Dimensions and Space (Brahma, Vishnu & Shiva Loka)
Since our school mathematics, we draw
three axes as depicted below as three dimensions of three dimensional
frame of three dimensional space.
The message is that we are accepting line
as a dimension of 3-space and as such three lines together constitute a
three dimensional frame. This in fact is a particular case of general
rule that (n-2) space plays the role of dimension of n-space. In modern
mathematics as well mental constructs of higher dimensional spaces have
been speculated but their dimension always remains a line i.e. 1-space.
Obviously this concept is bound to recoil as it would make dimension and
space indistinguishable at least in 1-space where 1-space is to be
accepted as its own dimension.
On the contrary, the rule of difference
of space and its dimension as being of two units is well preserved in
Ramayana as well as in Mahrabharatam. The narrations are that when the
Arm of Lord Rama chased Kag-Bhushandi a difference remained only of two
Anguls till Brahman-lok. Likewise when Mother Yashoda tried to tie child
Krishna, She found that every string was short by two Anguls.
The great message is that the ‘measures’
for the measuring rod are bound to be of two units less. The Manasara,
the scripture of Sathapatyaupved of Atharvved, accordingly accepts Lord
Vishnu (six heads lord) as lord of measuring rod and Lord Brahma (four
heads lord) as lord of measure. In geometric language it means that
4-space plays the role of dimension of 6-space.
Mythologically manifestations as idols,
accepts head of the idol as format of dimension and eyes of the head
together to synthesize a dimensional frame for the dimension.
FORMAT OF IDOLS:
We may tabulate the following parallelism
between the manifested idols of Trinity of Gods and the geometric set
ups of hypercubes 4, 5 & 6 as geometric formats.
Sr.No
|
Idol
|
Representative Geometric body
|
1
|
Number of heads | Number of dimensions of head |
2
|
Head | Dimension of the space |
3
|
Number of eyes in the head | Dimensional frame for the dimensions |
4
|
Lotus (of 8 petals) | Hypercube-4 |
5
|
Lotus | Four space |
6
|
Lotus seat | Hypercube-4 as domain |
7
|
Lotus feet | Hypercube-4 as boundary |
8
|
Lotus eye | Hypercube-4 as dimension |
Upanishads and Purans particularly Sri Sri Brahmpuran, Shivpuran and Vishnupuran enlighten us about Trinity of Gods as:
Lord Brahma :
Lord Brahma is a four heads lord with two
eyes in His each head. He sits majestically on a lotus seat of eight
petals. He meditates on His lord (Lord Shiv) in heart and transcends to
Shivlok where He multiplies Himself as ten Brahmas of four heads each.
The geometric message of the
enlightenment can be decoded in terms of the following complete
parallelism between the idol of Lord Brahma and geometric setup of
Hypercube-4.
Sr.No
|
Idol of Lord Brahma
|
Geometrical set up of hypercube-4
|
1
|
Four heads | Four dimensions |
2
|
Two eyes | Spatial dimensions 2-space as dimension of 4-space |
3
|
Eight petals | Eight solid boundary components (A4:8A3) |
4
|
Heart | Origin / Centre |
5
|
Lord of Lord Brahma | 5-space as origin of 4-space |
6
|
Ten Brahmas | 10 hypercubes-4 as boundary of hypercube-5 (A5:10A4) |
(Dr. Dharmesh Shukla has worked out the
details in his doctoral thesis titled “Some properties of real 4-space
in the light of Vedic knowledge accepted (1994) by H.N. Bahuguna
University, Uttar Pradesh).
Lord Shiv :
Lord Shiv is a five heads lord with three
eyes in His each head. He has ten beautiful arms. Sri Sri Shiv
Mahanpuran enlightens us that Hanumanji is incarnation of Lord Shiv.
Ramayana enlightens us that Lord Rama, the incarnation of Lord Vishnu,
resides in the heart of Hanumanji.
The geometric message of this
enlightenment can be decoded in terms of the following complete
parallelism between the idol of Lord Shiv and geometric setup of
Hypercubes-5.
Sr.No
|
Idol of Lord Shiv
|
Geometrical set up of hypercube-5
|
1
|
Five heads | Five dimensions |
2
|
Three eyes | Solid dimensions / 3-space as dimension of 5-space |
3
|
Ten arms | Ten hypersolid boundary components (A5:10A4) |
4
|
Heart | Origin / Centre |
5
|
Lord of Lord Shiv | 6-space as origin of 5-space |
6
|
Dwadas Adityas | 12 hypercubes-5 as (12 Suns) boundary of hypercube-6 (A6:12A5) |
The Thesis
of Sh. Bidyadhar Panda titled “Some Properties of real five space in the
light of Vedic knowledge works out the details of geometric setup of
hypercube 5 and real 5 space of Vedic Comprehension and establishes Sri
Sri Shiv Mahapuran as text book of real 5 space.
These two thesis deserve to be published for research scholars.MANIFESTATION LAYERS :
In the light of the above, if we may have
a fresh look at the geometric set up of a cube. We shall be noticing
that the 3-space content/lump manifesting as “volume” of the cube is
wrapped within 2-space surface (2-space content/sheets). Further, we
know that this is the organization which admits linear dimensional order
i.e. 1-space in the role of dimension. Now, if we concentrate upon the
center of the cube, we shall be noticing that 8 sub-cube are synthesized
as a cube. We may view center of the cube as being wrapped within 8
cubes. This is parallel to the cut of 3-space by dimensional frame into 8 octants. As such, the formulation A4:8A3 of
hypercube-4 being availed by Lord Brahma to manifest as an idol would
help us comprehend that at center of the cube like at the origin of the 3
dimensional frame is sealed 4-space.
The origin/center, the domain/volume, the
boundary/ surface and linear dimension of cube are four distinct folds
of four distinct spaces which together synthesis and manifest geometric
setup of a cube. Therefore, the great geometric message is that our
physical work/3-space/cube/macro world is the first manifestation layer
with 1-space playing the role of dimension, 2 -pace playing the role of
boundary, 3-space playing the role of domain and 4-space playing the
role of origin.
Likewise, the world of Lord Brahma i.e.
the real 4-space, is the micro world manifestation layer of second order
as 2-space plays the role of dimension, 3-space plays the role of
boundary, 4-space plays the role of domain and 5-space plays the role of
origin. In general, the manifestation layer of order n shall be
accepting n-space in the role of dimension and (n+3) space in the role
of origin.
The Lord Brahma, the Creator of Supreme,
creates reality as manifestation layer of 4 consecutive spaces
synthesizing together. This creation accepts origin in a sealed state.
It is a dormant state. The transcendence from one manifestation layer to
another manifestation layer requires unlocking of the seal of origin
fold.
This as such becomes possible only on
5-space format. Therefore, Lord Shiv, the transformer the Supreme, is
the Lord of transcendence. Accordingly, in Shivlok exists vibrant
synthetic setup of 5 folds where transcendence from manifestation layer
to another manifestation layer becomes possible.
--- Shri Chandan Priyadarshi
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