Action performed on the singular or unitary state may be considered expansive or contractive and this constitutes resp. the sentient and static "guna's" or creative forces of philosophy. Unity is preserved and this helps define the third, mutative principle or tensile force or charge. Without final creation, the guna's remain indistinguishable. The created entity is the real vacuum. The seed of its creation is by definition sentient or radiant, whereas the process of dimensionalization is increasingly controlled and counteracted by the static principle.
Thus under the influence of the guna's, unity gradually assumes the form of a vacuum volumetric geometry, whereas the original, non-dimensional state crystallizes as the nucleus. From this final state, dominated by the static principle or matter wave, the guna's and guna-interactions can be calculated retrospectively.
Quantum theory is based on field interactions, in this case forming a scalar field. The guna's are nevertheless implied through the recursion ratio's of resp. the angular speeds, the wavelengths and the propagation speeds of the field exitations:
Note: the small letter phi here is used by convention for the scalar field excitations - it must be a pure coincidence that the "golden ratio" (1.618) causing the scalar field's synchronization in the following is also indicated as Phi, usually as capital.
The three guna's together are called the Trigunatmika, or triangle of forces. In QFT,
like in the case of the Trigunatmika, a vacuum is created, but this time it is formed out of the groundstate's native geometry, as shown in the relevant section. The philosophical "triangle of forces" is somewhat controversial, in that the figure is neither balanced nor imbalanced. Instead it exists on the edge of equilibrium, corresponding to the, arguably more precisely defined, synchronized groundstate in Quantum Field Theory. The guna's are calculated as follows.
Note that the resonant state is not a geometrical projection, it is a circular equilibrium or Lagrangian, constrained by the vacuum's geometry. Also, neither the guna's nor the created vacuum in the absolute sense resonate. What resonates is the synchronized groundstate, as accurately described in QFT, and which in this context can be seen as the mediator between the Trigunatmika and the geometrized vacuum. This phase is probably analogous to the so called Bhaeravii stage in philosophy - it is correctly intuited but not explained in great detail.
Most certainly the original guna's are not excitations - they have no physical dimensions and do not represent physical quantities and they are not vibrating or otherwise changing. They are merely a substratum of dimensionless ratio, locked in an eternal cycle, forming the modus operandi of longitudinal as well as transversal waves, of non-linear as well as linear interaction, and of the scalar and vector fields of quantum theory.
Hence, in hindsight, the "Trigunatmika" of philosophy might be interpreted as the ultimate abstract or axiomatic representation of the synchronized groundstate in quantum physics. This is further justified by the fact that scalar field excitations must not be sinusoidal, in order for vacuum geometrization to take place, as long as they are synchronized.
Summarizing, there is a profound mathematical and physical relation between the geometry of the vacuum, and a single, dimensionless recursion ratio. The latter functions as a universal creation operator, which may be evaluated philosophically as the triangle of forces, and in physics as quantum field interactions.
P.R. Sarkar, Ananda Sutram, Chapter 4
G. Srinivasan, The Secret of Sankhya, e.g. page 12