
Answer
# find . -name test -type f
Now as you can see I have used a single dot "." to tell my system to only look in my current directory.
So basically single dot "." means current directory which actually is a hardlink to its containing directory.
You can verify the same using the below command
[deepak@server work]$ ls -di . "$PWD"
66232 . 66232 /home/deepak/work returns the same inode no.
and double dot ".." means one step back i.e. the parent directory, that is the only directory where that directory is referenced from
[deepak@server work]$ ls -di .. /home/deepak/
22 .. 22 /opt/fti/
You can see the size difference between "." and".." accordingly below
[deepak@server work]$ ls -al
total 1592
drwxrws--x 4 deepak deepak 2048 Nov 13 02:22 .
drwxrws--x 23 deepak deepak 3864 Aug 22 09:57 ..
I hope the article was useful.