The wave-particle duality is phenomenon that bogglers the minds of scientist the last century. Not being a scientist it’s easy to explain why this phenomenon seems to occur, or what's the essence of the ‘problem’. The scientist wonder how it’s possible that elementary particles, like atoms, have a particle and a wave nature. What's spooky: They are particle and wave at the same time. 

 

Joke

You only have to look at the planets turning around the sun from a 4D perspective and it’s very easy to understand. (Look at the macro cosmos to understand the micro cosmos, that's logical since our universe is holistic organized).
The 4D perspective is the perspective that excludes time (and therefore movement). If we look at the earth spinning around the sun with this view the whole circle would be filled up with earth. It would look like a worm that describes an ellipse around the sun. Whiteout time (the nature of consciousness) all 360 days would happen at the same moment. With that in mind now turn back to the atom.

 

Because our thinking/consciousness is in a 4D world/field (the 4th in itself has also 3 dimensions, but skip this for now) and we are looking at a 3D world we have to focus on 1 moment to see a separate part. To eliminate the atom out of the circle, that appears as a worm (wave) , we have to choose. Where the movement of the planet around the sun is much more slower than our consciousness, the atoms circle at a much higher speed than we are able to capture/can become aware of.
The wave-particle duality phenomenon appears to us, according to Einstein: ‘We have two contradictory pictures of reality; separately neither of them fully explains the phenomena of light, but together they do’.

This is less complicated than Einstein assumes (when viewing from a 4D perspective). What happens looking at the particle scale is as follows: We see the whole, the whole circle the particle describes, and the particle itself at the same time.

That we as human beings have the ability to fix a particle is an another issue. I have an answer on that 'miracle' too by the way. That is because we create reality. Consciousness creates reality and our minds are part of the bigger consciousness that creates the universe.

 

 

Wikipedea

Through the work of Max Planck, Albert Einstein, Louis de Broglie, Arthur Compton, Niels Bohr, and many others, current scientific theory holds that all particles also have a wave nature (and vice versa). This phenomenon has been verified not only for elementary particles, but also for compound particles like atoms and even molecules. For macroscopic particles, because of their extremely short wavelengths, wave properties usually cannot be detected. Wave–particle duality is the fact that every elementary particle or quantic entity exhibits the properties of not only particles, but also waves. It addresses the inability of the classical concepts "particle" or "wave" to fully describe the behavior of quantum-scale objects.

As Einstein wrote: "It seems as though we must use sometimes the one theory and sometimes the other, while at times we may use either. We are faced with a new kind of difficulty. We have two contradictory pictures of reality; separately neither of them fully explains the phenomena of light, but together they do".

 

Before you read the history beneath you have to understand that (1) light has no speed at all. What we experience as matter is that which (through our senses) resists light. All matter is energy on a ultralow frequency. Light is the higest frequency. It's so fast that it's everywere at the same time.

(2) A wave (3D) must be seen as a part of a circle (4D).  

 

History

Aristotle was one of the first to publicly hypothesize about the nature of light, proposing that light is a disturbance in the elementaether (that is, it is a wave-like phenomenon). On the other hand, Democritus—the original atomist—argued that all things in the universe, including light, are composed of indivisible sub-components (light being some form of solar atom). At the beginning of the 11th Century, the Arabic scientist Alhazen wrote the first comprehensive treatise on optics; describing refraction, reflection, and the operation of a pinhole lens via rays of light traveling from the point of emission to the eye. He asserted that these rays were composed of particles of light. In 1630, René Descartes popularized and accredited the opposing wave description in his treatise on light, showing that the behavior of light could be re-created by modeling wave-like disturbances in a universal medium ("plenum").

Beginning in 1670 and progressing over three decades, Isaac Newton developed and championed his corpuscular hypothesis, arguing that the perfectly straight lines of reflection demonstrated light's particle nature; only particles could travel in such straight lines. He explained refraction by positing that particles of light accelerated laterally upon entering a denser medium.

Around the same time, Newton's contemporaries Robert Hooke and Christiaan Huygens—and later Augustin-Jean Fresnel—mathematically refined the wave viewpoint, showing that if light traveled at different speeds in different media (such as water and air), refractioncould be easily explained as the medium-dependent propagation of light waves. The resulting Huygens–Fresnel principle was extremely successful at reproducing light's behavior and was subsequently supported by Thomas Young's 1803 discovery of double-slit interference.

The wave view did not immediately displace the ray and particle view, but began to dominate scientific thinking about light in the mid 19th century, since it could explain polarization phenomena that the alternatives could not. Thomas Young's sketch of two-slit diffraction of waves,

James Clerk Maxwell discovered that he could combine four simple equations...read further at wikipedia

 

At 2006 Paulus van Schaik added: You can explain quantum fysica more easy when you look with a 4D perspective to a 3D world. You have to understand that duality is caused by counsiousness and that our thinking itself is part of the giant consiousness that shapes energy and matter. Duality is the individual consiousness versus the all (a giant consiousness that creates our universe).

In the outer world the history of the giant consciousness is visible, in the inner world we can influence the tempi of vibrating energy and thereby create matter. To the world inside us we are like God/the All is to us. 

 

I believe that consciousness and electricity are the same stuff.  It's intelligent energy. So looking at the image below which is said to be Interference of a quantum particle with itself. This would be thought energy entering our brain where inner and outer world meet. Think of the two worms. 

It's not that amazing.  it's a very common principle that one is two at the same time. Think of copiing information with a computer.

A thought can be at two places at the same time.  In two minds at the same time. As an individual thought and in the All at the same time.