Quantization of acceleration is a discrete function. While divergence is a continuous function, convergence is a discrete function, occurring only at a certain level of divergence. Point divergence of a nucleus is continuous and contiguous. The quantization of bosons in the nucleus is discrete, convergent quantum. Over time, the differential of continuous divergence and discrete convergence grows until it reaches a quantum level, the quantum group and 'particle' emission occurs. The differential falls to a level below the quantization boundary. As time passes, the differential between continuous divergence and discrete convergence increases until it approaches a discrete convergence level. Quantization occurs, emission takes place, the differential between contiguous and discrete builds and cycles.

This view of point divergence serves as a model that generates reasons for the existence of mass. The existence of atomic nuclei represents points of various magnitudes of divergence. A large nucleus implies a large point divergent impulse, surrounded by many quanta of convergent acceleration. A small nucleus implies a small point divergent impulse, surrounded by discrete quanta of convergent acceleration.

Time is measurable as a function of emission cycle length, frequency. The reciprocal of time is created as a function of the differential between continuous and discrete acceleration. The frequency of particle emission and the half-life of isotopes, are measures of time. Quantization will adjust to best fit the point divergence, resulting in minimum particle emission when divergence decreases, and the eventual existence of stable nuclei.

On a solar scale, computing the divergence of earth orbit using DIV = c²f, where frequency 'f' is one divided by orbit time in seconds, yields,

DIV(orbit) = c²f = (2.9979e8)/(31557600) = 9.5 (m/sec²) = 31 (feet/sec²).

The orbit is congruent to earth, since surface convergence is about 9.8(m/sec²) = 32 (feet/sec²). Upper atmosphere convergence is about 9.5 (m/sec²), which appears to equal orbital divergence. Using the figure of 9.5 (m/sec²), computing f = c/DIV, where DIV=(4Ï€*9.5), implies a congruent orbit of 29 days, 1 hour, 34 minutes, 34 seconds, an estimate of a suitable lunar orbit time about earth.

The following chart depicts a comparison of two-dimensional divergent acceleration with two-dimensional convergent acceleration. The divergence is orbital acceleration, cf, while the convergence is surface gravity of a planet.

An example of planar acceleration causing linear acceleration occurs in nature and can be verified by observing signus x-1. Signus x-1 is a red giant star in co-orbit with a black hole. Plasma streams from the red giant toward the black hole. This forms a swirling disk of plasma around the black hole. The plasma swirls inward in the x-y plane until it enters the black hole event horizon. When this occurs, plasma streams outward in the upper and lower z-axis. In this example, planar convergent acceleration causes linear divergent acceleration.

A more intriguing implication is the affect of linear acceleration converging on a point in the normal plane. The relationship of linear with planer acceleration implies that if enough linear acceleration were present, divergence in the normal plane would open a portal to warp time. There is implication that c/4Ï€ (m/sec) may be a jump velocity out of local space-time.

Since divergence is, DIV = c²f

Then DIV = 4Ï€CON implies c²f = 4Ï€(R/t²)

Moving all constants to one side yields, C/4Ï€= (R/t)

This equation implies that convergent acceleration is discrete in local space-time, is constant and occurs when CON*t = C/4Ï€.

This implies the existence of an upper bound of velocity equal to C/4Ï€(m/sec) at which quantization occurs. This may be the velocity boundary of our local space-time. Exceeding this velocity may cause the traveler to be quantized into a warp in time.

The Alpha α and the Omega Ω conditions of Acceleration

Acceleration in N dimensional space = An where A^-1n is the inverse direction of An

The Alpha condition:

α=(An/A^-1n)=-1 =(CONn/DIVn)=(DIVn/CONn)=α
α = The ratio of opposite directional acceleration in the same dimensions n

The Alpha heterogeneous condition is the ratio of opposite directional acceleration in the same number dimensions.

A point in space, where the alpha condition ratio is close to a numerical value of minus one, belongs to a set of common points in all dimensions. These are midpoints for all spatial dimensions. Earth is one of these points, an alpha point in 2 dimensions. The alpha condition may be critical to the evolution of life, certainly to Earth. Examining the planets in our solar system by comparing orbital divergence to planetary gravity gives the alpha for each planet. The alpha condition for the outer planets has a numerical value less than one. This implies low subatomic activity with an abundance of lighter elements. The inner planets alpha condition is numerically more than one, which implies an abundance of heavier elements and high subatomic activity. An alpha condition numerical value of minus one promotes nominal distribution of elements with an environment suitable for water to exist in three states, gas, liquid, and solid.

The Omega condition:

Ω=(An/A^-1n-1)=4π=(CONn/DIVn-1)=(DIVn/CONn-1)=Ω
Ω = The ratio of opposite directional acceleration between adjacent dimensions (n,n-1)

The Omega homogeneous condition is the ratio of opposite directional acceleration in adjacent dimensions.

The omega condition promotes the quantum effect, light, gravity, electromagnetism, weak and strong forces, and the creation of mass. The omega condition is the reason for galactic structure. The 3 dimensional "black hole" at the galactic center generates a 2 dimensional divergent plane. The stars are points in this plane. The stars are 3 dimensional divergent points, which generate a 2 dimensional convergent plane. The planets are convergent points in this plane.

Summary

Each domain of the space-time series is expansion. Euclidean mathematics has developed from the distance domain of three-dimensional time. Distance exists in three dimensions of time and in six directions from an observation point. An XYZ coordinate system works in the distance domain because time exists along each axis. It is from a Cartesian coordinate system that mankind analyzes the geometry of observed space. The view from the distance domain into other domains of this expansion series is restricted such that no time objects in the distance domain can be larger than three dimensions. Larger dimensional time objects from the velocity, acceleration, impulse and flux domains exist in the distance domain as pairs of time objects. It is these larger time objects that dictate the structure of space-time and the laws of physics, as we perceive them. From the distance domain, the view of the velocity domain, V(t⁴/₂₄), is four-dimensional. These four dimensional time objects are observed as two simultaneous planes of existence. This is the same property of light as it travels through space. From the distance domain, the view of the acceleration domain, A(t⁵/₁₂₀), is five dimensional. These five dimensional time objects are observed as a pair. The objects are complimentary as one is convergent and the other is divergent. One object of the pair is three-dimensional while the other object is two-dimensional. Convergent objects will merge into one large convergent object while the divergent objects will separate and exist as singularities. This is the same property of the galactic structure, with a large three-dimensional convergence at the center coexisting with a divergent plane. Within the divergent plane are point singularities of divergence, stars, which coexist with a convergent plane. Within this convergent plane are point singularities of convergence, mass, which will merge and form planets. It appears that the acceleration domain is responsible for the structure of galaxies and symmetry in space. From the distance domain, the view of the impulse domain, I(t⁶/₇₂₀), is six dimensional. These six dimensional time objects are observed as a pair. The objects are complimentary as one is convergent and the other is divergent. Both objects are three-dimensional and the convergent objects will merge while the divergent objects will remain as singularities. It appears that the impulse domain is responsible for sustaining divergent acceleration in stars and sustaining convergent acceleration in the black hole at a galactic center. From the distance domain, the view of the flux domain, F(t⁷/₅₀₄₀), is seven dimensional. These seven dimensional time objects are observed as sustaining the acceleration at galactic centers and stars. These time objects also create velocity, (4_dim) and distance, (3_dim), acceleration, (5_dim) and surface area, (2_dim). Other possibilities are two volumes of impulse, (6_dim) that may annihilate each other as gamma ray bursts and super nova reactions. Finally the flux domain, (7_dim) may sustain expansion, surface area, distance, velocity, acceleration, and impulse. All domains are affected and possibly sustained by the flux domain.

The view from the distance domain into other domains denotes the symmetry noted in many areas of science. This space-time Taylor series interpretation implies, distance exists in three dimensions only because time is three-dimensional and multiple dimensions of time are responsible for structure and symmetry of space.

Ocam's Razor
"All things being equal,
the simplest solution seems
to be the correct one"