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Showing posts with label inflationary universe. Show all posts
Showing posts with label inflationary universe. Show all posts

Monday, May 7, 2012

Why the Grand Relativity Theory? (Part II)

As the dimensions of a drop of water to its water substance, the dimensions of spacetime are the geometrical manifestation of a particular cosmic energy.  Our world, together with its multidimensional surroundings (grand cosmos), comes into existence as the natural manifestation of a broad spectrum of different cosmic energies a)

How these multidimensional worlds come into being? It begins with the separation of positive and negative energy in the highest-dimensional world. This separation creates a hypersurface (space) of one lower dimension between the two opposite energies. The newly created hypersurface, in turn, splits in two, and so forth. Thus, the separation happens successively, creating many hypersurfaces (spaces) embedding one after another in descending order of their dimensions. 
The energy segregation in each world, however, doesn't happen instantaneously. The area of the hypersurface formed in between the two opposite energies broadens up gradually from a specific minimum size to what the current magnitude is (Figure-1). It is the underlying reality that makes our universe expanding b)

This kind of phenomenon also explains why our world is flat c).  As such, we don’t require buying the concept of inflationary phase happened in the early life of the universe (at around 10-35 to 10-30 second after Big Bang) whose inflation rate is far exceeding the speed of light. Besides, the existence of energies at the surroundings of our universe (hypersurface) may explain the possible source of dark energy we miss so dearly.

The advantage of using hypersurface over the hyperspace is clear. With the former, we can easily describe objects such as fields propagating on its surface (classical fields) as well as those off its surface traversing through its thickness d) (quantum fields), as depicted in Figure-2. 
The interaction of the opposite energies generates those quantum fields which propagate across through the hypersurface. As the quantum fields hit the hypersurface's surface, they ignite quantum sparks ("quarks"), which we recognize as fundamental particles. These sparks (particles) together with the hypersurface (space) which they abode e) perpetually appear and disappear at the rate equal to the speed of light f)

The two interacting opposite energies move at the different directions forcing the normal axis of the hypersurface to rotate around the grand perimeter of the spacetime at the speed of light g). This dynamic grand rotation creates what we perceive as time (Figure-3). 

The combination of these two phenomena makes our physical space, together with all matters it contains, disappears completely as one moment passes, and reappear as a completely different space as the next moment arrives h). Most physicists overlook this underlying reality, which reflects both the relativity and quantum realms.

The interactions of the opposite energies also make the hypersurface rotate around its normal axis. It rotates, in turn, all objects it contains from super-galaxies, galaxies, solar systems, planets down to atomic and subatomic realms.

Notes:

a. The ensemble of such grand cosmos can be mathematically expressed in the form of the Laurent series or depicted as the Riemann sphere.
b. As shown by Riemann's annulus of convergence, the world can evolve only from a specific minimum size. It starts to get its stable form and expands to its maximum magnitude, beyond which it becomes precarious and tears apart into pieces doomsday. As nature abhors the singularity, do we need the Big Bang cosmology and black hole postulate?
c.  It is flat but locally curved and undulates due to the gravitation effect exerted by local concentrations of energy and mass.
d.  In the order of Planck distance i.e., 10-33 cm or equivalent 10-44 second, below which the hypersurface would disappear into thin air. Assuming a zero thickness of such hypersurface would lead us to many annoyance problems of infinity.
e. The separation of energy never creates a stable hypersurface between the two halves. Mathematically, in quantum mechanics, the square roots of the relativistic energy formula, E2 = m2c4 + p2c2, do not give a neat separation of its positive and negative roots. It means that physically, the split of the positive and negative energy never creates a stable interface (hypersurface) between them. It is ephemeral in the sense that it appears and disappears perpetually.
f.  It is just like sparks appear and disappear on the surface of large TV or computer screen. Amazingly, the display also appears and goes together with the flashes.
g. The energies’ movement as the result of their mutual interaction also makes the hypersurface rotate around its lateral axis resulting in a hyper-helical type of rotation. In a higher-dimensional ambient space, we can depict this hypersurface movement as a 3D-front wave propagating across the 4D-surface of a grand 5D-ocean.
h.  Heraclitus (500 BC) said that the world is in flux. We can never step into the same river twice. He also stated that the world was like a gigantic flame. At any instant, the fire we see is entirely different from the flame we saw just a moment ago. Everything in the world is always changing and yet is still exclusively itself.


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Thursday, January 20, 2011

The Cosmic Inflation Never Happened

The Big Bang theory holds the premise that the universe originated from a singularity which came into being out of nothing through a single massive explosion. The concept of the minuscule size of such primeval singularity born from the thought projection of the current universe's expansion backward far in time.

The theory has at least two dubious primary grounds. The first one is the speculative concept of nothingness. The Big Bang theory presumes, violating the first law of thermodynamics, that energy (and matter) was created out of nothing. This idea came from the mindset that the creation of the universe (4-spacetime) was the beginning of everything. Notwithstanding, the theory takes for granted that the quantum fluctuation which stimulated the primeval explosion held in the nothingness before such creation.

The second speculative ground is about the size of the universe which can be shrunk indefinitely backward in time from the current size into a singularity. Close to the moment of creation, the size exponentially shrunk about 1060 smaller just within 104 seconds, from 10-33 to 10-37 second posterior to the explosion, the rate of which was exceedingly faster than the speed of light1.

As we have elucidated so far, there can be no such thing as nothingness. The energy, as the only reality in nature, can neither be created out of nothing nor destroyed into nothing. The universe was born as the result of the interplay between the opposite (positive and negative) energies that created the universe and everything within, not out of nothing.

We can mathematically describe energy in its pure condition as waves' spectrum of different frequencies and amplitudes expressed in terms of Fourier series or its complex form, the Laurent series:
f(z) = F+(z) + c0 + F(z)
It is a wave function expressed as the sum of its positive frequency (F+(z)) and negative frequency (F(z)).


Globally, we can depict this wave function in terms of Riemann sphere, the positive frequency F+(z) extends holomorphically into the southern hemisphere, and the negative frequency F(z) extends holomorphically into the northern hemisphere, where the equator represents the real coordinate and the longitudinal circles its imaginary time coordinate.

The domain of the positive and negative frequencies, however, does not fully extend to the poles, as the Riemann sphere has an annulus of convergence which excludes the domain around the zero points (singularity) as well as the infinity (Figure-1).

This pure mathematical analysis indicates that the split of the energy cannot create a stable interface (hypersurface) from the beginning when the energy started to split up to a certain period where it reaches the minimum size (represented by the Riemann sphere's inner ring of convergence).  The interface created in this period would instantly dissolve into energy.

It is only after reaching this limit that the hypersurface comes into being where it stabilized until it reaches its maximum size (represented by the Riemann sphere's outer ring of convergence).

The doomsday comes when the hypersurface reaches its maximum size.  At this particular time, the hypersurface becomes extremely unstable that makes it break down into pieces dissolving back into pure energy.  We illustrate these phenomena in Figures-2 and 3A.


This cosmology scenario avoids the need of either the concept of singularity to represent the beginning of the creation or the big crunch at the end of the universe's life as well as the everlasting expansion where the universe has no dead end.


This cosmology theory also excludes the need of the concept of cosmic hyper-inflation in the early period of the creation (Figure-3B), as the baby universe was born in an exceedingly larger size than that of the singularity which the Big Bang theory presumed.

The interplay between the positive and negative energies generates quantum fields across through the interface (hypersurface) a), located in between the two, perpetually creates quantum sparks (fundamental particles), the building block of the universe. As the split (hypersurface) area is enlarging with time, new matters are created in the expanding horizon keeping the average matter density per area almost constant.

This cosmology concept resembles the one of the continuous creation, steady-state expanding universe put forward by Fred Hoyle2.

Notes:
a) We use the split area, interface, hypersurface, and space interchangeably.

References:
1.     Guth, A.: "The Inflationary Universe," Basic Books, New York, 1997
2.   Gregory, Jane: "Fred Hoyle's universe," Oxford University Press, New York, 2005

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