The below is the old, and now defunct, scaling laws for Cyclic Multiverse theory. 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 slowerthanlight matter, which could explain the origin of the astronomical quantity of energy now understood in quantum physics as vacuum energy.
The Cyclic Multiverse is a selfsimiliar 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.
is equal to the multiple between fractal levels.
The changes of primary physical properties for the lower fractal level are as follows²:
Properties which are greater at the lower fractal level:
Properties that are the same for corresponding of objects of each fractal level:
temperature

Kelvin

K

velocity

Meters per second

m/s

Properties which are smaller at the lower fractal level:
wavelength (distance)

Meters

m

luminous intensity

Candelas

Cd

Properties that are proportional to the amount of substance or mass at each fractal level:
charge

Columbs

C

mass

Kilograms

kg

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
Properties which are greater at the lower fractal level:
angular velocity

radians/s

density

kg/m^{3}

force/mass

m/s^{2}

G

m^{3}/(kg·s^{2})

pressure

N/m^{2}

Material Phenomena
Properties which are greater at the lower fractal level:
acoustic impedance

(kg/s)/m^{2}

proportional to the density and the phase velocity (speed of sound).

energy density

J/m^{3}

energy / volume

Property that remains the same for corresponding of objects of each fractal level:
dynamic viscosity

(kg/s)/m

the resistance of a fluid to deformation under shear stress

surface tension

J/m^{2}

the amount of tension that keeps a surface, especially of liquids together

Properties which are smaller at the lower fractal level:
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^{2}/s

ratio of dynamic viscosity to mass density

Correlations with substance
Property that is inversely proportional to the amount of substance or mass at each fractal level:
angular acceleration

radians/s^{2}

rate of change of angular velocity

Properties that are proportional to the amount of substance or mass at each fractal level:
area

m^{2}

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^{2}/s^{2}

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^{3}/s

the volume of fluid that flows past a given cross sectional area per second

torque

kg·m^{2}/s^{2}

force applied to a member to produce rotational motion

Light Phenomena
Properties which are greater at the lower fractal level:
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^{2}

light emission / area

light flux density

lm/m^{2}

light incident / area

Properties that are the same for corresponding of objects of each fractal level:
luminous efficacy

lm/W

power as it appears to an observer versus the actual power

Properties which are smaller at the lower fractal level:
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

Properties that are proportional to the amount of substance or mass at each fractal level:
luminous energy

lm·s

quantity of light. living things on the lower fractal level see photons which have as much energy.

Electric Phenomena
Property that is inversely proportional to the amount of charge at each fractal level:
elastance

1/F=V/C=J/C^{2}

potential difference for every coulomb (inverse farads)

Properties which are greater at the lower fractal level:
electric field strength

N/C

force / charge

current density

A/m^{2}

current / area

charge density

C/m^{3}

charge / volume

permeability

N/A^{2}

allows an electric field to pass through easily, lets charge through

resistance

W/A^{2}

higher electrical resistance at the lower fractal level (ohms Ω)

Properties that are the same for corresponding of objects of each fractal level:
applied tension

J/m^{2}=N/m

work / area

conductivity

1/(Ω·m)

property of matter which allows an electric field to get from A to B

resistivity

Ω·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^{2}

a field which causes electric flux.
electric dipole moment per unit volume.

Properties which are smaller at the lower fractal level:
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)

Properties that are proportional to the amount of substance or mass at each fractal level:
capacitance

F=C/V=C^{2}/J

quantity of charge stored for every volt (farads)

coulombs
electric flux

C=A·s

quantity of electric charge itself

Properties that are very small at lower fractal levels.
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)

Magnetic Phenomena
Properties which are greater at the lower fractal level:
magnetic flux density

Wb/m^{2}

magnetic flux / area

Properties that are the same for corresponding of objects of each fractal level:
inductance

J/A^{2}

accomodation of the production of magnetic flux per current

reluctance

A^{2}/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.

Properties which are smaller at the lower fractal level:
magnetic flux

Wb=J/A=V·s

comes from an energetic magnetic field produced by a current (weber, Wb)

Properties that are very small at lower fractal levels.
magnetic dipole moment

A·m^{2}

a vector whose direction is normal to a loop of current. proportional to current and area.

Temperature Phenomena
Properties which are greater at the lower fractal level:
thermal heat transfer coefficient

(W/m^{2})/K

coefficient, thermal conductance

thermal resistance

K/W

index of a material's resistance to heat flow
the reciprocal of conductance

Properties that are the same for corresponding of objects of each fractal level:
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

Properties which are smaller at the lower fractal level:
thermal conductance

W/K

rate of heat flow

thermal resistance coefficient

K/(W/m^{2})

coefficient, thermal resistance

Properties that are proportional to the amount of substance or mass at each fractal level:
heat capacity

J/K

proportion relating the amount of energy per temperature

"Political" Properties
Properties which are greater at the lower fractal level:
"Political" Property

Explanation

Equal to

Physical Analogue

resistance

trouble encountered when going a distance or time

difficulty/achievement

ohms

Properties that are the same for corresponding of objects of each fractal level:
"Political" Property

Explanation

Equal to

Physical Analogue

difficulty

a measure of the problems encountered

achievement·resistance

volts

Properties which are smaller at the lower fractal level:
"Political" Property

Explanation

Equal to

Physical Analogue

power

rate of exercising freedoms

freedoms/time

watts

achievement

the action itself

particles/time

amps

Properties that are proportional to the amount of substance or mass at each fractal level:
"Political" Property

Explanation

Equal to

Physical Analogue

freedom

potential to do

liberties/time

joules

charge

how much has passed

achievement·time

coulombs

Properties that are very small at lower fractal levels.
"Political" Property

Explanation

Equal to

Physical Analogue

liberty

activity

freedom·time

jouleseconds
