Transcendental Basis of Vedic Mathematics

 

(Panel of Jury set up by the Bhartiya Vidya Bhavan to select candidates for Shri Guru Gangeshwaranandaji Veda Ratna Puraskar-1997 had selected Dr. S. K. Kapoor for his excellence and service rendered in the field of Vedic Mathematics. The Panel of Jury had considered the evaluation report titled "Transcendental Basis of Vedic Mathematics". As good information about some aspects of Vedic mathematics of the report would be of great interest for the research scholars working in the field and as such same is being included here).

 

My studies culminating into the Doctoral Degree for my thesis titled “Mathematical Basis of Vedic Literature” accepted by Faculty of Mathematics, Kurukshetra University, Kurukshetra, summed up conclusions as under:

 

Sum up of the results as those flow while working florescence-systems on Om formulation within framed domains are:

1. In a nutshell, the conclusions are that the mathematics precedes the composition of Rigveda Samhita. Vedic Mathematics, helped to transform the Universal set of knowledge as a speaking language and in the process itself as well stood transformed as such and assimilated its identity into the Vedas. Within Vedas, all disciplines of knowledge transform their identity and get assimilated into florescence systems admitting 432000 components channelizable on Om formulation. As such, need is to rewrite the history of mathematics, even the intellectual history of man well admitting fundamental unity of human intellect, the message with which the Rigveda ends “Samanam-astu.........Sushasati”.

 

2. One line conclusion, of all the above conclusions, is that the entire Lower Vedic Mathematical domain stands exhaustively covered by single formula:

 

3.  And the above formulation as well is nothing but the extended version of Divya Ganga flow through Om formulation. Divya Ganga flow crystalizes as florescent frames for the Eternal paths beyond and to which the Vedic florescence systems ultimately transformed.

The thesis is divided into 12 chapters with contents as:

1. Vedic mathematics

    (Introductory concepts)

     – To settle the text

 

2. Om formulation

    (Vedic mathematics applications)

     – To settle equivalent formulations:

· Om

            · Pranava

            · Aum

            · Onkar

            · Udgitha

            · Vashatkara       

            · Swastik

            · Anmoh

 

3. Vedas

    (Mathematics as a speaking language)

· Rigveda

            · Yajurveda

            · Samaveda

            · Atharvveda

 

4. Adi Valmiki Ramayana

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

 

5. Urmahabhartam

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

 

6. Srimad Bhagwad Gita

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

 

7. Sri Vishnu Shastranam Satotram

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

 

8. Srimad Durga Saptsati

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

 

9. Upanishads

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence.

    – Prasno Upanishad; Derivation of the frame and systems.

 

10. Shad Darshan           

     (Vedic mathematical basis)

     – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence of

            · Nyaya Darshan

            · Sankhya

            · Vaisesika

            · Yoga

            · Mimamsa

            · Vedanta

            · Sankarshna

 

11. Puranas

    (Vedic mathematical basis)

    – Derivation of the frames and systems on

    Om formulation in terms of framed domains sequence of Puranas.

    – Srimad Bhagwat Puran; Derivation of frame & system.

 

12. Devanagri alphabet

     (Vedic mathematical basis)

– Derivation of frame and systems of

the alphabet, its structure, forms and formulations of the

letters within Pranava domain on

Om formulation for working out the sunlight

florescene systems within framed domains.

– Maheshwara Sutras and Sanskrit grammar.

– Saraswati Mantras and Vedic grammar.

– Derivation of classical and languages alphabet.

      – Mother computer language for all computer systems.

With respect to the value of research work, Professor in Structure Engineering, Dr. Anand Parkash of Civil Engineering Department, University of Roorkee, had conveyed in 1986 to Prof. L. R. Varmani, Department of Mathematics in Kurukshetra, Kurukshetra:

“It is my pleasure to convey to you my appreciation of the work undertaken by Mr. S. K. Kapoor in the basis artifice of our alphabet and number system conveying the basis energies channelization into atomic frames and their structures. His study of the sunlight reflecting on the different number frames resulting into all artificial intelligence and value judgment has the potential of a breakthrough in scientific thoughts bearing on the understanding of our universe permeating throughout our vedic literature.

 

I take this opportunity to congratulate you all the all valuable inspiration and guidance for the brilliant research output by him.

 

With regards.”

Simultaneously, Professor Anand Parkash had enclosed general appreciation of the research result as under:

“It was very satisfying to listen Mr. Sant Kumar Kapoor to decipher the hidden code in the construction of alphabets and numbers channelising the basis energies in the atomic frames constituting their structure. His formulation that there are 108 basic energy sources constituting the fundamental format of the atomic tables is noteworthy.  

His attempt to have breakthrough with the insight into sunlight being the basic source of all artificial intelligence and value judgment in this universal, interlinking the modern scientific knowledge with the vedic thoughts, deserve all encouragement and support for advancing the cause of applied research.

 

I with him all success in his mission.”

Professor J. N. Kapur, a well-known mathematician of our country, having hundreds of research articles and dozens of books of mathematics, and experience of more than four decades of actual teaching of mathematics at graduate and postgraduate levels, and of guiding several research scholars, had occasion to consider the geometrical validity of the framed domain sequence being arrived at in the thesis i.e. (aⁿ:2na^n–1, n=1, 2, 3, 4, ...) and his considered opinion conveyed to Professor Krishanaji, read as:

“The sequential interpretation of a³/6a², a⁴/8a³, a⁵/10a⁴ are valid.

 

‘n’ dimensional hypercube has ‘n’ dimensional content ‘an’. It has ‘n–1’ dimensional content ‘2na^n–1’ and the ratio is ‘aⁿ/2na^n–1’. This has also ‘n–2’ dimension, ‘n–3’ dimension, ...... content which  I have discussed in my article.

 

This part can be rigorously justified.”

Professor Krishnaji in his letter dated March 31, 1988 addressed to Hon’ble Chief Justice of Punjab & Haryana High Court had requested for sparing the services of mine for institute of Vedic Science for two years conveying as:  

 

“We must congratulation you for having in your department such a brilliant and creative mind as Sri S. K. Kapoor, C.J.M., Rohtak, who can authentically expound the foundations of all order in nature, as the basis of the Vedic literature available to us  through the oral honoured Vedic tradition. The work by him in his Ph.D. thesis is so basic that the authenticity of the Veda and Vedic literature is established with such mathematical precisions and credibility that through his work, it is possible now to establish the traditionally available Vedic literature as the most orderly and comprehensive literature of a perfect science of life. This has the potential to revolutionise the education in all parts of the world and bring perfection to life on Earth.

 

This revival of the absolute order with which the unified wholeness of natural law functions and maintains orderliness at every stage of evolution of life,  is a blessing for every one in this scientific age, which is rising to be the age of enlightenment through Vedic Science, Maharishi Mahesh Yogi is currently formulating the Vedic science and will very much appreciate, if Sri S. K. Kapoor’s time and talent are available for structuring Vedic science at a rapid pace, which is such a perfect science of life that with its both approaches - subjective and objective, it far exceeds the benefits of modern science which functions through objective approach only. We will be grateful to you, if you kindly spare his services for our Institute of Vedic Science preferably for two years in order to propagate the results of his research to our universities in Europe and America - Maharishi European Research University, Switzerland, Maharishi International University, Norway, Holland and USA and the forthcoming University of Natural Medicine in Brazil and other institutes of higher learning.

 

With respectful regards”

The report of work done during two year (1988 to 1990) as Visiting Professor in the institute with Professor Krishnaji as Chairman, as submitted by Professor Krishnaji to Hon’ble Chief Justice of Punjab and Haryana High Court, Chandigarh, is as under:

“Shri Sant Kumar Kapoor, Chief Judicial Magistrate, Rohtak, was granted leave by your goodself for two years to carry on research in Vedic Mathematics as a Visiting Professor, in our Institute. He joined us on 25th May, 1988.

 

Shri Sant Kumar Kapoor has done exceptionally meritorious work in Vedic mathematics. He has developed concepts involved in the structure of “Om” and the two Vedic structures “Know Brahman quarter by quarter” and “know fourth quarter Brahman as integrated value of the first three quarters.” He has also developed Vedic concepts of multi-dimensional geometrical space and structural frames and systems. He has established that the regular bodies of geometrical domains constitute a framed domains sequence.

 

aⁿ/2na^n–1, where n = 1, 2, 3, 4, ........

and a=dimensional unit.

 

Using the above concepts, he has analysed several vedic scriptures. Following are the results of his research activity:—  

(i)  Mathematical concepts and application to structural frames and systems of Sri Sri Vishnu Sahastranam Stotram.  

 

(ii)  Vedic mathematical concepts and applications to structural frame and systems of Sama Veda Samhita.  

 

(iii) Vedic mathematical concepts and application to structural frames and systems of sixteen sutras.  

 

(iv) Vedic mathematical concepts and application to structural frames and systems of Shrimad Bhagwad Geeta.  

 

(v) Vedic mathematical concepts and application to unsolved mathematical problems – Five proofs of Fermat’s Last Theorem.

All the above have been published as Institute Reports. The last one “Fermat’s Last Theorem” has been published in the form of a book. Three Proofs have been published as a research paper in M.I.U. Journal “Modern Science & Vedic Science” Vol.3, No. 1, pp 75-104, 1989 USA. The two proofs have been submitted as a research paper to “Mathematical Reports of the Academy of Sciences” Canada. This work has acquired great importance because the original theorem was proposed by French Attorney and mathematician Pierre de Fermat in 1637 and nobody has succeeded in getting the proof inspite of continuous attempts by distinguished mathematicians for more than 350 years. Shri S. K. Kapoor has been awarded the Ph.D. degree by the Maharishi Research University, Seelisberg, Switzerland for his work on Sam Ved Samhtia.

 

The leave of Shri S. K. Kapoor is due to expire on 24th May, 1990, hence this report is sent for your information and official record.”

Simultaneously, Professor Krishnaji had made a request with Hon’ble Chief Justice for further leave for Institute, which was allowed and I worked for another two years (1990-1992) as Visiting Professor and my research results have been summed up in one of the articles by Professor Krishnaji in Mathematics Today and reproduced as Appendix A of my book “Fermat’s Last Theorem and Higher Spaces Reality Course”.

"Vedic mathematics was lost to the modern world over several thousand years. Fortunately, the renowned scholar Jagadguru Swami Bharti Krisna  Tirthahji Maharaj, Shankracharya of Sharda Peeth and Goverdham Math discovered 16 Vedic Sutras and 13 Upsutras in the Parishistha of Atharvved. After continuous Sadhana and hardwork, he was able to decode them and get wide ranging mathematical principles and applications from them. He found that these Sturas cover all aspects of mathematical science in depth. He wrote sixteen volumes on Vedic mathematics covering all aspects of these sutras in depth. Unfortunately, the manuscript was lost which fact was finally confirmed in 1956. During his last days when his health was failing and his eyesight was weak, he rewrote from his memory an introductory account of the subject. He attained Mahasmadhi in 1960. Later in 1965 a book entitled “Vedic Mathematics” was published. This book is edited by Dr. V.S.Agarwala with the help of Smt. Manula Trivedi on the basis of manuscript and notes left by Swamijee. This book is therefore, the first book to give a glimpse of Vedic mathematics and to reestablished the subject. The book attracted the attention of several Indians and foreigners. Dr. Narinder Puri of Roorkee University took up the cause of Vedic Mathematics in right earnest. His Holiness Maharishi Mahesh Yogi spread the message of Vedic mathematics throughout the world by sending Dr. Puri to several countries and making it possible for many schools all over the world start teaching Vedic mathematics. A former minister of Human Resource Development, in the Government of India, Sh. P.V.Narasima Rao made a reference in Parliament about the work on Vedic mathematics which created a wider interest in the nation. Rashtritya Ved Vidya Pratishthan started looking into the matter and appointed a committee on Vedic Mathematics. During the same period a controversy arose about the source of these 16 Sutras and the level of mathematics contained in them. One view was that these Sutras do not have a Vedic source and that they deal only with simple arithmetical operations.

 

In the meantime, Dr. Sant Kumar Kapoor, inspired by integrated impact of the Ganita Sutras, started working on basic aspects of the mathematical structure of Vedic literature. He got several clues from Ganita Sutras, Maheshwara Sutra and many other Vedic Mantras. He was inspired by the divine blessing from Yograj Sri Sripad Babaji of Vrindavan and His Holiness Maharishi Mahesh Yogiji at Maharishi Nagar. He has been awarded Ph.D. degree by Kurukshetra University, in December 1990 on his thesis titled “Mathematical Basis of Vedic literature”. His work shows that the potential of Ganita Sutras is much higher than what appears in the book “Vedic Mathematics” and the mathematical structure of Ganita Sutras is similar to that of Samved indicating that Ganita Sturas belong to Vedic family. His work shows that the Devnagri alphabet and the Vedic scriptures are mathematically organized. Perhaps a more important aspect of his work in the existence of Real Geometric Spaces of higher dimensions in the form of a continuum. A comprehensive description of his research is given in the next section. Dr. Sant Kumar Kapoor is presently working as a Visiting Professor in the Indian Institute of Maharishi Vedic Science & Technology which is a part of Maharishi Ved Vigyan Vishwa Vidyapeeth, Maharishi Nagar. Three research students are working in our institution on the structure and properties of fourth, fifth and sixth dimensional spaces.

 

Vedic mathematical Research done by Dr. S. K. Kapoor

 

Studies reveal that knowledge and organisation of knowledge are two distinct disciplines. The thesis of Dr. S.K.Kapoor is substantively covering the organisational aspect of Vedic knowledge. The main results of the thesis and his subsequent research can be summed as under:

 

1.          Real 4 and higher dimensional spaces do exist.

 

Real 4 and higher dimensional spaces were not only known to the Vedic seers but those were precisely availed by them for organisation of vedic knowledge.

 

Vedic alphabet format is a precise setup of4-space. The alphabet letters of Devnagri script, their forms formulations, combinations and rules etc. are precisely mathematical.

 

Sakala Rigvedic Samhita is the oldeset scripture of mankind. The organisational format of this Samhita is precisely that of real 6-space.

 

Vedic knowledge accepts a measuring rod constituted by regular bodies of the first six real dimensional spaces which admit formulations as:

   

The organisational format of Srimad Bhagwad Gita emerges to be of prime importance as it is parallel to the organising power of the knowledge content of the scripture. This format tallies with the format of human body on the one hand and the sun on the other hand as of real 6-space.

 

The Trinity of Gods namely Brahma, Mahesh, Vishnu are the overlords of real 4, 5 & 6 spaces respectively.

 

The geometrical continuum expressed as manifestation layers of 4 folds of consecutive dimensional spaces contents. These folds of the nth manifestation layer can be represented as under:

 

First Fold	Second Fold	Third Fold	Fourth Fold
Dimension	Frame	Domain	Origin
(n-2) space content	(n-1) space content	n-space content	(n+1) space content

 

The transcendence from one manifestation layer to another manifestation layer giving rise to the following (five steps) chain reaction or five steps which are possible within the setup of Panch Mahabhut.

 

Manifestation Layer	Dimension	Frame	Domain	Origin
nth	Space fold  (n-2)	Space fold  (n-1)	Space fold  n	Space fold  (n+1)
(n+1)th	Space fold  (n-1)	Space fold  n	Space fold  (n+1)	Space fold  (n+2)

 

Transition from one space to another space is to be had in terms of unlocking of the seals of the origin points of all the four folds of the manifestation. The modern mathematical models of transition from straight line to plane deserve serious reexamination. In particular the axioms of space filling curves and the axioms of ‘one’ without a predecessor deserve close scrutiny as their rationale emerges to be without basis.

 

The role of real numbers additive group (R,+) and real numbers field (R,+,×) with reference to straight line deserve to be differentiated.

 

The plane deserves to be studied as four geometrically distinct quarters. One faced plane and two faced plane are two distinct geometrical setups and they deserve to be taken up as such.

 

The concepts of origin and dimension are two concepts with respect to which the modern geometrical models are not up to date. These two concepts deserves to be studied in detail as transcendence to the higher dimensional spaces is possible only in terms of their understanding.

 

Human body is a compactified phenomenon of multi-layer physiological existence. The start with state of existence is that of waking state which is parallel to the expression of 1-space as dimension into 3-space domain. Sequentially, the existence  phenomenon unfolds until seventh state of consciousness which would be corresponding to the 7-space as  dimension into 9 space domain. The origin point of the 6-space, being the 7-space setup, the human body, geometrically, turns out to be hypercube-6 and this would explain how the primordial sound, the planetary effects, the Yajna oblations etc. operate and precisely influence the individual existence patterns.

 

Srimad Bhagwad Gita is one such scripture whose organisational format precisely workout for us the structural set up and frames of the 6-space. The study zone of Srimad Bhagad Gita can be worked as under:

The organisational setups of Ganita Sutras, Maheshwara Sutras, Saraswati Mantras, Gyatri Mantra and Om formulation deserve interdisciplinary explorations.

 

Sankhay Nistntha and Yoga Nistha are complementary and supplementary of each other and as such their complementary nature and supplementary nature deserve to be distinguished well. Non-differentiation of the same is bound to deprive us of most of the results in specific forms.

Now let me take up how the subject contents of my different books are indexed in their prefaces. First starting with “Vedic Mathematical Study of Structural Frames and Systems of Sri Sri Vishnu Sahastranam Stotram”, published by Maharishi Ved Vigyan Vishwa Vidyapeetham, Maharishi Nagar–201304, (INDIA) (1991):  

 

“Preface

 

The present study aims at approaching the organisation format of the scripture; Sri Sri Vishnu Sahastranam Stotram. This is a scripture of 107 verses and it composes 1000 names of Lord Vishnu, who is overlord of real 6-space. Though the modern mathematics too talks of dimensional spaces higher than three but those are mere mental-constructs. The modern mathematics has striped the concepts of dimension from geometrical reality and as such the suffix ‘Real’ before 6-space is of real significance here in this study.

 

If it is only while faced with problems of the classifications of the geometries of dimensional spaces and the sporadic finite groups, we are really face to face with the intensity and richness of each space beyond 3 space. Sylvestor’s classification theory of n+1 geometries of n-space is just a property of real 4-space. It is a simple shift from monad without partes which gives us 1-space as dimension of 3-space to synthetic monad of two parts of real 4 space with 2-space as dimension. In a sequence, the real 5-space and 6-space are having synthetic monads of 3 parts and 4 parts respectively and accordingly their dimensions are 3-space and 4-space.

 

Vedic literature avails real 4, 5 & 6 spaces for organisation of knowledge. These spaces respectively contribute 24, 25 and 26 Tatavs (elements / characteristics properties). The step beyond Sylvester’s classification or n+1 geometries of n-space would be to enter real 5-space where we shall be getting 2n+1 geometries of signatures –n to +n of n-space. The step beyond the 25th sporautic finite group would be a step into the real 6-space and we straight way get the number of elements of 26th sporadic finite group as 10×1264. And with it, the classification assignment over which practically we have consumed complete nine decades or this century and still 26th group is eluding, gets answer from ancien wisdom of real spaces. This would help us appreciate the ancient wisdom to accept the measuring rod of real bodies of first six real spaces admitting ratios of their domain parts as aⁿ:2na^n–1, n = 1, 2, 3, 4, 5, 6. 

 

This all is being added here just to impress upon the rationale for the choice of Sri Sri Vishnu Sahastranam Stotram for organisational study. However, I would like to add at the outset that by all means it is just a preliminary study into the structural frames and systems of this scripture and the real studies would follow from the pens of really the real privileged souls who, I pray, should spare moments from their blissful samadhi to give the desired direction to the flow of intelligence of the present generation.

 

Sri Sri Vishnu Sahastram Stotram is the holiest of the holy scriptures whose enlightenment was the last discourse to the Pandavas given by great Bishma from  his death bed of arrows in the battle field of Kurukshetra in the presence of Lord Krishna, incarnation of Lord Vishnu. This, that way, is the scripture of perfection and hence the proper scripture of the Sankhya nistha as well as the Yoga nishta.

 

His Holiness Sri Sripad Babaji initiated me into Sankhya nistha as the science of organisation of the Universe on the artifice of natural numbers. His Holiness Maharishi Mahesh Yogi has initiated me further in the subject that the Sankhya nistha is the science of self-organising power of the pure knowledge. The specific processing lines, which I describe as Sripad processing line is to know Brahman quarter by quarter and the Maharishi processing line is to know fourth quarter of Brahman as integrated quarter of first three quarters. The present study in a way is nothing but the extent to which I could comprehend only that much and over and above that are the limitations on language and what not and so the humble request that they may skip over such stages by their own contemplation which is the only guide in such like adventures or mortals like me regarding the vedic scripture of perfection

 

× × ×

 

With all humbleness this study is submitted with the hope that the advanced students of Vedic science and technology will continue the processing further into this and other scriptures. Here is a caution for them that the first correction which the modern mathematics needs in the discipline of geometry is regarding its hypothesis of space filling curves. This hypothesis deserves to be rejected. The second thing which I would like to suggest is that the continuum be approached the Vedic way as manifested layers of four-folds of four consecutive space-contents and not ‘individual dimensional spacewise’ as is being attempted at present by the modern mathematics. Before  submitting the present study for consideration of the scholars I feel it may duty to share the first principles of decoding the knowledge content from the organisational format of the Vedic scriptures. The keyword of this principle is Shardha and culmination is the word nistha. The principle operate as: Samsayatma Vinasyanti (Gita-4.40). Practical working rule comes to be that the doubt destroys everything, the scriptural commands deserves to be approached faithfully, the words of seers deserve to be taken up on their face value. To have an idea that how difficult it becomes to gain anything from the Vedic systems the moment one approaches them with an initial doubts, we can see what mess stands created by the individuals about the powerful systems of Ganita Sutras.”  

Professor Krishnaji has expressed by way of Forward of this book as:

“I am happy that, I am able to seek the blessings of H.H Mahairshi Mahesh Yogi on the first publication of the Indian Institute of Maharishi Vedic Science & Technology in a record time. Shri S. K. Kapoor, who is Visiting Professor in the Institute has produced, wonderful work, entitled “Vedic mathematical concepts and its application to structures and systems of Sri Sri Vsihnu Sahastranam Stotram”. This publication is the first publication or its kind in which Sh. S.K.Kapoor has introduced the Vedic geometric formula called “Gurudev formula” and has introduced the concepts of “Divya Ganga flow” and “Om formulation”. He has explained the basic difference between conventional geometry and Vedic geometry e.g., the point in Vedic geometry has a structure whereas the point in conventional geometry is dimensionless. He has gone into sufficient yet restrained details of the new concepts and the rules before applying them to the structural systems or the scripture Sri Sri Vishnu Sahastrannam Stotram. He has shown without any strain and without any doubt that Vedic mathematical concepts are able to explain unambiguously, the number of names of Lord Vishnu included in every individual Shaloka of the scripture. His writing comes directly from his thinking. His gift of thinking is original but the inspiration given by H. H. Shri Pad Babaji of Vrindavan and H. H. Maharishi Mahesh Yogi is clearly visible. The knowledge is drawn from the vast treasure of Maharishi Vedic science and technology but the representation is original.

 

In recent year, there has been a revival of the ancient Vedic knowledge because a very large section of people have started realising that Vedas are the infinite source of complete knowledge and have existed from times immemorial. However, there has been an unfortunate tendency, primarily due to ignorance, of comparing and trying to understand vedic science in terms of the modern science. Very few people realise that the modern science utilises only the objective approach whereas Maharishi Vedic Science utilises both objective and subjective approaches to gaining knowledge simultaneously.

 

The epistemological nature of the ancient Indian knowledge is based on the understanding that the process of intuitive revelation of true knowledge in the individual mind can be controlled by eliminating the difference in the operation of emotions and intellect through their unification by the techniques of Yoga Darshan. It will be of interest to the student of Vedic science, if they carefully understand the difference between modern science and Maharishi Vedic science.

 

Vedic mathematics is one particular component of Vedic science. Mathematics is called the queen of sciences and is the fundamental base on which all planning is done and all structures are raised. Shri S. K. Kapoor is using this as an axiom and has applied the Vedic mathematics concepts as an integral part of Maharishi Vedic Science and Technology to investigate in the volume a particular case of structures and systems of Sri Sri Vishnu Sahastranam Stotram. The readers may find it difficult to comprehend the subject during the first reading because they are used conditioned to the usual objective approach of conventional mathematics. The second and subsequent readings, however, will reveal to them the real meaning  of concepts and therefore, the immense beauty and power of this knowledge.

 

The Indian Institute of Maharishi Vedic Science and Technology is a research institute covering all aspects of Vedic Science & Technology including Vedic philosophy, structure of Vedic knowledge, Vedic mathematics, Ayurveda, Jyotish, Ganderva Veda Dhanurveda, Sathapatyaveda etc. The Vedic science covers the widest possible spectrum from point to infinity and back to the point and the infinitely expanding universe. I hope that the present publication will re-open the infinite sources to pure knowledge, which has always existed in the supreme consciousness and has been frozen in the self referral individual consciousness also from times  immemorial. One will find that before the main text there is an abstract table giving geometrical coordination of 1000 names of Lord Vishnu. To begin with, it may be incomprehensible to the understand reader, but it will certainly show that the Vedic geometry deals with the dimensions higher than 3, that is 4th, 5th, 6th dimensional frames whereas conventional geometry does not go beyond third dimensional frame.

 

The implications of this work are multidimensional and far reaching. One aspect is the Vedic claim that faithful recitation of Sri Sri Vishnu Sahastranam Stotram can cure all kinds of fevers. This can easily be understood because the studies reveal:

 

“The Vedic sounds are multi-dimensional domains’ frequencies from within a particular dimensional domain as the structure of that domain. When the sounds are pronounced, the frozen frequencies get initiated and the self organising power of the Vedic   sounds sets the frequencies’ potentialisation process into action. It is this process whose utilisation is the aim of different Vedic scriptures.”

 

This work is being submitted at the feet of H. H. Maharishi Mahesh Yogi for his blessing.  

 

Jai Guru Dev!”

The book “Vedic Geometry” of mine published by M/s. Arya Book Depot, Karol Bagh, New Delhi (in 1994) indexes it preface as:

“The present introductory volume aims to introduce the ancient discipline of Vedic geometry. We may formally define Vedic geometry as a discipline of Geometry based on Vedic concepts.

 

Studies of mathematical basis of Vedic literature reveals that 4 and higher dimensional reality was not only known to Vedic Rishis but also put to practical use by them for organisation of pure knowledge on geometric formats, particularly, real 4, 5 and 6 space formats.

 

Vedic comprehension of geometric reality is characteristically different from our present-day conclusion. Basic difference in the two approaches viz. modern approach vis-a-vis Vedic approach can be appreciated in terms of the concept of dimension. Modern Cartesian dimensional approach makes all dimensional spaces the linear dimensional spaces as much as that 1-space is to play the role of dimension for all dimensional spaces while, on the contrary, Vedic comprehension comes to be that n-2 space plays the role of dimension of n-space.This glaring difference may well be focussed algebraically as that as per modern model we may express 4, 5 and 6 spaces as A⁴, A⁵ and A⁶ while as per Vedic model their expressions comes to be (A²)⁴, (A³)⁵ & ((A²)⁴)⁶.

 

The above difference and impact of n–2 space playing the role of dimension of n-space comes to be that it requires 4 consecutive dimensional spaces to manifest a dimensional body as a 4 fold body having distinct dimension fold, boundary fold, domain fold and origin fold. Our well known solid bodies having cubes as their representative regular bodies avail 1-space as dimension fold, 2-space as boundary fold, 3-space as dimension fold,  and 4-space as origin fold. In general n–2, n–1, n and n+1 spaces together synthesis and manifest ‘n’ dimensional body which may be designated as n–2 manifestation layer. Also it may be designated as hypercube-n. This makes our modern set theory or binary compositions a study of 0 manifestation layer and Euclidean geometry a study of 1-manifestation layer while Vedic geometry takes up all manifestation layers within its domain.

 

The beauty of this discipline lies in its capacity to unify all discipline of knowledge as a single discipline. Illustratively, human body, sun, nucleus or nucleus of atom, 6-space, organisation of knowledge of Srimad Bhagwad Gita etc. etc. are all availing the format of hypercube 6 i.e. 4 manifestation layer. This would help us appreciate the uniqueness of approach and richness of content of this discipline. But this is just a first glimpse . Real bliss lies ahead with unification of entire existence phenomenon as impulses of consciousness.”

This “Vedic Geometry” book has 10 chapters with split-up of contents as under:

Chapter-1

Introduction  of the subject

1.1 Vedic geometry

1.2 Vedic knowledge

1.3 Vedic literature

1.4 Organisation of knowledge

1.5 Geometric formats

1.6 Oganisation parallel to knowledge content

1.7 Four space

1.8 Five space

1.9 Six space

1.10  Trinity of gods.

 

Chapter-2

Basic concepts and formulations

2.1 Synthetic monads

2.2 Manifestation layers

2.3 Transcendence at the origin

2.4 Regulation acceleration of transcendence

2.5 Measuring rod

2.6 Generation status of elements

2.7 Place value system

2.8 Power sets

2.9 Reflection operation

2.10 Structural constants

 

Chapter-3

Trinity of Gods

3.1 Trinity of gods

3.2 Lord Brahma

3.3 Lord Shiv

3.4 Lord Vishnu

3.5 Real 4-space

3.6 Real 5-space

3.7 Real 6-space

3.8 Mathematics of di-moand

3.9 Mathematics of tri-monad

3.10 Mathematics of tetra-monad

 

Chapter-4

Shadchakras

4.1 Shadchakras

4.2 Shadchakras format of human body           

4.3 First Shadchakra

4.4 Second Shadchakra

4.5 Third Shadchakra

4.6 Fourth Shadchakra

4.7 Fifth Shadchakra

4.8 Sixth Shadchakra

4.9 Coordination of Shadchakras

4.10 States of consciousness

 

Chapter-5

Vedic geometry

5.1 Vedic geometry

5.2 Mathematics of 4-space

5.3 Mathematics of 5-space

5.4 Mathematics of 6-space

5.5 Science of 4-space

5.6 Science of 5-space

5.7 Science of 6-space

5.8 Technology of 4-space

5.9 Technology of 5-space

5.10 Technology of 6-space