[ron123456 (OP)]

It is stated :
"Wave–particle duality is the concept in quantum mechanics that every particle or quantum entity may be described as either a particle or a wave. This phenomenon has been verified not only for elementary particles, but also for compound particles like atoms and even molecules. …"
Then why doesn't it apply to protons or larger 'electron stripped' atomic nuclei of cosmic waves? ….If de Broglie and then Schroedinger incorporated standing waves for the atomic electron, then perhaps this concept should only apply to a fundamental particle? If not, then I'm again confused of why cosmic waves are not on the Electromagnetic Wave spectrum?...…

[Bored chemist]

Then why doesn't it apply to protons or larger 'electron stripped' atomic nuclei of cosmic waves?

It does.

[ron123456 (OP)]

If it does, then this implies that a cosmic wave does have a wave property....Is this wave property not an electromagnetic wave property?..... If it is an electromagnetic wave property, then why again is it eliminated from the electromagnetic spectrum beyond gamma rays?

[Bored chemist]

You need to explain what you mean by "cosmic waves"
Protons and stripped nuclei follow the de Broglie  equation.

[ron123456 (OP)]

my interpretation of a cosmic wave : ......an extremely high energy proton particle or an extremely high energy heavier atomic nuclei particle without it's electrons travelling thru space prior to a collision and destruction with an atmospheric nitrogen atom   

[Kryptid]

The electromagnetic spectrum applies solely to photons. Cosmic rays contain a mixture of different types of particles.

Wave-like properties have been observed in very large molecules: https://medium.com/the-physics-arxiv-blog/physicists-smash-record-for-wave-particle-duality-462c39db8e7b

[ron123456 (OP)]

Sounds like all particles less than a certain macroscopic size should exhibit both wave and particle like characteristics….I would think that any particle composing a cosmic ray would be below the threshold allowing wavelike nature? Even if not, some types of particles of the composition mixture must be (" Cosmic rays contain a mixture of different types of particles.").
This being said, then cosmic rays should be considered on the EM spectrum)? Perhaps?

[Kryptid]

This being said, then cosmic rays should be considered on the EM spectrum)?

No, because:

The electromagnetic spectrum applies solely to photons.

[ron123456 (OP)]

I never thought of it that way...thx