Editing K. Marinas' Cyclic Multiverse Hypothesis/Old Approach to Unit-Scaling

The below is the old, and now defunct, scaling law for K. Marinas's Cyclic Multiverse Hypothesis. The new scaling law, found at [[K. Marinas' Cyclic Multiverse Hypothesis#A Fractal Universe and Physical_Units]], allows for faster-than-light-motion embedded inside normally slower-than-light matter, which could explain the origin of the astronomical quantity of energy now understood in quantum physics as [[:wikipedia:vacuum energy|vacuum energy]].

==[[:Image:Fractaluniversecycle.jpg|A Fractal Universe and Physical Units]]==
The '''Cyclic''' Multiverse is a ''self-similiar'' fractal which might have formed just like a snowflake would.  Anything from the curvature of spacetime to the pattern of a snowflake can ultimately explained with units of measurement.

<math>k</math> is equal to the multiple between fractal levels.

The changes of primary physical properties for the lower fractal level are as follows²:

<math>k^{1}</math><div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| frequency
| Hertz
| 1/s
|}</div>

<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| temperature
| Kelvin
| K
|- 
| velocity
| Meters per second
| m/s
|}</div>

<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| wavelength (distance)
| Meters
| m
|- 
| luminous intensity
| Candelas
| Cd
|}</div>

<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| charge
| Columbs
| C
|- 
| mass
| Kilograms
| kg
|}</div>

'''From these assumptions, we can determine the changes that occur in other physical properties for every fractal level we go down.'''

'''The changes of physical properties for the lower fractal level are as follows:'''

===Gravitational Phenomena===
<math>k^{1}</math><div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| angular velocity
| radians/s
|- 
| density
| kg/m<sup>3</sup>
|- 
| force/mass
| m/s<sup>2</sup>
|-
| G
| m<sup>3</sup>/(kg·s<sup>2</sup>)
|- 
| pressure
| N/m<sup>2</sup>
|}</div>

===Material Phenomena===
<math>k^{1}</math>
<div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| acoustic impedance
| (kg/s)/m<sup>2</sup>
| proportional to the density and the phase velocity (speed of sound).
|- 
| energy density
| J/m<sup>3</sup>
| energy / volume
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Property that remains the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| dynamic viscosity
| (kg/s)/m
| the resistance of a fluid to deformation under shear stress
|- 
| surface tension
| J/m<sup>2</sup>
| the amount of tension that keeps a surface, especially of liquids together
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| force
| N=J/m
| comes from a energetic kinetic potential produced by an impulse
|- 
| power
| W=J/s
| rate of energy expenditure
|- 
| mass flow rate
| kg/s
| the mass of fluid that flows past a given cross sectional area per second
|- 
| kinematic viscosity
| m<sup>2</sup>/s
| ratio of dynamic viscosity to mass density
|}</div>

===Correlations with substance===
<math>k^{2}</math><div style="background-color: #EBF4FA; margin: 3px;  border: 1px #aaa solid ">Property that is inversely proportional to the amount of substance or mass at each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| angular acceleration
| radians/s<sup>2</sup>
| rate of change of angular velocity
|}</div>
<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| area
| m<sup>2</sup>
| such as the area of a crossection of a specified part of a vacuum which lets photons of the lower fractal level through.  Photons/area is a constant for corresponding areas of different fractal levels
|- 
| impulse and momentum
| N·s=kg·m/s
| force * time. mass * velocity.
|- 
| energy
| J=kg·m<sup>2</sup>/s<sup>2</sup>
| quantity of energy itself
|- 
| mass
| kg
| equivalence of mass and energy.  where there is point mass, within it are point charges.
|- 
| volume flow rate
| m<sup>3</sup>/s
| the volume of fluid that flows past a given cross sectional area per second
|- 
| torque
| kg·m<sup>2</sup>/s<sup>2</sup>
| force applied to a member to produce rotational motion
|}</div>

===Light Phenomena===
<math>k^{1}</math>
<div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| frequency
| 1/s
| influences the other electrical properties for this lower fractal level (Hz, cycles per second)
|- 
| angular frequency
| radians/s
| frequency with which phase changes
|- 
| spectroscopic wavenumber
| 1/m
| the inverse of wavelength
|- 
| luminosity
| Cd/m<sup>2</sup>
| light emission / area
|-
| light flux density
| lm/m<sup>2</sup>
| light incident / area
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| luminous efficacy
| lm/W
| power as it appears to an observer versus the actual power
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| wavelength
distance
| m
| influences the other electrical properties for this lower fractal level
|-
| luminous flux
| lm=Cd·sr
| Candelas times Steradians (lumens, lm)
|- 
| luminous intensity
| Cd
| power emmited by a light source
|}</div>
<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| luminous energy
| lm·s
| quantity of light. living things on the lower fractal level see photons which have <math>k^{-2}</math> as much energy.
|}</div>

===Electric Phenomena===
<math>k^{2}</math><div style="background-color: #EBF4FA; margin: 3px;  border: 1px #aaa solid ">Property that is inversely proportional to the amount of charge at each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| elastance
| 1/F=V/C=J/C<sup>2</sup>
| potential difference for every coulomb (inverse farads)
|}</div>
<math>k^{1}</math>
<div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| electric field strength
| N/C
| force / charge
|- 
| current density
| A/m<sup>2</sup>
| current / area
|- 
| charge density
| C/m<sup>3</sup>
| charge / volume
|-
| permeability
| N/A<sup>2</sup>
| allows an electric field to pass through easily, lets charge through
|-
| resistance
| W/A<sup>2</sup>
| higher electrical resistance at the lower fractal level (ohms &Omega;)
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| applied tension
| J/m<sup>2</sup>=N/m
| work / area
|- 
| conductivity
| 1/(&Omega;·m)
| property of matter which allows an electric field to get from A to B
|-
| resistivity
| &Omega;·m
| property of matter which resists an electric field from getting from A to B
|- 
| potential difference
| W/A=J/C
| power per unit current. energy per unit charge.  current times resistance. (volt)
|-
| electric flux density
polarization density
| C/m<sup>2</sup>
| a field which causes electric flux.
electric dipole moment per unit volume.
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| current
| A
| flow rate of electricity which provides a force that causes magnetic flux
|- 
| permittivity
| C/(V·m)
| resists the flow of an electric field, contains charge
|- 
| conductance
| A/V
| current produced / (energy / charged particle)
|}</div>
<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| capacitance
| F=C/V=C<sup>2</sup>/J
| quantity of charge stored for every volt (farads)
|- 
| coulombs
electric flux
| C=A·s
| quantity of electric charge itself
|}</div>
<math>k^{-3}</math><div style="background-color: #FAEBF8; margin: 3px;  border: 1px #aaa solid ">Properties that are very small at lower fractal levels.
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| electric dipole moment
| A·s·m
| a vector due to uneven distribution of unlike charges.  proportional to charge and distance.
|- 
| planck's constant
| J·s
| the discrete quantity of action (quantum unit of angular momentum)
|}</div>

===Magnetic Phenomena===
<math>k^{1}</math>
<div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| magnetic flux density
| Wb/m<sup>2</sup>
| magnetic flux / area
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| inductance
| J/A<sup>2</sup>
| accomodation of the production of magnetic flux per current
|- 
| reluctance
| A<sup>2</sup>/J
| resistance of the production of magnetic flux per current
|-
| magnetic vector potential
| N/A=Wb/m
| force per amp. magnetic flux per meter.
|-
| magnetic field strength
magnetization
| A/m
| an auxillary field which causes magnetic flux.
magnetic dipole moment per unit volume.
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| magnetic flux
| Wb=J/A=V·s
| comes from an energetic magnetic field produced by a current (weber, Wb)
|}</div>
<math>k^{-3}</math><div style="background-color: #FAEBF8; margin: 3px;  border: 1px #aaa solid ">Properties that are very small at lower fractal levels.
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| magnetic dipole moment
| A·m<sup>2</sup>
| a vector whose direction is normal to a loop of current.  proportional to current and area.
|}</div>

===Temperature Phenomena===
<math>k^{1}</math><div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| thermal heat transfer coefficient 
| (W/m<sup>2</sup>)/K
| coefficient, thermal conductance
|- 
| thermal resistance
| K/W
| index of a material's resistance to heat flow
the reciprocal of conductance
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| temperature
| K
| corresponding objects of the lower fractal are just as hot, or as cold, as they are in our fractal level
|- 
| thermal conductivity
| (W/m)/K
| ability of a material to conduct heat.
|- 
| thermal expansion coefficient and temperature of color
| 1/K
| the fractional change in length or volume per Kelvin at constant pressure
|- 
| velocity change with temperature
| (m/s)/K
| velocity increases with temperature
|- 
| thermal heat capacity
| J/kg
| the heat stored in a given mass
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|- 
| thermal conductance
| W/K
| rate of heat flow
|- 
| thermal resistance coefficient
| K/(W/m<sup>2</sup>)
| coefficient, thermal resistance
|}</div>
<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| heat capacity
| J/K
| proportion relating the amount of energy per temperature
|}
</div>

==="Political" Properties===
<math>k^{1}</math>
<div style="background-color: #EBFAF4; margin: 3px;  border: 1px #aaa solid ">Properties which are greater at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| "Political" Property
| Explanation
| Equal to
| Physical Analogue
|- 
| resistance
| trouble encountered when going a distance or time
| difficulty/achievement
| ohms
|}</div>
<math>k^{0}</math><div style="background-color: #F0FAEB; margin: 3px;  border: 1px #aaa solid ">Properties that are the same for corresponding of objects of each fractal level: 
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| "Political" Property
| Explanation
| Equal to
| Physical Analogue
|- 
| difficulty
| a measure of the problems encountered
| achievement·resistance
| volts
|}</div>
<math>k^{-1}</math><div style="background-color: #FAF8EB; margin: 3px;  border: 1px #aaa solid ">Properties which are smaller at the lower fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| "Political" Property
| Explanation
| Equal to
| Physical Analogue
|- 
| power
| rate of exercising freedoms
| freedoms/time
| watts
|-
| achievement
| the action itself
| particles/time
| amps
|}</div>
<math>k^{-2}</math><div style="background-color: #F9E9E9; margin: 3px;  border: 1px #aaa solid ">Properties that are proportional to the amount of substance or mass at each fractal level:
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| "Political" Property
| Explanation
| Equal to
| Physical Analogue
|- 
| freedom
| potential to do
| liberties/time
| joules
|-
| charge
| how much has passed
| achievement·time
| coulombs
|}</div>
<math>k^{-3}</math><div style="background-color: #FAEBF8; margin: 3px;  border: 1px #aaa solid ">Properties that are very small at lower fractal levels.
{| border="2" cellpadding="4" cellspacing="0" style="margin: 1em 1em 1em 0; background: #f9f9f9; border: 1px #aaa solid; border-collapse: collapse;" 
|-
| "Political" Property
| Explanation
| Equal to
| Physical Analogue
|- 
| liberty
| activity
| freedom·time
| joule-seconds
|}</div>
Latest revision		Your text
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−	The below is the old, and now defunct, scaling law for K. Marinas' Cyclic Multiverse Hypothesis. The new scaling law, found at [[K. Marinas' Cyclic Multiverse Hypothesis#A Fractal Universe and Physical_Units]], allows for faster-than-light-motion embedded inside normally slower-than-light matter, which could explain the origin of the astronomical quantity of energy now understood in quantum physics as [[:wikipedia:vacuum energy\|vacuum energy]].	+	The below is the old, and now defunct, scaling law for K. Marinas's Cyclic Multiverse Hypothesis. The new scaling law, found at [[K. Marinas' Cyclic Multiverse Hypothesis#A Fractal Universe and Physical_Units]], allows for faster-than-light-motion embedded inside normally slower-than-light matter, which could explain the origin of the astronomical quantity of energy now understood in quantum physics as [[:wikipedia:vacuum energy\|vacuum energy]].

	==[[:Image:Fractaluniversecycle.jpg\|A Fractal Universe and Physical Units]]==		==[[:Image:Fractaluniversecycle.jpg\|A Fractal Universe and Physical Units]]==