I've just picked up New Scientist (13th Oct 2007, pg36) and there is an article on the possibility of a 2nd time dimension. The intriguing part is that the findings are remarkably similar to the ideas of Heim theory.
Scientist Itzhak Bars tried to enforce gauge symmetry upon the Heisenberg uncertainty principle and found that it only worked if there was an extra space and time dimension, giving 6D (although this appears to be a lower limit)
Then it talks about the analogy of a 3D object casting a 2D shadow, and that this may be what is happening from 6D into our seemingly 4D world. He looks at the case of a particle moving in a straight line without any forces acting in a 6D world and the implications in 4D. He finds that:
"...the system has at least 2 more complex shadows in four dimensions. One corresponds to an electron orbiting in an atom; the other is a particle in an expanding universe."
Sounds very intriguing to me, how seemingly unrelated events in our 4D world can be linked in a 6D one. Again, this sounds like a similar way of interpreting the universe as Heim. Good exposure to the ideas even if it doesn't mention Heim!
Just be mindful mathematics and Physics are tied together as is Potential energy and Kinetic energy, Force and Motion, and while I mention Force and motion everything that exists or is possible MUST consist with a Force, Potential or Quanta or a relative reference if we are attempting to express a Physical expression mathematically and or theoretically..
In attempting to express changes in Physical attributes such as the likes for changes in Force, Potential by a quanta can be tricky if one is not aware of what each variable and or dimension represents, working with Energy is relatively easy where at most we are working with only two dimensions "potential" "Kinetic" the kinetic in this case implies change and with change to express change we need to refer to a time reference.
When we refer to an area - More than likely we are referring to a three dimensional expression, that's three variables and or dimensions, and with out change to this area time is uncalled for.... Lets be mindful we can express or equate a three dimensional area as a two variable dimensional area or even a single dimensional area where if the single dimension represents a closed system the dimension is not a Variable...
Now when and if changes occur within
a three dimensional area, we need to assign some of its Potential Energy as kinetic energy and or a time fraction, note the inference to "fraction" as in a division or portion of our closed system, of course if our system or area was open to change from beyond it we need to first work out all Energy input and energy outputs - Energy being a single variable dimension
is easier to work with, anyway lets keep it simple and have the changes as internal (closed system)..
Now if we have an area and its total Potential energy equated to a quanta and a change was observed then where the change occurred must have been an exchange from Potential energy to Kinetic energy, and kinetic energy implies "change", "velocity", "inertia", "momentum" and or "A Time reference or quanta" which if all dimensions are calculated they must equate to our unchanging single dimension..
OK before I move on to applying actual physical structure to Particles and or open systems via force and the forces respective momentum in its exertions via kinetic energy, may I be so bold and query if I have over looked anything thus far?
*** String Theories possible Dead End ***single variable dimension
= Open system.single unchanging dimension
= Closed system.
Yeah I know it seems this has nothing to do with Burkhard and Heims Particles structure, but if we consider M theory with respects to converting it to three dimensions and or variables, take note of the quanta's..
Dont jump the gun! Now consider the model in four dimensions...
Until then Cheers,
Peter J Schoen..