'Namasté' isn't just a gesture that belongs to Hindus. It isn't religious although it was initially practised by Hindus.
'Namasté' is a deeper and much more spiritual switch that enables in ascension of individual souls and thus in that of the planet.
The internet is full of loose translations, often grammatically incorrect, however correct in emphasising what the term implies . From my little knowledge of Sanskrit I take the privilege of sharing my understanding of the term and what it stands for. The information I thus share is to the best of my knowledge and is not taken from any references. I request that any corrections needed be pointed out.
Importance of the word:
'Namasté' may be read as a combination of two words 'namah' and 'te'.
'Namah' implies 'to pray' or 'to bow', not physically but from a mental point of view. 'To bow' implies 'shedding of ego' in this context. It is not 'prayer' as people offer to God or deities. Nonetheless, no conventional prayer can be successful unless the ego is shed. Hence, 'namah' is significant in prayers as well as in daily greetings. This is also why most Sanskrit Shlokas and chants have 'namah' somewhere in them. For instance, 'om namah shivay' wherein we shed our ego (or, so to say, surrender) to lord Shiv.
'Te' means 'to you'
The term 'Namasté' thus implies '(I) bow to you' which actually means 'I surrender my ego to you'
Often the gesture is associated with a physical bowing of the head. That is complimentary and Namasté doesn't necessarily require us to bow physically as it is the bending of ego that is far more important than bowing of the head. Those who lose in wars also bow their head to the victor. It doesn't guarantee allegiance. It doesn't imply that there shall be peace. Often such people get back with much vengeance!
Namasté, or bending of the ego on the other hand, is the foundation of peace! For when we bend our ego, we see the divine in the other. When we see divine in all, we have no problem in accepting their point of view.
Bending the ego kills superiority complex and when we are not superior to anyone, we are free from the fear of becoming inferior to anyone. When we are free from fear, we are free from greed and jealousy as lack of this fear renders the competition worthless.
And when we see the divine that is present in all, we are not afraid to love all. When we love all, we unite and contributed to peace!
The gesture:
The physical act of 'Namasté' brings the together, close to each other and to the heart chakra. This is also very significant. Hands are tools of magic. Like mouth is a portal for the entry of food, our hands are portals for exchange of energy.
Usually, the left hand is receptive while the right hand transmits. When we bring the palms together, we neither receive nor radiate any energy to or from the other person. In a way it is protective to both as a greeting may be made at anytime irrespective of our state of mind and while greeting someone, we don't know their energy either. Folding the palms together protect both the people involved from transmission of unwanted energy.
(This is also why most deities are shown with their right palm facing us as that signifies their grace radiating out us. But harnessing energy using consciousness and intent is another topic.)
Bringing the palms together also shiftd our consciousness to them and subsequently as we bring them close to the heart chakra , we shift our consciousness to it. This ensures that our greeting is from a place of 'love'. Love cannot be without mutual respect and we cannot honour the divine in anyone unless we love and respect them.
The knowledge of the gesture enables us to focus on the intent behind the term. The entire process is akin to casting a spell for universal peace and brotherhood!
The simple yet profound act of 'Namasté' is a powerful act of watering the tree of peace that can wither unless it is carefully nurtured.
The act of Namasté unites us and I encourage you to try to simply speak it and then speak it with the gesture and intent. You will notice the difference yourself!