Having been a member of Google+ for (only) a few months, or any of the social media for that matter, I have noticed that the most prolific bloggers are those who pass on information from another source.
Some have developed a following sufficient to sustain advertising, a source of revenue for themselves, but who equate to the retailers, rather than the inventors and manufacturers of ideas. They succeed through volume, rather than quality, similar to Woolworths or Walmart.
I think that there is a place for that, however I am disappointed that some people with some great ideas, concepts, art or photography, who represent the quality of the contributions, are robbed of the credit they deserve by the slavery of the relatively mindless to the easily seen or understood, (it is easier to look at a picture than to tax the mind by having to read something,) rather than to the new concepts or brilliant ideas or art occasionally seen.
There are some on Google+ who try to raise the standard by introducing rules to their circles which are to be followed before participation is allowed. Admirable concept, but a failure judging by their number of followers. It is wonderful to have a forum to which all can make a contribution according to their view and ability, but the judgment upon the contributions, such as how many +1's, may need some tweaking to reflect the quality of the contribution rather than its (effortless) appeal. I am not sure how this could be done, but what I am trying to find is some views on improving and encouraging new thinking, rather than recycling of the same ideas, science or art.
The solution to these problems is that which would make Google+ way superior to any other social medium. I would expect some strident criticism of these comments, particularly from those with a vested interest in the status quo, but think it worthwhile, nonetheless, to express some ideas which may lead to a better forum.
Monday, 22 July 2013
Monday, 15 July 2013
Intuition - beyond Reason
As a student of science for more than 30 years, I am trying to express something about intuition / reason which I never thought I would. I had noticed long ago that Albert Einstein, a person whose intellect I respect, would not really take a definite position on science versus religious belief. I now understand that the reason was not a product of his era's taboos or beliefs.
Something which I have learned over many years is the difference between male and female mindsets. Women use intuition more often than men. Men become frustrated at womens' "logic" which makes little sense to them. I have concluded, after many years as a male thinker, that age begets wisdom in this sense. I have learned that art and music do not need reason to be appreciated as worthy. They are appreciated intuitively. Women have been under-valued in some cultures for centuries for this same reason, a difference in the source of their knowledge - reason or intuition. The Chinese idea of Yin and Yang may express this difference with some eloquence. I think intuition comes from the sub-conscious mind, which absorbs millions of times more data than does the conscious mind, for example, everything you see, hear or read passes to the sub-conscious memory bank, and is dragged into the conscious mind when needed, even decades later.
It is possibly true that major advances in science are a consequence of intuition. The scientist then spends a great deal of his time 'proving', or making sub-conscious intuition acceptable to reason. Reason uses only a fraction of the data available to Intuition.
Younger minds tend to confuse the spiritual (unprovable) with the man made business of religion in all its corruption and hypocrisy, which is probably why rejection of the unprovable among that group is higher than other groups.
Here is a question with which to test and clarify your reality.
" When you think of 'self ', does it mean more to you than just your body ?"
If your answer is 'no', then you are probably a genuine atheist. If the answer is ' yes ' then you have a belief that your mind is of a different substance / plane to your body. Most of humanity have this view, which I think is what underlies spirituality and religious belief. How else can we explain this sense, sometimes referred to as ' soul ', common to all religions ?
I cannot prove which is correct, only present the questions. The consideration moves into the realm of philosophy and science, which, put another way, to the realm of intuition and reason. In the end they may amount to the same thing if we ever understand all of the facts.
In the meantime we have intuition / reason to balance as we see fit.
Something which I have learned over many years is the difference between male and female mindsets. Women use intuition more often than men. Men become frustrated at womens' "logic" which makes little sense to them. I have concluded, after many years as a male thinker, that age begets wisdom in this sense. I have learned that art and music do not need reason to be appreciated as worthy. They are appreciated intuitively. Women have been under-valued in some cultures for centuries for this same reason, a difference in the source of their knowledge - reason or intuition. The Chinese idea of Yin and Yang may express this difference with some eloquence. I think intuition comes from the sub-conscious mind, which absorbs millions of times more data than does the conscious mind, for example, everything you see, hear or read passes to the sub-conscious memory bank, and is dragged into the conscious mind when needed, even decades later.
It is possibly true that major advances in science are a consequence of intuition. The scientist then spends a great deal of his time 'proving', or making sub-conscious intuition acceptable to reason. Reason uses only a fraction of the data available to Intuition.
Younger minds tend to confuse the spiritual (unprovable) with the man made business of religion in all its corruption and hypocrisy, which is probably why rejection of the unprovable among that group is higher than other groups.
Here is a question with which to test and clarify your reality.
" When you think of 'self ', does it mean more to you than just your body ?"
If your answer is 'no', then you are probably a genuine atheist. If the answer is ' yes ' then you have a belief that your mind is of a different substance / plane to your body. Most of humanity have this view, which I think is what underlies spirituality and religious belief. How else can we explain this sense, sometimes referred to as ' soul ', common to all religions ?
I cannot prove which is correct, only present the questions. The consideration moves into the realm of philosophy and science, which, put another way, to the realm of intuition and reason. In the end they may amount to the same thing if we ever understand all of the facts.
In the meantime we have intuition / reason to balance as we see fit.
Saturday, 13 July 2013
Space-Time - Illuminating some on-going Riddles
Measure as a
Function of Space-Time
(From work originally by D.B.Larsen, extended by M.J.Bull)
In the 4th
dimension there are considered by modern science to be 3 spatial and
1 time freedoms. Scalar motion
requires an interaction of space(s) and time(t), ( for example, speed
= distance / time). Space, as far as we know at present, has three
freedoms, which are length, width and depth. There
are therefore three scalar representations of motion: s1t,
s2t
and
s3t,
where s1
, s2
, s3
represent the three spatial freedoms, length, width, depth. These
's'
freedoms are not the same as vectors or vector sums which are one
dimensional expressions which require a frame of reference to have
meaning. In
conventional scientific notation, any motions which exist in the
other two freedoms cannot be represented, leading to a lack of
understanding of what represents mass and gravity.
Units of measure represented by space and time only are the most
fundamental, and, as Max Planck proposed, can substitute for any
other units we may have invented. Space-time units illuminate the
nature of some phenomena which are poorly understood in modern
science. The following is a summary of units of gravitation, mass,
mechanical, electrical and magnetic quantities by their space-time
units of measure. What is new, and illuminated by this analysis, is
that Mass is in fact a motion, an interaction between space
simultaneously in 3 freedoms, and time. Mass is reciprocal to
gravity, which is similarly a motion in 3 freedoms of space with
time. This view confirms prior reseach by M.J.Bull which has found
that the relationship of acceleration to inertia is reciprocal,
confirming scientific experiment over more than 4 centuries which has
not been able to disprove the fact that different masses accelerate
at the same rate in the same acceleration (gravity) field, otherwise
known as the Equivalence Principle.
GRAVITATIONAL
Gravitational
motion (a 3 freedom negative speed, s/t x s/t x s/t)
s3
/ t3
Mass
(resistance of gravitational motion to applied positive motion)
t3
/ s3
MECHANICAL
Speed
(distance [1
freedom of space]
divided by time)
[speed is not vectorial] s
/ t
Momentum
( mass x speed, t3/s3
x s/t = t2/s2
) a 2 freedom quantity t2
/ s2
Energy
( ½
mv2,
mass
x speed x speed, t3/s3
x s/t x s/t = t/s ) t
/ s
Acceleration
( speed divided by time, s/t x 1/t = s/t2
)
s / t2
Force
( mass x acceleration, t3/s3
x s/t2
= t/s2
) t
/ s2
Pressure
( force divided by area, t/s2
x 1/s2
= t/s4
) t
/ s4
ELECTRICAL
Electrical
Energy (watt.hours) [EMF]
t
/ s
Power
(watt) ( energy / time, t/s x 1/t = 1/s) [a unit of space and not
time] 1
/ s
Voltage
(volt) ( electrical force ) [ equivalent to force]
t
/ s2
Current
(amp) ( electric velocity ) [equivalent to speed]
s
/ t
Electrical
Quantity (coulomb) ( current x time, s/t x t = s ) [unit of space]
s
Resistance
(ohm) (voltage/current t/s2
x t/s = t2/s3)[no
mechnical equivalent] t2
/ s3
MAGNETIC
[Magnetism is a 2 freedom analogue of Electricity]
Magnetic
Potential (magnetic potential = force x 1 freedom t/s2
x t/s = t2/s3)
t2
/ s3
Magnetic
Field Intensity (t2/s3
x 1/s)
t2
/ s4
Magnetic
Permeability (μ)
t3
/ s4
From the foregoing space-time units, originally
proposed by D.B.Larsen, some deductions may be made regarding their
interaction.
1.
Energy x Momentum ( t/s x t2/s2
= t3/s3
) equates to the unit of Mass
2.Electrical
charge x Magnetic charge ( t/s x t2/s2
= t3/s3
) equates to the unit of Mass
3.Gravitational
motion ( s3/t3
) is the reciprocal unit of Mass ( t3/s3
)
4.
Energy ( t/s ) is the reciprocal unit of speed ( s/t )
5.
Acceleration can be expressed in N/kg ( t/s2
x s3/t3
= s/t2)
or Force x Gravity, or Force / Mass.
6.
Inertia (kg/N) (t3/s3
x s2/t
= t2/s)
is a reciprocal of Acceleration (N/kg) (t/s2
x s3/t3
= s/t2).
7.
The Equivalence Principle can be stated in space-time units as t2/s
x s/t2
= 1, or algebraically
a ί
= 1.
8.
Momentum (t2/s2)
is equivalent to Magnetic Charge (MMF) (t2/s2).
(Magnetic charge, unlike
electric charge, is
not considered to have a particle which is representative of this
quantity,
however its
existence is analogous to momentum in the mechanical equivalent
system.)
9.
The space-time unit illuminates the relationship between electricity
and magnetism, explaining
why the two are
co-existent and inter-changeable, both together making a t3/s3
whole. It leads to
speculation as to its
equivalent in the reciprocal unit s3/t3,
gravity. What is s2/t2, with its
complement s/t which is
current or speed ? S2/t2 is the reciprocal of
MMF in the magnetic or
momentum in the
mechanical system. It could be seen as speed (or current) in two
freedoms.
Not sure what that
means in terms of an observable phenomenum.
10.Space-time
units settle another debate, in that force and potential are the same
quantity with
the same units,
i.e. t/s2
is the same for both mechanical force and electric potential or
voltage.
Tuesday, 9 July 2013
Space-Time, Mass, Gravity, Electricity and Magnetism
The following is an extract from work by D.B.Larsen, the creator of the Reciprocal System (RS) theory, which is being further developed by researchers using later scientific understanding in an extension of Larsen's work, known as RS2. Much of Larsen's thinking accords with my own, and his skill at explanation is probably far better than mine. I believe this short extract makes a great deal of sense and provides a structured and logical explanation particularly of the relationship between space-time, mass, gravity, electricity and magnetism. Emphasis in the paper is mine.
The
Dimensions of Motion
Dewey
B. Larson
Now
that the existence of scalar motion has been demonstrated (in a
prior article), it will be appropriate to examine the consequences
of this existence. Some of the most significant consequences are
related to the dimensions of this hitherto unrecognized type of
motion. The word “dimension” is used in several different
senses, but in the sense in which it is applied to space it
signifies the number of independent magnitudes that are required for
a complete definition of a spatial quantity. It is generally
conceded that space is three-dimensional. Thus three independent
magnitudes are required for a complete definition of a quantity of
space. Throughout the early years of science this was taken as an
indication that the universe is three-dimensional. Currently, the
favored hypothesis is that of a four-dimensional universe, in which
the three dimensions of space are joined to one dimension of time.
Strangely enough, there does not appear to have been any critical
examination of the question as to the number of dimensions of motion
that are possible. The scientific community has simply taken it for
granted that the limits applicable to motion coincide with those of
the spatial reference system. On reviewing this situation it can be
seen that this assumption is incorrect. The relation of any one of
the three space magnitudes to a quantity of time constitutes a
scalar motion. Thus three dimensions of scalar motion are possible.
But only one dimension of motion can be accommodated within the
conventional spatial reference system. The result of any motion
within this reference system can be represented by a vector (a
one-dimensional expression), and the resultant of any number of such
motions can be represented by the vector sum (likewise
one-dimensional). Any motions that exist in the other two dimensions
cannot be represented.
Here
again we encounter a shortcoming of the reference system. In our
examination of the nature of
scalar
motion we saw that this type of motion cannot be represented in the
reference system in its true character. The magnitude and direction
attributed to such a motion in the context of the reference system
are not specifically defined, but are wholly dependent on the size
and position of the object whose location constitutes the reference
point. Now we find that there are motions which cannot be
represented in the reference system in any manner. It is therefore
evident that the system of spatial coordinates that we use in
conjunction with a clock as a system of reference for physical
activity gives us a severely limited, and in some respects
inaccurate, view of physical reality. In order to get the true
picture we need to examine the whole range of physical activity, not
merely that portion of the whole that the reference system is
capable of representing.
For
instance, gravitation has been identified as a scalar motion, and
there is no evidence that it is
subject
to any kind of a dimensional limitation other than that applying to
scalar motion, in general. We must therefore conclude that
gravitation can act three-dimensionally. Furthermore, it can be seen
that gravitation must act in all of the dimensions in which it can
act. This is a necessary consequence of the relation between
gravitation and mass. The magnitude of the gravitational force
exerted by a material particle or aggregate (a measure of its
gravitational motion) is determined by its mass. Thus mass is a
measure of the inherent negative scalar motion content of the
matter. It follows that motion of any mass m is a motion of a
negative scalar motion. To produce such a compound motion, a
positive scalar motion v (measured as speed or velocity) must be
applied to the mass. The resultant is “mv,” now called momentum,
but known earlier as “quantity of motion,” a term that more
clearly expresses the nature of the quantity. In the context of a
spatial reference system, the applied motion v has a direction,
Copyright
©
1985
by Dewey B. Larson
.
All rights reserved.
2
and
is thus a vector quantity, but the direction is imparted by the
coupling to the reference system and is not an inherent property of
the motion itself. This motion therefore retains its positive scalar
status irrespective of the vectorial direction.
In
the compound motion mv, the negative gravitational motion acts as a
resistance to the positive
motion
v. The gravitational motion must therefore take place in all three
of the available dimensions, as any one of the three may be parallel
to the dimension of the reference system, and there would be no
effective resistance in any vacant dimension. We
may therefore identify the gravitational motion as three-dimensional
speed, which we can express as s3/t3,
where s and t are space and time respectively.
The
mass (the resistance that this negative gravitational motion offers
to the applied positive motion) is then the inverse of this
quantity, or t3/s3.
Since
only one dimension of motion can be represented in three-dimensional
spatial coordinate system, the gravitational motion in the other two
dimensions has no directional effect, but its magnitude applies as a
modifier of the magnitude of the motion in the dimension of the
reference system.
We
now turn to a different kind of “dimension.” When physical
quantities are resolved into component quantities of a fundamental
nature, these component quantities are called dimensions. The
currently accepted systems of measurement express the dimensions of
mechanical quantities in terms of mass, length, and time, together
with the dimensions (in the first sense) of these quantities. But
now that mass has been identified as a motion, a relation between
space and time, all of the quantities of the mechanical system can
be expressed in terms of space and time only.
For purposes of the present discussion the word “space” will be
used instead of “length,” to avoid implying that there is a some
dimensional difference between space and time. On this basis the
“dimensions,” or “space-time dimensions” of one-dimensional
speed
are space divided by time, or s/t.
As indicated above, mass has the dimensions t3/s3.
The
product of mass and speed (or velocity) is t3/s3
× s/t =
t2/s2.
This is “quantity of motion,” or
momentum.
The product of mass
and the second power of speed is t3/s3×
s2/t2
=
t/s, which is energy. Acceleration,
the time rate of change of speed, is s/t × 1/t = s/t2.
Multiplying acceleration by mass, we obtain t3/s3
× s/t2
= t/s2,
which is force,
the “quantity of acceleration,” we might call it. The dimensions
of the other mechanical quantities are simply combinations of these
basic dimensions. Pressure,
for instance, is force divided by area, t/s2
× 1/s2
= t/s4.
When
reduced to space-time terms in accordance with the foregoing
identifications, all of the well-
established
mechanical relations are dimensionally consistent. To illustrate
this agreement, we may
consider
the relations applicable to angular motion, which take a different
form from those applying to translational motion, and utilize some
different physical quantities. The angular system introduces a
purely numerical quantity, the angle of rotation ς.
The time rate of change of this angle is the angular velocity ω,
which has the dimensions ω = ς/t
= 1/t. Force is applied in the form of torque, L, which is the
product of force and the radius, r. L = Fr = t/s2
× s = t/s. One other quantity entering into the angular relations
is the moment of inertia, symbol I, the product of the mass and the
second power of the radius. I = mr2
= t3/s3
× s2
= t3/s.
The following equations demonstrate the dimensional consistency
achieved by this identification of the space-time dimensions:
energy
(t/s) = L
ς
= t/s × 1 = t/s
energy
(t/s) = ½Iω2
= t3/s
× 1/t2=
t/s
power
(1/s) = Lω = t/s × 1/t = 1/s
torque
(t/s) = ½Iω2
= t3/s
× 1/t2=
t/s
3
The
only dimensional discrepancy in the basic equations of the
mechanical system is in the
gravitational
force equation, which is expressed as F = Gmm’/d2
, where G is the gravitational constant and d is the distance
between the interacting masses. Although this equation is correct
mathematically, it cannot qualify as a theoretically established
relation. As one physics textbook puts it, this equation “is not a
defining equation... and cannot be derived from defining equations.
It represents an observed relationship.” The reason for this
inability to arrive at a theoretical explanation of the equation
becomes apparent when we examine it from a dimensional standpoint.
The dimensions of force in general are those of the product of mass
and acceleration. It follows that these must also be the dimensions
of any specific force. For instance, the gravitational force acting
on an object in the earth’s gravitational field is the product of
the mass and the “acceleration due to gravity.” These same
dimensions must likewise apply to the gravitational force in
general. When we look at the gravitational equation in this light,
it becomes evident that the gravitational constant represents the
magnitude of the acceleration at unit values of m’ and d, and that
these quantities are dimensionless ratios. The dimensionally correct
expression of the gravitational equation is then
F
= ma, where the numerical value of “a” is Gm’/d2
.
The
space-time dimensions of the quantities involved in current
electricity can easily be identified in the same manner as those of
the mechanical system. Most of the measurement systems currently in
use add an electric quantity to the mass, length and time applicable
to the mechanical system, bringing the total number of independent
base quantities to four. However, the new information developed in
the foregoing paragraphs enables expressing the electrical
quantities of this class in terms of space and time only, in the
same manner as the mechanical quantities.
Electrical
energy (watt-hours)
is merely one form of energy in general, and therefore has the
energy dimensions, t/s.
Power
(watts) is energy divided by time, t/s × 1/t = 1/s.
Electrical force, or voltage
(volts) is equivalent to mechanical force, with the dimensions t/s2
. Electric current
(amperes) is power divided by voltage. I = 1/s × s2/t
= s/t.
Thus current is dimensionally equal to speed. Electrical
quantity(coulombs)
is current multiplied by time, and has the dimensions
Q
= I t = s/t × t = s.
Resistance
(ohms) is voltage divided by current, R = t/s2
× t/s = t2/s3.
This is the only one of the basic quantities involved in the
electric current phenomenon that has no counterpart in the
mechanical system. Its significance can be appreciated when it is
noted that the dimensions t2/s3
are those of mass per unit time.(1)
The
dimensions of other electrical quantities can be obtained by
combination, as noted in
connection
with the mechanical quantities. As can be seen from the foregoing,
the quantities involved in the current electricity are dimensionally
equivalent to those of the mechanical system. We could, in fact,
describe the current phenomena as the mechanical aspects of
electricity. The only important difference is that mechanics is
largely concerned with the motions of individual units or
aggregates, while current electricity deals with continuous
phenomena in which the individual units are not separately
identified. The validity of the dimensional assignments in
electricity, and the identity of the electrical and mechanical
relations, can be verified by reducing the respective equations to
the space-time basis. For example, in mechanics the expression for
kinetic energy (or work) is W = ½mv2,
the dimensions ofwhich are t3/s3
× s2/t2=
t/s. The corresponding equation for the energy of the electric
current is W =I2Rt.
As mentioned above, the product Rt is equivalent to mass, while I,
the current, has the dimensionsof speed, s/t. Thus, like the kinetic
energy, the electrical energy is the product of mass and the second
power of speed, W = I2Rt
= s2/t2
× t2/s3×
t = t/s. Another expression for mechanical energy is force times
distance, W = Fd = t/s2
× s = t/s. Similarly, relations of current electricity are likewise
dimensionally consistent, and equivalent to the corresponding
mechanical relations, when reduced to (1)
t3/s3
× 1/t = t2/s3
space-time
terms.
4
Identification
of the space-time dimensions of electrostatic quantities, those
involving
electric
charge, is complicated by the fact that in present-day physical
thought electric charge is not distinguished from electrical
quantity. As we have seen, electric quantity is dimensionally
equivalent to space. On the other hand, we can deduce from the
points brought out in the preceding article that electric charge is
a one-dimensional analog of mass, and is therefore dimensionally
equivalent to energy. This can be verified by consideration of the
relations involving electric field intensity, symbol E. In terms of
charge, the electric field intensity is given by the expression
E
= Q/s2
. But the field intensity is defined as force per unit distance, and
its space-time dimensions are therefore t/s2
× 1/s = t/s3.
Applying these dimensions to the equation E = Q/s2
,
we obtain
Q
= Es2
= t/s3
× s2
= t/s.
As
long as the two different quantities that are called by the same
name are used separately, their
practical
application is not affected, but confusion is introduced into the
theoretical treatment of the
phenomena
that are involved. For instance in the relations involving
capacitance (symbol C),
Q
= t/s inthe basic equation C = Q/V = t/s × s2/t
= s. The conclusion that capacitance is dimensionally equivalent to
space is confirmed observationally, as the capacitance can be
calculated from geometrical measurements. However, the usual form of
the corresponding energy equation is W = QV, reflecting the
definition of the volt as one joule per coulomb. In this equation, Q
= W/V = t/s × s2/t
= s. Because of the lack of distinction between the two usages of Q
the quantity CV, which is equal to Q in the equation C = Q/V is
freely substituted for Q in equations of the W = Q/V type, leading
to results such as W =C/V2,
which are dimensionally incorrect.
Such
findings emphasize the point that the ability to reduce all physical
relations to their space-time
dimensions
provides us with a powerful and effective tool for analyzing
physical phenomena. Its
usefulness
is clearly demonstrated when it is applied to an examination of
magnetism, which has been the least understood of the major areas of
physics. The currently accepted formulations of the various magnetic
relations are a mixture of correct and incorrect expressions, but by
using those that are most firmly based it is possible to identify
the space-time dimensions of the primary magnetic quantities.
This
information then enables correcting existing errors in the
statements of other relations, and
establishing
dimensional consistency over the full range of magnetic phenomena.
In
carrying out such a program we find that magnetism is a
two-dimensional analog of electricity. The effect of the added
dimension is to introduce a factor t/s into the expressions of the
relations applicable to the one-dimensional electric system. Thus
the magnetic analog of an electric charge, t/s, is a magnetic
charge, t2/s2.
The existence of such a charge is not recognized in present-day
magnetic theory, probably because there is no independent
magnetically-charged particle, but one of the methods of dealing
with permanent magnets makes use of the concept of the “magnetic
pole,” which is essentially the same thing. The unit pole strength
in the SI system, the measurement system now most commonly applied
to magnetism, is the weber, which is equivalent to a volt-second,
and therefore has the dimensions t/s2
× t = t2/s2.
The same units and dimensions apply to
magnetic
flux, a quantity that is currently used in most relations that
involve magnetic charge, as well as in other applications where flux
is the more appropriate term.Current ideas concerning magnetic
potential, or magnetic force, are in a state of confusion. Questions
as to the relation between electric potential and magnetic
potential, the difference, if any, between potential and force, and
the meaning of the distinctions that are drawn between various
magnetic quantities such as magnetic potential, magnetic vector
potential, magnetic scalar potential, and magnetomotive force, have
never received definitive answers. Now, however, by analyzing
thesequantities into their space-time dimensions we are able to
provide the answers that have been lacking.
5
We
find that force and potential have the same dimensions, and are
therefore equivalent quantities. The term “potential” is
generally applied to a distributed force, a force field, and the use
of a special name in this context is probably justified, but is
should be kept in mind that a potential is a force.
On
the other hand, a magnetic potential (force) is not dimensionally
equivalent to an electrical potential (force), as it is subject to
the additional t/s factor that relates the two-dimensional magnetic
quantities to the one-dimensional electric quantities. From the
dimensions t/s2
of the electric potential, if follows that the correct dimensions of
the magnetic
potential
are t/s × t/s2
= t2/s3
. This agrees with the dimensions of magnetic vector potential. In
the SI system, the unit of this quantity is the weber per meter, or
t2/s2
×
1/s = t2/s3
. (The corresponding cgs unit is the gilbert, which also reduces to
t2/s3
).
The
same dimensions should apply to magneto motive force (MMF), and to
magnetic potential
where
this quantity is distinguished from vector potential. But an error
has been introduced into the
dimensions
attributed to these quantities because the accepted defining
relation is an empirical
expression
that is dimensionally incomplete. Experiments show that the
magnetomotive force can be calculated by means of the expression MMF
= nI, where n is the number of turns in a coil. Since n is
dimensionless, this equation indicates that MMF has the dimensions
of electric current. The unit has therefore been taken as the
ampere, dimensions s/t. From the discrepancy between these and the
correct dimensions we can deduce that the equation MMF
= nI, from which the ampere unit is derived, is lacking a quantity
with the dimensions t2/s3
× t/s =
t3/s4
.
There
is enough information available to make it evident that the missing
factor with these dimensions is the permeability, the magnetic
analog of electrical resistance. The permeability of most substances
is unity, and omitting has no effect on the numerical results of
most experimental measurements. This has led to overlooking it in
such relations as the one used in deriving the ampere unit for MMF.
When we put the permeability (symbol μ) into the empirical equation
it becomes MMF
= μnI, with the correct dimensions, t3/s4
× s/t = t2/s3.
The
error in the dimensions attributed to MMF carries over into the
potential gradient, the
magnetic
field intensity. By definition, this is the magnetic field
potential divided by distance,
t2/s3
× 1/s = t2/s4
.
But
the unit in the SI system is the ampere
per meter,
the dimensions of which are s/t × 1/s = 1/t is incorrect.
In
this case, the cgs unit, the oersted, is derived from the
dimensionally correct unit of magnetic potential, and therefore has
the correct dimensions, t2/s4
.
The
discrepancies in the dimensions of MMF and magnetic field intensity
are typical of the confusion that exists in a number of magnetic
areas. Much progress has been made toward clarifying these
situations in the past few decades, both active, and sometimes
acrimonious, controversies still persist with respect to such
quantities as magnetic moment and the two vectors usually designated
by the letters B and H. In most of these cases, including those
specifically mentioned, introduction of the permeability where it is
appropriate, or removing it where it is inappropriate, is all that
is necessary to clear up the confusion and attain dimensional
validity.
Correction
of the errors in electric and magnetic theory that have been
discussed in the foregoing
paragraphs,
together with clarification of physical relations in other areas of
confusion, enables
expressing
all electric and magnetic quantities and relations in terms of space
and time, thus completing the consolidation of all of the various
systems of measurement into one comprehensive and consistent system.
An achievement of this kind is, of course, self-verifying, as the
possibility that there might be more than one consistent system of
dimensional assignments that agree with observations over the entire
field of physical activity is negligible.
6
But
straightening out the system of measurement is only a small part of
what has been accomplished in this development. More importantly,
the positive identification of the space-time dimensions of any
physical quantity defines the basic physical nature of that
quantity. Consequently, any hypothesis with respect to a
physical process in which this quantity participates must agree with
the dimensional definition. The effect of this constraint on theory
construction is illustrated by the findings with respect to the
nature of current electricity that were mentioned earlier.
Present-day theory views the electric current as a flow of
electric charges. But the dimensional analysis shows that charge has
the dimensions t/s, whereas the moving entity in the current flow
has the dimensions of space, s. It follows that the current
is not a flow of electric charges. Furthermore, the
identification of the space-time dimensions of the moving entity not
only tells us what the current is not, but goes on to reveal just
what it is. According to present-day theory, the carriers of the
charges, which are identified as electrons, move through the spaces
between the atoms. The finding that the moving entities have the
dimensions of space makes this kind of a flow pattern impossible. An
entity with the dimensions of space cannot move through space, as
the relation of space to space is not motion. Such an entity
must move through the matter itself, not through the vacant spaces.
This explains why the current is confined within the conductor, even
if the conductor is bare. If the carriers of the current were able
to move forward through vacant spaces between atoms, they should
likewise be able to move laterally through similar spaces, and
escape from the conductor. But since the current moves through the
matter, the confinement is a necessary consequence. The electric
current is a movement of space through matter, a motion that is
equivalent, in all but direction, to movement of matter through
space. This is a concept that many individuals will find hard to
accept. But is should be realized that the moving entities are not
quantities of the space with which we are familiar, extension space,
we may call it. There are physical quantities that are dimensionally
equivalent to this space of our ordinary experience, and play the
same role in physical activity. One of them, capacitance, has
already been mentioned in the preceding discussion. The moving
entities are quantities of this kind, not quantities of extension
space.
Here,
then, is the explanation of the fact that the basic quantities and
relations of the electric current
phenomena
are identical with those of the mechanical system. The movement of
space through matter is essentially equivalent to the movement of
matter through space, and is described by the same mathematical
expressions. Additionally, the identification of the electric charge
as a motion explains the association between charges and certain
current phenomena that has been accepted as evidence in favor of the
“moving charge” theory of the electric current. One
observation that has had considerable influence on scientific
thought is that an electron moving in open space has the same
magnetic properties as an electric current. But we can now see that
the observed electron is not merely a charge. It is a particle with
an added motion that constitutes the charge. The carrier of the
electric current is the same particle without the charge. A charge
that is stationary in the reference system has electrostatic
properties. An uncharged electron in motion within a conductor has
magnetic properties. A charged electron moving in a conductor or in
a gravitational field has both magnetic and electrostatic
properties.
It
is the motion of physical entities with the dimensions of space that
produces the magnetic effect.
Whether
or not these entities—electrons or their equivalent—are charged
is irrelevant from this
standpoint.
Another observed phenomenon that has contributed to the acceptance
of the “moving charge” theory is the emission of charged
electrons from current-carrying conductors under certain conditions.
The argument in this instance is that if charged electrons come out
of
a
conductor there must have been charged electrons in the conductor.
The answer to this is that the kind of motion which constitutes the
charge is easily imparted to a particle or atom
7
(as
anyone who handles one of the modern synthetic fabrics can testify),
and this motion is imparted to the electrons in the process of
ejection from the conductor. Since the uncharged particle cannot
move through space, the acquisition of a charge is one of the
requirements for escape.
In
addition to providing these alternative explanations for aspects of
the electric current phenomena
that
are consistent with the “moving charge” theory, the new theory
of the current that emerges from
the
scalar motion study also accounts for a number of features of the
current flow that are difficult to reconcile with the conventional
theory. But the validity of the new theory does not rest on a
summation of its accomplishments. The conclusive point is that the
identification of the electric current as a motion of space through
matter is confirmed by agreement with the dimensions of the
participating entities, dimensions that are verified by every
physical relation in which the electric current is involved. The
proof of validity can be carried even farther. It is possible to put
the whole development of thought in this and the preceding article
to a conclusive test. We have found that mass is a
three-dimensional scalar motion, and that electric current is a
one-dimensional scalar motion through a mass by entities that have
the dimensions of space. We have further found that magnetism is a
two-dimensional analog of electricity. If these findings are
valid, certain consequences necessarily follow that are extremely
difficult, perhaps impossible, to explain in any other way. The
one-dimensional, oppositely directed flow of the current through the
three-dimensional scalar motion of matter neutralizes a portion of
the motion in one of the three dimensions, and should leave an
observable two-dimensional (magnetic) residue. Similarly, movement
of a two-dimensional (magnetic) entity through a mass, or the
equivalent
of
such a motion, should leave a one-dimensional (electric) residue.
In as much as these are direct and specific requirements of the
theory outlined in the foregoing paragraphs, and are not called for
by any other physical theory, their presence or absence is a
definitive test of the validity of the theory. The observations
give us an unequivocal answer. The current flow produces a magnetic
effect, and this effect is perpendicular to the direction of the
current, just as it must be if it is the residue of a
three-dimensional motion that remains after motion in the one
dimension of the current flow is neutralized.
This
perpendicular direction of the magnetic effect of the current is a
total mystery to present-day
physical
science, which has no explanation for either the origin of the
effect or its direction. But both the origin and the direction are
obvious and necessary consequences of our findings with respect to
the nature of mass and the electric current. There is no independent
magnetic particle similar to the carrier of the electric current,
and no two-dimensional motion of space through matter analogous to
the one-dimensional motion of the current is possible, but the same
effect can be produced by mechanical movement of mass through a
magnetic field, or an equivalent process. As the theory requires,
the one-dimensional residue of such motion is observed to be an
electric current. This process is electromagnetic induction. The
magnetic effect of the current is
electromagnetism.
On
first consideration it might seem that the magnitude of the
electromagnetic effect is far out of
proportion
to the amount of gravitational motion that is neutralized by the
current. However, this is a result of the large numerical constant,
3 × 1010
in
cgs units (represented by the symbol c), that applies to the
space-time ratio s/t where conversion from an n-dimensional quantity
to an m-dimensional quantity takes place. An example that, by this
time is familiar to all, E=mc2,
is the conversion of mass (t3/s3)
to energy (t/s). In that process, where the relation is between a
three-dimensional quantity and a one-dimensional quantity, the
numerical factor is c2.
In the relation between the three-dimensional mass andthe
two-dimensional magnetic residue the numerical factor is c, less
than c2
but
still a very large number.
8
Thus,
the theory of the electric current developed in the foregoing
discussion passes the test of validity in a definite and positive
manner. The results that it requires are in full agreement with two
observed physical phenomena of a significant nature that are wholly
unexplainedin present-day physical thought. Together with the
positively established validity of the corresponding system of
space-time dimensions, this test provides a verification of the
entire theoretical development described in this article, a proof
that meets the most rigid scientific standard.
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