I take alone and lonely as two different words.
Reference:: Sikh Philosophy Network http://www.sikhphilosophy.net/inspirational-stories/298-if-you-are-lonely-and-depressed.html
Lonely is a negative situation of being without companions, some sort of dejection.
Reference:: Sikh Philosophy Network http://www.sikhphilosophy.net/showthread.php?t=298
Alone is something unique, that doesn’t fall in the regular classes. Further, is it so: Alone = All + ONE, considering self single but still part of everything, the state of ultimate unity with Him!
This post sounds for lonely kind, and not the alone one.