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 | + | 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 | + | ** [[wikipedia:Mole (unit)|Mole]] is the dimensionless amount of particles. |
− | ** [[wikipedia:Candela|Candela]] is | + | ** [[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 | + | 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 | + | # [[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 | + | 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 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 | + | 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 | + | |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 | + | |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 | + | |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 "[[ | + | |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:
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:
- Magnetic field quantity according to the aether model has the maximum absolute value \(B_{MAX}\) chosen as the common unit of magnetic field.
- Speed of light in vacuum is the velocity unit.
- 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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