The complex approach
Josh
physics gain meaning as the concepts reduce. For example, you can use
a few simple postulates that can be observed/abstractly developed,
like numbers and addition, to develop the entirety of algebra.
The way I see it, the benefit of this new Complex approach is that it
takes a handful of difficult questions (how can we explain the double
slit experiment, what is wave-particle duality, where does the
Schrodinger equation really come from, etc) and reduces it to only two
(very tough) questions.
1. What is the Quantum potential/force?
The question is borderline philosophical, but just as gravity was
better illuminated by General Relativity, I think a similar
development may illuminate Quantum potential.
2. Does complex space exist?
The term "imaginary" used to denote sqrt(-1) is a bit of a misnomer,
because it assigns a subjective term to a mathematical concept.
Complex space MUST exist. But why can we not measure/visualize it?
What is it about complex space that makes it "non-real"?
In the search of a Grand Unified Theory I must note the similarity
between the transformation Dr. Yang uses in his developments and the
equation for entropy. Compare:
Entropy: S = k ln(omega)
Yang's wavefunction transformation: S = ih ln(psi)
I'd love to hear your thoughts.
Han
simple and symmetry. The motivation of Prof.Yang doing the research
about the connection between quantum mechanics and classical mechanics
is he believe that there must be something missing between those
mechanics. According to the Chinese culture, we believe that there are
two part of our world, one is "Yin", the other is "Yang" which
corresponds to the "real" world and "imaginary" world, respectively.
Started from this concept, Prof. Yang try to make this abstract idea
become real physics. After 6 years longly research, quantum Hamilton
mechanics is the result. It use very easy concept which is to expand
the dimension to the complex one under the frame work of classical
mechanics. As you can see the quantum Hamiltonian appeared naturally
from the S.E equation and gives us the "quantum potential" term. So,
my anwser of the 1st question is:
1. So far we have no answer for the source of the quantum potential.
But I have an idea that I think it may relate to the field problem. I
think that the existence of the quantum field is due to the particle
interacting with the space. The interaction generates the source of
the quantum field. Just similar to the mass and gravity. But it is
just my guess. Since the next step of our work is try to connect the
general relativity to our theory, maybe we will have the anwser then.
2. The complex space includes the "real" world and the "imaginary"
world. The main reason that we cannot observe the imaginary world is
because we live in the real world. What we can measure is only the
projection of actual happening to the real world. Just like a ant
lives in the plat plan, he never know what happen in the 3 diemnsion
space. What he can see is only the projection to the plan. About the
question "Does the imaginary would really exist?" I think the anwser
is YES. Otherwise, we cannot explain those quantum phenomenon
perfectly. In the other hand, the natural always remains some clues
for us. As you can see, there is a "i" in S.E.
About the last part you mentioned really interesting. I never think
that before. I think it may give us some hint too. Maybe it is a
connection between those different physics.
Thank you for your question. Looking forward to your suggestion or
further question!!
Josh
and I personally believe that entropy and quantum potential are BOTH
somehow derived from the natures of complex spacetime, just like
gravity is derived from spacetime.
The step that would really finalize the theory would be to give a
derivation of the quantum potential without using the Schrodinger
equation, and I think your goal to unify it with general relativity
may provide this result.
When I studied thermodynamics, I always wondered what a microstate
really WAS. I still am wondering what a wavefunction is in QM. I
actually find that the concept of quantum potential is very simple and
much more straight-forward than any explanation I have yet seen--but
this still does not give a source for the wavefunction. Is the
wavefunction fundamental or do you think it can be eliminated?
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Han
function. As far as we know, the wave function is an equation to
describe the electronic fluid which is composed of a lot of different
electron's trajectory. And what is the source of the wave function? We
believe that it is some kind of field which is so-called the "quantum
field". But we still don't know what cause the quantum field. Maybe it
is the interaction between the particle and complex spacetime. As
meanwhile, the wave function from this point of veiw, it becomes the
assemblage of a lot of electron's trajectory correspond to the concept
of the entropy, gathers a lot of microstates. I believe there must be
some connection between them, maybe the anwser is hidden in the
complex spacetime like you said.
Furthermore, this more fundamental anwser for the quantum field can
leed us to obtain the quantum potential without using wave function.
The puzzle will be solved when we realize what cause the quantum
field. Just like we know what is the gravitation as we know how the
mass interact with the spacetime.
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