you consider mathematical abstract ideas that have only a mental link to the real world as being more profound than mathematical constructs that are taken from the real world to explain the real world. Because I admire your mathematical prowess, I consider your logic in this area somewhat confusing.

The formula E= (u/k)c, that I have posted here many times throughout the years was designed to point out that mass is actually a combination of empty space, l^3, and something that forms the density within the space, but it turns out that the formula explains much more that that.
The inspiration to create the formula came from the old book that I have mentioned previously, the formula contains only simple mathematical functions of division and multiplication.
The formula is: E=(u/k)c, the mathematical functions are simple but the implication is profound. First of all the u is obtained by taking the constant represented by the speed of light in a certain density of space. The density of space can vary between two infinities, that is infinitely dense and infinitely diffuse. The density of space is caused by the presence of something that the scientist today call the Higgs field.

The speed of light has been measured and is close to 300,000,000 meters per second, and it has been accepted that this measured value is a constant, if we multiply the square of mass with the constant we will obtain a representation of the square mass under the influence of the constant. In other words the density that mass is made up of is accelerated by the force of about 300,000,000 m/s per second. When we take the square mass that is under the accelerating influence and divide it by the mass number we will have a number that represents the actual mass that we are familiar with in real life applications.
The mass number represents the density and weight of the mass and the rest of the “actual” number represents space content or potential energy of the actual mass.
If we accelerate that actual mass to the speed represented by c then we will get the maximum energy that the quantity of mass can have
The formula is: E=(u/k)c where u=c*k^2, and k=m, and c= 299,792,458 metres per second, and E= energy.

There are interesting differences between this E=(u/k)c formula and Einstein's formula of E=mc^2. In the E=mc^2 formula the c^2 remains constant and the mass adds to that fiqure through multiplication. To illustrate the math function of Einstein's formula, I will use 300 to represent the c and the number 90,000 as a representation of the c^2 and a value of mass from .5 and 1 and 1000.
Results then are as follows for Einstein. 90,000*.5 = 45,000, 90,000*1=90,000, 90,000*1000=90,000,000
Using the same mass numbers with the e=(u/k)c formula, the math function outcome is as follows.
E=(u/k)c. Where u=c/k^2. k=m. E= energy
In this formula the constant is represented by the number 300.
For u=300/.5^2: k^2=.5*.5= .25: u=1,200: 1,200/.5=2,400: u/k=2,400 * 300=720,000
For u=300/1^2=300. k^2=1*1=1 u=300/1^2=300. 300/1=300. 300 * 300=90,000
For u=300/1000^2: k^2=300/1,000,000=0.0003: 0.0003/1000= 0.000,000,3*300= 0.000,09

In Einstein's formula the higher the mass number is, the greater the total energy is also, that makes sense in the macroscopic world where mass can be moved at a ever increasing speed, but today's information tells us that mass is made up of a Higgs field, if the higgs field makes up mass, then perhaps it also makes up photons.
The formula E=(u/k)c gives us the link between energy and mass and indicates that photons have more speed than mass, simply because the photons have less of the density generating incredient of Higgs field than the massive objects.

At least that is what I think.