Dear Tiainen
Regarding your comment at my current essay;https://fqxi.org/community/forum/topic/3143
Sorry that the changed terms in different feilds of knowledge and interpretations have lost most important fundamental terms of physics discipline, that are necessary to define What is fundamental in physics.
"Your one indivisible atom sounds very odd to me"
I didnt mean the chemical atom, that Dalton mistakenly gave to chem.elements
Indivisible is the original meaning of the Greek word Atom, which Democtratus coine to the Nature's fundamental particle which physics discipline and Natural philosophy are based on. Therefore I strongly propose to keep term to its real meaning.
I hope you now that the answer of question, What is fundamental? Is somehow depending on physcs. Since physics is the聽natural science聽that involves the study of matter聽and its聽motion聽and behavior through聽space and time, along with related concepts such as聽energy聽and force.In other word one can't study any effect without matter.
Although these metaphors in terminology my answer is focusing Nature's Fundamental particle (matter) and energy Force that are still unsolved, or profoundly explained.
I am readin your essay and will comment more after evaluation. Some points I appreciated are, "Clearly pure mathematical properties (p0,p1,p2,p3,....pn-1,pn,pn+1,......) are matched up with to
cardinality classes 0,1,2,3,....... so" "Hypotenuse box" (Pythagorean).
Regarding " bird eye and Frog eye, systems connection,Quantum monogamy".
Are conceptually included in modelling, though it would be better to use 3D spherical clustering Program.it means that model used can be applied any particle's clustering, ex; electron, proton Neutron, atomic Nuclei, DNA, Dark matter, and so... But since this is summarized basic theory due to contest limitations detailed explanation require a lot.
I am sure that "Most of the fundamental ideas of science are simple and can be expressed in a language comprehensible to everyone".
In 2010, my previous essay. http://fqxi.org/community/forum/topic/794
I explained the Natures fundamental as simplest, smallest thing of all.
On the other hand, I believe that current physics fundamental problems amongst dealing with fundamental terms such as original meaning of "Elementary" "Quanta" "Atom" .
I found that biggest and misleading one off all is the term "massless"
Question related fundental problems of phys;
What is Elementary Quanta?
What is Light Quanta?
What is elementary Charge?
What is Photon?
What is Elementary particle?
What is elementary energy?
How these terms are related each other?
Is E=mc^2 fundamentally applicable to all matter?
Why light is affected by Gravity?
What are Gravitational waves?
Why we still discover Einsteins theory?
Why Newtons simple statements Gravity is still most important of all Physical science?
Is any scientific theory that we can overall spectrum of physical sciences?
Which is natures dominant structure/shape at all level?
Which way philosophical/ scientific idiea from the known history we come to here?
Any possibility to continue it?.......
"All these fifty years of conscious brooding have brought me no nearer to the answer to the question, 'What are light quanta?' Albert Einstein.
In general (when dealing with light EM), I have different actions to Feyman's the three basic actions;
-Action #1: A photon goes from place to place.
-Action #2: An electron goes from place to place.
-Action #3: An electron emits or absorbs a photon.
My opinion
-Action #1: A photon does not goes from place to place, but its energy is tranfered as wave(force influence/gravitational wave/dynamics).
-Action #2: An electron does not goes from place to place, but its energy is tranfered as wave(force influence/gravitational wave/dynamics).
-Action #3: An electron emits or absorbs a photon's energy, but not photon itself.
Every particle's total energy must contain same quanta (certain quantity), of elementary energy, that equals the total quantity of elementary particle's(Photon's) energy.
Since elementary mass 1.7x10^-36 kg, by dividing any particle's Mass into the elementary mass, we obtain ratio that equals to quantity of photons (note integer number).
Every particle's total mass must contain same quanta (certain quantity), of elementary mass, that equals the total quantity of elementary particle's(Photon's) mass.
Since elementary energy 1.6x10^-19eV, by dividing any particle's energy into the elementary energy, we obtain ratio that equals to quantity of photons (note integer number).
Proton; 938, 272 081 MeV. 938 272 081 particle (Photons). ODD number of photons.
Electron; 0.510999 MeV. 510999 particles. (Photons). ODD number of photons.
Neutron; 939. 565 134 MeV. 939 565 134 particles(Photons) EVEN number of photons.
You may also discuss following from Gravitational angle;
Coulumb's constant?
Universal Gravitational constant?
G wave and EM wave same speed? Why?
Pauli exclusion?
Dimensions in String theory?
.......
Best wishes.
Bashir.Attachment #1: 4_Bashir_Quantum_Mech_and_Relativity_Theory.pdf