In the not so distant past, concepts for the explanation of the structure of mankind’s environment were derived from observation. During the 1400’s, mankind thought the world was flat and watching a ship sail away from an observer on shore altered this view. It was noted that a tall mask slowly sank into the sea as the distance from the shore increased. From this point of view, the realization that the world is round was deduced.

Euclid developed a geometry that served to explain and solve problems of engineering that previously had no solution. For many years, Euclidean geometry has served man well by producing many structural marvels of engineering in bridge design, architectural buildings, and new inventions. This geometry works well in our local environment yet does not offer solutions to some things observed in space-time. To achieve an understanding of unexplainable things observed in nature, a change in view point must be initiated.

The belief that the earth was the center of the known universe was sustained for years until Copernicus proposed his new point of view. In his presentation, Copernicus used Euclid’s geometry to show that the earth revolved around the sun.

Almost everyone knows of Albert Einstein and his now famous theory of relativity. Acceptance of this theory has lead to many breakthroughs in understanding space-time. What is not commonly known is that there is rumor that his revelations of relativity may have come from his first wife, an accomplished physicist in her own right. Both conspired to publish many papers on areas of physics dealing with previously unexplained phenomena. Eventual acceptance of his new perspectives brought about new ideas and viewpoints that have given us many new inventions. This technical revolution has evolved mankind into the information era. All these changes stem from Einstein’s ability to change and modify his point of view until he could derive practical solutions to extremely complex puzzles of nature. From the ability to question and change a common point of view, Einstein changed mankind’s understanding of his environment. There are still many areas of science that contain apparent complex puzzles. It is time for a change to a new point of view. Any new perspective must maintain the laws of physics and observed properties of space-time that are currently understood while shedding new light on properties not currently understood.

What follows is a radically new view of the relationships between man and his environment. This new view begins by observing a Euclidean geometric point in space, deriving an ordered matrix of all possible properties of this point, extending these properties to the set of all points, blending the properties with a series of time, and noting the resulting observations.

Euclidean geometry is built upon a Cartesian coordinate system of three axis that are commonly labeled by the letters X, Y and Z. The comparison of directional distance along an axis with directional distance along the other axis generates this type of geometry. Directional distance can also be viewed as a function of time and velocity. Changing the view of space in terms of distance to viewing space in terms of time yields solutions to age old puzzles. It may seem quite strange to replace structural distance in geometry with structural time. At first the mind may rebel from this viewpoint, but with patient contemplation, a new understanding of space-time may be realized.

The following is a brief presentation of a radical new view of space-time. It begins with the derivation of a mathematical function called a Taylor series. The conclusions drawn from the interpretations of each element of this series are based on a viewpoint from only one domain of the series. Accepting this new view will lead to a much deeper understanding and clarity of what were previously unexplainable phenomena. This presentation is not an in depth study and is not meant to be complete. The purpose of this document is to present an alternative point of view, introduce the mathematics and function of EXPANSION, and provide a general geometric and mathematical model of local space-time.