Wednesday, December 16, 2020

TIL: String Theory is Essentially an Aether Model and a Rehash of W. Thompson's (Kelvin's) Vortex Atom Theory


W. Thompson (a.k.a Kelvin)
(sometimes confused with) J. J. Thompson

While reading through Edmund Whittaker's famous treatise: 'A History of the Theories of the Aether & Electricity': Chapter IX: 'Models of the Aether', I came across this interesting set of paragraphs:

One of the greatest achievements of Helmholtz was his discovery in 1858 that vortex rings in a perfect fluid are types of motion which possess permanent individuality throughout all changes, and cannot be destroyed, so that they may be regarded as combining and interacting with each other, although each of them consists of a motion pervading the whole of the fluid.
...
The individuality of vortices suggested a connection with the atomic theory of matter.
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The earliest attempts to build up a general physical theory on the basis of vortex motion were made in 1867 by William Thomson (Kelvin), and were suggested by a display of smoke rings which he happened to see in the lecture room of his friend, P. G. Tait, in Edinburgh University. He used vortices in the first place to illustrate the properties of ponderable matter rather than of the luminiferous medium, and pointed out that if the atoms of matter are constituted of vortex rings in a perfect fluid, the conservation of matter may be immediately explained.
As the wikipedia article says:
Tait's work especially founded the branch of topology called knot theory, with J. J. Thompson providing some early mathematical advancements. Kelvin's insight continues to inspire new mathematics and has led to persistence of the topic in the history of science.
While W. Thompson and J.J. Thompson attempted to model atoms with vortice ring knots, string theorists use the same idea to model the fundamental subatomic 'particles' one level below.

Compare:

Aether Vortex Knots  

In String Theory, the Aether (now relabeled euphemistically as the Quantum Vacuum) is modeled as a Quantum Foam consisting of knots of memBRANES. Compare with Kelvin's 'Vortex Sponge' described below.

Continuing with Whittaker:

The vortex-atom hypothesis is not the only way in which the theory of vortex motion has been applied to the construction of models of the aether. It was shown in 1880 by W. Thomson that in certain circumstances a mass of fluid can exist in a state in which portions in rotational and irrotational motion are finely mixed together, so that on a large scale the mass is homogeneous, having within any sensible volume an equal amount of vortex motion in all directions. To a fluid having such a type of motion he gave the name vortex sponge.

The greatest advance in the vortex-sponge theory of the aether was made in 1887, when W. Thomson showed that the equation of propagation of laminar disturbances in a vortex sponge is the same as the equation of propagation of luminous vibrations in the aether.
Ultimately, however, these attempts to create mechanical models of the aether were abandoned. One of the implicit aims of Whittaker's treatise was to present the history of the ideas leading up to the theory of relativity and the many scientists who contributed to it, thus putting Einstein's contribution in context, thereby humanizing him, and deflating the unwarranted, ardent hero worship of Einstein. Whittaker credits Larmor as one of the first to state that the aether models were all unsatisfactory, and suggesting that the very idea of modeling the aether with mechanical models was probably hopeless:
Towards the close of the nineteenth century, chiefly under the influence of Larmor, it came to be generally recognised that the aether is an immaterial medium, sui generis, not composed of identifiable elements having definite locations in absolute space. The older view had supposed ‘the pressures and thrusts of the engineer, and the strains and stresses in the material structures by which he transmits them from one place to another, to be the archetype of the processes by which all mechanical effect is transmitted in nature. This doctrine implies an expectation that we may ultimately discover something analogous to structure in the celestial spaces, by means of which the transmission of physical effect will be brought into line with the transmission of mechanical effect by material framework.’  Larmor urged on the contrary that ‘we should not be tempted towards explaining the simple group of relations which have been found to define the activity of the aether by treating them as mechanical consequences of concealed structure in that medium; we should rather rest satisfied with having attained to their exact dynamical correlation, just as geometry explores or correlates, without explaining, the descriptive and metric properties of space.’
However, I disagree with Larmor (and Whittaker). With the vast increase in experience with complex emergent phenomena and modeling them mathematically/numerically since 1910, it might be time to give the aether another shot.

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