SANKHYAKARIKA 
1. The dynamic substratum:
                            Investigating the triad of interactive                             stressesshows that such interactive modes of stresses exist but it would not have been detectable, had it not been for the existence of the synchronised - perpetual - dynamic - unmanifest state of existence (of the substratum).
3. The axiomatic three dimensional wave fundamentals of the substratum.
                            Fundamental or root resonant oscillatory state is synchronised, coherent and stable; the first interactive oscillatory state is of maximum intensity; then there are seven levels of the harmonic oscillatory interactive stages followed by an expanding radiation above a sixteenth order of the fundamental value; the nuclear core is neither oscillatory nor harmonically interactive.
8. The reason why the fundamental SUBSTRATUM is not detectable.
The non delectability (of the substratum) is due to the extremely attenuated reactions put out and not because it (substratum) does not exist. Only reactions are detectable. For when the reaction of the primary or first displacement takes place then a sequence of oscillations are detected that are either in its original form or harmonics .
9. Logical reasons why the SUBSTRATUM MUST exist if manifestation EXISTS.
                            It is a logical error to accept that continuous or all possible modes of action (manifestation) are possible without a physical cause; the ability to act in all possible ways must be due to the existence of a cause, therefore it becomes an axiomatic rule.
11. Characteristics of the three states of phenomenal interaction. (GUNAS)
                            The inability to discriminate between the triad of stressed states that form the dynamic connection is the cause of not detecting phenomenon in a synchronised, static or unmanifest state. The triplicity of dynamic forces that connect it, is a principle that applies to the first or primary intense state and the succeeding reactive states of manifestation and likewise to the nucleus which however is in the opposite state (non detectable state).
20. The state of sustained interraction is a state of balance
Because of the proximity of the static and dynamic states the static state seems dynamic and through the action of the gunas the dynamic seems to behave in a neutral mode that maintains a balance.
30. Definition of a cyclic vortex and a spherical harmonic oscillator.
When the oscillatory cycle counts, in all directions, act simultaneously or synchronously and is raised to the 4th power, a cyclic self-supporting vrithi (photon) is formed. When it acts non-synchronously or sequentially, it becomes detectable and measurable with a degree of certainty, in the initiating state, prior to the above. When the oscillatory count reaches the power of three and becomes synchronised, it acts simultaneously in all directions. It is then in a self-supporting harmonic oscillatory state but is not detectable or observable.
31. The cyclic vortex is kept in continuous oscillation only by its internal potential.
The cyclic vortex or spherical oscillator is kept in continuous interactive exchange up to the very end (limit) only by the nuclear or core potential developed by the mutual exchange of internally motivated and triggered self similar and self organised impulse or force and there is no other external potential cause.
37. Extraction of potential energy from the Purusha domain.
                            A comprehensive and extraordinary use can be made in the following way. The potential of the purusha can be attained from the minute coherent state hidden inside the it by repeated, precisely triggered inputs to initiate the primary interactions.
46. Interactions in the synchronised state causes 50 orders of change.
The axiomatically ascertained order of the spectrum of interactive states due to the conditions of unbalance, non synchronisation, balance and coherent synchronisation caused by the interplay of three guna modes of interaction are 50 (order of powers).
62. interactions are cause of manifestation as a holographic phenomenon.
Therefore, nothing is bound, released or translocated. Only the oscillatory wave forms of interactions is bound or superposed by synchronisation, released by desynchronisation and transferred by transmigration due to unequal displacements and this dynamic state continues endlessly.
63. interaction.
                            The oscillatory waveforms superposition itself by its own potential to form the nuclear density by compressing it's waveforms to the seventh power when it becomes equal to the static nuclear potential and when it expands it releases all as one waveform at the same time.
67. conversion of kinetic force into static potential as inertia or mass
The basic principle of acquiring a mass is by synchronous super-positioning of oscillatory interactions on components into a coherent and super symmetric state that is relatively static by allowing the spin angular momentum to be converted to a dense, potential state by exchange or accumulation through a self similar proportion or ratio.
68. the final synchronised, coherent , dynamic state of isolated nucleus.
                            The process of acquiring mass is given effect by superpositioning the interactive vortex like waveforms by changing it into a gradually diminishing cyclic interaction that reaches a synchronised and balanced state within the first or primary activity boundary. The unhindered components of the substratum in the nuclear or central region within the primary boundary act, and behave in a synchronised state of relative freedom because of both of these factors - quality of coherence & synchrony and quality of perpetual dynamism – therefore isolation or freedom to exist unhindered -- is ensured or accomplished.
                            Comparing Sutra 1.
                            Investigating the possibility of eliminating the triad of stresses shows that methods exist but the results from such methods would not have been successful had it not been for the existence of the absolute - eternal - dynamic – un-manifest state of existence of the substratum.
                            The final proof of the entire spectrum of manifestation after sequentially analysing the logical factors is given in this Sutra. The opening Sutra itself follows the principle of looping back to create a circular rationale by choosing a phraseology that elliptically negates itself. The triad of stresses is a reference to the GUNA interactive states of TAMA, RAJA and SATWA. This Sutra explains how the Satwic nature of the vortex like interaction of the un-synchronised waveforms outside the primary boundary or Pradhana state, drift towards the nuclear centre because it is in a relative state of rest due to the coherent and synchronised condition of the PURUSHA location. The isolation of the nuclear core has an important significance for the dynamic state of the nucleus is possible only if there is a perpetual harmonic oscillation. Hence the nuclear core is in a perpetual harmonic oscillatory state that decays in infinite time or the vibratory state continues eternally.
                            The Raja region closer to the Satwa interface has a larger oscillatory displacement amplitude but at the other end near the PURUSHA interface the oscillations combine or superpose together and act simultaneously as a coherent set of synchronised vibrations with a diminished amplitude. As the oscillatory ensemble drift towards the centre, the super-positioning quality increases the inertia or mass and at a particular point the superpositioning density reaches a maximum and all detectable oscillatory movements synchronise and act together in a coherent breathing mode or a whole spherical surface vibrates as a unit. Therefore the innermost boundary is isolated or screened by the outer spherically oscillating surface. The inner, static, stationery, passive, dense with maximum number of oscillations simultaneously occupying this location at the nuclear PURUSHA core acts as potential sink but because of the screening spherical boundary it can never become active enough to lose its' attracting potential or sink status. The screening spherical surface in the breathing mode is in an interactive Raja state that carries out the change from a sequential oscillatory state to a parallel or simultaneous super posed state. Since this conversion takes place over a rate changing factor of 2, there are (8-1) 7 intermediate levels of change as explained in Sutra 3 , those describing the Guna states and Sutras 63 & 65. The most important underlying principle is that all the descriptions pertain ONLY to vibrations taking place on or in the undetectable components of the SUBSTRATUM. The entire theory is based on analysing the eternally dynamic holographic state of the SUBSTRATUM








The Sutras or logical theorems are in Sanskrit is summarised and transliterated in                             Sanskrit Sutras and                             Sumsutra detail out the principles of the avantegarde theory. A few of the significant theorems are given below  to highlight the intellectual basis of derivation of principles that has not yet found aplace in modern science.