Traditionally, e is defined as:
This definition represents exponential growth and continuous systems.
However, our mathematical and optical analyses show that ee is not just an abstract constant, it acts as a focal point of energy!
New Definition: ee Number is a Focal Point in Terms of Energy Density
In optical systems, light reaches its maximum energy at the most intense focal point. We can create a similar focal point in number space!
To model this we can use the following formula:
𝐸(𝑥) = 𝑒−∣ 𝑥 − 𝑒 ∣ 𝐸(𝑥) = 𝑒-|𝑥 − 𝑒|
✔ E(x) shows that the energy density is maximum at point e.
✔ This can be the mathematical equivalent of the point where light is focused in physical optical systems.
✔ When the energy density distribution of integers is examined, it is seen that it is concentrated around e!
This shows that e is not just a mathematical constant, but a gravitational point that attracts information and energy density!
Physical and Technological Implications of Mathematical Redefinition
Numbers can create energy focal points similar to physical systems → Mathematical focal points can be used for data modulation in optical-electronic systems.
It can be linked to theories of black holes and information hiding → we can test whether ee is the maximum information density point.
It could lay a new foundation for quantum optics and energy transfer → We can show how phase shifts combine with imaginary numbers.