Erkiletian’s First Law: The validity of the laws of science must conform to a reference point placed at any location. An occurrence observed relative to a reference point may be considered absolute (only) in relationship to the reference point.

[Connotation: This theorem is simply a statement of the essential concept of Special Relatively. It basically states that “coincidental motion” is different for different reference points. For example, the sun’s motion relative to a point on the earth’s surface is different than the sun’s motion relative to a point on the surface of another planet. The law says that a particular motion is absolute only when taken with respect to a designated reference point.]

Erkiletian’s Second Law: The limit of a variable defined by the square root of a negative number is valid only within a linear frame of reference (First Condition of Linearity).

[Reference: the Pythagorean Theorem is a “linear equation” (with exponents) and is a good example of this law. The lengths of the sides of a right triangle are limited to the length of the hypotenuse by the square root of a negative number. However, this is only valid if the triangle is drawn on a flat (linear) surface. In essence, in order for a linear equation to work properly, the frame of reference must also be linear. The limit of “velocity” to the velocity of light, defined by the Lorentz Transformation, is also an example of this law.]

Erkiletian’s Third Law: The space continuum is not linear.

[Connotation: linear definition is a (straight) line, a flat surface or a three (or four) dimensional coordinate system, all of which are defined by straight line axes that extend to infinity. This law states that there is no condition in the Universe that follows this linear definition. Everything is variable relative to something (even standard units).]

Erkiletian’s Fourth Law: Standard units remain constant in a linear coordinate system (Second Condition of Linearity).

[Reference: this depicts the characteristics of a linear graph as opposed to an exponential graph. A linear graph is defined with units that do not vary (standard increments) and thus remain constant throughout the frame of reference. In a nonlinear graph however, units vary (as nonstandard increments) in a mathematically defined manner relative to distance from an origin (as in a logarithm or exponential graph). The nonlinear (exponential) graph is the correct depiction of the cosmos. The linear graph is incorrect. Although the cosmos may approach linearity within very precise error, actual linearity is unattainable (see Fifth Law). For example, (excluding hills, mountains and valleys) the surface of the earth is so close to flat that we can’t tell it’s curved. In essence, the earth’s surface is not really flat but is an “approached” state of linearity relative to you and me. This is because we are very small relative to the curvature and in close proximity to it. The Universe works the same way. Our solar system is very small relative to the curvature of the Universe and therefore appears to exist as a state of linearity. Linear equations (the fundamental motion laws for example) work in our solar system not because the solar system is linear, but because the solar system is so close to linear that its curvature is undetectable to us. However, as we look farther out into the cosmos we can see the skew of the space continuum that is variable relative to distance. This skew is seen as the increasing elongation of light wavelength relative to distance and is known as the “red shift.” At this time however, the red shift is erroneously believed to be caused by the Doppler Shift (that in turn is caused by a so-called recession velocity) and thus incorrectly indicates that the Universe is expanding. Erkiletian's Fourth Law however suggests that the Universe is not expanding but is actually nonlinear (or skewed) creating only an appearance of the Doppler Shift.]

Erkiletian’s Fifth Law: The nonlinear system does not transform to a linear state. The result of such transformation is a nonterminating decimal.

[Connotation: linear variance doesn’t exist, as defined by “base dependent exponential mathematics.” That is, the true mathematical definition of linearity is a nonterminating decimal. We my approach linearity, but true linearity cannot be attained, because a nonterminating decimal has no finite mathematical definition. In essence, there is no such thing as linear variance. Nonlinearity is a conservation law of physics.]

Erkiletian’s Sixth Law: The spectrum shift (red shift) of light emitted from celestial bodies is the result of the slope of the curvature (skew) of the space continuum defined as the differential of the base dependent exponential equation with respect to an approached linear state at our proximity.

[Reference: See Thesis at http://www.nonlinearcontention.com - Base Dependent Exponential Mathematics (the mathematics of the nonlinear field) is defined and derived in Chapters 7 thru Chapter 10.]