These three words "Vraj", "Vraj Bhumi" and "Vraj Mandal" have completely mixed up with our blood. Sri Krishna - the lord of Vraj is our darling. So also is his land of Vraj. We may try hard to understand about Sri Krishna, but HE cannot be comprehensed. So also is the case with Vraj Bhumi. There is great pleasure in understanding Vraj as his divine form. As we begin to understand about Vraj, our attachment (Prem) for it also increases.
Usually the name of any place, village or particular land will receive its name from either geographical situation or by the name of its ruler or in situation, or by a leader. For example India is called "Bharat", derived from the name of its foremost emperor "Bharat" - a Raja Rushi. The word "Gujarat" is derived from the community called "Gurjar".
But the holy places derive its name from the sports played by divine being there. Hence these names are not worldly ones. They contain divinity, some kind of transcedentality.
The word "Vraj" was seen enumerated in Vedas. Vedas, as we all very well know is directly the speech (Vani) of divine being. The name "Vraj" is then given by HIM directly.
In the language known as "Vraj Prabhu" the letters "Vraj" is used as "Braj". Hence "Vraj" has turned to "Braj".
The meaning of the word "Vraj" : according to Sanskrit Dictionary. The word is derived from the root "Vraj" the meaning of the root "Vraj" is given below :
1. To walk : To move : To progress.
2. To reach : To have a glimpse.
3. To give farewell : To relive from service. To go a step behind : To spend time.
The word used in Sanskrit for "to go" is "Gama". And in the sense of "running" the verb used is "Dha". In the same sense the verb "Vraj" is also used.
When a prefix called "Upasarga" is added to the verb the meaning of the verb changes materially. It will give a new meaning. It also applies to the verb "Vraj". Example : 1. "Anut Vraj" - to got back to get help; to go from behind. 2. "At Vraj" - to come; to reach; 3. "Pari Vraj" - to wander; 4. "Pra Vraj" - to leave the place; to leave the world.
"Vraj" is derived from the verb "Vraj" the word "Vraj" is in the following senses :-
1. A crowd of people. 2. A stable where the cowherds stay. 3. A stable where cattle are kept; a path; a road.
When the prefix "Sam" is added to Vraj i.e., SamVraj" it would mean a women.
When the suffixes like "Nath", "Vallabha", "Krishna", "Mohan" or "Var" etc. are used with the word "Vraj" like Vrajnath etc., it would denote to Sri Krishna.
When the word "Mandal" is added to Vraj i.e., Vraj Mandal it would mean to Vraj i.e., "Vraj Mandal" it will mean the whole circular area of the place.
One Dr. Vasudevasharma Chaturvedi gives altogether a different meaning to the word "Vraj".
Vraj is used in the sense of "going". In the word "Jagat", verb "gam" is implied in the use of gati or movement. So in spiritual sense the word "gati" shows four aims :- 1. Gaman or movement; 2. Gyana or knowledge; 3. Moksha or emancipation; 4. A progress made towards, realisation of self.
All the four meanings apply to "Vraj" also. All these four spiritual aims are turned towards divine being. In the sense : four stepping stores to realize divine being. It is alleged that all the four aims can be achieved while staying in "Vraj". Hence it is said "Vraj" is a place where both efforts and worship can be easily made in obtaining the divine being.
The composers of a dictionary also use the word "Vraj" in the sense of pervasiveness. That which is "Pervasive" in Vraj. Just as Brahman is all pervasive. So also the land on which he resided must also be pervasive. It is hard to circumscribe the land of Vraj in geographical parameters you can say with conviction where the divine being stays that place must be Vraj.
Further, "Vraj" is used as a synonym for Brahman. The place Vraj has received is greatness and grace by the presence of Brahman there. In a sense, Brahman also enhances his glory by the association of Vraj.