In previous sections, we have discussed principles of a universal unit system. Now, we will directly present unit definitions of Geometric Generalization’s system. First, let us discuss the definitions of base units.

In this paper’s unit system, distance unit is the basic unit that derives other units. The standard for unit distance is the wavelength of the energy, which is equal to the rest mass of electron (Compton wavelength of electron 2.42631x10^-12 meter). Geometric Generalization names its standard distance unit as erk (er is pronounced as in eric), and suggests to measure spatial distances and lengths as multiples of erk.

Time unit emerges as a function of the distance unit, regarding the constancy of speed of light. The standard unit time (each tick of the clock) is the period in which light travels the standard distance unit, erk. In other words, standard unit time is the period in which a full circulation is completed in the confinement volume of electron. Note that this definition of time unit fixes the constant of speed of light to one (1).

Energy unit also emerges as a (inverse) function of the distance unit, regarding the dependency of the energy (of an elementary “particle”) to the tightness of the (wave) length. The standard energy unit has a wavelength equal to one (1) erk. Geometric Generalization accepts that intrinsic energy (rest mass) of electron equals to one energy unit, and as a result, Planck’s constant is eliminated by setting it to one (1). Practically, energy content of any kind of system is measured as multiples of intrinsic energy (rest mass) of electron.

In previous chapters, we discussed that mass is a kind of energy, where the expansion is confined into local volumes. Actually, above definitions of distance and time units equalize mass to energy by fixing the speed of light constant to one (1). Hence, this paper accepts the mass unit as the rest mass of an electron. Practically, mass content of matter is measured as multiples of electron rest mass. Note that although units of energy and mass are equivalent, mass indicates a confinement of energy; therefore, it can be classified separately.

This paper accepts the standard charge unit as charge of a single elementary “particle” such as electron or proton. In the previous chapters, we discussed the formation of electromagnetic interaction in detail. Regarding previous discussions, electric charge of a single charge (such as electron) is the square root of the fine structure constant, which is a unitless ratio indicating the ratio of the universal strain on the expansion. Practically, electric charge of a body is defined by multiplying the amount of charged “particles” (such as electrons) with the square root of the fine structure constant.

Table of base units is below:

Electric charge differs from other base units in our unit system, since it is not a function of distance, but it is a consequence of the current state of balance in the universe. Other possible units that are not dependent on the basic unit of spatial distance (erk), but dependent on such parameter of universal balance should be accepted as base units. All other units that can be expressed as a function of distance unit (erk) (or amount of “particles”, charges, energies, average energies) are derived units.

Please note that in its widest sense, Compton wavelength of electron also implies a state of balance in the universe (ratio of the strain in electron’s confinement volume to the radius of curvature of the universe).

According to the above units, the numerical value of the gravitational constant is automatically converted to 2.787 x 10^-46erk². In fact, this value characterizes the ratio of the strength of gravitational effects, just like the fine structure constant of electromagnetic interaction. 2.787 x 10^-46 is the ratio of two energies: (a) gravitational potential between two electrons at a distance L (electronmass² G / L), and (b) the energy of a single photon with a wavelength of L (E_b=h c / L).

In fact, the degree proper gravitational constant (2.787 x 10^-46) indicates the ratio of the strain in the electron’s confinement volume to the radius of curvature of the universe (size of the electron to the size of the universe).

Please note that gravity is a consequence of heaping of matter, and practically, it is incorrect to mention a gravitational interaction between two free electrons.

Geometric Generalization’s Universal Unit System partially nondimensionalizes fundamental physical equations, and reduces their units to the functions of basic distance unit (erk). For example, speed of a body is determined relatively to the constant speed of light, and it is a dimensionless ratio (β=v/c) that is less than one (1), since the constant speed of light is fixed to one (1).

A few of the fundamental equation units in the terms of distance unit (erk) are below:

Interestingly, various base units and fundamental equations have the same units in terms of distance unit (erk). This situation may cause practical confusions. Thus, these concepts may be identified independently. However, it is important to realize the relation between these concepts, in accordance with Geometric Generalization’s integral point of view. In fact, in daily human life, numeric values of various equivalent concepts hugely differ. As a result, these huge differences in numeric values of these concepts also indicate their practical meanings.

Base units of Geometric Generalization’s Universal Unit System have very small units relative to actions in human daily life. Therefore, this unit system should be used with either prefixes or suffixes. Similarly, basic unit of information in digital computers (bit) is used with prefixes (e.g. kilo, mega, giga, tera, etc.); actually, similar prefixes are also used with SI units.

Let us suggest prefix and suffix examples for 1234567erk:

Practically, usage of prefix or suffix also helps to distinguish physical concepts that have the same units.

Additionally, a special suffix can also be used for the unit of time, which fits the mean solar day.

Finally, please note that the decimal numeral system may not be the best choice for the numeral system. Choices of numeral system (such as base 8, base 10, base 12, or higher alternatives) should be very well examined by professionals of various disciplines (such as physicists, mathematicians, engineers, psychologists, pedagogues, etc). The basic parameters to consider for this choice are e.g. practicality of calculation, facilitation of learning, and easy integration into IT systems. Additionally, a numeral system should make it easy to comprehend the three dimensions of physical reality.