Difference between revisions of "System of units"

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Corresponding Wikipedia article: [[wikipedia:Units of measurement|Units of measurement]]
 
Corresponding Wikipedia article: [[wikipedia:Units of measurement|Units of measurement]]
 
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The [[Aether theory|aether]] concept corrects the existing laws, introduce new fundamental laws, and leads to creation of an alternative system of units called the simplified (Sim.) system.
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The [[Aether theory|aether]] concept corrects the existing laws, introduce new fundamental laws and leads to creation of an alternative system of units called the simplified (Sim.) system.
  
 
The purposes of the simplified system of units are:
 
The purposes of the simplified system of units are:
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** [[wikipedia:Kilogram|Kilogram]]. [[Mass and inertia|Mass]] (rest energy) has an electromagnetic nature.
 
** [[wikipedia:Kilogram|Kilogram]]. [[Mass and inertia|Mass]] (rest energy) has an electromagnetic nature.
 
** [[wikipedia:Kelvin|Kelvin]]. [[wikipedia:Temperature|Temperature]] is a statistical parameter, which is proportional to the average particle energy.
 
** [[wikipedia:Kelvin|Kelvin]]. [[wikipedia:Temperature|Temperature]] is a statistical parameter, which is proportional to the average particle energy.
** [[wikipedia:Mole (unit)|Mole]] is a dimensionless amount of particles.
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** [[wikipedia:Mole (unit)|Mole]] is the dimensionless amount of particles.
** [[wikipedia:Candela|Candela]] is a power of the electromagnetic radiation.
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** [[wikipedia:Candela|Candela]] is the power of electromagnetic radiation.
  
The chosen base units are three vector (real physical) quantities. The first two relates to the aether state, and the 3rd to a [[Physical space|space]]:
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The chosen base units are three vector (real physical) quantities. The first two relates to the aether state, and the 3rd relates to the [[Physical space|space]]:
# [[wikipedia:Magnetic field|Magnetic field]] quantity according to the [[Aether model|aether model]] has a maximum absolute value <math>B_{MAX}</math> chosen as the common unit of the magnetic field.
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# [[wikipedia:Magnetic field|Magnetic field]] quantity according to the [[Aether model|aether model]] has the maximum absolute value <math>B_{MAX}</math> chosen as the common unit of magnetic field.
 
# [[wikipedia:Speed of light|Speed of light]] in vacuum is the velocity unit.
 
# [[wikipedia:Speed of light|Speed of light]] in vacuum is the velocity unit.
 
# Length unit <math>\lambda_{MIN}</math> is determined from a condition that the elementary charge is equal to 1.
 
# Length unit <math>\lambda_{MIN}</math> is determined from a condition that the elementary charge is equal to 1.
  
The unit of charge <math>e</math>, according to the charge definition as a [[wikipedia:Gauss's law|flux of electric field]], is expressed by the simplified units in the system SI so:
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The unit of charge <math>e</math>, according to the charge definition as the [[wikipedia:Gauss's law|flux of electric field]], is expressed by the simplified units in the system SI so:
 
:<math>e=\varepsilon_0cB_{MAX}\lambda_{MIN}^2</math>
 
:<math>e=\varepsilon_0cB_{MAX}\lambda_{MIN}^2</math>
 
Assuming the [[wikipedia:Proton|proton]] mass ([[wikipedia:Atomic mass unit|atomic mass unit]]) as the unit of mass, the conventional values of <math>B_{MAX}</math> and <math>\lambda_{MIN}</math> may be obtained. The unit of mass <math>m_0</math>, according to the density definition ([[Mass and inertia|"Mass and inertia", 2]]), is expressed by the simplified units in the system SI so:
 
Assuming the [[wikipedia:Proton|proton]] mass ([[wikipedia:Atomic mass unit|atomic mass unit]]) as the unit of mass, the conventional values of <math>B_{MAX}</math> and <math>\lambda_{MIN}</math> may be obtained. The unit of mass <math>m_0</math>, according to the density definition ([[Mass and inertia|"Mass and inertia", 2]]), is expressed by the simplified units in the system SI so:
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:<math>\lambda_{MIN}=\frac{e^2}{\varepsilon_0m_0c^2}=1,93\cdot 10^{-17}m</math>
 
:<math>\lambda_{MIN}=\frac{e^2}{\varepsilon_0m_0c^2}=1,93\cdot 10^{-17}m</math>
 
:<math>B_{MAX}=\frac{\varepsilon_0m_0^2c^3}{e^3}=1,62\cdot 10^{17}T</math>
 
:<math>B_{MAX}=\frac{\varepsilon_0m_0^2c^3}{e^3}=1,62\cdot 10^{17}T</math>
The value <math>\lambda_{MIN}</math> corresponds to the [[wikipedia:Compton wavelength|Compton wavelength]] of the heavy atomic nuclei, and is conventionally considered as the minimal wavelength and the minimal length in general. The value <math>B_{MAX}</math> matches the evaluated [[Magnetism of particles|nuclear magnetic field]].
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The value <math>\lambda_{MIN}</math> corresponds to the [[wikipedia:Compton wavelength|Compton wavelength]] of heavy atomic nuclei, and it is conventionally considered as the minimal wavelength and the minimal length in general. The value <math>B_{MAX}</math> matches the evaluated [[Magnetism of particles|nuclear magnetic field]].
  
The units of all physical quantities in a 3-dimensional space can be expressed by a triplet of the base units raised to the various exponents:
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The units of all physical quantities within 3-dimensional space can be expressed by a triplet of the base units raised to the various exponents:
 
{|class="wikitable"
 
{|class="wikitable"
 
!rowspan="2"|Quantity
 
!rowspan="2"|Quantity
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|align="center"|0
 
|align="center"|0
 
|align="center"|0
 
|align="center"|0
|Deceleration of beams in the matter  
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|Deceleration of beams within matter  
 
|-
 
|-
 
|align="center"|[[wikipedia:Gravitational potential|Gravitational potential]]
 
|align="center"|[[wikipedia:Gravitational potential|Gravitational potential]]
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|align="center"|[[wikipedia:Force|'''Force''']]
 
|align="center"|[[wikipedia:Force|'''Force''']]
 
|align="center"|2
 
|align="center"|2
|Gradient of a potential energy
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|Gradient of potential energy
 
|-
 
|-
 
|align="center"|[[wikipedia:Torque|'''Torque''']]
 
|align="center"|[[wikipedia:Torque|'''Torque''']]
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|align="center"|[[wikipedia:Temperature|Temperature]]
 
|align="center"|[[wikipedia:Temperature|Temperature]]
 
|align="center"|3
 
|align="center"|3
|It has the meaning of an average particle energy
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|It has the meaning of average particle energy
 
|-
 
|-
 
|align="center"|[[wikipedia:Power (physics)|Power]], [[wikipedia:Luminous intensity|luminous intensity]]
 
|align="center"|[[wikipedia:Power (physics)|Power]], [[wikipedia:Luminous intensity|luminous intensity]]
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|align="center"|1
 
|align="center"|1
 
|align="center"|4
 
|align="center"|4
|Not a fundamental (see "[[Mass and momentum]]")
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|Not a fundamental (see "[[Fine-structure constant]]")
 
|}
 
|}
 
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{{Book_page|Theory of relativity|Physics|Energy and force}}
 
{{Book_page|Theory of relativity|Physics|Energy and force}}

Latest revision as of 15:07, 25 July 2016

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Corresponding Wikipedia article: Units of measurement


The aether concept corrects the existing laws, introduce new fundamental laws and leads to creation of an alternative system of units called the simplified (Sim.) system.

The purposes of the simplified system of units are:

  • To make the most of fundamental constants dimensionless and/or equal to 1 for simplifying of calculations. For example, an electric charge can be expressed as an integer number of the elementary charges.
  • To make the most of the absolute value intervals as \([0; 1]\) or \([1; \infty)\).
  • To eliminate redundancy of the SI:
    • Kilogram. Mass (rest energy) has an electromagnetic nature.
    • Kelvin. Temperature is a statistical parameter, which is proportional to the average particle energy.
    • Mole is the dimensionless amount of particles.
    • Candela is the power of electromagnetic radiation.

The chosen base units are three vector (real physical) quantities. The first two relates to the aether state, and the 3rd relates to the space:

  1. Magnetic field quantity according to the aether model has the maximum absolute value \(B_{MAX}\) chosen as the common unit of magnetic field.
  2. Speed of light in vacuum is the velocity unit.
  3. Length unit \(\lambda_{MIN}\) is determined from a condition that the elementary charge is equal to 1.

The unit of charge \(e\), according to the charge definition as the flux of electric field, is expressed by the simplified units in the system SI so: \[e=\varepsilon_0cB_{MAX}\lambda_{MIN}^2\] Assuming the proton mass (atomic mass unit) as the unit of mass, the conventional values of \(B_{MAX}\) and \(\lambda_{MIN}\) may be obtained. The unit of mass \(m_0\), according to the density definition ("Mass and inertia", 2), is expressed by the simplified units in the system SI so: \[m_0=\varepsilon_0B_{MAX}^2\lambda_{MIN}^3\] The solution of system of two equations is: \[\lambda_{MIN}=\frac{e^2}{\varepsilon_0m_0c^2}=1,93\cdot 10^{-17}m\] \[B_{MAX}=\frac{\varepsilon_0m_0^2c^3}{e^3}=1,62\cdot 10^{17}T\] The value \(\lambda_{MIN}\) corresponds to the Compton wavelength of heavy atomic nuclei, and it is conventionally considered as the minimal wavelength and the minimal length in general. The value \(B_{MAX}\) matches the evaluated nuclear magnetic field.

The units of all physical quantities within 3-dimensional space can be expressed by a triplet of the base units raised to the various exponents:

Quantity Exponent Comment
\(B_{MAX}\) \(c\) \(\lambda_{MIN}\)
Time 0 –1 1 Transfer at speed
Permeability, permittivity 0 0 0 Deceleration of beams within matter
Gravitational potential 0 0 0 Relative decrease in the gravitons concentration
Entropy, Heat capacity, amount of substance 0 0 0 Dimensionless statistical parameters
Geometry
Length 0 0 1
Inductance, capacitance 1 As in the CGS
Area 2
Volume 3
Kinematics
Thermal conduction 0 1 –2 Speed of the heat transfer across an area
Frequency, angular velocity –1
Velocity 0
Electrical conductivity 0 Wave conductivity has the meaning of speed
Kinematic viscosity 1 Resistance to velocity
Acceleration 2 –1
Angular acceleration –2
Magnetism
Magnetic field 1 0 0 Curl of the magnetic potential
Magnetic potential 1
Magnetic flux 2
Electricity
Electric field, displacement 1 1 0 Motion in the magnetic field
Electric potential, voltage 1
Electric charge 2 Flux of field
Current density 2 –1
Magnetomotive force, electric current 1 Motion of charge
Magnetic moment 3 Useless quantity
Matter
Density 2 0 0 Mass has an electromagnetic nature
Mass 3
Moment of inertia 5
Dynamics
Dynamic viscosity 2 1 1 Resistance to velocity
Momentum 3
Angular momentum 4
Energy and force
Pressure, energy density 2 2 0 Dynamic pressure of mass
Stress 0 Force per unit of area
Force 2 Gradient of potential energy
Torque 3
Energy 3 Volume integral of the energy density
Temperature 3 It has the meaning of average particle energy
Power, luminous intensity 3 2 Energy transfer rate
Constants
Gravitational –2 –2 –2 Not a fundamental
Vacuum permeability 0 0 0 1
Vacuum permittivity 1
Avogadro 1
Boltzmann 1
Gas 1
Elementary charge 1 1 2 1
Faraday 1 1 2 1
Mass of electron etc. 2 0 3
Planck 2 1 4 Not a fundamental (see "Fine-structure constant")

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