# Re: "Dimensional Analysis and Relativity"

*From*: "Vert" <avergon@xxxxxxxxxxx>*Date*: 27 Mar 2006 12:34:42 -0800

TSE:

Dimensional Analysis is a technique which recognizes the fact that

every term in a physical equation MUST have the same dimensional

content

(i.e.- length, time, force, mass, etc.) if one is not to become

involved in

the foolish exercise of equating apples and oranges. It has become

readily

apparent over the years that only three dimensional entities are

required.

All other dimensional entities can be derived from those three using

accepted physical equations. (This conclusion is based upon over a

century

of observation but, like the fact that only four colors are required to

produce a map without color interference at boundaries, has not been

rigorously proven to the writer's knowledge.)

It is common in the physical sciences to use the dimensional

entities

of Mass(M), Length(L) and Time(T) as fundamental (others might be used

in

their stead without error). The writer, however, chooses to substitute

the

dimensional entity of Force (F) for the dimensional entity of Mass as

being

more fundamental. Unlike Force, Length, and Time, Mass is not directly

observable. It can only be observed in terms of the force which results

when

velocity is changed or which results when it is in the proximity of

another

mass (weighing). The dimensional content of various physical quantities

are

provided below:

Dimensional Entity Dimensional Content

Force (F) F

Length (L) L

Time (T) T

Energy (E) FL

Charge (Q) FL

Momentum (U) FT

Angular Momentum (J) FLT

Planck's Constant (H) FLT

Velocity (V) L/T

Acceleration (A) L/T^2

Mass (M) F*T^2/L

Incremental Mass (MI) F*T^2/L

(This is the mass observed during an incremental velocity change.)

Gravitational Constant (G) L^4/(F*T^4)

Ergo-gravitational Constant (D) 1/F

(This term is identical to Dr. Einstein's Cosmological Constant.)

Temperature (t') F*L

Dielectric Constant (e') F

Permeability (u') F*T^2/L^2

The relativistic transformations for these quantities are readily

apparent:

VERGON

EXCELLENT,EXCELLENT, EXCELLENT.

It's encouraging to see some intelligent discourse on this NG. I had a

professor who used to say, "What do you get when you send a bonehead to

college?" (Answer) "An edcated bonehead. This NG abounds with them.

I agree with what you say but would like to point out that there are

many roads to Rome.

In my own work I use the following:

m = mass

a = acceleration

d = distance or length

t = time

Thus:

d/t^2 = acceleration

at, d/t = velocity

ma = force

mad = energy

mat = momentum

madt = Planck's constant -- which may be read as energy times time or

momentum times distance.

Momentum times distance has come handy in my theory (entitled On the

Quantum as a Physical entity).

You may be interested in my concept of dimensional analysis: (This is

from my theory also.)

The objective universe consists of matter, the space between matter and

the motion of matter through that space. That and nothing more. The

rest are concepts in the mind of man.

Man perceives matter, to quantify it he conceptualizes "mass".

Matter exists objectively, mass is a concept.

Matter resists motion or alteration of motion. Man perceives that as

"inertia" which in turn quantifies mass.

Matter moves with varying degrees of motion. Man compares all motion to

one used as a standard which is constant. This standard motion is

divided into arbitrary units. The transit of the standard through one

unit is designated as time. (The rotation of the earth is a standard

motion. One rotation is designated as a day [time] with arbitrary

subdivisions.) All other motions are then compared to a unit of time.

Thus, at base, time is the comparison of motions, nothing more.

The quantification of motion in terms of time is conceptualized as

"velocity". Ultimately this is a comparison of motions against the

standard.

The quantification of the motion of matter in terms of mass and

velocity

is conceptualized as "momentum", i.e., there is a simultaneous

determination of the quantity of matter and the quantity of motion it

possesses.

Matter moves and changes that motion by interaction. Man perceives

the rate of change as "force", i.e., the change of momentum with

respect to time. Collaterally he perceives "acceleration" as the change

of velocity with respect to time.

Matter interacts with matter forming an altered configuration.

Man regards that as "energy", ultimately energy is matter (mass) in

motion.

There is space between matter. Man perceives that and quantifies it by

arbitrary standards of matter. Thus is created the concepts of

"dimension" and "distance".

-<*>-

So we see that dimension, space, time, mass, inertia, momentum,

acceleration, force, and energy are all subjective interpretations by

man of matter and its motion through space.

If you would care to look at the entire theory go to

http://www.wbabin.net (The General Science Journal).

find the "List of Authors" pull down and click on Vertner

Vergon.

.

**References**:**"Dimensional Analysis and Relativity"***From:*Tse

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