well welcome to our show I'm Doug Bundy
ah nothing's working right I don't know
what the big deal is it wouldn't start I
had to reboot the thing so we're a few
minutes late and then I tried to play
the intro little intro I've made but
that didn't show either but anyway
welcome to our show for what it's worth
we're here as the honest investigators
talk shop show i'm your host Doug Bundy
president of the Larson research center
where we are unveiling the universe of
motion today is Saturday January 9 2016
I announced in our inaugural show last
week that I'm presenting the lecture
that I promised to present nine years
ago at the end of lecture 2 entitled on
the coming revolution of fundamental
physics the videos of both lecture 1 in
lecture two that I presented back dinner
are available now on our YouTube channel
the lrc physics channel as well as on
our website at lrc physics dot-com we
encourage you to go there or watch and
subscribe and like and all that stuff
we're also on Facebook the lrc physics
page or group action actually I guess it
is but anyway there you can make
comments and we can talk about
these lectures I also explained last
week how that we here at the Larson
research center or the lrc refer to
Newtonian based program of the your
mainstream physics of theoretical
physics as we refer to that as a legacy
system of theory or the LST and the
vector based mathematics that it employs
is referred to as the legacy system of
mathematics or the lsm this not only
helps us distinguish between our system
of theoretical physics known as the
reciprocal system of physical theory and
our scalar based system of mathematics
known as the reciprocal system of
mathematics but of course it also makes
it much easier to refer to them so in
this part 1 of our series 2 entitled
today scalar mathematics for scalar
motion and scalar motion for scalar
physics we begin the journey of unifying
the lrc srst based scalar motion a
theory of physics with its RSM based
scalar number formulation of mathematics
now in order to do this kind of a
presentation I need to be able to do a
lot more with the buttons and stuff here
and so you'll have to bear with me
hopefully I'll be able to to make it
work but what I want to start with is a
presentation a hot came up that is in
PowerPoint and so then i'll use that and
i'll be able to mark on it and so on i
hope so i need to do a few things
here with this to get it to work right
there ok so you I'm not completely out
of the picture I'll put it right there
may be a little less alone totally
interfere with some of the slides and
then I think what I'll do is turn off
the lower third as well and that way
that won't cover up the bottom part of
the slide there ok so it's like a
whiteboard we've got here and this is
entitled again well it has to do this
whole series of lectures has to do with
a multi-dimensional scalar number system
which is kind of a oxymoron for normal
physicist and mathematician scalars
normally aren't thought of being
anything but zero dimensional but here
we see that the scalar mathematics for
scalar motion and scalar motion for
scalar physics is our program we've got
to have that in order to do as you will
see at the end of this presentation we
wouldn't be able to do it without it we
it's just a totally different approach
to physics then the mainstream there the
normal or what we call the LST the
legacy system of theory but without
going into the details I should point
out that the lrc scalar motion theory of
physics differs from Larson's own Theory
fundamentally although it's based on his
new system of theory that we call the
rst the reciprocal system of physical
theory the difference lies in the
understanding of multi-dimensional
skater motion it was Larsen's conclusion
the scalar motion includes rotation and
he bases theory from that point on on
rotation however we differ it's our
conclusion that scalar motion is
did to a change of scale or size only by
definition a rotation of a scalar
vibration is Larson conceived of it is
just in commensurate with scalar motion
as we define it for much more
information on this you can go to our
website lr LRC physics calm but as a
result LRC's Theory does not rotate
lower dimensional scalar motions and
then build these into higher dimensional
combinations as does Larson's theory but
rather it begins with fundamental
three-dimensional skater motions and
then builds these entities into
combinations of scalar motion as we will
see shortly recall that the first
fundamental postulate AR rst states that
the physical universe is composed
entirely is you can read here on this
first chart I hope it comes out very
well enough to read it but the physical
universe is composed entirely of one
component motion existing in three
dimensions in discrete units and with
two reciprocal aspects space and time so
when we see this uh we see that it
there's two fundamental postulates we'll
get to the second one later but this
first one was really quite I guess you'd
call real restrictive you know it really
states what is what the universe
consists of and we have to then deduce
what that means the implications of this
postulate so without going into a whole
lot of detail on it given this 3d motion
or uniform expansion of space and time
that it calls for in three dimensions we
get a perfect nothingness thereby
in this definition and for anything
there has to be a d for anything to
exist there has to be a deviation from
this perfect uniformity and laced larsen
concluded and we agree that the only
possible deviation from this one-to-one
progression of space and time is a
reversal in one or the other of the two
progressing aspects of the motion this
is a contentious point however for many
because they look for a mechanism to
cause the reversal but Larson's answer
was really philosophical anything that
can happen will happen he was his answer
this is easier to understand when we
represent the uniform progression
mathematically and that's then why we're
presently pursuing that end in the
equation of motion v equals DSR delta s
over delta T the unova lasa t is a
change of one unit of space for one unit
of time as can be seen right here on our
chart and then that's that I wrote here
Delta one is dealt a change of one unit
of space over one unit of time if the
change I mean if the change in the
numerator and the denominator on this
one-for-one basis is ever increasing
then the only way that a deviation from
unity can occur is a continuous reversal
from increasing to decreasing to take
place in one of the two reciprocal
aspects of the motion Larson was
seriously taken by this insight since he
knew from observation that a continuous
oscillation is just as permanent emotion
as a continuous uniform motion it's
something that we can observe in nature
and therefore deduce that its existence
in the theory is justified hence to
deviations from uniform motion or
possible one when the space aspect of
the uniform motion
oscillate at some point and the other
when it's time aspect may happen too in
terms of numbers these two possibilities
are easily represented by two reciprocal
ratios where s equals s over T is equal
to 1 over 2 and also then two over one
in the reciprocal case because um said
it takes one cycle of space oscillation
over one unit of space uh to it takes
two units of time see here and it would
if this is only we in this in this form
you'd have to think of this as one cycle
actually it's one half of a cycle but
but we'll look at that later think this
is one cycle taking two units of time
just as a swinging pendulum you can
think of going one way in one cycle of
time and then going the opposite way in
the next cycle of time and and then the
unusual thing is always the reciprocal
of that is where time is the cycling
here oscillating and space is it's
taking two cycles of space to do that so
uh so what we'll say then is since one
cycle of space so oscillation over one
unit of space takes two units of time
and one cycle of a time oscillation over
one unit of time I mean over one unit of
space takes two units of space so that
might be an unusual thing to think of in
terms of space reversing and oscillating
I mean that's easy to see but I'm doing
the same thing but giving us a
completely different velocity might be
very might cause a lot of people to perk
up and arch their eyebrows and what are
you talking about here but they're with
us we're going to see in larsons theory
the oscillations were back and forth
over one unit of one dimension but here
in the r lr sees the theoretical
development the oscillations are
volumetric pulsations if you will or 3d
oscillations one of space and one of
time these oscillations I cannot be
represented by the wave equation of
course which depends on the imaginary
square root of minus one the
mathematically formulate rotation in one
dimension that is it depends on the
square root of minus one to calculate
the position of a point on the
circumference of the unit unit circle
when physicists mathematicians figured
out how to do this they it now has
looked out upon as we'll see here in a
second in a video we're going to play I
was one of the most major and
significant accomplishments in the
history of physics so let's watch this
video it where it demonstrates this
fundamental formulation of rotational
motion where as the sine and cosine of
the angle changes the intersection of
the hypotenuse line of the right
triangle defined on a fixed coordinate
system with the circumference of the
unit circle moves along quite nicely as
long as one of the numbers is the
imaginary square root of minus one
designated with the letter I now Neil
turek he's the head of the perimeter
institute explains this in the video
now I want to introduce a more bizarre
mathematical character and it took
people 2,000 years to make the next
great leap in mathematics geometry was
pretty important with Pythagoras theorem
you could build pyramids and structures
and you know architects would wouldn't
make a living without Pythagoras theorem
but it took 2,000 years before the next
huge leap forward in mathematics and
that came about with this strange
character I so the problem was that
problem arose in solving equations
mathematicians like to solve equations
that's what they do so you write down x
squared plus 3x plus 2 equals 0 or or X
to the fifth plus X to the fourth so
they were busy in the 16th century
solving these equations in fact they had
competitions to solve equations and so
noble nobles would set equations and
then people would arrive and they would
work desperately for a couple of days
and the one who want who solved the
equation would win the prize so there
was a guy who at the time who discovered
that if he imagined a number whose
square was minus one then he could
actually solve lots of equations and he
kept the trick secret it wasn't
published for 20 or 30 years and then
finally word got out and and this number
I the imaginary number came into being
so it's a very strange thing it sounds
very counterintuitive how can I have a
number whose square is negative we all
drew in height we all learned in high
school you know number times itself two
negative numbers a negative number times
itself will give a positive number so
it's obviously not a negative number
it's not a real number at all it's an
imaginary number actually in my
inaugural lecture in Cambridge I
introduced this number and I didn't
really explain it
and my brother is an economist who
happen to be at the lecture and I talked
about imaginary things and he said to me
the end of lecture you know if you allow
yourself imaginary things I'm not
surprised you can do anything you know
but this imaginary number is very very
very precise there's no ambiguity about
it it's not a fiction as far as
mathematicians are concerned it's the
real deal this I now why because as soon
as you've introduced it you can solve
all equations ok so it's rather easy to
show I won't show it in detail with
rather easy to show using the concepts i
will describe that any possible equation
has a solution furthermore any equation
which say i wrote down x to the 23 plus
some number times x to the 22 and so on
equals 0 there will be 23 solutions of
that equation and that's rather easy to
see if somebody wants to ask a question
afterwards be happy to answer it's
called the fundamental theorem of
algebra so all of a sudden with this one
extra character in the game a problem
that it seemed impossibly complicated
and difficult because some equations
seem to have solutions some didn't have
solutions now all equations were on the
same footing and they all had solutions
it's an incredibly powerful simple idea
once people had now it relates to
Pythagoras theorem as follows once we
have the idea that you have this guy I
and you know this is this is this is a
very valuable idea it's not an iphone or
ipad and it really annoys me and when
that was branded as I because this is
the I ok I'm sorry this I will be here
for eternity I'm not sure about the
other one ok so we take the I now we are
going to enlarge
our space of numbers we have a number X
which could be any number from minus
infinity to infinity an ordinary number
and then we have another kind of number
which is a multiple of I so and we put
the two things together we say I'm going
to allow numbers which are have a real
part the X part and the imaginary part
which is the multiple of I ok so the
dimension suddenly I've gone two numbers
not being on a line there now in two
dimensions I can go along the line I can
also go in the I direction and so I can
go along X and up and why and and I get
this number X plus iy now one of the
most basic and important functions in
mathematics is the exponential function
we all know about Exponential's because
of inflation in prices that's a bad
thing if prices rise by ten percent per
year the prices are going to go through
the roof and they will follow exactly
this law if the x is 0 point one to
represent the ten percent growth per
year it will grow as e to the point one
where E is the number invented by oyler
Euler most brilliant mathematician in
the world in the 18th century so we know
about exponential growth it applies to
huge number of things so if you have
bacteria multiplying you know each
bacteria doubles every 20 minutes then
the population of bacteria will grow
exponentially compound interest many
many things follow this law in terms of
mathematics this is the simplest
solution to one of the simplest
equations which is that the derivative
of a function meaning the slope is equal
to the function so it's telling you that
how much the function will change as you
increase the go along in X the change in
the function is proportional in function
solution of that equation is this
exponential function
okay so it's a very basic function in
mathematics now it's not very good for
modeling the real world sometimes it's
good because sometimes really things do
go crazy okay but a lot of what happens
in the world is rather regular I mean
things don't just keep growing forever
but so oily who who invented this kind
of mathematics differential equations
and these functions decided what happens
if i exponentiate you see this is
exponentiating a real number said what
happens if i exponentiate this imaginary
number okay very natural question does
it also go through the roof well know
when you exponentiate the imaginary
number it goes round in a circle ok so
the exponential of an imaginary number
times theta where theta is a real number
it's an angle actually good it's an
angle here it gives you the
trigonometric functions cosines and
sines and if you remember your geometry
the cosine is this side / that and the
sign is decided by / that I've taken out
the scale I've just set the hypotenuse
to be one so you see the fact that the
exponential of an imaginary number gives
you a point on a circle and so as theta
runs this angle theta can can grow the
point is just going to go running around
a circle now that's like a lot of
natural phenomena so if something in
nature goes back and forth back and
forth it's going to be described by
mathematics like this whereas if it goes
one way and explodes it will be real
numbers okay so that's what oyler
discovered this formula here connects
differential equations which give you
Exponential's to algebra which gives you
I to geometry which gives you these ok
it's been called called the most amazing
formula in mathematics
um so I hope you're beginning to be a
little bit impressed with I okay there's
a lot of good stuff for you add very
little expense so let's let's see it in
action so here we are we have this
circle and I'm the angle is the angle
subtended by this pointer and as the
theta changes this e to the I theta is
running around and you can see its real
part is going backwards and forwards and
backwards and forwards and so if I use
that real part to model a wave which is
traveling which is also traveling
upwards as its amplitude is going back
and forth I get what we call a
sinusoidal wave so the wave is now
following this function which came out
of trigonometry through this
construction and it turns out this is
how nature works basically everything
that goes back and forth in nature can
be described in terms of functions which
which look look like this in particular
when Maxwell discovered the equations of
electricity and magnetism the
astonishing he discovery he made as a
consequence of figuring out the right
equations was that he could describe the
light and and here it is here's a light
wave the yellow arrows or the electric
field the blue arrows of the magnetic
field the pattern this field pattern
moves along in space at the speed of
light and Maxwell showed the known laws
of electricity and magnetism gave rise
to life and they predicted its speed and
it was correct within a few percent so
that I call the greatest discovery in
physics of all time to get out of some
completely different phenomena
electrical forces and magnetic forces
and figure out all the right equations
and lo and behold you not at you predict
light it's not just one thing you
predict you predict an infinite number
of things because it happens that the
equations Maxwell found don't tell you
the scale of the light because those
equations have no scale so you can take
a light wave and shrink it down to a
very short wavelength thing like an
x-ray or a gamma-ray or you can stretch
it up two huge radio wave which is
kilometers long the undulations are
kilometers long and they're it they're
identical as far as the equations go
they're all the same thing Maxwell's
equations have no scale and that means
they can be applied across all scales so
out of one equation you've predicted an
infinite number of phenomena and of
course people didn't even realize they
were radio waves before Maxwell's
equations these were realized as a
consequence of the equations they knew
about light okay and when they knew
there was an explanation for light the
natural thing today was maybe there's
some other ways and that's how radio
waves were discovered and that's why
people started to try to make radio
waves and communicate with radio waves
and so on so this is again one of one of
those simple ideas that turn out to have
incredible impact and universality in
fact would be fair to say that in
physics everything is a way everything
is a way well obviously the idea of
multi-dimensional scalar motion and
corresponding multi-dimensional scalar
numbers is going to be iconoclastic to
this established way of thinking in a
huge way if it ever makes any sense
everything is a wave they say but it may
appear that way but it's possibly a good
I are probably a good idea to define a
wave if you're going to say that
everything is away as for instance
that one dimensional wave may not be the
only kind of wave is there a
three-dimensional pulsation as a wave
the kind of thing that we're looking at
into if so how can we formulate the
expansion contraction oscillation in
three dimensions in a manner analogous
to rotation in two dimensions it's
really one is one-dimensional the others
three-dimensional one mu is a moving
point the other is a changing size so it
just it doesn't seem like there's any
way to connect the two systems unlike
the sine wave oscillation of the real
axis in the video we just watched with
the changing magnitude over time from
plus 1 2-1 and back describing the wave
over time the magnitudes along the x y&z
axis in the oscillating ball increase in
decrease simultaneously moreover because
these three magnitudes are scalar they
increase our decrease in two opposite
directions quote directions from the
array origin and at in the middle there
and each and they do this in each
dimension simultaneously as we're going
to see now in this next slide here and I
hope you can see that you might not be
able to read it but here we have the
axis of time going up just like he did
in a video but at time one here we see
an expansion from the center which is
the red dot out in both directions this
is a one dimensional expansion so that
the left side there would go to the
magnitude minus one and the and the
right side to positive 1 at the same
time so they they spread out you see
expanding out from the middle then at
time 2 we have two units on the left
two units on the right for a total of
four units and then six units when we've
got three and three at t3 and then at t4
we've got four and four and so on so
this is a quite a different motion this
is what we would call a one-dimensional
expansion of space and we've got one
unit increments in each of the two
directions there's you can see so if
it's space then an arse because in our
postulates there's no difference between
the properties of space in the property
of time they're just reciprocal of one
another so the properties of one are the
properties above the other now what I'm
trying to show here in these corners you
see a one-dimensional expansion shown
here and it's the same thing as shown up
here but it's the showing that there's
two numbers involved the first number
here on the left and then the right num
the second number on the right and we
see those numbers increasing from 12 to
23 24 on both sides of the of the center
point and the difference between them
starts off with two and then four six
eight and so on so this is this is a
totally different process than we're
used to it's too one-dimensional scalar
numbers in three dimensions now we're
going to see that there are are in three
dimensions there are three of these
going on orthogonal to one another here
i'm showing three it was too hard I mean
to was too hard to show three but you
can see that you've got two numbers in
each one of them and then if the z-axis
was showing you to have two more numbers
for a total of six one dimensional
numbers so
ah the idea here is getting into a realm
of of things that we haven't noticed or
we haven't encountered before but notice
also that there's no fixed coordinate
here we're not talking in terms of
anything but the expansion of a number a
scalar number and it's going up in value
from two to four to six to eight just as
a line would if it were growing so the
length of the 1d line increases in both
directions out so we would say that that
direction is out if as opposed to
another direction that would be in see
that's a different that's why we put the
word in quotes for in terms of the way
we're talking about it it's not the same
as the direction defined by Pythagorean
theorem on the unit circle as he was
showing like as if it were different
points in the compass rose the length of
the 1d line increases in both directions
out from the middle point it's not
moving so there is no concept of an
exposition or location needed and only
the magnitude of the length of the line
at a given point in time which is just
the sequence of numbers and highly
predictable we've seen how scalar
numbers with to reciprocal aspects
called rational numbers perfectly
represent three fundamental magnitudes
coming out of the first fundamental
postulate of the rst the first magnet
the first magnitude is unit skater
motion taking the form of space over
time which is velocity and normal change
of position motion but here is an
increase of space and an increase of
time 1 over 1 which can be plotted
graphically by plotting increasing time
along the vertical axis and increasing
space along the horizontal axis of n by
n grid of or thora orthogonal values
we are going to show next in this graph
the value the value of progression p the
progression of space and time consisting
of increasing space an increasing time
or one unit of space for each unit of
time proceeds uniformly along the black
diagonal line here with the arrows and
it proceeds uniformly along that line
see is this as one unit of space
increases in one unit of time increases
then we get by Pytha