“You see me as Time destroyer of worlds” Krishna
from the Bhagavad Gita. This video places the God equation eiπ+1=0,
known as Euler Identity within the fabric of space and time. This will be quite
easy to follow because the mathematics of this theory represents the dynamics
geometry of a three dimensional physical process. I will use diagrams to help
explain how Euler Identity is at the heart of this process of continuous energy
exchange that we see and feel as the continuum of time.
Euler number e plays a major part of Euler Identity
and can also be found everywhere in such diverse things has radioactive decay,
temperature change, probability theory, electronics, harmonic motion,
chemistry, biology and how the growth rate of interest on money is relative to
the length of each time period it is calculated to. These are just a few of the
subjects connected to Euler’s number e. Nevertheless, there is one thing that
connects all the diverse subjects that the number e is connected to and that is
they are all processes over a ‘period of time’. And I believe this is the key
to understanding Euler Identity and why the number e is everywhere in nature
and physics!
In the theory explained in the video above the
wave particle duality of light and matter in the form of electrons is acting
like the bits or zeros and ones of a computer forming a blank canvas that we
can interact with turning the possible into the actual! Time is an emergent
property with the future continuously coming into existence with photon ∆E=hf electron
interactions relative to the position and actions of the atoms! As can be seen
on the diagrams in the video we have a photon electron coupling representing ‘the
moment of now’ or t=0 with +1 and -1 representing the positive and negative of
electromagnetic waves or light. This is
linked to Euler Identity with 1 photon plus e^iπ equal zero, t=0 'the moment of
now' within an individual reference frame. This theory takes 'the moment of
now' out of philosophy and places it within physics as part of a physical
process. This gives Euler Identity a place in the structure of space and time!
Quantum mechanics represents the physics of time as a physical process of
continuous creation that we can interact with turning the possible into the
actual! Photon ∆E=hf energy is continuously transforming potential energy into
the kinetic Eₖ=½mv² energy of matter, in the form of electrons. Kinetic energy
is the energy of what is actually ‘happening’. This geometrical process formed
by the spontaneous absorption and emission of light photon energy is
continuously forming a probabilistic uncertain ∆×∆pᵪ≥h/4π future.
The 4π can represent spherical 4πr² geometry this
can be based on Huygens’ Principle of 1670, that says: “Every point on a wave
front has the potential for a new spherical wave”.
We can think of the ‘point on the wave front’ as a
photon ∆E=hf of energy with an uncertain probabilistic future unfolding with
each photon electron interaction.
Because the process is unfolding relative to the
spherical surface of the wave front, we have to square the radius r². This is
seen in the mathematics of quantum mechanics as c² the speed of the process,
the speed of light squared, and e² representing the electron squared.
Spheres always intersect as circles 2πr, and this
is why we have 2π in the mathematics of quantum mechanics. The two-dimensional
surface of the sphere forms a manifold or boundary condition for positive and
negative charge. The inner concaved surface forms negative charge and the outer
surface forms positive charge.
Light radiates out as a sphere and when the surface
of the sphere comes in contact with the electron probability cloud of an atom
it forms a photon electron coupling and our three dimensional world changes
with the movement of positive and negative charge.
We measure this process as the passage of time with
the interior of the sphere forming our three dimensional space. Therefore, we
have Heisenberg’s Uncertainty Principle ∆×∆pᵪ≥h/4π between position and
momentum with 4π in the equation representing the spherical geometry.
If we reformulate the uncertainty using energy and
time instead of position and momentum, we have 2π in the equation ∆E∆t≥h/2π
representing the surface of the sphere.
This geometrical interpretation of quantum
mechanics is supported by the fact that the Planck constant h/2π is also link
to 2π.
When there is an exchange of energy in the form of
a photon ∆E=hf electron coupling or dipole moment the energy levels cannot drop
below the centre of the sphere because the process is relative to the radius.
This forms a minimum amount of energy forming a constant of action in space and
time that we see mathematically as the Planck constant h/2π linked with 2π
representing the circumference 2πr.
REFERENCES:
The Heisenberg uncertainty principle also contains
the number π. The uncertainty principle gives a sharp lower bound on the extent
to which it is possible to localize a function both in space and in frequency:
with our conventions for the Fourier transform:
https://en.wikipedia.org/wiki/Pi
Euler's
identity
https://en.wikipedia.org/wiki/Euler%27s_identity
Euler's Formula and Euler's Identity
Have we Discovered Only Half of Physics? The Hidden
Supersymmetry
https://www.youtube.com/watch?v=9nx455-_h68
Is Symmetry Fundamental to Reality? Gauge Theory
has an Answer
https://www.youtube.com/watch?v=paQLJKtiAEE
~~~~~
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