We may further assume that a particle according to its energy level gets involved with a harmonic wave-like curvature of space and continues its journey just like a planet or any other object traveling in a gravitational field or just like a car following the path of a curved road.

 

Bodies and Waves

The fundamental particles (fermions) have longer wavelengths. Therefore, in this scenario the waves in bigger scales belong to fundamental particles. Since the known particles are numbered and have specific frequencies, the micro–curvature of space cannot be completely random phased, rather the space waves created by ZPE at least in bigger wavelengths have to be numbered with specific frequencies. In addition, Pauli’s Exclusion principle indicates that just a handful of useable waves in larger scales are formed.  According to Pauli’s principle particles occupy their territory exclusively. They do not share their trajectory with any other similar particles.

As we get to smaller wavelengths, we gradually get closer to the territory of hadrons and atoms and molecules and then larger objects. Bigger objects oscillate in smaller wavelengths. If you had a bowling ball with a mass, of say one kilogram, moving at one meter per second, its wavelength would be about a septillionth of a nanometer. This is so ridiculously small compared to the size of the bowling ball itself. That is why we never notice any wavelike motion while looking at a bigger object.

Here we can get philosophical and postulate that each one of us just like any other object have a wave like motion and enter and exit singularity in each period of our wave motion. Then this can explain some of the strange findings in transpersonal psychology experiments.

 

Mass and Wave Function

In the previous chapter, we presented the detailed format for particle-wave function in this model. Above, I also explained my conjecture about the nature of the rest mass of particles.

 

In following paragraphs, I apply the above format to actual particles to see if the above model is in line with observations and experiments.

 

Compton Wavelength

How would a particle choose which wave to follow? De Broglie introduced the Compton frequency as an intrinsic character of each particle or object.

The Compton wavelength of a particle x is obtained by 
λ_x= h / m_xc and Compton frequency by  f_x= m_xc/h where m_xis the mass of particle and h is the Planck constant.

 

Everything else being constant, mass is directly proportionate to frequency.

Previously, I have assumed that particles in their wave like motion enter and exit singularity relative to their frequency. We may assume that from here kinetic and potential energy will cause the wave motion to continue as long as they are not disturbed.  Obviously as long as Compton wavelength of a particle does not change its character stays the same, but if Compton wavelength changes we are dealing with a new particle. Changing the Compton frequency is possible in high energy accelerators.

 

In accelerators the new particles are constantly formed and interchange to each other.
Inversely, we can postulate that the wave chosen depends on the amount of energy (kinetic energy) which is delivered in by a specific particle. Combining it with the assumption of preexisting plane waves we may conclude: