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 ...

‘ 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

represents the complex number with

We define: 1 rotation symbolises Planck's constant ħ, 1 revolution Planck length

(= Planck time), and

Constancy of speed

(Refer to various texts on the horn torus pages and on mathematical-universe.com )

For certain reasons I tend to give this

. . . . .