Frequently the dilution is so great that no trace of the original substance remains but, if no chemical trace remains how do the remedies work?

A precise answer is likely to be found in the field of physics, especially electromagnetism. The process of dilution and succession apparently imprints the characteristic energy pattern, or blueprint, of the original substance onto the water in which it is diluted. Like the transmission of television signals, where the original scene is converted into an electromagnetic energy pattern (a signal) which can be broadcasted to your receiver. A homoeopathic remedy acts as a signal which energizes or stimulates the body’s self healing powers, mobilizing the defense systems and working on the mental, emotional and physical aspects of the body.