The dark energy that the universe needs to expand has not yet been discovered. In addition, the nature of dark matter is a big mystery. We need a new theory to explain what the mechanism of the Redshift is and how it works. In the Quantum Redshift (QR) theory, sharing one-dimensional quanta energies of some periods between other periods of electromagnetic waves is the reason for the Redshift. Each period of the electromagnetic waves is like a virtual box that was not fully filled at the emitting time. At the emitting time, the amount of free positions depends on the mass of the emitter.

To test the QR theory with real data, we used SIMBAD Astronomical Database. The information was retrieved from almost 2,200,000 records. The distance of the objects was between 413.13 and 0.5 (mas). Results confirm sharing more quanta energies and more Redshift for distant objects in a non-expansion universe.

On the other hand, the paper shows by increasing the distance, the Quantum Redshift will be increased faster, especially for Z>1. Hence, we can explain the higher rate of increase of the Redshift of the distant objects in a non-expansion space using the Quantum Redshift. The Quantum Redshift theory disagrees with dark energy and the expansion of space.

On the other hand, the Quantum Redshift theory indicates that the Cosmic Microwave Background (CMB) is not a sign of the big bang. No matter what the material of the emitters is, their spectrum will be converted into the spectrum of the lower temperatures in Planck's diagram over time. This process will be continued until their spectrum reaches the CMB spectrum. Therefore, CMB can originate from any object. The paper also predicts that dark matters are massive objects whose spectrum converts to the CMB faster than other objects.

Finally, the paper explains how the black holes emit energy and why they are unable to absorb all the energy in the universe.

We anticipate our assay to be a starting point for a non-expansion space model of the universe or static universe. Predicting new age and new size of the universe and recalculating distances between stars and galaxies in a non-expansion space is another usage of the QR theory.