Hofstadter, in his book *Gödel, Escher & Bach* – “Consider ‘The Three Spheres’ in which every part of the world seems to contain, and be contained in, every other part: the writing table reflects the spheres on top ofit, the spheres reflect each other, as well as the writing table, the drawing of them, and the artist drawing it. The endless connections which all things have to each other is only hinted at here, yet the hint is enough. The allegory of “Indra’s Net” tells of an endless net where every individual ātmā is a crystal bead. The great light of “Absolute Being” illuminates and penetrates every crystal bead; moreover, every crystal bead reflects not only the light from every other crystal in the net – but also every reflection of every reflection throughout the universe…..To my mind, this brings forth the image of renormalized particles: in every electron, there are virtual photons, positrons, neutrinos, muons and so on each in every other….But then another image rises: that of people, each one reflected in the minds of many others, who in turn are mirrored in yet others, and so on.

◊ Let us then look at the Sanskrit Alphabet itself, its *varnas * ( vaNa- ) , its structures, its symmetries….

**Notes for the Sanskrit Alphabet – **for extempore explanation

- The Sanskrit alphabet reflects the symmetries of the macrocosm around us into an arrangement of
*varnas*that can virtually give rise to all microcosmic sounds in our lives. This universe as we are now understanding is non-linear, its vast energies entwine in yet mysterious ways, giving rise to islands of order and chaos as symmetries within endless symmetries.**[32]**In a linear, idealistic world energy lends itself to simple cause and effect solutions – I push this object and it moves forward – in a non-linear equation this is not so. A push here may not result in an immediate effect there, the effects may collect over ‘space and time’ zones to precipitate*entelechies*, sudden occurrences or epiphanies which seem totally disconnected. Or small effects can cause huge changes. The Global weather is the first non-linear equation widely studied on the super-computers since the 80’s and the ‘El-Nino factor’ is now legendary. A small current in the Pacific has been empirically found to control huge changes in world weather. - An isomorphism from external reality to discursive language is created, thus : as we speak the first vowel ‘a’ ( A ) to the last mute ‘m’ ( ma ) – the glottis to the labials are traced and the entire mouth is virtually ‘shaped’ in the
*varnas*. Next, the*svars*, or vowels are 13 in number according to the*Atharvaveda Prātiśākhya*and*Rgveda Prātiśākhya*. (Some texts talk about more, but I feel this number is correct.) – ‘a’ ( A ) is the symbol for*Brahman*as shown above. The vowels are likened to the energies of the day and the consonants to the night.**[33]**The ( A ) if suppressed, and treated as the Unknown; the Unseen or the the Undeterminable it leaves us with 12 signs. These are the number of months of the sun-signs. ‘a’ ( A ) is further embedded as a suffix in every mute and sibilant directly**[34]**and in the semi-vowels inherently – thus It constitutes every spoken word, sentence and so on. The mutes are the manifested, reflected glory of the*Brahman*and are likened to the night. They are 25 in number and so is the number of synodic moon cycles**[35]**in a year multiplied by two – to account for the waxing and waning part of the cycle. This is one symmetry. If we treat the mutes and sibilants( and neglect the*anunāsik*) as one group then we see 12 combinations of*alp*&*māhāprāna*. Pt.Motilal Shastri explains in detail**[36]**how the*chhands*are derived from the annual, apparent movement of the sun from the tropic of Cancer to the tropic of Capricorn. The immediate solar cycles are thus embedded in the spoken word… - The Nirukta derives
*svar*as the*sūvarna*or pure sounds. The ( A: ) sound is the*pratyāhār*for the entire alphabet – and ( ! ) for the vowels and the mutes : that is the*varn*as covering the shape of the mouth. This is further corroborated by the the Chakra system**[37]**: ( A: ) is the*bīja*for the 7^{th}and the highest Chakra or the Crown –*Sahasrāra Chakra*; ( ! ) is the*bīja*for the next highest, the 6^{th}or the Third-eye –*Āgyā Chakra*; ( h ) for the 5^{th}or the Throat –*Viśudh Chakra.*

( A ) and ( [ ) are explained as two Infinities – *pūrnam adah *( Ad: ) & *pūrnam idam *( [dma\ ) in the *Shānti Pāth. *This links beautifully with Cantors’ theory of Transinfinite cardinals – where the ‘countable infinity’ is …. αº (aleph-naught) ; the uncountable infinity of the continuous line e.g. is …. α¹ (aleph-one)**, **and Omega that which cannot be reached.**[38]**

[To my mind like ( A ) is symbolically and akin to √-1 , similarly the other 3 primary vowels also have possible other mathematical symbolic representations. As a suggestion this could work on the lines that ( [ ) is the exponential ‘e’; ( ] ) is like π and ( ? ) is like the number system ?? There is a mathematical coding….but this needs to be investigated further.]

The mutes also begin with ( kM ) as *Prajāpatī * and ( KM ) as *shūnya* or zero. Both are also equated to *Brahman* representing the increasing *side * and decreasing side of creation.

- The Semi – Vowels are the
*antahstah*or they reflect the inner energies. Their significance in the Chakra system is that they comprise the*bīja*for the first four*Chakras*viz. ( ya ) the 4^{th}or the Heart –*Anāhat Chakra*; ( r ) the 3^{rd}or the Navel –*Manipūr Chakra*; ( va ) the 2^{nd}or the genitals –*Swādhisthān Chakra*; ( la ) the 1^{st}or the lower Pelvic –*Mūldhār Chakra.*It would be interesting to look at these and some conjugal words e.g.*yam*( yama ) –*māyā*( maayaa ) ;*vis*( ivaYa ) –*śiva*( iSava ) ; there is a metaphysical representation which is need further perspicacity. - The Sibilants, also called the Fricatives are the
*Ūsma*( Sa ), ( Ya ), ( sa ) and ( h ) . These can be linked to the three*Shaktīs*( SaR ), ( ]Yaa ), ( satI )…the energies of the manifest universe. Their consorts are*Brahmā , Viśnu*and*Shiv…*the two different ś and s….conjugate words. In the Vedic system energy is treated very differently from the western scientific method.

*shri * is the countable domain. Here the energy transactions are conserved. That is what leaves one spot diminishes from there and increase at the receiving end.

Hofstadter, in his book Gödel, Escher & Bach – “Consider ‘The Three Spheres’ in which every part of the world seems to contain, and be contained in, every other part: the writing...

Then the population grew and spaces shrank. Ordered life gave way to chaos and the Yuga changed. Mantra gave way to tantra, and with it came invasions, pillage and mass migrations. The...