Copyright © Rahul Shankar Bharadwaj 2025
Chapter 5
‘i’ Dimension
Possibilities
We have seen the relationship of ∞ with
‘i’ and connotation of ‘i’ on calculations
using Lorentz factor. Let us now delve into some possibilities in real world which
may have link with ‘i’ dimension. These are proposed possibilities at
this stage, requiring detailed analysis and experimental probes, which is beyond
the scope of this book.
Dark Matter or ‘i’ Dimension Projections?
Spinning galaxies and galaxy groups may
rotate celestial bodies within them at linear or tangential speeds much faster than
‘c’ relative to some other celestial objects not part of them as depicted in
figure 5.1. Thus, we must be moving faster than the light emitted or reflected
by some of the celestial objects and may be looking at their image in ‘i’ dimension
or in direction opposite of their actual location as discussed in previous
chapter and depicted in figure 5.1.
Hence, there must be many celestial
objects that we see in our sky are only the inverted projections, while the
real object lies in opposite direction, invisible to us. As per our knowledge,
we expect effects of their gravity where we see them i.e. around their
projected image, whereas their gravity is acting where they actually are, but
not visible to us. The absence of gravity where they are visible and presence
of gravitational effect at their actual position where we can’t see them is
most likely been attributed to the dark matter.
Another interesting phenomenon of
expanding universe at a pace faster than our understanding has been attributed
to dark energy or matter. However, we have already seen in chapter 4, that when
we are moving away from an object faster than light, its image appears in front
of us and seems to move away as we advance. This may be the reason why we see
the universe expanding at a pace faster than our understanding of cosmology.
The inverted image of the object is akin
to a mirror image, like what we discussed in the example of a car in front of
mirror in chapter 3. In case of mirror images, the light photons travel forward
at speed ‘+c’, however when they hit a mirror surface, their speed reverses
and they begin to move backward at speed ‘−c’, which makes us see the
inverted images of objects. Applying the same concept to faster than light
speed, crossing over to speed greater than ‘c’ makes direction of light around
us change from ‘+’ to ‘−’, making us see the mirror images in front, which are
of the objects behind us. However, it is pertinent to note that, in case of
reflection from a mirror, the sequence of light photons arriving at our eyes or
other sensors does not change, hence we only see the inverted image and do not
see the events in reverse order.
We can judge that we are watching the
mirror image or inverted image of a celestial object in ‘i’ dimension by
ascertaining if events on that object are progressing in reverse direction, but
that is very difficult to determine because of the distances associated and the
time we have spent observing them. Most of our technological advancements to
observe deep space have been made in last century itself which is a negligible
time at cosmic levels.
We must appreciate that light speed is
constant at ‘c’ relative to its origin but may vary relative to other
objects. Till date, the measurements of light speed have been made from light
sources within our solar system. However, light from outside our solar system may
be having different relative speeds including reversed or inverted speeds in ‘i’
dimension.
Gravity’s Link with ‘i’ Dimension?
Gravity causes repetitive movements
like the pendulum oscillations and orbital movement. For our understanding let’s
consider the orbital movements. Everything in the universe is in an orbital
motion. The satellites are going around the earth, the earth around the sun,
the sun around the galactic centre, the galaxy around local group centre and so
on. The gravity tends to bring back anything in kinetic motion in one direction
back to its original location, but from the opposite direction. Even if we keep
increasing the level beyond galaxy, the result of orbital motion will be same.
We have seen in chapter 3, that at
infinite speed an object somehow exists even in direction opposite to its
motion. That is only possible when the movement of the object is not in a
straight line up to infinity but in a circular orbit of infinite diameter.
It may be visualized that if we keep
increasing the diameter of a circle, the circumference will keep becoming
flatter. A circle of ∞ diameter will have a perfectly flat circumference, or we
can say that, a straight line is a circle with ∞ diameter. Then how does it connect
back to complete the circle? The answer may be ‘i’ dimension, because we
have seen on the number loop, that numerical values decrease back to zero after
∞ through ‘i’ dimension.
Hence, the orbital motion due to
gravity or gravity itself somehow seem to be corelated to real and ‘i’ dimension
on the number loop.
Now let us consider the motion of a
pendulum. Beginning from one end, initially it accelerates towards the centre
i.e. ‘+’ acceleration. Thereafter it decelerates as it moves towards another
end i.e. ‘−’ acceleration till its speed becomes 0 (zero). Thereafter, it
accelerates back towards the centre, but this motion is the mirror image of its
previous acceleration from the other end. So, the pendulums motion due to
gravity can be broken into four parts; one - acceleration in one direction, two
- deceleration in same direction, three - acceleration in opposite direction
and four - deceleration in opposite direction. We use ‘+’ and ‘−’ to describe
acceleration and deceleration in one direction, but what about the acceleration
and deceleration in opposite direction? Since they are the mirror image of
previous motions so can they be described with ‘i’ dimension? If so, is
gravity somehow linked with ‘i’ dimension concept? The answers may hold
key to understand the gravity.
Is Time Travel Possible?
We have seen in chapter 1, that if we can
cross over our speed into ‘i’ dimension i.e. beyond infinity then we can
travel backwards in time. Quantum physicists are already working on the
possibility of particles travelling back in time. In physical sense, it may
sound absurd, but mathematics allows it; if the particle was travelling at a
speed which is in ‘i’ dimension. Achieving speeds in ‘i’ dimension
is beyond our technological reach at present and so the phenomenon looks
intriguing to us.
We have also seen another way to look
back in time on earth in chapter 4. Time on earth can be seen reversing in ‘i’
dimension, if we travel at speed faster than ‘c’ relative to earth.
The conundrum of time and space has most
likely been created because of assumption that speed of light is constant at
approximately 300,000 kms/sec. This gives us the definition of time; ‘one
second of time is the time taken by light to travel approximately 300,000 kms.’
Hence, when the speed of light changes so does the time, if we keep the
distances (or space) constant.
However, since speed, time and
distances (or space) are corelated, hence when we feed to mathematics that the light’s
speed is constant and not the distances (or space) then for speeds relative to ‘c’,
the results yielded by mathematics are distorted in time and space.
Regarding forward time travel, we are naturally moving forward on the time axis at a consistent pace. While the ‘i’ dimension gives us a mathematical solution to travel back in time, however it does not give us any key to travel ahead or forward in time at a faster pace than what we are already traversing at.
But, can there be a parallel universe in ‘i’ dimension, where time is moving backwards like a mirror image? In that case ‘i’ dimension speeds in this parallel universe may lead to forward time travel!
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