Mantras create thought-energy waves.
The human consciousness is really a collection of states of consciousness which distributively exist throughout the physical and subtle bodies. Each organ has a primitive consciousness of its own. That primitive consciousness allows it to perform functions specific to it. Then come the various systems. The cardio-vascular system, the reproductive system and other systems have various organs or body parts working at slightly different stages of a single process. Like the organs, there is a primitive consciousness also associated with each system. And these are just within the physical body. Similar functions and states of consciousness exist within the subtle body as well. So individual organ consciousness is overlaid by system consciousness, overlaid again by subtle body counterparts and consciousness, and so ad infinitum.
The ego with its self-defined "I" ness assumes a pre-eminent state among the subtle din of random, semi-conscious thoughts which pulse through our organism. And of course, our organism can "pick up" the vibration of other organisms nearby. The result is that there are myriad vibrations riding in and through the subconscious mind at any given time.
Mantras start a powerful vibration which corresponds to both a specific spiritual energy frequency and a state of consciousness in seed form. Over time, the mantra process begins to override all of the other smaller vibrations, which eventually become absorbed by the mantra. After a length of time which varies from individual to individual, the great wave of the mantra stills all other vibrations. Ultimately, the mantra produces a state where the organism vibrates at the rate completely in tune with the energy and spiritual state represented by and contained within the mantra.
At this point, a change of state occurs in the organism. The organism becomes subtly different. Just as a laser is light which is coherent in a new way, the person who becomes one with the state produced by the mantra is also coherent in a way which did not exist prior to the conscious undertaking of repetition of the mantra.
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