Friday, March 21, 2008

Quantum Newtonian Thermodynamic Kinetics

"Newton’s Law of Cooling describes the cooling of a warmer object to the cooler temperature of the environment. Specifically we write this law as,

T (t) = Te + (T0 − Te ) ^(e - k*t),

where T (t) is the temperature of the object at [any given] time t, Te is the constant temperature of the environment, T0 is the initial temperature of the object, and k is a constant that depends on the material properties of the object."(Arizona U. BioMath)

On the bottom layer, the photon, or exchange of momentum between electrons, is the quantum process that statistically exhibits this cooling in general agreement with the second of thermodynamics. Temperature is conceived of as the ambient average kinetic energy density of molecules, but at the atomic level of individual photons temperature is simply frequency or energy in different units obeying quantum logical kinetics of equal and opposite collective action by the serendipity of tuned frequency, in phase, with opposing binary orientation, of the emitting and absorbing electrons.

To apply Newtons law of cooling to quantum systems we must include both participants in the relation since nothing happens without two participants. We use E for energy vector units in place of temperature units since kinetic energy is a directed quantity and since frequency or color is the more prevalent interpretation of the kinetic momentum transfer exhibited by photons than temperature. We say the energy gained by one electron is the same as the Energy lost by the other. The ambient energy is the vacuum energy Ev.

Ev + (E1 -Ev)^(e-k*t1) = -E(t2) = Ev + (E2-Ev)^(e-k*t2)

Given a distance x between the objects (electrons/atoms) participating in the photon notion of the momentum exchange we can relate t1 to t2. If

t2=t1+x/c

From the perspective of the emitting electron and substitute in the above equation.

In this manner we can relate marcrocosmic entropy to quantum logical action leading to the Schrodinger equation.

The ground state of the electron is one hbar energy unit above the vacuum energy making it that which is minimally distinct from the vacuum energy by one bit of information. We may apply this to quantize the energy transmission relation to thermodynamic heat flow.

But momentum and hence kinetic energy is relative to motion and we have expressed a preferred perspective exhibiting a particular value of E. It is a model of a particular experience not an objective statement of what is experienced by all observers.

In the rest frame of the first electron, its own kinetic energy is zero. Clearly, from its perspective it was hit by the anti photon coming from the absorber which, relatively, has the higher energy, causing it to accelerate into a new reference frame backwards in time according to our perspective.

In this case t2=t1+x/c contracting out previous relation by a factor of 2*x/c. To include both these facts in a model containing both perspectives we must abandon the notion of absolute time and accept the time independence of the two participants equal to x/c leading to the Dirac relativistic equation. But neither perspective is really backwards in time causality since both perspective are needed for anything at all to happen and each sees a x/c time delay forward in time by relative perspective.

In this manner we can see how relativity emerges from quantum action by choosing a perspective. Not only is relativity consistent with quantum action but the relative nature of momentum and energy in quantum kinetics accounts for the relative nature of time itself. A quantum action is a singular event and cannot be attributed an absolute direction in time. Relativistically any light speed path is a zero time and distance path, it is local effect, not nonlocal, except by the distortion of some preferred perspective.

But, considering combinations of multiple perspectives that might be communicated we have can also see a doubling or canceling of momentum, A absorbed photon transfers all its momentum to a surface while a reflected photon imparts double its momentum to the surface or four times the energy. Considering all perspectives there is no entropy at all and the Schrodinger and Dirac equations do not apply. We can't say the system tends toward equilibrium and indeed, by non linear action, may be inflationary and more than conserve energy.

There are two separate realities, the experience model equal and opposite vectors average toward zero and energy is conserved and entropy increases. In the absolute model action is conserved and quantum logical complexity increases with time, exhibiting negative entropy by non linear action that is not zero sum, but additive absolutely in the grand scale of time.

Classical reality is the experience model where heat flows like a fluid in our experience. But we know how the kinetics actually work and how the statistics emerge. Quantum probabilities are not fundamental they are emergent. Non linear momentum exchanges across space do not spread out like a fluid. A photon from a laser goes just one way, not every way to some probability. It momentum is transferred as if the vacuum energy was a semi-solid taking all paths to a singular destination of a tuned receiver by push-me pull-you two way causality when both relative perspectives on the transfer are considered.

We cannot resurrect classical realism. Cause and effect can never account for relative momentum exchange. It I am sitting still my my reckoning way out is space and you are doing the same by your own reckoning, when we happen to slam into each other each will blame the other to have caused the accident if they follow classical cause and effect reasoning. This is simply incomplete thinking in a kinetic world where quantum kinetics is relative by Newtons laws the only consistent reality becomes Einstein's laws due to this relative nature.

Instead there is a new reality where all elements of a quantum system equally participant in the cause of the action. Choosing any particular participant to be the "observer" gives an incomplete relative experience model not an objective model of the quantum logical collective action. The distinction between a measurement and an effect is artificial. A measurement is only one cause as in relative collective existence the distinction between causes and effects is also artificial as nothing happens without both happening by quantum logical equal and opposite action being all that happens.

Jim
http://InformationPhysics.com