Much appreciate your efforts, timer.
But try it this way.
USE NO MATH EQUATIONS. USE NO MATH SYMBOLS.
Just use common, simple words and common-to-daily life stuff to make examples.
Many of us are geniuses in our own spheres of giftings. But if that's not the math intelligence quotient, then we are deaf and blind to your math equations etc. more or less. More math will not cure our deafness and blindness. You must speak in a language we can comprehend easily and well or it just won't soak in no matter how much we may want it to.
matter waves sound plausible but hard to conceptualize. Make it easy.
Most of us have seen boat caused waves, wind caused waves and many of us tide caused waves. Some of us can even conceive of waves from opposite shores colliding . . . and perhaps even waves on water surfaces at 90 degrees to each other.
But that's probably starting to stretch our conceptualization abilities unless you help with simple words and illustrations.
Perhaps you need to speak of waves through different densities or some such at the same time. I don't know how to tell you to do what I don't understand. I can only say that teaching this pig to sing is a tricky business and a pretty futile business with math equations. Simple words will do it or it won't be done.
This is why many a teacher's hair turns prematurely GRAY.
Ok, let's try this : Put your fingers in your ears. "Sound" is a wavetrain of compression-tension-compression-tension = ups and downs, or crests and troughs in the molecules of air that you live in. Air like water is a FLUID.
Thus by stopping most of those compression(push)-trough(pull) wave pulses on your elastic eardrums you hear less sound. Open up again and the elastic eardrum vibrates the bones(hammer, stirrup, anvil)which vibrates the cochlear nerve. That then translates the coherent motion of the vibrations into an neuron-electrical signal, which is sent to a certain part of the brain, where you actually HEAR.
Thus, OVER RUNNING wave energy(push/pull/push/pull...)is SOUND. Sound is also measured by intensity(bels and decibels)and pitch(frequency). One persons "sound" may be another person's "noise". This is all pretty basic, yes?
Light : the photon(particle) stops at your retina but the OVER RUNNING ElectroMagnetic WAVE kicks an electron out of orbit in the cone or rod, up the optic nerve and to the brain, where you actually SEE. The visual range is in the 4000(Ultraviolet)to 7700(deep red)angstrom range, one angstrom being ten to the minus ten meters in length(.0000000001 m).
Your eyes, as detectors, are "read" about 40 times/sec by your brain(individual photo frames). This is why some get headaches in fluorescent-lit buildings with 60 cycles/sec AC(bright-dim-bright-dim and beat frequencies).
Atoms are about one angstrom to five angstroms in diameter, far smaller than 4000 to 7700 angstroms. This is why you can't SEE them, no matter how powerful the microscope. With the electron microscope, electrons being MATTER WAVES as well as particles, you CAN see individual atoms.
Time : matter waves are h/mv where h is the quantum = 6.625 x 10 to the minus 34 watts = .000 000 000 000 000 000 000 000 000 000 000 6625 watts. That's a VERY tiny number, yes? Then when you divide it by the mass of everyday objects, like baseballs, in kilograms and velocities in meters per second; you get VERY short wavelengths.
Thus the fast ball pitch (96 mph) has a matter wavelength of .000 000 000 000 000 000 000 000 000 4 meters(give or take). That's some 20 orders of magnitude shorter than visual wavelengths. Now do you see WHY you don't SEE matter waves, you FEEL them as decelerations, weight, which is...........TIME : OVER RUNNING WAVE ENERGY(W>P is Wavelength greater than Particle velocity).
Sorry, but that's about as simple as I can make it. This is advanced physics we're talking about here, and you're still in kindergarten, dog paddling as best you can. It feels like you're caught in an undertow, being carried out to sea.....
Do what I did once in that situation on Playa Azul beach in mexico : swim SIDEWAYS, and learn that there are rotating vortices near the shore, they'll carry you back IN as quickly as they carry you OUT.