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A Users Guide to the Dimensions

This is a brief look at the six separable, measurable, tangible aspects of our universe. (Magnetism has been left out due to it’s measurability in energetic terms). Remember that this is an individual perspective, however shared; and for this reason – THINK FOR YOURSELF !!

That said, I’d like to make another point:

 

Ah…that’ll do !!

A point is a very important nothing. A location found in any dimension, even several at once, but without any value. It is an infinitely tiny thing – a frame of reference for anything and everything – even other nothings. There are only three states in which dimensions can be in: Nothing, Something and Everything.

 

A nothing is really nothing – no length, width or anything. An infinite amount of nothings still don’t become a something. Now a something – that’s a something ! It can be added, subtracted, divided and multiplied into all sorts of things – except an everything – what you see around you are all somethings in varying amounts of each of the dimensions. “Somethings” come in any measurable size.

 

An everything is just that – all that can be of a given kind – not simply all there is. In this way it is infinite, as it is impossible to achieve a true “everything”. There is always more. We call these everythings to which a something of any size may always fit “dimensions”.

In this theory, we will examine a total of six dimensions: natural, measurable entities to which there is no apparent limit in this universe. Other views have suggested even more dimensions, but these are the only ones that seem to reveal themselves clearly in our day-to-day lives. For this reason, they are the only ones we can readily conceptualize. I believe the six dimensions are: length, width, height, time, mass and energy. Further, I believe that they are all as interchangeable as mass is with energy, as is seen in Einstein's’ Theory.

  A line is like a string of points. As a nothing, it is only a point. As a something, it is called a line segment. As an everything, it is considered the first dimension. Picture it as a string of dry spaghetti. If you looked at it from the end – or from a 90 degree angle from its’ side – it becomes a point again, or just another nothing from another perspective.

The second dimension is built of an infinite number of stacked up lines in a direction perpendicular (at a 90 degree angle) to the lines. This forms a plane – a sheet – with both length and width, which may be extended in either of these two directions. Picture it as a layer of lasagna. Look at this plane from the edge, and it becomes a line – just like that strand of spaghetti from the side. You can’t seem to hold it in a way that makes it appear as a point though, like you could with your “line” of spaghetti.

An infinite number of planes, placed together like pages in a book, become a space, or three dimensional. Again, this dimension is formed at a right angle to each of the other dimensions. Picture several layers of lasagne in the pan. But now we must take a little leap…

In each case, to form a higher dimension required a projection at a right angle from the original dimension(s). Relative to any given dimension, all others exist at a right angle. This means that the stacking of one dimension creates the next. If we look at that first point again, we would see that the line that formed from it, went perfectly away from it: Because it was as a nothing, to extend away from it in any direction would always be at a right angle. Like sticking together a string of tiny pasta-bits would form spaghetti.

Then, we had a line of spaghetti. We placed each strand side by side – in parallel - ultimately forming a sheet of lasagna – which we typically place side-by-side with others forming an even bigger sheet that continues to the edges of the pan. This begins the formation of the second dimension, an endless sheet of length and width. To be parallel, two lines must be an equal distance apart at corresponding points along each line. These corresponding points will always form new perpendicular lines that are at a perfect right angle to the first two lines.

With the pan now full, side-to-side, with parallel lines forming a plane, we go on to fill the pan by creating depth, or the third dimension. Again, we move at a right angle to the first two dimensions, with each sheet of lasagna  parallel to the last. But how do we take two trays of lasagna and make them parallel? It is here that I will point out that the corresponding points necessary to create parallelity in each case were also the closest points. Maybe you should think about this for a few minutes. Go ahead, I’ll wait…

This makes things more difficult, doesn’t it. After all, you can’t just stack two trays up and call that parallel…the corresponding tops of each tray might be parallel, but the bottom of the uppermost tray is even closer to the top of the lower tray: the corresponding points are supposed to be the closest points. No matter how you arrange these two trays of lasagna it just doesn’t seem to work. You just can’t do it and obey the rules…unless…

Try picking up the first tray, then replacing it with the other lasagna three seconds later. Now all of the corresponding points are exactly three seconds apart – parallel – and this new dimension is perpendicular to all of the first three. Time, it appears, is the fourth dimension.

It’s as if three dimensional spaces are overlapped upon themselves – compounded – in a continuum measured not in inches or metres, but in seconds. When cooking lasagna, the recipe invariably calls for one to place the tray in the oven for a period of time.

To go to the next dimension, imagine now, instead of compounding space, we try compounding time. Remember that an infinite number of one dimension will fit into the next.

So what we’re looking for is able to go ad infinitum without the confines of time. It cannot be measured in terms of distance, as if at a right angle to those, as well. This lengthless, timeless but measurable dimension is mass.

Mass produces gravity. The more dimensionally pure the mass is, by being colder or without atomic spaces, the smaller it becomes. As mass is purified in these ways , it becomes more enduring – that’s why we have freezers. Picture those two trays of lasagna again: both may be of the exact same size, but need not weigh the same – when cooking a turkey in the oven, the weight is used to determine the approximate cooking time.  But now, we are stuck with coming up with yet another dimension… This next one is in need of some pretty interesting properties.

 

Energy can take a mass and move it through space and time, causing space to fill and empty and time to pass, while enabling these changes to transpose themselves to other objects. In fact, without such dispersion, that first mass would continue to pass through space and time forever. This is highlighted by thermal expansion, where the warmer something gets, the greater its’ volume gets; and with chemistry, where the warmer something gets, the more apt it is to react chemically. When cooking our lasagna, we are causing chemical reactions; thus, a primary component of our recipe is the cooking temperature.

Our lasagna recipe complete, we’ll see whether it works…

  • Create a bunch of dots of pasta.

  • Line them up into even strands.

  • Place the strands side by side and even out into a plane.

  • Lay plane upon plane in the tray.

  • Bake for 20 minutes…

  • …per pound…

  • at 425 degrees.

  • Invite John to dinner.

Energy forces space to expand, where mass seems to cause space to collapse, through gravity. Neither energy nor gravity can occur without time, leading to wonder if the last three dimensions are special in some way. Are they simply various forms of overlaps of the first three? Indeed, it was quite easy to illustrate a line, plane or space; but when faced with the next three, one needs that little bit extra.

Here are a few common formulas to test our theory; I’ll replace the six dimensions referred to with Length (L); Width (W); Height (H); Time (T); Mass (M); and Energy (E) to the right of the common formulae:

Density = mass/volume = M / L x W x H

Pressure under a liquid = Depth Below Surface of Liquid x Density of Liquid = H x (M / L x W x H )

Average Speed of Motion = Distance Covered/Elapsed Time = D/T

Acceleration = Change of Speed/Time = (D/T)/T = D/T squared

As you can see with these (limited) examples, the fundamentals of the physics formulae we use in our sciences can be traced back to the dimensions, though often we must break them down to see this. Einstein's theory shows an interchangeability between Energy and Mass, suggesting they may be as one single dimension, but a pure form of either seems unreachable, making this distinction necessary (it seems impossible to find a pure form of any dimension). Much scientific ado surrounds the question as to whether light is a wave or a particle or both, for example; or it could be asked “will we ever reach absolute zero?”.

 These six dimensions seem reflected in our very senses, thus have found themselves accounted for in all languages. They are then the very basis for all tangible human experience, making them suited for use in metaphors: These six dimensions form part of the "alphabet" of the "Language of Metaphors".

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Copyright (C) 1997-2003 John D. Casnig. Use with permission and caution only.

 

 

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This website is dedicated to the proposal that the metaphorical relationships drawn between any two disciplines are, in fact, universal, being isomorphic mathematical derivations of the Unified Field Theory. Further, that this symmetric aspect of metaphor is extrapolatable both linearly and laterally, thus may be harnessed to mathematically predict missing knowledge and invention in all other disciplines: an interdisciplinary Rosetta stone of universal scope.

"The metaphor reminds us that the universe is full of cousins." - J.D. Casnig

Copyright John D. Casnig. Permitted use only. Work should be cited as:

Casnig, John D. 1997-2009. A Language of Metaphors. Kingston, Ontario, Canada: Knowgramming.com

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