Can there be quantum mechanics without imaginary numbers?

Above: Complex numbers. Imaginary parts are marked by i. 

In the beginning. I must say that it's always possible to calculate a point in 3D spacetime. Very accurately. The movement of the object by introducing . Only the series of coordinates of the path. The object followed. Qw cannot draw a 3D image on a 2D layer. But we can list the points. In a 3D coordinate system, there are three coordinate axes (X,Y,Z).  

That the object’s trajectory followed. This list looks like this: (3,1,1) (3,2,2) (2,3,3), but. We cannot draw that graph. By using one coordinate system. If we could share those coordinates in three parts: (X , Y), (X, Z), and (Y, Z). We could introduce a 3D graph on a 2D layer. By sharing the 3D coordinates in three different coordinate systems. 

“Quantum mechanics has long relied on complex numbers to describe the strange behavior of particles, from tunneling to entanglement. A new analysis suggests that this mathematical language may not be fundamental after all. Credit: Stock” (ScitechDaily, Quantum Mechanics May Not Need Imaginary Numbers After All)

Imaginary numbers play a big role in quantum mechanics. Imaginary numbers are part of complex numbers. The first part of the complex number. It is used to determine the particle’s position in space. An imaginary part determines the particle’s energy level. This is the classical way to determine a particle’s position in 2D space. Now researchers are investigating the possibility of making those calculations using only normal numbers. This kind of possibility is the thing. That could make it easier to make those calculations. There is a possibility. That is, the imaginary part of the complex number is replaced. By using two different calculations. That means the primary and imaginary parts of the number. 

They are simply calculated. In different calculations, but using the same formula. In normal imaginary calculations with complex numbers. The complex number’s real and imaginary parts. Can be calculated separately. All of those calculations. They can be made by using real numbers. The system must just calculate vectors. Those are from different angles. We can imagine a situation. The 3D model of the space is transformed into a series of 2D models. The horizontal and vertical positions can be introduced with two different 2D layers. 

“Explanatory diagram for the research question—is quantum mechanics possible with only real numbers?—and results of the study. Credit: Pedro Barrios Hita, HHU” (ScitechDaily, Quantum Mechanics May Not Need Imaginary Numbers After All)

This means that the researcher can use three regular 2D coordinates. To introduce the object’s position in X,Y,Z axes. The normal X,Y coordinates can be used to improvise the position in the 3D space. The first coordinates are regular X,Y. And the others. They are the X,Z, and Y,Z coordinates. If the system must not draw images. The positions of the objects. They can be introduced very accurately using regular coordinates. X,Y, Z. This is the thing for. The system introduces positions in 3- or more-dimensional spacetime as a list of coordinates. So, we could use this model to introduce the positions. And energy levels in quantum mechanics. The system can use different coordinates for the energy levels and positions. This means that the number of those coordinates. They can be increased without limits. 

https://www.mathsisfun.com/numbers/imaginary-numbers.html

https://en.wikipedia.org/wiki/Imaginary_number