What Is Symmetrical Space-Time Dimensionality?

This Text Was Written In Mid March, 2006. Part # 2 Is Located At: http://www.johnkharms.com/dimensions-2.htm And Was Written A Year Later.

What Is Perfect Symmetrical Space-Time Dimensionality?

Does Oscillatory Motion (Simple Harmonic Motion) Lie In The Sixth Dimension?

Can Motion Be Unified With Time?

By: John K. Harms

Email: harmsjk3@earthlink.net

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Introduction

This text explores the possibility that space-time is absolutely symmetric. This is to say that there are both three dimensions of space as well as three dimensions of time. But, quite simply, how can this be so? While three spatial dimensions can be absolutely commonplace, three time dimensions of time is presently not. Well, why not? Why can't there be three dimensions of time to accompany the three dimensions of space? Let us now examine this question in somewhat greater detail.

Can There Be Three Time Dimensions?

Most everyone these days (at least in the Western World) recognizes the three dimensions of space:

The First Spatial Dimension --- A Line

The Second Spatial Dimension --- A Plane

The Third Spatial Dimension --- A Box

But, what about time?; why can't there be three dimensions to time as well? Indeed, if there were these three dimensions of time, what, might one ask, might be the characteristics of these three time dimensions? Here, in this section, the author will propose the following picture for one possible tri-symmetrical time scenario. It goes as follows:

The First Time Dimension --- Forward-In-Time

The Second Time Dimension --- Backward-In-Time

The Third Time Dimension --- Oscillatory (Or Simple Harmonic) Motion Both Forward And Backward-In-Time

So, in this view, there can be three dimensions of space followed by three dimensions of time.

Thusly, the third time dimension may actually become a theory of motion; that is, of oscillatory motion. But how? Oscillatory (or simple harmonic) motion may simply be motion backward and forward (perhaps) in two time directions. Hence, in oscillatory motion, it is not so much that motion flows back and forth, but that time oscillates in this same fashion! So yes, forward-in-time can take place in one direction, and then backward-in-time in the other. But, in turn, if the oscillatory motion is seen to be essentially circular (as in a pendulum, for example), the motion can go first forward then backward in time in a circular fashion to and fro.

Therefore, if one examines closely the hands of a clock, one can note this type of motion happening --- it is in essence circular motion. Hence, what we call "clockwise" and "counter-clockwise" might simply correspond to forward and backward-in-time or the first and second time dimensions as described above. Therefore, these unique laws of non-Newtonian motion (which fundamentally are non-linear) might be described simply as dimensions of time!

So, whilst a pendulum may actually be circular motion, this kind of motion can become interrupted by passing both to and fro into the sixth physical dimension and, therefore, appears to us to be oscillatory. In the case of other types of linear oscillators, it is really the same motion taking place in this case, but the motion is linear instead of being circular. Thusly, if Newtonian laws of motion do describe motion in a straight line (which they indeed seem to), both circular and oscillatory motion perhaps may be described utilizing symmetrical time and dimensionality! This forms the essence of the author's proposal.

This description is a very different one then that given to us by Isaac Newton. While the author agrees that it takes forces to bring about a circular motion, Newton's three laws offer us only a limited description of circular motion (F = ma) and conversely no mention at all of oscillatory motion.

Conclusion

In conclusion, this text offers us a new picture of space and time, where a perfect symmetry is the rule of the day. The third dimension of time actually enters us (surprisingly) into the realm of motion. Therefore, a kind of Unification of time with motion can be seen to take place in the sixth dimension where oscillatory motion may actually be an oscillation of time rather than of motion per say.

So, in the end, the author finds this unique picture of dimensionality very aesthetically pleasing, which was the primary motivator for the publication of these ideas on this site on the Internet. The author hopes you will concur on this point.

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Reader's Note: Proper References And/Or Acknowledgments To This Text Are Appreciated.