Scientific units

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Introduction

Scientists now require that the base units of measure be directly related to known constants of the physical universe, see Mars Metrology. The selection of the base units described in this subject encompass known characteristics of the physical universe and have near unlimited precision. A mathematical process exists that will allow the Universal length to precisely define the Universal time unit and the reference value for Universal light speed with near unlimited precision.

Geometric electromagnetic metrology

Geometric electromagnetic metrology is the science of defining units of measure using geometric electromagnetic relationships. Each value of a geometric form has a defined mathematical relationship to other elements of a particular geometric form.

File:150px-Triangle-Right.png

One of the simplest geometric forms is that of a right triangle and that with an angle of 45 degrees is its simplest case. This geometric form will be used to create the mathematical relationships that define the scientific base units.

When the elements of a right triangle are defined using electromagnetic wavelengths, the mathematical relationships will be both geometric and electromagnetic. The electromagnetic relationships are frequency (f), wavelength (λ), and light speed (c). Wavelength and frequency have an inverse relationship. The formula that defines these relationships, f = c/λ, contain the light speed value. When wavelengths are used to define the elements of a right triangle, the light speed value and its associated length and time unit become an integrated part of the geometric relationships.

Universal length

The core of the methodology is the selection of a length that is in itself a physical science constant that has a mathematical relationship to the speed of light. The chosen scientific unit of length is the Universal length and it is identified by the symbol LU. This length unit is used to define Universal time and Universal light speed.

Methodology

The methodology exploits the mathematical methods used to describe electromagnetic waves and applies this to the geometric relationships of a right triangle.

When the right triangle is in its basic form, the relationships are created by multiplying the vertical leg (Y) and the hypotenuse (Z) by the Universal length and the Generic frequency. The values obtained from the four equations are then translated to either a frequency or a wavelength, using the equations that describes the wavelength frequency relationships. The basic equation set is as follows:

  • f1=ω * Z             λ1=CU / f1     (1)
  • f2=ω * Z             λ2=CU / f2     (2)
  • λ3=LU * Y           f3 = CU / λ3   (3)
  • λ4=LU * Y           f4 = CU / λ4   (4)
  • When the known numeric values are substituted into the above equation sets, the most obvious unknown is the light speed value, CU. The equation set can be solved using iterative algebra, as equation sets (1) & (4) and (2) & (3) will have mirror image results, differing by a factor of 100.

    General Case Numeric Results

    ω = 6.2381 (106),  Y = 1, Z = csc(45),  LU=1,   cp - cyles per

  • f1 = 8.8857 (106)  cpTU        λ1 = 100.00 LU
  • f2 = 6.2381 (106)  cpTU        λ2 = 141.42  LU
  • λ3= 1.4142 LU                f3 = 628.31 (106)  cpTU
  • λ4= 1.0000 LU                f4 = 888.57 (106)   cpTU
  • More to be added

    Special Case Numeric Results

    Universal time

    Universal time is the basic scientific unit of time and it is identified by the symbol TU. The time unit has an absolute value of 1 when it is mutually defined with Universal light speed using the Universal length.

    Universal light speed

    Universal light speed is identified by the symbol CU and is the numeric reference value for the speed of light, in nominal free space, of 8885765.876.........+ LU per TU. This numeric value is limited in precision only by our computing capability. This value is mutually defined with the Universal time value using the Universal length. The numeric light speed value has a near absolute mathematical value when it is derived using geometric electromagnetic metrology method at the angle of 45 degrees. As noted in Universal length, the numeric value has an absolute convergence with the frequency value for the hydrogen emission, differing only by unit designators. The numeric value for universal light speed is a constant.

    Related

  • Mars Metrology
  • Martian pyramid
  • Mars timekeeping