Mankind"s Domain in Space Time

Mankind"s observations of his local environment lead to the conception of Euclidean geometry and mathematics to describe space. Since distance is to be described in three dimensions, a Cartesian coordinate system, commonly labeled as X, Y and Z, is applied from a single observation point. Distance from a reference point to an observation point using Euclidean geometry.

It must be noted that the normal act of measuring may require velocity to move from the reference point to the observation point, counting the units of distance. This seems quite normal since distance moved is a function of velocity multiplied by time.

The measure of distance in Euclidean three-dimensional space is then directly related to the existence of time. Since measured distance is a function of time, along the three axis of X, Y and Z, measured distance exists only when time also exists on each axis. Within this domain, time must be three dimensional to generate the three dimensional Euclidean space. Mankind"s geometric view of his domain is therefore Euclidean in nature.

The Distance Domain of the Space-time Taylor Series

The distance domain in the series, defined by D(t³/₆), creates a perception that is Euclidean in nature. This view of space-time is fine for mathematical analysis based on distance in XYZ from an observation point. Since distance is a function of time and measured distance would not exist unless time existed on each axis XYZ, time must therefore be three dimensional, one dimension of time for each axis in the distance domain. It is from three dimensions of time that other domains of the series are observed.

Time objects are objects that are observed in the distance domain. Time objects can have a maximum of three dimensions in the distance domain. Higher time dimensional objects are observed as pairs of time objects.

From the distance domain a five dimensional time object will be viewed simultaneously as a three dimensional spherical object and a two-dimensional plane object. A six dimensional time object will be viewed simultaneously as a pair of spherical three dimensional time objects.

The Velocity Domain of the Space-time Taylor Series

The velocity domain in the series, defined by V(t⁴/₂₄), is viewed in the distance domain as a pair of time objects. These time objects exhibit certain observed properties in the distance domain.

Four dimensional time objects from the velocity domain appear as a three-dimensional time object paired with a one dimensional time object. This view generates properties of particle behavior.

Four dimensional time objects from this domain also appear as a pair of two dimensional time objects. One object existing in an XY plane while the other exists in an XZ plane. This view generates the properties of electromagnetic wave behavior.

Both views are of a four-dimensional time object in a three-dimensional time domain. Physicists in the distance domain, observe and label the time objects generated by the velocity domain, as light.

The Acceleration Domain of the Space-time Taylor Series

The acceleration domain in the series, defined by A(t⁵/₁₂₀), is viewed in the distance domain as a pair of time objects. These time objects exhibit certain observed properties in the distance domain.

Five dimensional time objects from the acceleration domain appear as a three-dimensional time object paired with a two-dimensional time object. This view generates properties of both structure and behavior.

The existence of three-dimensional acceleration in the distance domain generates a two dimensional plane of acceleration. The direction of acceleration will be convergent or divergent with respect to a point in the distance domain.

Time objects from the acceleration domain are a complimentary pair. If the three-dimensional acceleration time object is convergent, it generates a divergent two-dimensional plane. A three-dimensional divergent acceleration time object generates a two dimensional convergent plane of acceleration.

A noted property of three-dimensional convergent acceleration is that they will merge to one large time object. The merging of these convergent time objects in the distance domain is labeled by astrophysicists as a black hole. This three-dimensional convergent time object creates a two dimensional divergent plane.

Within this divergent plane, three-dimensional divergent acceleration time objects will gather and disperse, maintaining singularity. The singularity of these divergent time objects in the distance domain is labeled by astrophysicists as stars.

The three dimensional divergent time objects generate a two dimensional convergent plane. Within this convergent acceleration plane, three-dimensional convergent time objects will gather and merge into singularities. The singularity of these convergent time objects in the distance domain is labeled by astrophysicists as planets.

Another property of three-dimensional point acceleration is noted when the spherical volume is dissected with an XY plane. If the point acceleration is divergent, then along the Z axis there will be linear convergence. Examining this closer, it is noted that no mater what the orientation of the dissecting plane, linear convergence occurs on the normal to this plane. Thus the generated linear convergence will form a spherical surface about the point divergence. Physicists in the distance domain, label this result as the quantum effect.

In the distance domain, the properties of the acceleration domain generate the quantum effect and structural symmetry in space-time.

The Impulse Domain of the Space-time Taylor Series

The impulse domain in the series, defined by I(t⁶/₇₂₀), is viewed in the distance domain as a pair of time objects. These time objects exhibit certain observed properties in the distance domain.

Six dimensional time objects from the impulse domain appear as a pair of complimentary three dimensional time objects. Both time objects will appear spherical, one divergent and the other convergent.

The convergent impulse time objects tend to merge into one large object. Convergent impulse maintains the existence of convergent acceleration. Physicists in the distance domain, observe this as the sustained existence of a black hole.

The divergent impulse time objects will disperse and remain singularities. The divergent impulse time objects sustain the existence of divergent acceleration. Physicists in the distance domain, observe this as the sustained existence of a star.

Since the three dimensional complimentary impulse pair in the distance domain are actually one object in the six dimensional impulse domain, any action taken on one of the time objects results in the inverse action on the other. Physicists in the distance domain, label this observation as the Bell connectiveness theorem.

Since the pair of time objects is connected in the impulse domain, any collapse of one time object in the distance domain will result in the collapse of the other time object. Physicists in the distance domain, observe this reaction when a star goes nova.

The impulse domain sustains the existence of three-dimensional acceleration. The quantum effect, generated by the acceleration domain, will form atomic nuclei about point divergent impulse. The larger point impulse will be represented by larger nuclei. Nuclear particle emission is a result of large point impulse and quantization of acceleration.

In the distance domain, the properties of the impulse domain sustain the existence of mass, stars, and black holes.

The Flux Domain of the Space-time Taylor Series

The flux domain in the series, defined by F(t⁷/₅₀₄₀), is viewed in the distance domain as a triplet of time objects. These time objects exhibit certain observed properties in the distance domain.

When seven dimensional time objects from the flux domain appear as a pair of complimentary three dimensional flux time objects and a one-dimensional flux time object. Two time objects will appear spherical, one divergent and the other convergent. The one-dimensional flux connects the two spherical flux time objects only for an instance. Physicists in the distance domain observe this reaction and label this as a gamma ray burst.

When seven dimensional time objects from the flux domain appear as a pair of two-dimensional objects and single three-dimensional object. Physicists in the distance domain observe this reaction and label this a pulsar emitting high-energy quanta.

The other potential triplets of the flux domain (2,3,2) affect the acceleration and surface area domains. Since flux is a seven dimensional time object, it affects the existence of light, mass, space and all things observed in nature in the distance domain.

In the distance domain, the properties of the flux domain create gamma ray burst, sustaining and changing the properties of all other domains in the space-time Taylor series. Because of the properties of the flux domain, the existence of light, mass, stars and black holes, galaxies, and the whole universe will eventually be finite.