Arsha means ancient spiritual knowledge. In ancient times in India, the spirituality and science were not in contradiction to each other. Rishis were scientists as well as revealer of spiritual knowledge to the society. They were able to explain matter, life as well as cosmic energy.
Gu means darkness and ru means light. Guru is the one who removes darkness of ignorance and lights up wisdom. A guru is the one who is knowledgeable, wise and authentic and he guides others through his wisdom. Kulam means home. Gurukulam is the home of the guru. Wisdom is not something we can teach. One has to live with a guru and experience his life. It is passed on to the deserved disciple when the right time comes. Arsha Yoga Gurukulam means the home where one gains ancient knowledge by living together with the teacher.