Real and Unreal.

Mathematics

of 

The Real

and

The Unreal.

The 7 Dimensions :

The Seven Dimensions in Space Time could be explained by Mathematical approach as under.

We know the Cartesian Co-ordinates.

First we design a 3-D model with three axis, namely : X, Y and Z.

Then the Real Material Space is assumed to hold the Space, or the Space is held through and in these three dimensions.

Now let us turn to the the assumption of the imaginary plane, based upon the idea of an imaginary number i, generated when we try to find out the square root of the integer -1.

I don't know who might have 'invented' the idea of this number but first of all, I learnt of this concept in the Plain Trigonometry.

I remember how I started with The :

De Moiver's Theorem,  which states :

(cos x +i sin x) ^n = cos nx +i sin nx, for all real values of 'n'.

While proving this theorem however, the 'i' just gets eliminated.

The same. 

'i' = √-1, 

With the help of a real and an imaginery one helps in creating a Plane where the two axis are X and iY.

A point on this plane could be expressed in the form :

(x, y) or (x+iy) .

So,  there is the Real Plane XY where a point will be of the form (x, y), where x and y are real numbers. 

And likewise we devised this imaginary one, where a point will be of the form (x, iy).

Extending this rationale to the Space with the three dimensions X, Y, Z  we could get ix, iy  and iz.

So a number on any of the three imaginary planes would be of the any or the either of the form :

(x, iy), (x, iz), (y, ix), (y, iz), (z, ix) and;

(z, iy).

This gives the idea of three Real Planes, namely : {XY, XZ, and YZ}. 

And their counterparts as:

{iXY,  iXZ, and iYZ}.

Is this all hypothetical?

Obviously, the Real Space {XY, XZ, YZ} Is perceived through the senses or the sensory organs and is a material Reality, though may or may not be a substantial one.

Still there is an assumed Real Time is known or thought of to exist in terms of The Past, The Present and The Future.

Also at the level of experience the three are though intangible, but their existence could be ascertained by The Scientific Physical Experiment.

This is again the Dimensions of Time, with these three Dimensions referred to as above.

What about The Reality of these three kind of Time?

Even if The Past, The Present, and The Future couldn't be thought of to exist apart and independent of / from "Now", could be "proved" beyond doubt to exist in the realm of "The Mind".

The Three therefore could be conceived of as the "Mental Reality", corresponding to to "the Space {iXY, iXZ, iYZ}.

Even more depending upon the knowledge of the The Past, and The Present could be proved to exist and by thinking of, accepting the"Experience", "The Future" too could be anticipated / projected. And Though a particular "event" may be predicted to take place in this " the anticipated / projected Future", the same could not be forced to be brought in "The Now".

Still the "The History" is believed to have "happened" by everyone without any doubt and is individual and different from others, one hardly denies the "Collective History" of a society, culture, country.

In what "Time" does this "History" happen?

There could be another point of view :

Suppose, and let us consider a point {0, 0, 0}  in the two Two Spaces : namely the material physical space, and the mental imaginary of time, could the moment of "Now and Here" be thought of as The Timeless Now, though without a beginning or an end?

Apart from the imagined Past, and The "Thought" of The passing Present, and other than the anticipated / projected Future, is it not the very essence of Time itself? Again is it not the very essence of Space also?

Could this "Here and Now" / The Eternity beyond the above six Dimensions, could be accepted as "The Seventh Dimension?

--

Meanwhile :

Incidentally and interestingly looking for the Hebrew word for the English word "Future", I got a word in Hebrew that sounds like the Sanskrit / Hindi word : "अतीत".

This Sanskrit word when pronounced like this, means : "The Past"!

Two verses of yore come to mind :

अस्ति कश्चित् स्वयं नित्यं अहं-प्रत्ययलम्बनः।।

अवस्था-त्रय साक्षी सन् पञ्चकोषविलक्षणः।।१२५।।

(शङ्कराचार्यकृत विवेक चूडामणि)

यदा ते मोहकलिलं बुद्धिर्व्यतितरिष्यति।।

तदा गन्तासि निर्वेदं श्रोतव्यस्य श्रुतस्य च।।५२।।

(श्रीमद्भगवद्गीता अध्याय २) 

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