Goethean Science - Space and Counterspace

Last updated 10th December 2004 by David Cuthbertson on behalf of the Professor LWJ Holleman Trust.

Thomas's hypothesis was that a physical object exists simultaneously in both space and counterspace.
- Because of the differing geometries of the two spaces an object will move differentially within each of those spaces.
- However the movement of the object is constrained, for it is linked to both spaces.
- The conflicting movements cause stress which results in a meassurable strain which in turn manifests itself as a physical force on the object.
These linkages are intensive (holistic).
- All counterspace infinitudes are fractally linked to the primal counterspace infinitude which provides a fixed point of leverage for such forces.

The Physical

Steiner characterised the physical by means of the four classical/alchemical elements
- These were associated by Thomas with the 4 steps from projective to Euclidean geometry
Warmth ('fire')
- Projective geometric linkage - not quantifiable
- Requires alternative approach
Gas ('air')
- General affine linkage
- Fixing infinity allows measurable expansion
Liquid ('water')
- Special affine linkage
- Volume invariant, but areas are plastic
Solids ('earth')
- Euclidean, metric linkage
- Rigid objects

Steiner characterised the ideal counterparts of the 4 elements as the 4 ethers
- Thomas proposed they are associated with time invariance
Heat - projective geometric linkage
- End point of thermodynamic equilibria
- (?)
Light - polar-affine linkage
- Polar area encompasses whole apparatus
- Velocity in space not counterspace
Chemistry - polar special affine linkage
- Surface spherical harmonics
- Atomic orbitals
Life - polar-Euclidean linkage - metric
- Fractally linked bound surfaces
- Cells, sub-cellular organelles, organs, organisms