The idea is simple and goes like this : I have energy in the form of some waves. I assume there are lot of them; they overlaps at some instances and become localised and stable. Stable like they had the covering of an infinite potential well around them.
Consider you have some waves. You can represent them mathematically for the theoretical purpose. They have very high energy initially.
I am assuming the nature of waves to be linear or non-linear. Linear waves are easier as they could super impose as per their look alikes and could form a wave packet. This idea exists already. It could be mathematically defined by Fourier series and transform. What about non-linear waves?
Non-linear waves don't superimpose,just because they aren't linear and linear algebra isn't valid. But they do can mix and form single final waves under certain circumstances.
The best and first simple non-linear wave equation is the Korteweg-deVries equation. Why I deliberately choose this so early at this first phase of thoughts is as they support the existence of Solitons.
Solitons are travelling waves of non-linear nature,which can persists an interaction with another soliton. Whenever they pass through each other,they emerge in the same shape and with the same speed with a small change in their initial phase shift.
Solitons are generally the solutions of non-linear partial differential equations. Which are having a permanent form,localised nature and can interact with one another.
My idea is to use debroglie's hypothesis far into the quark level. 6 type of quarks are found to be the fundamental particles inside fermion category. What if extension of debroglie's hypothesis with non-linear waves could mathematically describe quarks,rather than just assuming to be some fundamental particles?
There are various versions of Solitons such as Bions,Compactons,Nematicons,Oscillons,Peakons etc
Considering the relativistic behaviour of a non-linear wave,we must sometimes be able to use debroglie's hypothesis and reach to the exact energy varying nonlinear wave packet corresponding to the fermionic quarks.
This could ,if possible solve the reason behind the formation of matter itself.
Consider you have some waves. You can represent them mathematically for the theoretical purpose. They have very high energy initially.
I am assuming the nature of waves to be linear or non-linear. Linear waves are easier as they could super impose as per their look alikes and could form a wave packet. This idea exists already. It could be mathematically defined by Fourier series and transform. What about non-linear waves?
Non-linear waves don't superimpose,just because they aren't linear and linear algebra isn't valid. But they do can mix and form single final waves under certain circumstances.
The best and first simple non-linear wave equation is the Korteweg-deVries equation. Why I deliberately choose this so early at this first phase of thoughts is as they support the existence of Solitons.
Solitons are travelling waves of non-linear nature,which can persists an interaction with another soliton. Whenever they pass through each other,they emerge in the same shape and with the same speed with a small change in their initial phase shift.
Solitons are generally the solutions of non-linear partial differential equations. Which are having a permanent form,localised nature and can interact with one another.
My idea is to use debroglie's hypothesis far into the quark level. 6 type of quarks are found to be the fundamental particles inside fermion category. What if extension of debroglie's hypothesis with non-linear waves could mathematically describe quarks,rather than just assuming to be some fundamental particles?
There are various versions of Solitons such as Bions,Compactons,Nematicons,Oscillons,Peakons etc
Considering the relativistic behaviour of a non-linear wave,we must sometimes be able to use debroglie's hypothesis and reach to the exact energy varying nonlinear wave packet corresponding to the fermionic quarks.
This could ,if possible solve the reason behind the formation of matter itself.
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