Final Theory of Motion

Strands - an intriguing conjecture

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This research preprint is written to make you relish modern physics. All of it.

Free pdf of paperA conjecture: deducing general relativity and the standard model with its fundamental constants from rational tangles of strands. 58 pages, 8 MB.

It seems possible to deduce black holes, general relativity and the standard model of elementary particles from one-dimensional strands that fluctuate at the Planck scale. This appears to be possible as long as only switches of skew strand crossings are observable, but not the strands themselves. Woven fluctuating strands behave like horizons and appear to imply black hole entropy, the field equations of general relativity and cosmological observations. Tangled fluctuating strands in flat space appear to imply Dirac's equation. The possible families of unknotted rational tangles appear to produce the spectrum of elementary particles. Fluctuating rational tangles also appear to produce the gauge groups U(1), broken SU(2), and SU(3), to produce all Feynman diagrams of the standard model, and to exclude any unknown elementary particle, gauge group and Feynman diagram. The conjecture agrees with all known experimental data. Predictions for experiments arise, and the fundamental constants of the standard model can be calculated. Objections are discussed. Predictions and calculations allow testing the conjecture. As an example, a crude ab initio estimate of the fine structure constant is deduced.


When we look at the starry sky, we admire the vast space, the coloured twinkling stars and the deep blackness. The preprint proposes an explanation for the colours of everything we see - including the provenance of the fine structure constant. The conjecture seems to explain the origin and details of space, of all particles, of the cosmological horizon, and of all motion in and around us.


A more extensive, more fascinating but also older presentation is given here:

Free pdf of vol. 6 of Motion
The quest for a final theory leads to a proposal with testable predictions, to estimates of the W/Z and Higgs/Z boson mass ratios, and to a new approximation for the fine structure constant and the other fundamental constants. 480 pages, 36 MB.

The preview:

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