Our aim is to introduce a proposed resolution to the cosmological constant problem which satisfies the following requirements :
1) It does NOT involve any modification in General Relativity or Quantum Mechanics.
2) It does NOT generate any propositional quantities or contrived concepts such as Dark Energy , Inflation , Multiverse ... etc.
3) It suggests solutions to other problems of cosmology such as Horizon Problem , Ecliptic Alignment of CMB Anisotropy ... etc.
4) It fulfills the general criteria of science such as simplicity , falsifiability ... etc.
Our strategy is simple and clear . it is based on two assumptions, each of them seems to contradict the results of General Relativity but , interestingly, they are consistent with this theory when they are taken together:
The first assumption is concerned with the cosmological model:
The space-time is a 4-ball in which the 3-dimensional spherical surface is the 3-space of the universe and the radius is the cosmological time.
There must be a part of the cosmological constant associated with this model which is the curvature of the space of this spherical shape which can be determined directly and simply from the age of the universe.
In spite of its simplicity and attractions , it may be thought that this assumption contradicts the result of the global application of Einstein's Field Equation because the assumption implies that the global geometry of the universe depends only on the age of the universe and has nothing to do with the average density of the universe as supposed to be implied by the field equation of General Relativity.
On the other hand, this model of the universe also contradicts the acceleration of the universe which seems to be supported by observational data about the cosmological redshift, because a model of a spherical space with radial time implies a steady expansion of the universe.
Now, instead of hurriedly excluding this beautiful model let us try to overcome theses two difficulties simply by adding another assumption:
Beside the geometrical part of the cosmological constant mentioned above, there exists also a material part subtracted from the right hand side of the field equation, this material part is the average density of the universe .
This assumption leads to the independence of the global geometry of the universe from its average density which is in agreement with our dearest model of spherical space and radial time.
Now, let us turn to the second difficulty with our model which is the acceleration of the expansion of the universe or more precisely the cosmological redshift which is supposed to be a result of the acceleration of the expansion of the universe. Surprisingly, our model of the spherical space and radial time offers to us other interpretation of this cosmological redshift because it can be proven that the geodetic path on this shape of space-time which should be followed by light between any source and observer is a logarithmic spiral tends to straight line in large values of the ages of the universe which is associated with redshifts that agree with the cosmological observations.
More details and arguments are found in some papers by the author, see for example:http://vixra.org/author/mueiz_gafer_kamaleldeen
1) It does NOT involve any modification in General Relativity or Quantum Mechanics.
2) It does NOT generate any propositional quantities or contrived concepts such as Dark Energy , Inflation , Multiverse ... etc.
3) It suggests solutions to other problems of cosmology such as Horizon Problem , Ecliptic Alignment of CMB Anisotropy ... etc.
4) It fulfills the general criteria of science such as simplicity , falsifiability ... etc.
Our strategy is simple and clear . it is based on two assumptions, each of them seems to contradict the results of General Relativity but , interestingly, they are consistent with this theory when they are taken together:
The first assumption is concerned with the cosmological model:
The space-time is a 4-ball in which the 3-dimensional spherical surface is the 3-space of the universe and the radius is the cosmological time.
There must be a part of the cosmological constant associated with this model which is the curvature of the space of this spherical shape which can be determined directly and simply from the age of the universe.
In spite of its simplicity and attractions , it may be thought that this assumption contradicts the result of the global application of Einstein's Field Equation because the assumption implies that the global geometry of the universe depends only on the age of the universe and has nothing to do with the average density of the universe as supposed to be implied by the field equation of General Relativity.
On the other hand, this model of the universe also contradicts the acceleration of the universe which seems to be supported by observational data about the cosmological redshift, because a model of a spherical space with radial time implies a steady expansion of the universe.
Now, instead of hurriedly excluding this beautiful model let us try to overcome theses two difficulties simply by adding another assumption:
Beside the geometrical part of the cosmological constant mentioned above, there exists also a material part subtracted from the right hand side of the field equation, this material part is the average density of the universe .
This assumption leads to the independence of the global geometry of the universe from its average density which is in agreement with our dearest model of spherical space and radial time.
Now, let us turn to the second difficulty with our model which is the acceleration of the expansion of the universe or more precisely the cosmological redshift which is supposed to be a result of the acceleration of the expansion of the universe. Surprisingly, our model of the spherical space and radial time offers to us other interpretation of this cosmological redshift because it can be proven that the geodetic path on this shape of space-time which should be followed by light between any source and observer is a logarithmic spiral tends to straight line in large values of the ages of the universe which is associated with redshifts that agree with the cosmological observations.
More details and arguments are found in some papers by the author, see for example:http://vixra.org/author/mueiz_gafer_kamaleldeen
