attachment
What is the difference between non-attachment and coldness in Hindu thought?
What the tradition means by non-attachment
The Sanskrit word often used here is vairagya. It is sometimes translated as detachment, but that word can mislead. The tradition does not picture the non-attached person as distant or unmoved. It pictures someone who loves deeply, works hard, and shows up fully, but who does not grip the outcome. The relationship, the work, the person, all of these are embraced. What is released is the desperate holding on. The Gita describes this as acting without clinging to results. The love is real. The doing is full. What is loosened is the white-knuckle need for things to go a certain way.
The difference from the inside
Coldness comes from closing off. A cold person keeps their distance to avoid being hurt, or because they have stopped caring. Vairagya comes from the opposite direction. It grows out of seeing clearly that people and moments are precious and also temporary. That double understanding, precious and impermanent, is what softens the grip. It does not soften the love. Someone cold might walk away from a hard situation because they are protecting themselves. Someone practicing vairagya might stay fully present in that same situation, feel everything, and still not be swept away by panic or possessiveness.
Where the confusion comes from
The confusion has been around for a long time. The idea of a renouncing monk or a sage sitting quietly can look, from the outside, like someone who simply does not feel things. But the tradition points out that great sages and teachers within this line were known for deep compassion, grief, and joy. They were not numb. The tradition treats numbness as its own kind of problem, not as a spiritual goal. What the tradition admires is feeling without being enslaved by the feeling.
How people experience this today
Many people encounter this question around love and loss. Someone who has lost a parent, a child, or a close friend and still manages to live with warmth and openness is often described in Hindu households as having that quality of holding loosely. People who have grown cold after loss are seen differently, with sympathy, but not as having found what the tradition points toward. The line between the two is sometimes hard to find in oneself. The tradition tends to say that love remaining, even through grief and change, is a sign of vairagya. The shutting down of love is not.