Sympathetic Vibratory Physics

A longitudinal vibration is a vibration in which the principal motion is in the direction of the longest dimension. [Rossing, Thomas D.; The Science of Sound; Addison-Wesley Publishing Company, 1982.]

John Tyndall
A vibrating medium must lengthen and shorten 2 times per each lateral oscillation; so 1 longitudinal equals 2 lateral. Longitudinal frequencies are independent of string tension. [John Tyndall; Sound; Longmans, Green, and Co., London, 1893.]

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Longitudinal Axis
Triple axis of the three modes of vibration drawn to reference a circle and sphere.
The three modes working together develop rotation by and through each other's motion - the rotation is the Rayleigh Wave or Surface Wave mode. The first two modes cause (or are) straight line and zig-zag motions only. The third or Rayleigh Wave is circular.

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Longitudinal Waves
"Process for forming ambient temperature superconducting filaments."
Process for forming electrical conductors in the form of filaments which exhibit properties of electrical superconductivity at ambient or normal room temperature. From a scalar viewpoint the fineness of the filament conductors in insulating material severely limits the transverse (Hertzian) motion of electrons; thus limiting their mass movement and hence current losses. [U.S. Patent No. 4,325,795. Apr. 20, 1982.]

"On longitudinal correlations of the field of a light wave propagating in a medium having random inhomogeneities." [Radiophysics and Quantum Electronics." 13(7), July 1970. p. 834-835.]

"Magnetogravitational waves in a conducting isothermic atmosphere."
Among other things, the possibility of transforming longitudinal waves into transverse waves in the region of a strong magnetic field is indicated. This is important in building scalar wave detectors. [Zhugzhda is with the Institute of Terrestrial Magnetism, Ionosphere and Radio Wave Propagation. Astronomichsskiy Zhurnal (Moscow). 56(1), 1979. p. 74-83. In Russian.]

"In 1816 André-Marie Ampère gave Augustin-Jean Fresnel an idea that the polarization of light can be explained by the wave theory if light were a transverse wave.

By the year 1821, Fresnel was able to show via mathematical methods that polarization could be explained by the wave theory of light and only if light was entirely transverse, with no longitudinal vibration whatsoever." https://en.wikipedia.org/wiki/Light#Wave_theory

Schauberger
The product of this involuting motion, which always converges to a point while at the same time curling in upon itself, is biomagnetism. That it is also contingent on the presence of catalytic influences will not be further discussed here. As such, biomagnetism extends itself longitudinally and radiates its surplus energies vertically and, for example, draws the trout along in its wake. The trout can so regulate this upsuctional force with its gills that even its motionless stance and equally well-known mastery of gravity becomes understandable in the light of the above. The weight of physical masses only exists in the atmospheric living space. Above this the force of levitation prevails as inverted gravitation. Consequently, all pressure- and heat-intensifying motion must inevitably function all the more irrationally, uneconomically and development-impedingly, the more it is accelerated and strengthened. To this end raw materials are squandered to such a degree that a growing dearth of them is unavoidable. [The Energy Evolution - Harnessing Free Energy from Nature, The Biological Vacuum - The Optimal Driving Force for Machines]

Sympathetic Vibratory Physics

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Longitudinal