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Splitting of point particles embedded in 3D with compactified spaces

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Tommy Wood

This animation shows the generation of point particles in the SERD model, starting from a single point particle and growing via splitting. The system is represented by an evolving state metric that takes the form of a matrix. When splits occur they add a new column and row to the matrix, which represents the observed background independent distances between particles. The metric is embedded in 3D via time iterated strain minimization embedding. Filaments evolution is modelled via a scale restricted uniform probability distribution with a probability of full reduction. If all space elements in a filament all reduce this joins two point particles in a compactified space which is represented by an edge, for embedding we force the distance to be close to zero, but the compactified spaces still have extension in the external space in this representation to allow for observation of the internal topology. The metric is forced into an inertial frame by stopping all variation and particles tend to constant velocities at scale. Clustering of point particles is also observed.

posted by lipidico4p