vector potential

[AntonioLao]

In the most ordinary descriptions of the world, the only things to worry about are the independent changes of potential energy and kinetic energy. No more can be said for kinetic energy than the following: it is always velocity dependent, and for unit constant mass, it is directly proportional to the square of velocity. Moreover, its formulation fits the variance of 2-particle system with a factor of ½, K.E. = ½mv. Extending to relativistic description, it becomes a 1-particle system with variance’s factor equals to unity, K.E. = mc. On the other hand, potential energy could well depend on position as much as on velocity, when position dependence, it almost fits descriptions by scalar potential, when velocity dependence, it can only fit descriptions of vector potential. Realistically, it depends on both at all time. This manifested more prominently at very small time of the quantum domain. As a principle of quantum mechanics, it had been well established that at constant mass the product of change in position and change in velocity is a number greater or equal to Planck’s constant of action. However, a question remains unanswered. Why the mass factor is constant? Mass is exclusively a property of particle, while energy, as widely accepted, is a property of both particles and field (waves). In the strictest sense, both particles and field should have been exclusively dependent on energy and not at all on mass. Fortunately, energy is quantized but mass is not. The quantum of energy is called a photon.

Since the pioneering works of Gregor Wentzel, the gauge condition had been established mainly to eliminate all the bugs found in any quantum field theory. This was used to justify the independence of both scalar and vector potential, which amount to changing the number of degrees of freedom. Zero degree for particle and infinite degrees for field. Conventional wisdom says that it is impossible to have it both ways: big and small, far and near, rich and poor, good and bad at the same time for a total perspective or point of view of a given situation or condition. The truth is that reality is dually ruled by both scalar potential and vector potential. Internal physical constraints rule the former while external physical constraints rule the latter. The boundary separating these two distinct types of constraint holds all the properties for describing particles or all objects enclosed by closed surfaces. Nevertheless, the undeniable existence of magnetic field strongly suggests that all these enclosed surfaces of matter must at the least contain a hole or say a window between inner space and outer space in order for interactions to occur. Nonetheless, the quantum vacuum is windowless, it has no inside or outside. It just is. It does not interact unless during total contact.

[mkirkpatrick]

Difficult questions here Antonio,great thread starter.
The existence of magnetic fields,the suggestion of a possible hole in the enclosed surfaces
of matter,or maybe a window?

And the closing of the window,by the understanding that the quantum vacuum is
windowless,that it has no inside or outside,it just is! It does not interact unless during
total contact.


The dual aspect of magnetism,which to me are the "outriders" of YING and YANG,are I
feel the answer to the question of how?The key word here too I think is simultaneously!

Iteractactions seem to occur,vector potentials seem to be realised,but all is not as it seems?

As you so astutely pointed out Antonio,the quantum vacuum just is!

The question is then what exactly is it ,that just is?

The answer for me is that it is a ubiquitous etheric field,in which the universe is displayed
in!

regards michael.

[gautam]

I think there cant be any equation between two dissimilar things.As you can never say two bananas are equal to how many apples. In your equation too, the energy ,mass and velocity are nothing but one thing ,if they were not then there would be no equation among them. This also perhaps solves the problem of vector ans scalar. Thats what Antonio the mest theory of TOE is. The universe is made of just one constituent. Mass with velocity can have vector quality if you dont see the two seperately. And at the speed of light can change into energy without really changing. The sum total of mest remains same, unchanged
regards
Gautam

[AntonioLao]

The answer for me is that it is a ubiquitous etheric field,in which the universe is displayed in!

Too bad that the vacuum stubbornly refused to interact with matter or with energy.

[mkirkpatrick]

Too bad that the vacuum stubbornly refused to interact with matter or with energy.

Interesting observation Antonio,maybe the "so called vacuum" is out of phase with
physical matter and energy?This would account for non-interaction!


regards michael.

[AntonioLao]

maybe the "so called vacuum" is out of phase with physical matter and energy?

Quantum vacuum has all the ingredients for making matter and energy but these are not evenly proportional. Once made even multiples, the results are either matter or energy.

[mkirkpatrick]

Quantum vacuum has all the ingredients for making matter and energy but these are not evenly proportional. Once made even multiples, the results are either matter or energy.

We are just really talking potential here are we not?Because is it not a universal law
that matter cannot be made or destroyed,so what possible ingredients could a quantum
vacuum contain,that would do in effect an impossible act?


regardsmichael.

[gautam]

To my mind, in case of absolute vacuum , the space time will collapse and vanish from this universe,creating a blackhole. The spacetime is thus vanishing on one side and is being created with the expansion of mass/energy. It is difficult to say at this stage whether overall universe is expanding or not as we cant find as how much of the space is vanishing. But effectively it is expanding. The black holes as commonly believed are not caused by the gravitational pull of nearly infinite dense mass, but because of massless space collapsing due to gravitational pull, spacetime being the property of mass energy as in the Mest Toe. Space cant exist on its own as its not an independent entity.
regards
Gautam

[AntonioLao]

the space time will collapse and vanish from this universe,creating a blackhole.

Need a lot of mass to do a blackhole not hot air. This is why not all the stars could become blackholes at the end of their lives. This is the Chandrasekhar limit. http://en.wikipedia.org/wiki/Chandrasekhar_limit and http://scienceworld.wolfram.com/phys...kharLimit.html