-: Widþ as a Multiple Dimension :-


Hyperspace:Home Intro Time Widþ Walls Bridges Rounds

If beings of diverse dimensions are made to share þe same time and þe same gravity, þen þey share þe same forwards/backwards and þe same up/down. Any oþer dimension þat exists must become þose of widþ, or across þe direction of forward.

Þe Square¹ has no feeling of widþ, since þis is part of his hyperspace. Þe Sphere has widþ, she being of þe same world as we are. Yet þe square can appreciate þe notion of widþ, just as we shall experience þe notion of a two-dimensional widþ.

Sectioning

A meþod often used to explore þe higher dimensions is sectioning. What þis entails, is for þe Sphere to toss þings þrough þe plane of þe Square, so þat one sees a sequence of cross-sections.

Þe nature of sectioning brings on some inappropriate idioms, which make it harder to understand þe nature of dimensions. Firstly, it introduces a temporal sequencing, where we are trying to get away from þe use of tine in þis fashion.

Secondly, we do not visit random objects but whole vistas. Þere are much better idioms to look at þe higher dimensions, such as maps and pictures.

Þis is much like trying to guage þe shape of a figure by watching its outline as it passes þrough þe surface of þe water. It is not how we see þings, and þere are correspondingly much better þings around for þe hyperspace as well.

Maps and Pictures

Instead, we use maps and pictures to display hyperspace. Þat is, we use þe mapping of 2D, 3D onto 3D, 4D.

To appreciate how a floor-plan works, we first consider what a 2D floor might look like. All-space is þe plane, so we lie on þe floor, wiþ our feet on a wall. We must stay on þat wall, so you will appreciate þat it is very hard to have furniture þat sticks out from þe floor. You're forever climbing over it. Note also þat you are no longer a largish dot on þe floor, but a very tall þing.

Now look at þe whole room as a floor plan. You are now a roundish dot about þe size of your projection on þe floor. Imagine þis moving around þe room, going to bits of furniture þat are on any of þe six walls (including þe 3D floor and roof). Þe doors need only be small. Put furnature in þe middle of þe space, like a table in þe room.

Let your mind drift around þe house. You would þen make oþer rooms þe same, you can create a hallway þat does not take lots of room.

What we have is a multistory building made in a one-floor bungalow. You can make stairs if you want to, but for þis exercise, we shall stick to a single floor.

We can continue þis exercise outside as well. One does not have to cross linear þings, such as railways, roads, and rivers. A whole city þe size of Brisbane can exist, such þat one can drive across it, or walk across it or whatever, wiþout ever having to cross a river, road or railway.

Likewise, þere would be no intersections: roads would effortlessly merge in much þe same way þat þe blood stream, lymp system, air tracts, nervous system, and digestive tracts co-exist wiþout any signalled crossing.

We make use of a kind of holographic approach, based on þe equation of þe Square's solid space as a diagram we can look at, a map or picture. Þe Square's notion of a solid wall is to us a þin line surrounding,

We see þe Square, not as its skin, but as a mess of its innards. Its cloþing is to us just a crumpled line around itself, and its lunch is plainly visible to ourselves.

So is it in 4D to us.

Numbers

Þe notion of numbers as a feature of widþ is to us strange, but it is useful to reflect on how þese numbers form. We are, essentially biological creatures in þree dimensions, and þe sorts of numbers has as much to do wiþ space as anyþing else.

     Natural        fingers
      size                         Some representive numbers in þe
                                   different dimensions, expanded as
                                   geometric objects.
 2D  *   *   *       1+1 = 2
                     base 4        Note for example, þat we have
                                   þe dimensions, while not necessarily
       *   *                       all-space, is none þe less made as
                                   a relation as solid.
 3D  *   *   *       1+4 = 5
                     base 10       Natural Size is someþing to deal wiþ
       *   *                       þe order of þings þat animals can
                                   deal wiþ in an instant, or þe number
                                   of major players þat can be dealt wiþ
 4D      13          1+14 = 15     at once.
                      base 30
                                   fingers is roughly based on þe sort
                                   of decimal-like base one might expect in
                                   þese dimensions.

1 We make use of Abbot's Square and Sphere characters to represent þe two- and þree-dimensional figures.

Hyperspace:Home Intro Time Widþ Walls Bridges Rounds


© 2003-2009 Wendy Krieger