एको हि रुद्रो

A New Mathematical Approach to :

शिव-अथर्वशीर्षम् 

Shiva-AtharvasheershaM

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I started reciting the above Vedika text in the year 2009.

I am well aware that no Vedika text could or should be translated into any language and should be learnt only by way of reciting the same. 

The Vedika text may have or may not have meaning but has a purpose definitely no doubt, always. 

Meaning is of secondary importance.

(Or, It is like a painting, which may have or not have a meaning yet has a significance.)

The essence however is revealed to one who recites and when it is recited strictly in tune with, and according to the perfectly correct and proper pronunciation, because Veda (वेद) is kind of shruti (श्रुति) and is either heard by a Rishi (ऋषि) or one who in consciousness is synchronized with the consciousness of the corresponding Devata (देवता).

Learning this scripture in this way, one day it suddenly dawned upon me that I could relate this experience with a mathematical model, that I had worked out upon while I was studying in the school.

But at that time I couldn't get what it was all about. Now after having recited this Vedika text for so long, I am awakened to the fact that I knew the relation between this text and the mathematical model I was thinking of in my school days.

The Premise and the Theorem :

A simple way is by asking the question --

"How to transform a sphere mathematically into a plane and vice-versa?"

I started in this way:

Sum of the three angles in a triagle is 2 right angles.

We can imagine a circle revolving about its diameter as axis. Given that circle is always a plane, let us choose a point that is lying on its circumference.

Revolving the circle about the diameter as an axis generates a sphere.

On the circle, let us choose any two points on the either side of the diameter.

These points joined to the end-points of the diameter would form two triangles.

(We already know) The sum of the 3 angles in each of the two 🔺s is two right angles.

Thus, on the circle, the sum of the measure of the angles of these triangles is 360° or 4 right angles. Again, the same result could be obtained in an alternate way also(?).

Now when we rotate the plane (where-upon the circle is lying), about its diameter as the axis, the four points (two vertices / points on the circumference, and another two on the corresponding plane, we see what is true for the sphere is also true for the plane.

This suggests (and may be, proves also) that the sphere is a transformed plane, and again the plane is a transformed sphere.

Though I can't say if I have discovered some-thing really quite true or not, I do find that the Vedika text points out the same.

यो वै रुद्रः स भगवान् यश्च ब्रह्मा तस्मै वै नमो नमः।।१।।

...

यो वै रुद्रः स भगवान् यच्च सर्वं तस्मै वै नमो नमः।।३२।।

--

Hence Proved.

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