Map Earth's Fourth Dimension

Map Earth's Fourth Dimension

A gravitational rainbow points to our planet's invisible topography.
by Bjorn Carey

From the August 2006 issue; published online August 14, 2006




Your weight is not the same everywhere. Because Earth is not a perfect sphere, the pull of gravity is stronger in some places than in others. It's also in a constant state of change, moving with Earth's mantle, falling sea levels, and even tropical storms. The Gravity Recovery and Climate Experiment mission, better known as GRACE, was launched in 2002 by NASA and the German Aerospace Center to measure exactly how what goes up must come down.

1 AMAZING GRACE
Before GRACE, scientists had only a vague idea of what Earth's gravity map might look like. But even the tiniest rises and dips in Earth's gravity push GRACE's two identical satellites together or pull them apart, generating a map so precise it can chart monthly changes in Earth's crust and seasonal ocean currents.

2 BIG BEER BELLY
Earth's rotation causes our planet to bulge at the equator. This extra girth around the middle partly explains why things weigh more at the poles.
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3 RAPID WEIGHT LOSS
Once the central bulge is accounted for, more subtle gravity differences appear. For example, what goes up falls a tad faster in London than it does in Athens.

4 ULTIMATE YO-YO DIET
Earth's mantle has mountain-valley systems resulting from old tectonic clashes, which make gravity's pull strongest in the southwestern Pacific and weakest just off the southern tip of India. So the fastest way to lose weight is a direct flight from Singapore to Sri Lanka.

5 BUILT LIKE AN AMAZON
Annual flooding increases (reddish areas) and decreases (bluish areas) the gravity of the Amazon basin. Because GRACE is sensitive enough to measure rainfall, it helps scientists understand how climate changes affect the rainy season.

6 THE BIGGEST LOSER
From 2002 to 2005, GRACE found that Antarctica's ice mass had decreased by 36 cubic miles a year, helping prove that global warming and melting polar ice play a role in rising sea levels.

SOURCE: http://discovermagazine.com/2006/aug/map4d

4-D CUBE

Magic Cube 4D

MagicCube4D is a fully functional four-dimensional analog of Rubik's cube plus dozens of beautiful new 4D puzzles besides just the hypercube. The image above shows the 34 puzzle in its solved state. Click on it for a simple resizable applet version that you can interact with to get a feeling for how it works. Then download the full-featured application below and try to solve it.

VISIT HERE: http://www.superliminal.com/cube/applet.html

PLUS ONE

http://quaddimension.blogspot.com/

VECTORIAL REPRESENTATION

Vectors

Mathematically four-dimensional space is simply a space with four spatial dimensions, that is a space that needs four parameters to specify a point in it. For example a general point might have position vector a, equal to

This can be written in terms of the four standard basis vectors (e₁, e₂, e₃, e₄), given by

so the general vector a is

Vectors add, subtract and scale as in three dimensions. The dot product also generalizes to four dimensions, like so:

It can be used to calculate the norm or length of a vector,

and calculate or define the angle between two vectors as

The cross product is not defined in four dimensions. Instead the exterior product is used for some applications, and is defined as follows

 

Source: wikipedia.org

SPECULATIONS ON 4D

Speculations on the 4th dimension

The universe that we live in has only three spatial dimensions. We are limited to length, width, and height, and we can only travel along three perpendicular paths. This page attempts to explain the properties of a hypothetical universe with a spatial fourth dimension. While people generally call time the 4th dimension in the universe we live in, time will be the 5th dimension in my hypothetical universe.

Many fascinating possibilities exist when a spatial fourth dimension is present. Several types of wheels are possible, very complex machines can be built, and many more shapes are possible. Objects can pass by each other more easily, but they are harder to break into multiple pieces. Energy reduces much faster with distance than in the 3rd dimension, so both light and sound are weaker. Much more things can be compacted into a small space, but its much easier to get lost. In this page, I will explore these and many other interesting properties of the fourth dimension

Source:http://teamikaria.com/hddb/classic/

BEYOND THIRD DIMENSION

EINSTEIN- MINKOWSKI SPACE-TIME

EINSTEIN- MINKOWSKI SPACE-TIME
4d CONE - A Relation Between Past and Future..
If you Understand this then you Can Make TIME- MACHINE !!!

SERIES OF DIMENSIONS

When There is one point it is 1-D,
 When it is Extended with 2 fingers simply, it forms 2-D,
When Plane (2-D) is extended lateraly it forms a cube(i.e. 3-D)
Similarly 4-D and 5-D can be made, but it is impossible for us to imagine because
"WE THINK OR INTERACT BY WHAT WE SEE "

4D CUBE