International Journal of Astronomy
2012; 1(2): 20-37
doi: 10.5923/j.astronomy.20120102.02
U. V. S. Seshavatharam
Honorary faculty, I-SERVE, Alakapuri, Hyderabad-35, AP, India
Correspondence to: U. V. S. Seshavatharam, Honorary faculty, I-SERVE, Alakapuri, Hyderabad-35, AP, India.
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Copyright © 2012 Scientific & Academic Publishing. All Rights Reserved.
Based on the big bang concepts- in the expanding universe, ‘rate of decrease in CMBR temperature’ is a measure of the cosmic ‘rate of expansion’. Modern standard cosmology is based on two contradictory statements. They are - present CMBR temperature is isotropic and the present universe is accelerating. In particle physics also, till today there is no practical evidence for the existence of ‘dark matter’ and ‘dark energy’. Astronomers are puzzled by the announcement that the masses of the largest objects in the Universe appear to depend on which method is used to weigh them. Recent observations and discussions at Astrophysics Research Institute (ARI) supported by the Royal Astronomical Society create new thoughts on the existence of the ‘cosmic axis of evil’. In this connection an attempt is made to study the universe with a closed and growing model of cosmology. If the primordial universe is a natural setting for the creation of black holes and other non-perturbative gravitational entities, it is also possible to assume that throughout its journey, the whole universe is a primordial (growing and rotating) cosmic black hole. Planck particle can be considered as the baby universe.
Keywords: Cosmic Axis of Evil, Rate of Decrease in CMBR Temperature, Rate of Increase in Cosmic Red Shift, Classical Limit of Force, Classical Limit of Power, Primordial Cosmic Black Hole, Light Speed Rotation, Planck Scale, Unruh Effect
is the classical limit of force and
is the classical limit of power. For any rotating celestial body, the 3 critical conditions are: magnitude of ‘kinetic energy’ never crosses ‘rest energy’, magnitude of ‘torque’ never crosses ‘potential energy’ and magnitude of mechanical power never crosses
. With these conditions, mathematical complexity involved in GTR and black hole physics can be simplified. Now this is the time to re-examine the foundations of modern black hole physics. Planck mass can be derived very easily. Light speed rotating black hole’s formation can be understood. GTR and quantum mechanics can be coupled in a unified manner. Rotating black hole temperature formula can be derived very easily.One such fundamental and unbelievable compound physical constant is
where
the speed of light is and
is the gravitational constant. The more surprising and strange thing is that its dimensions are identical to the dimensions of ‘force’. Its magnitude is
Newton. This is a very big magnitude and cannot be measured in laboratory experiments. The most unfortunate thing is that it appears in general theory of relativity in inverse form as
. It can be considered as the ultimate force in true unification. The only way is to implement it in fundamental physics. Another fundamental and unbelievable compound physical constant is
The more surprising and strange thing is that its dimensions are identical to the dimensions of ‘power’. Its magnitude is
J/sec. This is also a very big magnitude and cannot be measured in laboratory experiments. Whether to consider them or discard them - depends only on our choice of scientific interest. Considering these two compound physical constants, Planck scale can be constructed. Without considering the complicated mathematical equations of GTR, black hole radius can be obtained. Combining them with some of the classical and quantum laws of physics, some miracles can be done.
and Newton’s gravitational constant
. It can be expressed as
. It can be considered as the ‘classical limit’ of ‘force’[18-21]. It represents the maximum ‘gravitational force of attraction’ and maximum ‘electromagnetic force’. It plays an important role in ‘unification’ scheme. It is the origin of “Planck scale”. It is the origin of ‘Quantum gravity’. Similar to this ‘classical force’, classical limit of ‘power’ can be given by
. It plays a crucial role in ‘gravitational radiation’. It represents the ‘maximum limit’ of ‘mechanical’ or ‘electromagnetic’ power and ‘radiation power’.
can be derived based on ‘Newton’s law of gravitation’ and ‘constancy of speed of light’. In Sun-Planet system, from Newton’s law of gravitation,![]() | (1) |
= mass of sun,
mass of planet and
= distance between them. Centripetal force on planet is,![]() | (2) |
= orbiting velocity of planet. Eliminating
from equation (2), force of attraction between sun-planet can be given as,![]() | (3) |
) is a ratio, (
) must have the dimensions of ‘force’. Following the ‘constancy of speed of light’, a force of the form,
can be constructed. This can be considered as the upper limit or magnitude of any force. Nature of the force may be mechanical or electromagnetic or gravitational. Note that in GTR this force appears in an inverse form[22] as![]() | (4) |
![]() | (5) |
are any 2 massive bodies and
is distance between them. Then minimum distance between the 2 bodies can be obtained as![]() | (6) |
![]() | (7) |
can be expressed as![]() | (8) |
![]() | (9) |
Charged particle’s space-time curvature can be understood from this expression. With this idea GTR can be applied to charged elementary particles easily. Not only that this method simply and directly leads to Planck scale and grand unification or TOE. Grand unification assumes that in the past the observed 4 fundamental interactions are same and having the same strength. Magnitude of the force at that time can be taken as
With a suitable proportionality ratio quark confinement can be understood as a charged space-time curvature. Clearly speaking ‘gravity’ can be implemented very easily in nuclear and quark physics[23-26]. From quantum mechanics![]() | (10) |
![]() | (11) |

moving in opposite direction and coming closer and closer. At some minimum distance their magnitude of gravitational force of attraction approaches![]() | (12) |

![]() | (13) |
![]() | (14) |
![]() | (15) |
![]() | (16) |
![]() | (17) |
![]() | (18) |
, similar to the Planck mass-energy ‘coulomb mass-energy’ can expressed as![]() | (19) |
![]() | (20) |
is the classical limit of force. How to interpret this mass unit? Is it a primordial massive charged particle? If 2 such oppositely charged particles annihilates, a large amount of energy can be released. Considering so many such pairs annihilation hot big bang or inflation can be understood. This may be the root cause of cosmic energy reservoir. Such pairs may be the chief constituents of black holes. In certain time interval with a well defined quantum rules they annihilate and release a large amount of energy in the form of
photons[27].It is widely accepted that charged leptons, quarks, and baryons all these comes under matter or mass carriers and photons and mesons comes under force carriers. If so what about this new mass unit? Is it a fermion? Or is it a boson? Or Else is it represents a large potential well in the primordial matter or mass generation program? Is it the mother of magnetic monopoles? Is it the mother of all charged particles? By any suitable proportionality ratio or with a suitable scale factor if one is able to bring down its mass to the observed particles mass scale, very easily a grand unified model can be developed.
and
within 3 steps. For any rotating celestial body assume that,![]() | (21) |
![]() | (22) |
![]() | (23) |
![]() | (24) |
Clearly speaking this proposal is entirely different from the existing concepts of General theory of relativity. It is not speaking about the gravitational collapse of stars or space-time curvature or singularity. Now this is the time to re-examine the foundations of modern black hole physics. It can be suggested that, the subject of ‘black hole physics’ has to be studied in a new direction. If the concept of ‘Schwarzschild radius’ is believed to be true, for any rotating celestial body or black hole of rest mass
the critical conditions can be stated as follows.1. Magnitude of ‘kinetic energy’ never crosses ‘rest energy’.2. Magnitude of ‘torque’ never crosses ‘potential energy’ and3. Magnitude of mechanical power never crosses
Based on the Viral theorem, potential energy is twice of kinetic energy and hence
. In this way factor 2 can be obtained easily from equations (21), (22) and (23). Not only that special theory of relativity, classical mechanics and general theory of relativity can be studied in a unified way. Such light speed rotating black holes may be called as ‘special holes’.
having size,
rotates with an angular velocity
and rotational speed
Assume that, its temperature
is inversely proportional to its rotational time period
. Keeping Law of uncertainty in view, assume that,![]() | (25) |
![]() | (26) |
= rotational time period and
= Temperature,
= Boltzmann’s radiation constant,
= Planck’s constant and
is the sum of kinetic and potential energies of a particle in any one direction. We know that,![]() | (27) |
![]() | (28) |
approaches light speed
, then temperature reaches to maximum. Here author’s humble appeal is: force limit
keeps the black hole ‘stable or rigid’ even at light speed rotation.![]() | (29) |
![]() | (30) |
is the local acceleration. If one is willing to replace the ‘linear acceleration’ with the ‘angular acceleration’ of the rotating black hole, then ‘black hole temperature’ comes into picture.![]() | (31) |
![]() | (32) |
![]() | (33) |
![]() | (34) |
. Assume that gravitational force of attraction between the point universe mass and the Planck photon (the baby universe mass) is equal to
. Author humbly say- this simple assumption unifies GTR, quantum mechanics, planck scale, big bang cosmology and Hubble’s observations.![]() | (35) |
Kelvin. Surprisingly it is noticed that, above assumption is satisfied at the following 2 conditions.![]() | (36) |
![]() | (37) |
is the present cosmic expansion rate index[32,33]. Above expression can be expressed as![]() | (38) |
![]() | (39) |
is the characteristic length of the universe and is called as the Hubble radius. Not only that Hubble volume
represents the characteristic and observable volume of the universe. It is defined and accepted that
value changes with time. Cosmic temperature also changes with time. By any chance if one is able to consider
as the present angular velocity,
as the Planck photon angular velocity then above relation can be expressed as![]() | (40) |
![]() | (41) |
. Hence![]() | (42) |
of a nearby galaxy was related to its radial distance
where
is the constant of proportionality[4]. This relationship- dubbed the Hubble law- has since been strengthened and extended to very great distances in the cosmos. This was the incomplete interpretation that changed the destiny of the modern cosmology. Based on this interpretation modern cosmologists arrived at the conclusion that - at present, universe is flat and is accelerating. Nowadays it is considered to be well established in the expanding big bang universe. Hubble initially interpreted his red shifts as a Doppler effect, due to the motion of the galaxies as they receded for our location in the Universe. He called it a ‘Doppler effect’ as though the galaxies were moving ‘through space’; that is how some astronomers initially perceived it. This is different to what has now become accepted but observations alone could not distinguish between the two concepts.Later in his life Hubble varied from his initial interpretation[5] and said that the Hubble law was due to a hitherto undiscovered mechanism, but not due to expansion of space - now called cosmological expansion. In this connection, author humbly says - there was something wrong and missing in Hubble’s interpretation. For the same observations it can also be possible to state that, in a closed and expanding universe, from and about the cosmic centre, rate of increase in galaxy red shift is a measure of cosmic rate of expansion. This statement includes 3 points.1. Light from the galaxy travels opposite to the direction of cosmic expansion and shows red shift and thus red shift is a measure of galaxy distance from the cosmic centre.2. In the expanding universe, increase in red shift is instantaneous due to instantaneous increase in galaxy distance (which is due to instantaneous increase in cosmic volume).3. Rate of increase in red shift indicates the cosmic rate of expansion.
. This observational clash clearly indicates that something is going wrong with accelerating model. Moreover the standard model predicts that the cosmic background radiation should be cooling by something like one part in
per year. This is at least 6 orders of magnitude below observable limits. Such a small decrease in cosmic temperature might be the result of cosmic “slowing down” rather than cosmic acceleration. Technically from time to time if we are able to measure the changes in cosmic temperature then ‘rate of decrease’ in cosmic temperature will give the ‘rate of increase’ in cosmic expansion accurately. Author humbly requests the Indian Space Research Organization (ISRO) to launch a satellite for measuring the ‘rate of decrease’ in CMBR temperature.2. Based on this analysis if “cosmic constant temperature” is a representation of “isotropy” it can be suggested that at present there is no acceleration and there is no space expansion and thus universe is static. From observations it is also clear that universe is homogeneous in which galaxies are arranged in a regular order and there is no mutual attraction in between any two galaxies. Not only that Hubble’s observations clearly indicate that there exists a linear relation in between galaxy distance and galaxy speed (which might be a direct consequence of “cosmic rotation” with “constant speed”). This will be true if it is assumed that “rate of increase in red shift” is a measure of cosmic “rate of expansion”. Instead of this in 1929 Hubble interpreted that “red shift” is a measure of cosmic “expansion”. This is the key point where Einstein’s static universe was discarded.3. At present if universe is isotropic and static how can it be stable? The only one solution to this problem is “rotation with constant speed”. If this idea is correct, universe seems to follow a closed model. At present if universe rotates as a rigid sphere with constant speed then galaxies will revolve with speeds proportional to their distances from the cosmic axis of rotation. Hence the Hubble’s law must be re-interpreted as “at present as galaxy distance increases its revolving speed increases”. If so
shall turn out to be the present angular velocity. In this way cosmic stability and homogeneity can be understood.4. This “constant speed cosmic rotation” can be extended to the big bang also. As time passes while in constant speed of rotation somehow if the cosmic sphere expands then “galaxy receding” as well as “galaxy revolution” both will come into picture. In the past while in constant speed of rotation at high temperatures if expansion is rapid for any galaxy (if born) receding is rapid and photon from the galaxy travels towards the cosmic centre in the opposite direction of space expansion and suffers a continuous fast rate of stretching and there will be a continuous fast rate of increase in red shift. At present at small temperatures if expansion is slow galaxy receding is small and photon suffers continuous but very slow rate of stretching and there will be a continuous but very slow rate of increase in red shift i.e. red shift practically remains constant. From this analysis it can be suggested that rate of decrease in cosmic temperature or rate of increase in red shift will give the rate of cosmic expansion. In the past we have galaxy receding and at present we can have galaxy revolution. By this time at low temperature and low angular velocity, galaxies are put into stable orbits.
kg to
kg may also have contributed to the later formation of galaxies. This is due to the possibility that at this low mass they would behave as expected of other particle candidates for dark matter. As of today there is no solid evidence for the existence of PBHs, but their presence would be very difficult to detect even if they constitute the bulk of the dark matter. A black hole with a mass of about
kg would have a lifetime about equal to the age of the universe. Based on the present theoretical works, expected mass of the non-evaporating PBHs ranges from
. PBHs with masses
may form during the QCD (quark-hadron) phase transition at
seconds, or PBHs with mass
may form during the
annihilation era. If universe is natural setting for the origin of primordial black holes- to understand the cosmological observations and black hole physics in a unified manner, it can be assumed that, right from the beginning to the present state, whole universe is a primordial black hole.
Kelvin[53]. It is very uniform up to several mega parsecs from Earth and so smooth to one part in 100000.
force
and power
are really the utmost fundamental tools of black hole physics and ‘black hole cosmology’. To proceed further, it is a must to show that,1. There is a fundamental flaw in the basics of modern flat cosmology. It goes back to 1929 Hubble’s interpretation of galactic red shift data. It’s correct interpretation is: ‘rate of increase’ in red shift is a measure of cosmic rate of expansion.2. Rate of decrease in CMBR temperature is a measure of cosmic rate of expansion. ‘Cosmic isotropy’ and ‘cosmic acceleration’ both are inversely proportional to each other.3. Dimensions of Hubble’s constant are ‘radian/sec’ but not ‘1/sec’. This is very simple and brings cosmic rotation into picture.4. Universe follows a closed expanding boundary. Best example is: ‘Apple grows like an apple’ with closed expanding/growing boundary. Rotation will make the closed expanding universe stable.5. At any time, strong gravity plays an interesting role in minimizing the (expanding) cosmic size.6. Large cosmic time and smooth cosmic expansion play an interesting role in the evolution of fundamental particles.
,1. The universe can be treated as a rotating and growing black hole.2. With increasing mass and decreasing angular velocity, the universe is always rotating with speed of light.3. Without ‘cosmic rotation’ there is no ‘cosmic temperature’. Cosmic temperature follows Hawking black hole temperature formula where mass is equal to the geometric mean of the planck mass and the cosmic mass.4. ‘Rate of decrease’ in CMBR temperature is a measure of cosmic ‘rate of expansion’.5. Space, time and matter are the immediate and parallel results of cosmic expansion.
and size
rotates with angular velocity
and linear velocity
in such a way that, free or loosely bound particle of mass
lying on its equator gains a kinetic energy equal to potential energy as,![]() | (43) |
![]() | (44) |

![]() | (45) |
![]() | (46) |
may have some physical meaning. The most important point to be noted here, is that, as far as dimensions and units are considered, from equation (46), it is very clear that, proportionality constant being
,
Equation (46) is similar to the “flat model concept” of the cosmic “critical density”![]() | (47) |
![]() | (48) |
![]() | (49) |
from assumption (1) based on black hole concepts, if mass of the universe is
size of the cosmic black hole can be given by![]() | (50) |
![]() | (51) |
![]() | (52) |
From equations (51) and (52)![]() | (53) |
is known![]() | (54) |
in equation (54) we get present cosmic angular velocity
Numerically this obtained value is very close to the measured value of Hubble’s constant
Not only that this proposed unified method is qualitatively and quantitatively simple compared with the “cosmic red shift” and “galactic distance” observations. This procedure is error free and is reliable. Author requests the science community to kindly look into this kind of rotating and growing universe models. If this procedure is really true and applicable to the expanding universe then accelerating model, dark matter and dark energy becomes ad-hoc concepts.![]() | (55) |


and
present mass density is
. This is very close to the observed mater density[54] of the universe
If this idea is true the proposed term![]() | (56) |
![]() | (57) |
and
the term
and mass density at Planck time approaches zero. Conceptually this supports the big bang assumption that “at the time of big bang matter was in the form of radiation”. Not only that as cosmic time increases mass density gradually increases and thermal density gradually decreases.Using this term and considering the present CMBR temperature baryon-photon number density ratio can be fitted as follows.![]() | (58) |
![]() | (59) |
![]() | (60) |
It’s density =
It is no where connected with “critical density” concepts. It is noticed that![]() | (61) |
it can be defined as, cosmic red shift![]() | (62) |
is very small this definition is close to the existing red shift definition![]() | (63) |
![]() | (64) |
is very small. Note that at Hubble’s time the maximum red shift observed was,
which is small and value of
was 530
By Hubble’s time equation (62) might had been defined in place of equation (63). But its not happened so! When rate of expansion is very slow, i.e. at present, based on
concepts![]() | (65) |
![]() | (66) |
where
is the angular velocity of the universe at time
At any time this is not the cosmic age. If at present,
it will not represent the present age of the universe.2. Time required to complete one revolution is
3. Time required to move from Planck volume to existing volume = present cosmic age. How to estimate this time? Author suggests a heuristic procedure in the following way.![]() | (67) |
![]() | (68) |
![]() | (69) |
![]() | (70) |
After simplification, this relation takes the following form.![]() | (71) |
![]() | (72) |
and interesting idea is that if
the term,
It indicates that, unlike the planck time, here in this model cosmic time starts from zero seconds. This idea is very similar to the birth of a living creature. How and why, the living creature has born? - This is a fundamental question to be investigated by the present and future mankind. In the similar way, how and why, the “planck particle” born? has to be investigated by the present and future cosmologists. Proposed time is 9400 times of
With this large time “smooth cosmic expansion” can be possible. Inflation, magnetic monopoles problem and super novae dimming can be understood by a “larger cosmic time and smooth cosmic expansion”. One second after the birth of planck particle,
and is less than one light second. Please see the following table-1.
|
sec[55]. Here error is 3 %. Really this is a miracle. This may be a coincidence also. The interesting question is -- why and how the ancient Indians obtained that number? If so the interesting thing is that 1.7 days of lord Brahma is roughly matching with the current estimations of cosmic age!
and power
in astrophysics. With these 2 expressions or limits, mathematical complexity in GTR can be resolved. Not only that, force
plays a crucial role in grand unification and power
plays a crucial role in gravitational radiation. Even though detection of primordial cosmic black holes is very difficult, their direct effects are best seen in the form of old and new galaxies and their fast spinning galactic centres. Recent observations reveal that galactic central black holes are spinning close to speed of light. Another debate is well going on the ‘cosmic acceleration’, the existence of ‘dark matter’ and ‘dark energy’. Compared to dark matter and dark energy, a primordial cosmic black hole connects GTR, quantum mechanics and cosmology in a unified manner. Thinking positively, from its birth to its present state, universe can be considered as a growing and rotating primordial black hole. Constant ‘light speed rotation’ maintains its stability and rate of decrease in temperature indicates its growth or expansion rate. Now this is the time to search for the primordial cosmic axis. Please see the appendix on the cosmic ‘axis of evil’.