The study of **Physics** is concerned with
the movement and properties of **Physical**
Objects.
Most of the time, we can actually touch the
Object
in question. Sometimes, we must imagine the
Object
since it can not be touched with the usual sense.

For example, we can touch a stone, feel water, or sense heat; but, we can not touch an electron or a "black hole". Instead, we imagine that an area of space-time has certain properties and then proceed to set up Algebraic Equations to describe the properties of the Object in question. The change in the values of Object's properties, over time, is called the Behavior of the Object.

Whether the
Object
is real or imagined, the study of **Physics**
requires a strong
between:

- the of the Object, and,
- the of the Algebraic Equations which describe the Object.

This requirement arises from the fact that the of the Object and the of the Algebraic Equations is fundamentally different. One is the manifested by the actual Object itself ( real or imagined ), and the other is a set of symbols written on a page.

Because the
Algebraic Equations
are a representational
of the **Intellectual Concept** for the Behavior of the
Object,
there must also be a strong
of
between:

- the Algebraic Equations for the Behavior of the Object, and,
- the
**Intellectual Concept**for the Behavior of the Object.

- the Object,
- the Theory of the Behavior of the Object, and,
- the Algebraic Equations of the Theory

must be equivalent, as far as what is **Physically Observable**. Note well, kind reader, that this does not exclude the possible existence of
,
in a
,
which is not **Physically Observable**. For example, consider the
of an Emotional, Intellectual, or Spiritual experience. The
of an experience answers the question, "What was the experience?",
in a most profound sense.

But ! Beware of the unbalancing traps and decadent altitudes:

- Chauvinism about
attempts to limit
to what is
**Physically Observable**. - Chauvinism about turns into a Thing of Mystery: "Who knows?".

Rather, all this merely suggests that
can not be defined merely in terms of **Physically Observable** properties. This brings us full circle back to **Physics**, and,

Holds onto you hats, folks. Here we go - into the belly of the Beast itself.

Within the formalism of Form and Substance, simply stating "The stone weighs 2 kilograms," or "The boat is 30 cubits long," is setting up an Algebraic Equations of .

One describes the property of physical mass, the other describes the physical property of distance, for a particular Object at a particular place and time.

Properties such as mass and distance are formally referred to as being
Dimensional
Properties of an
Object.
Any
Dimension
of any
Object
must be a **Physically Observable** property of the
Object.
If it can be observed, then it can be measured, or, at least, counted.
In fact, the word
Dimension
comes from a Latin root word meaning "to measure out."

The
Dimensionality
can then be
**Objectively Measured**,
against a standard unit, with a measuring device, like scales or a ruler.
An **Objective Measurement**
is one that is absolutely reproducible, within the fuzzy limits of Heisenberg.

All **Objective Measurements**
are expressed in the following format:

The **Unit of Dimensionality**

specifies a **Unit of Measurement**,

for the **Dimensional Property**,

of the
Object
in question.

An extensive list of
**Dimensional Properties and Units of Dimensionality**
is provided, to mark the limits of what is **Physically Observable**. As such, it represents what may be called the
of an
Object,
on the Physical Plane of Perception.
As scientific research grinds onward, more
Dimensionality
will be added.

Within the formalism ofForm and Substance, the concept ofSubstanceis extended: onto theEmotionalPlane of Perception to allow imperfect Analogies; onto theIntellectualPlane of Perception to allow logical Consequences; and, onto theSpiritualPlane of Perception to allow something Beyond.

All **Physically Observable** properties of an
Object
are either **Fundamental Dimensions**, or are
ed
as a composite of the **Fundamental Dimensions**. The decomposition of a **Physically Observable** property into the appropriate **Fundamental Dimensions** is called **Dimensional**
.

+===========================================================================+ | D I M E N S I O N S -- Fundamental | +===========================================================================+ Components =========== Q M L T Name Units of Measurement == == == == ======================== =================================== +1 Electric Charge Coulomb, ESU. +1 Mass Kilograms, Pounds, Tons, ... +1 Length Meters, Feet, Miles, ... +1 Time Seconds, Days, Years, ... == == == == ======================== =================================== +===========================================================================+ | D I M E N S I O N S -- Of Space and Time | +===========================================================================+ Components =========== Q M L T Name Units of Measurement == == == == ======================== =================================== +3 Volumn Cubic Meters, Cubic Feet, Liter, ... +2 -1 Diffusivity +2 Area Square Meters, Square Feet, Barn, ... +1 Length Meters, Feet, Miles, ... +1 -1 Velocity +1 -2 Acceleration +1 -3 Jerk == == == == ======================== =================================== +===========================================================================+ | D I M E N S I O N S -- Involving Mass | +===========================================================================+ Components =========== Q M L T Name Units of Measurement == == == == ======================== =================================== -1 +3 Specific Volumn = Inverse Density +1 Mass Kilograms, Pounds, Tons, ... +1 -3 Density -- -- -- -- ------------------------ ----------------------------------- -1 +1 +1 Fluidity = Inverse Viscosity +1 -1 -1 Viscosity Poise +1 +1 -1 Momentum +1 +2 -1 Action -- -- -- -- ------------------------ ----------------------------------- +1 -1 -2 Pressure Bar, Torr +1 -2 Surface Tension +1 +1 -2 Force Newton, Dyne +1 +2 -2 Energy Joule, Erg, Electron Volt -- -- -- -- ------------------------ ----------------------------------- +1 +2 -3 Power Watt == == == == ======================== =================================== +===========================================================================+ | D I M E N S I O N S -- Involving Electric Charge | +===========================================================================+ Components =========== Q M L T Name Units of Measurement == == == == ======================== =================================== -2 -1 -2 Magnetic Reluctance . -2 +1 +1 Magnetic Permeability . -2 +1 +2 -1 Resistance Ohm. -2 +1 +2 Magnetic Permeance . -2 +1 +2 Induction Henry. -2 +1 +3 -1 Resistivity . -- -- -- -- ------------------------ ----------------------------------- -1 +1 -1 Magnetic Induction Gauss, Tesla, Weber/Meter^2. -1 +1 +1 -2 Electric Field Intensity Volt/Meter. -1 +1 +2 -2 Electric Potential Volt. -1 +1 +2 -1 Magnetic Flux Weber, Maxwell. -- -- -- -- ------------------------ ----------------------------------- +1 Electric Charge Coulomb, ESU. +1 +2 Electric Displacement . +1 -1 -1 Magnetic Field Induction Orestead, Ampere/Meter. +1 -1 Electric Current Ampere. +1 -1 Magnetic Potential Gilbert. +1 Electric Charge Coulomb, ESU. +1 +1 Dipole Moment Debye. -- -- -- -- ------------------------ ----------------------------------- +2 -1 -2 +1 Conductance = Inverse Resistance, Mho. +2 -1 -3 +1 Conductivity Mho/Meter. +2 -1 -2 +2 Capacitance Farad. +2 -1 -3 +2 Permittivity Farad/Meter. +2 -1 -1 Magnetic Reluctance Ampere-Meter/Weber. == == == == ======================== ===================================

*noun*

- A measure of spatial extent, especially width, height, or length.
- Often dimensions. Extent or magnitude; scope: a problem of alarming dimensions.
- Aspect; element: "He's a good newsman, and he has that extra dimension" (William S. Paley).
- Mathematics. a. One of the least number of independent coordinates required to specify uniquely a point in space or in space and time. b. The range of such a coordinate.
- Physics. A physical property, such as mass, length, time, or a combination thereof, regarded as a fundamental measure or as one of a set of fundamental measures of a physical : Velocity has the dimensions of length divided by time.

dimensioned,

dimensioning,

dimensions *verb, transitive*

- To cut or shape to specified dimensions.
- To mark with specified dimensions.

[Middle English dimensioun, from Latin dėmęnsio, dėmęnsion-, extent, from dėmęnsus, past participle of dėmętėrė, to measure out : dis-, dis- + mętėrė, to measure.]

dimensional *adjective*

dimensionality *noun*

dimensionally *adverb*

dimensionless *adjective*

Updated 96/02/01.