It must be remembered, in the above illustration, that at the stages at which the "object" throws off vibrations of light, heat, etc., it is not actually "resolved" into those forms of energy (which are much higher in the scale), but simply that it reaches a degree of vibration in which those forms of energy are liberated, in a degree, from the confining influences of its molecules, atoms and corpuscles, as the case may be.
These forms of energy, although much higher in the scale than matter, are imprisoned and confined in the material combinations, by reason of the energies manifesting through, and using material forms, but thus becoming entangled and confined in their creations of material forms, which, to an extent, is true of all creations, the creating force becoming involved in its creation.
But the Hermetic Teachings go much further than do those of modern science.
They teach that all manifestation of thought, emotion, reason, will or desire, or any mental state or condition, are accompanied by vibrations, a portion of which are thrown off and which tend to affect the minds of other persons by "induction." This is the principle which produces the phenomena of "telepathy"; mental influence, and other forms of the action and power of mind over mind, with which the general public is rapidly becoming acquainted, owing to the wide dissemination of occult knowledge by the various schools, cults and teachers along these lines at this time.
Every thought, emotion or mental state has its corresponding rate and mode of vibration.
And by an effort of the will of the person, or of other persons, these mental states may be reproduced, just as a musical tone may be reproduced by causing an instrument to vibrate at a certain rate--just as color may be reproduced in the same may.
By a knowledge of the Principle of Vibration, as applied to Mental Phenomena, one may polarize his mind at any degree he wishes, thus gaining a perfect control over his mental states, moods, etc.
In the same way he may affect the minds of others, producing the desired mental states in them.
In short, he may be able to produce on the Mental Plane that which science produces on the Physical Plane--namely, "Vibrations at Will." This power of course may be acquired only by the proper instruction, exercises, practice, etc., the science being that of Mental Transmutation, one of the branches of the Hermetic Art.
A little reflection on what we have said will show the student that the Principle of Vibration underlies the wonderful phenomena of the power manifested by the Masters and Adepts, who are able to apparently set aside the Laws of Nature, but who, in reality, are simply using one law against another; one principle against others; and who accomplish their results by changing the vibrations of material objects, or forms of energy, and thus perform what are commonly called "miracles." As one of the old Hermetic writers has truly said: "He who understands the Principle of Vibration, has grasped the scepter of Power."
The universal fluid or medium of occult philosophy — Lévi's Great Magical Agent — that transmits will, thought, and magical influence between minds and matter, and preserves the impress of all forms and actions as a book of consciences; cognate with akasha and the anima mundi. Distinct from cosmic_sympathy (a doctrine of hidden affinity) in being a substantival medium that can be charged, directed, and abused.
The description of mental vibrations affecting other minds via 'induction' and the medium through which thought travels aligns with the concept of a universal fluid or medium transmitting will and thought.
The Hermetic axiom that the structure of the cosmos is reflected at every scale — 'as above, so below; as within, so without' — making each level a legible map of the others.
The text draws parallels between physical vibrations (light, heat) and mental vibrations, suggesting a structural similarity across planes.
Salvation through direct experiential knowledge of the divine nature, not through faith, ritual, or moral works alone.
The text suggests that power is acquired through 'proper instruction, exercises, practice' and understanding the Principle of Vibration, implying knowledge-based mastery.
The doctrine that human volition, cultivated by discipline and emancipated from passion and servitude, is the primary instrument of magical operation — will confirmed by persistent acts acquires causal power over self, others, and nature; distinct from faith and from mere desire.
The passage explicitly states that by an effort of the will, mental states may be reproduced and one may gain control over mental states and affect others.
The Hermetic doctrine that THE ALL is Mind, and the Universe is mental in nature — a created thought held in the mind of THE ALL. Distinct from unity_of_being in specifying WHAT the underlying oneness is (mind, not an unspecified single substance), and from logos (a mediating ordering word BETWEEN a transcendent God and a separate material world) in collapsing that mediation entirely — under mentalism there is no world outside mind to mediate to.
The text asserts that thought, emotion, and mental states are accompanied by vibrations that affect reality, implying a universe where mind and matter are interconnected through vibrational principles.
The Hermetic doctrine that apparent opposites are identical in nature but differ in degree — two extremes of the same scale (hot/cold, love/hate) — such that one pole can be shifted toward its opposite by a change of degree ('mental transmutation'). Distinct from opposites_transcended (a completion-state marking the path's end, not this doctrine's active technique) and magical_equilibrium (balance held BETWEEN two forces, not identity-by-degree of what looks like two forces).
The text mentions 'Mental Transmutation' and shifting degrees of vibration to control mental states, which aligns with the Hermetic doctrine of polarity (shifting poles by degree).
The Hermetic doctrine that nothing rests — matter, energy, mind, and spirit are a single continuum differing only in rate of vibration, from the grossest matter to the least material spirit. Distinct from cosmic_sympathy (affinity resonating BETWEEN separate things) in being a claim about what constitutes any one thing in the first place, and from magical_equilibrium (Lévi's operational balancing technique, which presupposes some vibration doctrine rather than stating this general principle).
The passage is entirely dedicated to explaining the Principle of Vibration as the underlying reality of matter, energy, and mental phenomena.