All spiritual traditions directly or indirectly talk of connection. In the theistic traditions it is usually in the form of connection to God ie. prayer.
The more secular traditions like Vipassana talk of it more directly and self reflexively — to connect with one's own body/sensations/breathing etc.
From any of these, it is a short step to the recognition that mediation/prayer/spiritual practices etc change the world.
Carl Jung: Who looks outward, dreams; who looks inward, awakes.
Thomas Merton: The contemplative life…has an impact on the whole world…for it brings the knowledge of love and peace into the midst of the struggle and hatred and fear.
Ralph Waldo Emerson: What lies behind us and what lies before us are tiny matters compared to what lies within us.
Ramana Maharshi: Your own Self-realization is the greatest service you can render the world.
While these may seem far fetched to those brought up on materialism, Lao Tzu maps out the path nicely:
Cultivate virtue in yourself, and it will be true.
Cultivate it in the family, and it will overflow.
Cultivate it in the village, and it will grow.
Cultivate it in the nation, and it will be abundant.
Cultivate it in the universe, and it will be everywhere.
And then in reverse:
Therefore:
See others as yourself.
See families as your family.
See towns as your town.
See countries as your country.
See worlds as your world.
Tao te Ching 54
This Rumi quote suggested by CriglCragl also points to “connection” on a cosmic scale.
I died as mineral and became a plant, I died as plant and rose to animal, I died as animal and I was human.
Why should I fear? When was I less by dying?
Yet once more I shall die human, To soar with angels blessed above. And when I sacrifice my angel soul I shall become what no mind ever conceived.