Bully Metric: Difference between revisions

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[[bully temp]]
[https://physwiki.eeyabo.net/index.php/Bully_Metric Bully Metric Development Area]
{{Original research}}
[[File:Vitruvian_Distance.png|thumb|right|600px| Five traditional units are accepted for use with the Buly system. Bully variants of the fathom, cubit, span, gallon, and stone, are defined below. <br/> 1 Bully Fathom = 200 kilopan (200,000 apan)<br/> 1 Bully Cubit = 50 kilopan (50,000 apan) <br/> 1 Bully Span = 25 kilopan (25,000 apan)<br/> 1 Bully Gallon = 5,000 cubed kilopan <br/> 1 Bully Stone = 500 Rn yta]]
Six base units are included in the '''Bully Metric''' system. Two variants of the '''apan''' are defined as [https://en.wikipedia.org/wiki/Spacetime spacetime units]. Three variants of the '''nat''' are defined as transformation units.  And the symbol '''"e"''' is used to represent elementary charge (the charge of a single electron).
The '''time apan''' (or timepan) (symbol '''ta''') is by definition exactly 30.55 femtoseconds. The '''length apan''' (or lightpan or lengthpan) (symbol '''la''') is by definition the distance light travels in vacuum in 30.55 femtoseconds.
[[Bully Metric Time Apan|The Bully Metric time unit]]<br/>
[[Bully Metric Length Apan|The Bully Metric length unit]]
The '''infonat''' (natural unit of entropy) (symbol '''En''') is defined such that for an ideal gas in a given [https://en.wikipedia.org/wiki/Microstate_(statistical_mechanics) macrostate], the entropy of the gas divided by the natural logarithm of the number of real [https://en.wikipedia.org/wiki/Microstate_(statistical_mechanics) microstates] would be equivalent to one infonat.
{| class="wikitable floatright"
|+Table 1: Gravitational Mass
|-
! Body
! colspan="2"|'''''mass'''''
|-
| Sun
| style="border-right:none;"|{{val|161227199.623|(5)}}
| style="border-left :none;"| Rn ta
|-
| Earth
| style="border-right:none;"|{{val|484.2442275|(10)}}
| style="border-left :none;"| Rn ta
|-
| Moon
| style="border-right:none;"|{{val|5.9587358|(11)}}
| style="border-left :none;"| Rn ta
|}
The '''rapinat''' (natural unit of rapidity) (symbol '''Rn''') is defined such that an object with a [https://en.wikipedia.org/wiki/Standard_gravitational_parameter standard gravitational parameter] equal to the speed of light in vacuum cubed multiplied by 30.55 femtoseconds, will have a gravitational mass of one rapinat timepan.  The dwarf planet Pluto has a gravitational mass of roughly one rapinat timepan.  Earth's moon has a gravitational mass of approximately six rapinat timepan.  It would take roughly six Pluto sized objects smashed together to build something the size of the moon.  A few example masses are shown in Table 1.
{| class="wikitable floatright"
|+Table 2: Quantum Rest Energy
|-
! Particle
! colspan="2"|'''''rest energy'''''
|-
| Neutron
| style="border-right:none;"|{{val|43608632955}}
| style="border-left :none;"| An / ta
|-
| Proton
| style="border-right:none;"|{{val|43548604715}}
| style="border-left :none;"| An / ta
|-
| Electron
| style="border-right:none;"|{{val|23717311.411}}
| style="border-left :none;"| An / ta
|-
| Neutrino
| style="border-right:none;"|< {{val|5.57}}
| style="border-left :none;"| An / ta
|-
| Graviton
| style="border-right:none;"|< {{val|3.6}}
| style="border-left :none;"| An / Zta
|}
The '''actionat''' (natural unit of action) (symbol '''An'''), and '''elementary charge''' (symbol '''e'''), are defined such that if a Josephson Junction were exposed to microwave radiation of frequency 2 / 30.55 picoseconds (≈ [https://www.google.com/search?q=2+%2F+%2830.55+picoseconds%29 65.4664484 gigahertz]), then the junction would form equidistant Shapiro steps with separation of 2π actionats per kilo-time-apan electron.  Also,the quantum Hall effect will have resistance steps of multiples of 2π actionats per electron squared.  A few example rest energies are listed in Table2.
ta = 30.55 femtoseconds (exact)
la = [https://pml.nist.gov/cgi-bin/cuu/Value?c c] × 30.55 femtoseconds (exact)
    = [https://www.google.com/search?q=c+*+%2830.55e-15+s%29 9.1586595919 micrometers] (exact)
En = [https://pml.nist.gov/cgi-bin/cuu/Value?k 1.380649 x 10<sup>-23</sup> joule / kelvin] (exact)
Rn = (c<sup>3</sup> / [https://pml.nist.gov/cgi-bin/cuu/Value?bg G]) (exact)
    ≈ [https://www.google.com/search?q=c%5E3+%2F++G+in+kg+%2F+s 4.0370 × 10<sup>35</sup> kilogram / second] (approximate)
An = 4 / (2π × K<sub>J</sub><sup>2</sup> × R<sub>J</sub>)  (exact)
    = [https://www.google.com/search?q=4+%2F+%28+%282+*+pi+*+%28483%2C597.84841698+Ghz+%2F+V%29%5E2+*+%2825812.8074593+%CE%A9%29%29 1.05457182 × 10<sup>-34</sup> joule second] (approximate)
e = 2 / (K<sub>J</sub> × R<sub>J</sub>) (exact)
  = [https://www.google.com/search?q=2+%2F+%28+%28483%2C597.84841698+Ghz+%2F+V%29+*+%2825812.8074593+%CE%A9%29%29 1.60217663 × 10<sup>-19</sup> coulombs] (approximate)
The above definitions ensure normalization of the speed of light (c), Newton's gravitational constant (G), the Boltzmann constant (k<sub>B</sub>), the reduced Planck constant (ħ), and the elementary charge (e):
<math>c = 1.0 \, \frac{la}{ta}</math> (exact)
<math>G = 1.0 \, \frac{{la}^{3}}{Rn \, ta^{3}}</math>  (exact)
<math>k_{B} = 1.0 \, En</math> (exact)
<math>\hbar = 1.0 \, An</math> (exact)
<math>elementary \, charge = 1.0 \, e </math>  (exact)
[[Bully Metric Bohr Model|The Bohr Atomic Model using Bully Metric units]]<br/>

Revision as of 18:01, 19 October 2024

bully temp Bully Metric Development Area

  1. REDIRECT [Original research]
File:Vitruvian Distance.png
Five traditional units are accepted for use with the Buly system. Bully variants of the fathom, cubit, span, gallon, and stone, are defined below.
1 Bully Fathom = 200 kilopan (200,000 apan)
1 Bully Cubit = 50 kilopan (50,000 apan)
1 Bully Span = 25 kilopan (25,000 apan)
1 Bully Gallon = 5,000 cubed kilopan
1 Bully Stone = 500 Rn yta

Six base units are included in the Bully Metric system. Two variants of the apan are defined as spacetime units. Three variants of the nat are defined as transformation units. And the symbol "e" is used to represent elementary charge (the charge of a single electron).

The time apan (or timepan) (symbol ta) is by definition exactly 30.55 femtoseconds. The length apan (or lightpan or lengthpan) (symbol la) is by definition the distance light travels in vacuum in 30.55 femtoseconds.

The Bully Metric time unit
The Bully Metric length unit

The infonat (natural unit of entropy) (symbol En) is defined such that for an ideal gas in a given macrostate, the entropy of the gas divided by the natural logarithm of the number of real microstates would be equivalent to one infonat.

Table 1: Gravitational Mass
Body mass
Sun Template:Val Rn ta
Earth Template:Val Rn ta
Moon Template:Val Rn ta

The rapinat (natural unit of rapidity) (symbol Rn) is defined such that an object with a standard gravitational parameter equal to the speed of light in vacuum cubed multiplied by 30.55 femtoseconds, will have a gravitational mass of one rapinat timepan. The dwarf planet Pluto has a gravitational mass of roughly one rapinat timepan. Earth's moon has a gravitational mass of approximately six rapinat timepan. It would take roughly six Pluto sized objects smashed together to build something the size of the moon. A few example masses are shown in Table 1.

Table 2: Quantum Rest Energy
Particle rest energy
Neutron Template:Val An / ta
Proton Template:Val An / ta
Electron Template:Val An / ta
Neutrino < Template:Val An / ta
Graviton < Template:Val An / Zta

The actionat (natural unit of action) (symbol An), and elementary charge (symbol e), are defined such that if a Josephson Junction were exposed to microwave radiation of frequency 2 / 30.55 picoseconds (≈ 65.4664484 gigahertz), then the junction would form equidistant Shapiro steps with separation of 2π actionats per kilo-time-apan electron. Also,the quantum Hall effect will have resistance steps of multiples of 2π actionats per electron squared. A few example rest energies are listed in Table2.

ta = 30.55 femtoseconds (exact)

la = c × 30.55 femtoseconds (exact)
   = 9.1586595919 micrometers (exact)

En = 1.380649 x 10-23 joule / kelvin (exact)

Rn = (c3 / G) (exact)
   ≈ 4.0370 × 1035 kilogram / second (approximate)

An = 4 / (2π × KJ2 × RJ)  (exact)
   = 1.05457182 × 10-34 joule second (approximate)

e = 2 / (KJ × RJ) (exact)
  = 1.60217663 × 10-19 coulombs (approximate)

The above definitions ensure normalization of the speed of light (c), Newton's gravitational constant (G), the Boltzmann constant (kB), the reduced Planck constant (ħ), and the elementary charge (e):

(exact)

(exact)

(exact)

(exact)

(exact)

The Bohr Atomic Model using Bully Metric units