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 slower-than-light matter, which could explain the origin of the astronomical quantity of energy now understood in quantum physics as "vacuum energy".

## 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.

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:
 frequency Hertz 1/s

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/m3 force/mass m/s2 G m3/(kg·s2) pressure N/m2

### Material Phenomena

Properties which are greater at the lower fractal level:
 acoustic impedance (kg/s)/m2 proportional to the density and the phase velocity (speed of sound). energy density J/m3 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/m2 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 m2/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/s2 rate of change of angular velocity

Properties that are proportional to the amount of substance or mass at each fractal level:
 area m2 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·m2/s2 quantity of energy itself mass kg equivalence of mass and energy. where there is point mass, within it are point charges. volume flow rate m3/s the volume of fluid that flows past a given cross sectional area per second torque kg·m2/s2 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/m2 light emission / area light flux density lm/m2 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/C2 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/m2 current / area charge density C/m3 charge / volume permeability N/A2 allows an electric field to pass through easily, lets charge through resistance W/A2 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/m2=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/m2 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=C2/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/m2 magnetic flux / area

Properties that are the same for corresponding of objects of each fractal level:
 inductance J/A2 accomodation of the production of magnetic flux per current reluctance A2/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·m2 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/m2)/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/m2) 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 joule-seconds