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The inflationary model was motivated by the unsolved questions of the big bang theory [9], p. 96: “... The big bang theory shows some deficiencies which, in the past years, have caused the development of  a new model of the early state of the universe. This model of the „inflationary universe“ , as the cosmologists call it,  coincides exactly  with the generally accepted description of the early development states of the universe, after the first  10 ^{- 30} seconds of its existence.
For the first fractions of that second, the picture of the development of the universe has, in the new model, changed in a most dramatic way: According to this, the early universe blew up so much, within the shortest period of time, that its diameter became about 10 ⁵⁰  times larger than formerly assumed.
During this period of enormous growth, there probably developed the total matter and energy of the universe“.
The inflationary model starts from the assumption of a spontaneous symmetry fractioning in the early universe ( 10 ^–35 seconds after big bang, when the strong, the weak and the electromagnetic  interaction still were unified. The phase transition coming along with this led, according to the inflation theory, to an extremely fast ( inflationary) blow-up of the universe, thereby evading some problems of the big bang theory, as the following quotations show:
[9], p.103/104: “The horizon problem can be evaded in the inflationary problem in a simple way: in this model, the observable universe develops from a space area, the diameter of which was by a multiple ( 10 ^–50 times or more) smaller than the pertinent space area in the standard model.”
 [9], p. 104: "The planarity  problem can also be evaded in a simple and natural way. The equations describing the development of the universe during the inflationary epoch differ from those of the standard model, the entity
W  ²⁾reaches the value 1 fast, regardless of the value it had before the inflationary epoch.”
Unfortunately, the inflationary model is based on a theory [10], p, 208: “ the empirical reliability of which could not yet be tested. ( the necessary energies cannot be reached by accelerators in the foreseeable future.)”
Hubert Goenner has still other reserves [10], p. 208: “Before one can trust the inflationary model, the elementary particles theory should supply a sensible theory for the F- field ³⁾. Therefore, one can state, the inflationary model presents  a speculative extrapolation of physical ideas and laws, far from that which is empirically certified. Insofar,
I regard the inflationary model as an ingenious acrobatics, but not as an already accepted physical model with any value of description for nature.”
As shown in further statements (sections 3 and 4 ) in detail, the CTH solves the problems of the big bang theory in a very natural way, without needing such a speculative thesis as the inflationary model.
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²⁾W = ratio of the actual density in relation to the critical  density ( r/r crit)
³⁾ The scalar field F describes the vacuum field density or the cosmological constant, resp.
 

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