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Trajectory, forming a Lissajous figure on the surface of a twofoldly turning horn torus
with ratio poloidal revolution : toroidal rotation = 1 : 1 (standard dynamic horn torus).
This is one of  eight  possible combinations of revolution and rotation and symmetry.
As described on other pages of this website, the figure symbolises a ‘metric particle’
within a ‘dimensionless space’ and is reference object for other elementary particles
and their fundamental properties, such as quantisation, interaction, entanglement ...
 
 
approach to the horn torus model
‘ space, time and physical objects: 
a strict epistemological reduction
 to abstract mathematical entities ’
as pdf, html or on ResearchGate
 and view the video ‘The Big Hiss’
 
 
The ‘metric particle’, depicted above, we also call ‘unit particle’ –  it simply represents
the complex number (1,i) , where 1 means one rotation and i signifies one revolution.
Because 1/n revolutions per 1 rotation equals the ratio one revolution per n rotations,
fractions of a turn do not generate a different depiction, and therefore the unit particle
represents the complex number with smallest absolute value, which occurs for ratios.
We define: 1 rotation symbolises Planck's constant  ħ, 1 revolution Planck length l_P/c
(= Planck time), and c is circumferential speed of the assigned horn torus longitudes.
Constancy of speed c automatically results from self-similarity conditions of horn tori.
(Refer to various texts on the horn torus pages and on  mathematical-universe.com )
For certain reasons I tend to give this μ-sterious thing another name: ‘mirror particle’!
 . . . . .