Q1) Is there any way you could provide me with more essential data such as equations or texts related to the theoretical developments of SVP, etc.? I find the historical text very time consuming and would prefer to get down to the nitty-gritty.
A1) A comprehensive compilation of SVP can be seen here. To know the mans history is to know his life and work. To know his life and work is to know his discoveries, philosophy and science. Keely worked with sound, vibration and music as applied to and through mechanics, Mind, philosophy, spirituality, chemistry, physics, etc. The basis of everything that there is is vibration. "All force is vibration..." Cayce (900-422) "So is matter." Cayce (1861-16) The study (for many centuries) of sound and vibration has been carefully and extensively organized into what has become the scientific basis of music. A careful and in-depth study of the arithmetic of music will reveal a great deal of the foundation "math" of the Keely legacy now called Sympathetic Vibratory Physics. All forces are vibratory and therefore the principles that govern music govern them as well.
This study into the scientific basis of music will be the beginning of "getting down to the nitty-gritty."
The second part of the question has to do with the EFFECTS of sound and vibration on "things" and processes. SVP holds that Mind (Will, Love & Spirituality) is the initiatory cause of all phenomena and it was this force Keely worked to harness. These phenomena fall into several areas of research. These being: acoustics, heat, light, etc. or the various categorizations of vibrations in their actions and reactions on, with and through "things." A great deal of SVP is scattered throughout several fields of science. This makes it difficult for the ordinarily trained person to grasp all the points required to develop a working knowledge. For this work it is far better to have a general knowledge in many fields rather than an in depth knowledge in one field - in fact it is essential.
The third issue is about the substance of SVP - the Forty Laws of Sympathetic Vibratory Physics. Please review these for greater detail.