The Big Bang theory is believed to be based on three problems to the tired light model. In this report, “time dilation of high redshift quasars” is first explained with the stress cosmology. A proceeding (delaying) speed of time is shown as a logarithm of changed energy. Second, “surface brightness” relates to “time dilation” and the combined luminosity per unit time. It decreases with time dilation. Third, according to the stress cosmology, the “cosmic microwave background” is explained with a relation between movement distance and decreasing energy quantity of discharged light. Thus, three problems can be explained with the stress cosmology being part of the tired light model. Therefore, there is no absolute proof of the Big Bang theory. Moreover, there is a fatal contradiction relating to the first law of thermodynamics in the Big Bang theory. The Big Bang theory required that the universe be a closed system according to the first law of thermodynamics. Nevertheless, the ekpyrotic universe theory is utilized to explain the Big Bang. The first law of thermodynamics indicates that our universe was an open system. The Big Bang theory is optional.
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