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:
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:
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:
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 of Form and Substance, the concept of Substance is extended: onto the Emotional Plane of Perception to allow imperfect Analogies; onto the Intellectual Plane of Perception to allow logical Consequences; and, onto the Spiritual Plane 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
dimensioned,
dimensioning,
dimensions verb, transitive
[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