Adapted for the Internet from:

Why God Doesn't Exist
In Mathematics, there is no
such concept as distance

    The fact that the mathematicians measure ‘distance’ with a tape at times and at others with a clock
    indicates that they are not in the habit of discriminating between space and time:

    " we can use a more convenient, new unit of length called a light-second. This is
       simply defined as the distance that light travels in one second. In the theory of
       relativity, we now define distance in terms of time and the speed of light" (p. 23)  [7]

    " When an object undergoes displacement from one location to another, the distance
       traversed divided by the time elapsed is called the speed of the object.  
       (Speed = Distance/Time) " (p. 77) [8]

    " The distance between two points is the length of a straight line between them.
       Distance is sometimes expressed in terms of the time to cover it... 'distance from
       A to B' is interchangeable with 'distance between A and B'. "  [9]

    [What incongruous mixture! The distance between two points is a length which
     is the time to cover the distance!]

    When a mathematician specifies that the distance is ‘10 meters’ he is not referring to the empty space
    that separates two objects in the present. He is referring to the length of the real or imaginary tape that
    he just finished stretching between them. He is talking about something that happened in the past:

    " Displacement is a vector quantity which expresses the length and direction of a
       straight line from one place to another as opposed to the scalar quantity distance
       which expresses only the length. The SI unit for either distance or displacement is
       the meter." [10]

    As far as the mathematician is concerned, he has to unroll the tape whether he measures length or
    distance or displacement, so what the hell is the difference? To a mathematician, length, distance, and
    displacement are all the same. They are dynamic parameters, just numbers followed by units. In fact, it
    must be so in Mathematics! This discipline has no use for static concepts like the genuine length and
    distance of Physics. Unlike Physics, Mathematics is exclusively a dynamic field of study.

    Thus, the words length and distance of Mathematics are wolves in sheep's clothing. These words
    represent quantitative displacements. When a mathematician talks about length, or about distance, or
    about displacement, he is really counting tick marks on a clock. He is logging the rate at which he
    places tiles on a floor. In the idiotic religion of Mathematical Physics, length, distance, and distance-
    traveled are movies of something in motion (Fig. 1). That is why the mathematician alludes to a
    mathematical expression to specify and define distance:

    " the distance between two points of the xy-plane can be found using the distance
       formula" [11]

    An equation or function is a recipe that always gives you a single point. If you want to see a trend, you
    must replace the variables with different numbers. When a mathematician says that an equation
    depicts a distance, he is in effect asking you to replace the variables with numbers. He is talking about
    motion, about plotting 'points' on a chart, and not about a static gap that separates two objects. He is
    talking about 'proving; the definition of distance. Without a director or testimony or a video camera,
    Mathematical Physics is dead!

    So what do any of these definitions have to do with length and with the distance they just defined?
    What do these definitions have to do with Physics or with Science?

    Do not be misled by the 'scientific' sounding words. Make no mistake about it. These definitions
    belong in religion. They certainly are not 'rigorous.'

    ________________________________________________________________________________________


     Home                    Book WGDE                    Glossary                    Extinction   

    Last modified 05/17/08


        Copyright © by Nila Gaede 2008

Fig. 2   Distance versus displacement
I'm trying to measure
the length of my land. I
think it is 843 jugs long!

    Therefore, whenever the morons of Mathematics utter the word distance, they are not referring to what
    the layman understands by distance. They are not talking about a snapshot of the empty space
    between their ears. They are talking about a film of a measurement. They are asking you to watch a
    movie of a tiny object streaking across the screen. The 'distance' of Mathematics requires an
    observer. It requires a conscious witness to remember the initial location of the object and to compare
    it against the ending location. The 'distance' of Mathematics is naught without memory. The
    mathematical distance is not a photograph (distance between TWO objects), but a movie (a series of
    locations of ONE object) (Fig. 2). The common wisdom in Mathematical Physics is that everything can
    be reduced to measurement and measurement is, of course, depicted with a line:

    “Motions can be represented as lengths”  [12]

    That's how a displacement became a distance, which became a length, which became a line, which is
    really a point traveling from here to there. The mathematicians have blended so many irreconcilable
    concepts into their strategic definitions that these have become meaningless. The 'scholars' can
    explain anything with them and understand nothing.

Fig. 1   Math versus Physics
In Physics, length and distance are conceptually qualitative and static. We can freeze length and
distance in a single photograph. Both length and distance invoke TWO surfaces. We may
tentatively draw length and distance with solid lines to indicate that the image invokes a single
frame of the movie: a photograph. We draw TWO arrowheads at the ends of each of these lines
to indicate that length and distance extend between TWO surfaces. In this manner we don't lose
sight of the true meanings of these avatars and do not confuse them for the concepts they
represent.
In Math, length and distance are the distances traveled by the leading edge of a tape, the arm of
a clock, or another device used in the dynamic measurement process. The mathematician is
comparing the final location of ONE object against its now imaginary starting location. The
lengths and distances of Mathematics are expressed in terms of predefined units. We draw
distance-traveled with dotted, dashed, or segmented lines to indicate that we are pondering a
movie of a single object. The dots and dashes represent frames of the film. We draw ONE
arrowhead at the end of the line to indicate that only ONE object is involved.

Fig. 2
In Physics, distance is the (static)
separation between two surfaces.
You can only visualize this separation
laterally (horizontal distance).In contrast,
the distance-traveled of Mathematics is a
movie. The kinetic distance of Mathema-
tics consists of a stack of cards that an
observer fans in order to visualize motion
and can only be imagined in the direction of
travel. Conceptually, distance- traveled is
surrealistic because the mathematician is
attempting to sew from the present location
of the object to its imaginary initial location
through a stack of frames comprising the
movie. The object at its initial location
requires memory. There is no real object
there any more.   The mathematical
definition is unscientific because it cannot
be used consistently.

    2.0   Corollaries

    The establishment has never found a need to develop physical notions of length, distance, and
    displacement or to highlight their qualitative differences. The mathematicians have developed only
    subjective, measurement-related definitions of these terms. This explains, for example, why the
    ridiculous  Uncertainty Principle is still around in Quantum Mechanics. To a mathematician, the
    distance along the x-axis (what the idiots call 'position') is no different than if the particle would have
    traveled the same 'distance' (what they call 'momentum'). In QM, position is a dynamic parameter! In
    Mathematical Physics the word position means motion! There are no static concepts such as the
    genuine, qualitative location and position of Physics in Mathematics.

    Just as incongruous, relativists have taken the dynamic concept 'event' and converted it into a static
    object: an 'infinitesimal' dot (meaning, a location)! In Mathematical Physics, position means an event
    and an event is a position.


    3.0   Conclusions

    The mathematicians have utterly confused a static separation between TWO objects with the dynamic
    itinerary traced by ONE object. The mathematicians had no alternative but to use the definition of
    distance-traveled because they have always been in the business of measurement and measurement
    is a dynamic activity. The mathematician must roll out the tape and make a comparison with pre-
    established units. The distance of Mathematics is not a static, qualitative, spatial gap between two
    points. It is a magnitude measured in meters (number of tiles) or meters/second (rate at which the tile
    layer lays tiles). The mathematician first defines a standard such as the meter and then lays these tiles
    from one wall to another. For the last 3000 years, the idiots of Mathematics have not only mistaken
    length for distance but then also confused separation (what is) with motion and time (what an
    observer measures). The distance-traveled notion of Mathematics is unscientific because it cannot be
    used consistently in a dissertation.
You see, Bill, at
Cambridge, we measure
length with a clock.
Mathematical 'length'

    1.0   Mathematicians don't use what they defined

    The mathematicians are famous for defining words very inadequately and then discarding what they
    defined and using something else during their presentations. The mathematicians begin their
    presentation by defining distance as length and length as distance. However, they don't use either of
    these notions anywhere in their presentations. What they use is distance-traveled, the itinerary of the
    leading edge of a measuring tape:

    “ Distance is a numerical description of how far apart things lie. In physics or
       everyday discussion, distance may refer to a physical length, a period of time,
       or an estimation based on other criteria (e.g. “two counties over”). In
       mathematics, distance must meet more rigorous criteria.”  [1]

    [Surely, you jest! The authors didn’t get anything right! Distance is not a numerical
     anything, it is not a length, it is not a period of time, and it is not an estimate. Where
     do the bozos who write in the Wikipedia go to school anyway? Harvard? But more
     offensive is the unjustified claim that Mathematics has rigorous definitions.]

    “ distance: For a particle with initial position x0, speed v, and acted upon by a
       constant acceleration a, the position as a function of time t is given by
       x = x0 + v0t + at2/2. The distance fallen under uniform acceleration a in order
       to reach a speed v is given by x = v2/2a.” [2]

    [This is the definition of distance? An equation? The morons of Mathematics don't
     define distance. They ‘prove’ the definition by running a test! The mathematicians
     are saying that you must accelerate a particle to know what distance is.]

    “ Whereas distances are always positive in Euclidean spaces, the distance
       between any two events in spacetime (called an ‘interval’) may be real, zero, or
       even imaginary. The spacetime interval quantifies this new distance (in
       Cartesian coordinates x,y,z,t)” [3]

    [Positive distance? Zero distance? Imaginary distance? The distance between
     two events? I wonder what the distance is between butt-scratching and nose-
     picking, two events that are happening right now over here!]

    “ Minkowskian ‘distance’ measured along the world-line describes the time that
       is actually experienced by that particle.” (p. 207)  [4]

    “ Time is the longest distance between two places.” [5]

    [Distance is time? So what is the distance between 2 a.m. and 3 p.m.?]

    “ The distance between two points on a number line…is the absolute value of the
       difference between their coordinates”  [6]

    [The distance on a number line? So what is the distance between the numbers
     4 and 7?]
Whatcha doin',
Newt?