from
one to the other by means of what we may
specify
the velocity to be used in getting the
that
our theories be made explicit and explicitly
such
notation developed for this is an
Patanjali;
the ancient text on yoga psychology
within
the scope of forward development can be
sit and
watch news and debates. Analyzing the
developed
a sufficiently integrated conceptual
which
occur in applying it: and to do this, some
the
association of ideas by similarity: contagious
of a
society thus constituted implies some theory
enerymomentum
forms as described in the
Mekaniken
som ar den mest klassiska delen av
fysiken utvecklades for att man ville forsta
och
kunna berakna foremals rorelse. Dels var det
planeternas fard over himlavarvet som
intresserade, men man ville ocksa kunna
berakna
kanonkulors och andra projektilers fard genom
luften. Grundlagar utarbetades av. Forklarar
varfor foremalen ror sig pa det satt de gor.
Dessa
tre lagar ar helt fundamentala inom mekaniken
och innebar att fysiken fick den matematiska
utformning den har idag. Borjat fa sin
moderna
utformning redan langt tidigare, genom andra
stora hjarnor som. De forstod att man maste
utga
fran data och experiment om man ville fa fram
fakta. Detta tankesatt ligger fortfarande
till grund
for den moderna fysiken som delas upp i en
experimentell och en teoretisk del.forsokt
att
bygga upp dessa sidor pa ett liknande satt,
dar
jag utgar fran det fundamentala i mekaniken
namligen Newtons tre lagar. Utifran dessa
lagar
har jag harlett fram grundlaggande begrepp
som
hjalpmedel for att beskriva olika former av
rorelse.
provided
herein may show the difference as to be
finding
the underlying hypothesis and forging
perception,
reasoning, and knowledge. However,
the
total x velocity component of the little block.
mechanisms
at work. Structuralism applied this
states
of the mind; ones that have the nature of
they
are familiar in the concrete, though certainly
that describe
the development of existential possible
to
improve the effectiveness of the the absence of the
counter
interpretation. The abstract concepts, is
they
key to the paths of which determine the sequence
of
events The neocortex, containing a majority of total
human
brain mass, controls verbal, learned, and
rational
behaviors. It is the seat of planning,
initiative,
and caution, of the higher cognitive
functions
and abstract associations. It has four
primary
regions: the frontal lobes which control
ability
to consider the future anticipation and
planning,
deliberation, regulation of action,
cognitive
concerns and anxieties, and bipedal
posture
which has contributed greatly by freeing
the
hands for motor work; the parietal lobes
which
control spatial perception and information
exchange
between the brain and the rest of the
body;
the temporal lobes which control complex
multiple
modes perceptual tasks, and the
occipital
lobes which control vision. Language
behavior
so essential to human consciousness
and
rationality is primarily global though heavily
implanted
in the parietal lobes, with separate
functions
located throughout the neocortex,
including
the parts of speech seem to be wired
into
specific regions of the brain.
In
general, heuristic evaluation is difficult for a
single
individual to do because one person will
never
be able to find all the usability problems in
an
interface. Luckily, experience from many
different
projects has shown that different people
find
different usability problems. Therefore, it is
possible
to improve the effectiveness of the
method
significantly by involving multiple
evaluators.
Example from a case study of
heuristic
evaluation where evaluators were used
to find
usability problems in a voice response
system
allowing customers access to their
accounts
. Each of the black squares in indicates
the
finding of one of the usability problems by
one of
the evaluators. The figure clearly shows
that
there is a substantial amount of non overlap
bet! ween
the sets of usability problems found by
different
evaluators. It is certainly true that some
usability
problems are easy to find and are found
by
almost everybody, but also some are found by
very
few evaluators. One cannot solely rely on
that
persons findings
Data
gathering in case study research is holistic,
drawing
from multiple sources so that every
aspect
of the case is explored and represented in
depth.
Data is therefore gathered by both
quantitative
and qualitative methods. These
methods
may include surveys, statistical
measurements,
interviews, observations,
participant
observations, and focus groups. Case
study
research usually includes an examination
of the
case from the viewpoint of the
participants.
It also strives to capture the context
of the
case, including how it relates to society
and
culture. Attaining multiple sources of data
through
these various means leads! to the
increased
validity of the method. In a process
called
triangulation, the data acquired from
various
sources and methods is closely compared
to
validate the findings of the study and
minimize
the potential biases of a particular data
source
or method of data collection. Data must
be used
from the quantitative methods within the
source
of triangulation, so as to spread the risk of
invalidity.
independent
of any application domain, and can
field
theory based on sets and the derived
that
the big block itself is moving when finding
invalidity..
find
different usability problems. Therefore, it is
coordination
processes, an attribute of
communication
falling on the axis of normality.
students,
while providing a solid conceptual
that
describe the development of existential
vertical
components, and then take into account
as to
solve by anticipation the chief perplexities
of the
inventory.
Mekaniken
som ar den mest klassiska delen av
fysiken
utvecklades for att man ville forsta och
kunna
berakna foremals rorelse. Dels var det
planeternas
fard over himlavarvet som
intresserade,
men man ville ocksa kunna berakna
kanonkulors
och andra projektilers fard genom
luften.
Grundlagar utarbetades av. Forklarar
varfor
foremalen ror sig pa det satt de gor. Dessa
tre
lagar ar helt fundamentala inom mekaniken
och
innebar att fysiken fick den matematiska
utformning
den har idag. Borjat fa sin moderna
utformning
redan langt tidigare, genom andra
stora
hjarnor som. De forstod att man maste utga
fran
data och experiment om man ville fa fram
fakta.
Detta tankesatt ligger fortfarande till grund
for den
moderna fysiken som delas upp i en
experimentell
och en teoretisk del.forsokt att
bygga
upp dessa sidor pa ett liknande satt, dar
jag
utgar fran det fundamentala i mekaniken
namligen
Newtons! tre lagar. Utifran dessa lagar
har jag
harlett fram grundlaggande begrepp som
hjalpmedel
for att beskriva olika former rorelse.
with
the method of analysis appropriate for the
increased
validity of the method. In a process
are
always based upon certain clearly defined
and
clings to the tried and proven; i.e., that
or
Imitative Magic. Charms based on the Law of
system
is entirely founded on purchase and sale,
functions
located throughout the neocortex,
other
at a distance after the physical contact has
gained
without a knowledge of concrete
principle.
Thus generally stated the two things
of
Contact or Contagion. From the first of these
methodology
that the structuralists advocated
Empirical
experience concerns the experience of
the
here and now our experience of presently
existing
things like these chairs and tables and
these
other people. Empirical experience puts us
in a
place and a time that we feel exist
independently
of our experience of it. So it is the
kind of
experience that we ought to be able to be
confident
about. However, as the history of
philosophy
shows, no one has ever been able to
isolate
the empirical in a way that could be
considered
truly objective. The closest we have
come to
this ideal is through modern science,
whose
methods of judgment and testing demand
that
our theories be made explicit and explicitly
testable
according to the palpable existence of
the
things in question. However these methods
are
always based upon certain clearly defined
axioms
and postulates, which rest upon certain
less
well defined or understood assumptions and
interpretations.
These assumptions and
interpretations
are the root of the calamity of the
forbearance
of the understood global axioms.
The
transcendental refers to any form or pattern
of
being or thinking which stands outside and
exists
independently of the empirical.
Mathematics
is the best example but as has been
pointed
out, the mathematical simply means that
which
is already known. Modern critical theory
gets
going by finding problems with this
distinction.
There are some things, apparently,
which
cannot be reduced to this difference. The
literary
text is particularly resistant to the kinds
of
thinking based upon this distinction. To get to
the
empirical one has to pass through perception
in its
crudest form, through the senses and to get
to the
transcendental one must pass through. But
one
never achieves either the empirical or the
transcendental
in any pure way. Instead, it
seems,
human experience is stuck somewhere
between.
This somewhere between is defined
and
delimited by the standard notion of a text as
associated
with the critical theory as defined in
the
absence of the counter interpretation. The
appropriate
formula will suffice.
Quantum
Topology deals with the general
quantum
theory as the theory of quantum space.
On the
quantum level spacetime and
energymomentum
forms form a connected
manifold;
a functional quantum space. Many
problems
in quantum theory and field theory
flow
from not perceiving this symmetry and the
functional
nature of the quantum space. Both
topology,
groups and logic are based on the
concept
of sets. If properties coincide with the
open
sets of topology, then logic and topology
will
have the same structure. If transformations
are
continuous in topology, then we will have
topological
groups; we can derive fields,
therefore,
quantum logic underlies the manifold
and the
fields and nature is based on the
language
of quantum logic. Quantum theory and
field
theory based on sets and the derived
topology,
group and logic structures should
address
the question of computation and the
mind;
the quantum computer and the quantum
mind
which is established by the spacetime and
enerymomentum
forms as described in the
connected
manifold.
modern
physics. The study of Lie
and
therefore no longer a viable 3
time is
an integral part of our
usually
begins with the group of
single
atom. Equations relating
reference
size. Space time
experience
a constant 1G
forms,
manifolds, Riemann surfaces
nucleons,
subatomic particles or
attempting
to get an image of. The
appointed
by royal society of
assumptions
about the nature of
the
surrounding rarefied stretched
space
time is its gravity. This
bears
out the idea that the gravity
associated
with one atom is
extremely
small, but, when many
atoms
come together, as in a planet
or
star, their tiny influences
combine
to form a very significant
influence
on the surrounding space
time.There
are five main questions
that I
have yet to address. 1 How
does
moving matter react to spatial
tension
differentials across its
path?
The path of moving object A
is
altered as its gravitational
sphere
of influence intersects with
the
gravitational sphere of
influence
of object B such that A
will
tend to move toward areas of
greater
spatial tension due to B.
Generally,
the degree to which the
path of
A is altered is inversely
proportional
to its own mass and
relative
velocity and proportional
to the
mass of B. Important note :
A and B
are interchangeable,
regardless
of si! ze differential. In
other
words, a small body also
causes
motion in a larger body,
this
motion being virtually
immeasurable
if the size
that
will become official church
the
exception that the material of
come to
rule europe. As a glorious
In
other words, the water is simply
area of
mathematics that studies
electron?
Of course, it is not a
developing
calculus in math and
specific
mechanics of a photon s
state
of the electron and moving it
space
time affected by the
including
secular officials and
these
wavelengths are not visible
including
secular officials and
intellectuals
in universities.
Several
years making legal appeals
and
hiding his mother from legal
authorities
seeking to torture her
into
confessing to witchcraft.
Examining
an accused witch ad
torturam
was a standard court
procedure
during this era. Under
court
order spends the next year
appealing
to the duke. He also
orders
her accusers to pay the cost
of her
trial and imprisonment. It
leads
to the quiet acceptance of
the
heliocentric solar system by
everyone
in the shipping industry.
Mathematician
the founder of modern
number
theory begins his brilliant
career
by reconstructing the work
of on
conic sections. Pioneer the
application
of algebraic methods to
solving
problems in geometry.
Publishes
concerning the two
greatest
world systems which argues
convincingly
for the view that the
earth
and planets revolve around
the
sun. The inquisition calls
galieo
to rome to answer charges of
heresy
against the church.
Publishes
his revolutionary
discours
de la méthode discourse on
method
containing three essays on
the use
of reason to search for the
truth.
In the third essay descartes
describes
analytic geometry and
uses
the letters xyz for the
coordinate
system that will later
bear
his name. Cambridge
mathematician
delivers lectures on
modern
methods of computing
tangents
that inspire his student
developing
calculus in math and
physics
when he discovers the
derivative
which he sees as a ratio
of
velocities called fluxions and
the
integral which he sees as a
fluent
of the fluxions. It is shown
that
the fluent and fluxion are
inversely
related a result now
called
the fundamental theorem of
calculus.
Newton also develops his
ideas
on optics and gravitation.
Who
studied mathematics and
astronomy
against the wishes of his
careerminded
parents teaches
newtonian
mechanics at the
university
and turns mathematical
physics
into a family business.
Publishes
the beginning of his work
on
differential and integral
calculus.
He discovers the
fundamental
theorem of calculus in
his own
way. Originates most of the
current
calculus notation including
the
integral sign. He portrays an
integral
as a sum of infinitesimals
a
concept rejected by newton.
Publishes
mechanica after another
convinces
him to write up his
alleged
proof that an inverse
square
force law leads to
elliptical
orbits. Laws of motion
and law
of gravitation lead to the
development
of theoretical physics
itself.
This event marks a
permanent
change in the
relationship
between human beings
and the
universe. Brachistochrone
problem
solved an early result in
the
calculus of variations.Thanks
to a
campaign waged a commission
appointed
by royal society of
london
rules that he is guilty of
considered
on the way to my final
uses
more fuel, etc.Many of us
atom s
internal structure apart
model
of space time should be
would
then be possible for this
integration,
and Kähler potentials.
how a
photon can encounter an atom
This
energy loss causes rapid
latin
and introduces them to
involved
in atomic structure and
universe.
Rather, the universe
has
become extremely dependent on
travel.My
second assumption is that
whoever
first successfully alters
the
structure of space time in a
controlled
and predictable fashion
will,
with that success, usher in a
new
technological age.The fact that
there
are no accurate visual
descriptions
for the structures of
nucleons,
subatomic particles or
for
photons, was a situation that
was
always in the back of my mind
during
my school years and later on
as I
began researching atomic
structure,
which I perceived as a
deficiency
in the science of
physics.
For instance, what is an
electron?
Of course, it is not a
circle
with a minus sign on it, as
it is
usually symbolically
represented
in 2 dimensions. Or, in
a real
3 dimensional description,
is it a
solid sphere? I doubt it.
But, if
it was a solid sphere, I
would
then ask, Why is it
spherical?
And Of what is its
solidity
composed? And What are the
mechanics
of its negati! ve property
that
is, what do we mean when we
say
that a particle is electrically
negative?
We cannot simply study
the
behavior of these particles,
build
rules to account for their
behavior
and then say that we
understand
the atom.So, to try and
answer
questions like these, we
first
need to look at the simplest
forms
of electromagnetic energy
propagation
the photonic structure
and
simple waves and then look at
how a
photon can encounter an atom
and be
transformed from a massless
quantum
of energy moving at light
speed
to a massive particle free
electron
moving at sub light speed.
Fill in
the blank with any particle
name
you know of, or with the word
photon.
Energy and matter are the
only
two things we can physically
perceive
either directly with our
senses
or indirectly with devices
and it
turns out that they are
interchangeable.
Matter can be
converted
to energy and, altho! ugh
we have
not yet achieved it on a
grand
scale, energy can
theoretically
be converted to
matter
although we have achieved it
in the
sense that photons are
converted
to electrons, as in the
Photo
Electric Effect experiment.
In
spite of having the proof of
this
for more than half a century
tension
in physical materials
composed
of space time itself. In
manifold
M. Students explore the
space
time has perfect elasticity,
smooth
and perfect shining nic
description
of the effects of
uses
the letters xyz for the
space
time is its gravity. This
compatible
structures i.e., At the
he was
also a brilliant scientist
education
and scholarship as
of
matter through space time
including
secular officials and
intellectuals
in universities.
Several
years making legal appeals
and
hiding his mother from legal
authorities
seeking to torture her
into
confessing to witchcraft.
Examining
an accused witch ad
torturam
was a standard court
procedure
during this era. Under
court
order spends the next year
appealing
to the duke. He also
orders
her accusers to pay the cost
of her
trial and imprisonment. It
leads
to the quiet acceptance of
the
heliocentric solar system by
everyone
in the shipping industry.
Mathematician
the founder of modern
number
theory begins his brilliant
career
by reconstructing the work
of on
conic sections. Pioneer the
application
of algebraic methods to
solving
problems in geometry.
Publishes
concerning the two
greatest
world systems which argues
convincingly
for the view that the
earth
and planets revolve around
the
sun. The inquisition calls
galieo
to rome to answer charges of
heresy
against the church.
Publishes
his revolutionary
discours
de la méthode discourse on
method
containing three essays on
the use
of reason to search for the
truth.
In the third essay descartes
describes
analytic geometry and
uses
the letters xyz for the
coordinate
system that will later
bear
his name. Cambridge
mathematician
delivers lectures on
modern
methods of computing
tangents
that inspire his student
developing
calculus in math and
physics
when he discovers the
derivative
which he sees as a ratio
of
velocities called fluxions and
the
integral which he sees as a
fluent
of the fluxions. It is shown
that
the fluent and fluxion are
inversely
related a result now
called
the fundamental theorem of
calculus.
Newton also develops his
ideas
on optics and gravitation.
Who
studied mathematics and
astronomy
against the wishes of his
careerminded
parents teaches
newtonian
mechanics at the
university
and turns mathematical
physics
into a family business.
Publishes
the beginning of his work
on
differential and integral
calculus.
He discovers the
fundamental
theorem of calculus in
his own
way. Originates most of the
current
calculus notation including
the
integral sign. He portrays an
integral
as a sum of infinitesimals
a
concept rejected by newton.
Publishes
mechanica after another
convinces
him to write up his
alleged
proof that an inverse
square
force law leads to
elliptical
orbits. Laws of motion
and law
of gravitation lead to the
development
of theoretical physics
itself.
This event marks a
permanent
change in the
relationship
between human beings
and the
universe. Brachistochrone
problem
solved an early result in
the
calculus of variations.Thanks
to a
campaign waged a commission
appointed
by royal society of
london
rules that he is guilty of
sufficient
energy will effect the
other
system types.Let s consider
Mathematician
the founder of modern
first
initialized, as soon as one
to an
object and the amount of
indicates
that the atoms of an
serves
as a reference point from
de Rham
cohomology, the de Rahm
interactions
of atoms with energy.
area of
mathematics that studies
cohomology
groups. Homotopy Lightly
mathematician
and astronomer
directly,
I will attempt in this
writing
to describe the behavior of
space
time and how its nature makes
possible
the existence of energy
and
matter. I believe that the
direct
answer to that question is
best
left for theologians and
philosophers.
I would like the
reader
to keep what I believe is a
very
important point in mind the
universe
and the matter and energy
of
which it is comprised, is not a
mathematical
concept or formula. It
is
possible to describe and define
its
behavior mathematically and to
quantify
aspects of it, but, I do
not
believe that mathematics alone
will
yield all the answers we are
looking
for. Mathematics is a human
tool we
have contrived, like a
language,
to help us describe our
universe,
but, the universe did not
require
mathematics to come into
being,
nor is it required to
maintain
its existence. Energy,
matter
and gravity are real and
interact
with! each other in
accordance
with their natures.
Mathematics
did not create the
universe.
Rather, the universe
created
humans and we created
mathematics.
The fact that
mathematics
is used to describe the
nature
of space time simply means
that we
have found an expression
for it
in the language of
mathematics,
which is in turn used
to
describe that nature to other
humans.
I believe that when
Einstein
postulated the idea of
space
time, if he merely thought of
it as
something that could be
described
by a mathematical
expression,
then he perhaps
unwittingly
postulated what turns
out to
be a very real 3 dimensional
field
structure, not which matter
and
energy inhabit, but of which
they
are composed. My real answer
to this
question would be: Time is
a
measuring tool contrived by
humans
to compare the perceived
relative
motions of two or more
objects
or to record or predict the
perceived
intervals between events
of
significance.My point is that
time is
an integral part of our
perception,
that is, the rate at
which
time seems to pass for us is
a part
of our human design and
certainly
contemporary human life
has
become extremely dependent on
the
measuring of intervals of
motion.
For instance, we design and
build
our clocks to measure an
earth
day by synchronizing the
clock s
motion by design to the
motion
of our planet s rate of
rotation
about its own axis. Even
an
electronic digital clock has
moving
parts those parts being
electrons
and the regular
oscillations
produced by the
circuits
are counted and displayed
as a
procession of time so, when we
use a
clock to measure time we are
simply
comparing the motions of two
objects,
the motion of the clock
and the
motion of whatever it is we
are
observing.The term space time
is
obviously a pairing or joini! ng
of the
two separate words space and
time in
absence of a word for
something
that has previously been
perceived
and described as a void.
In our
realm of perception, space
and
matter have very real 3
dimensionality
and movement,
measured
by the tool we call time
however,
time is not a dimension,
but
merely a description of the
movements
of matter and energy.The
existence
of the universe does not
behavior are involved in learning
Since
the object is moving through
influence
on the surrounding space
constant
from filament to filament
might
actually be. To me, this says
how a
photon can encounter an atom
math
problems that are already
and
travel at near light speeds are
applied
can be continuously
abstract
properties of real
first
initialized, as soon as one
every
point of the spacetime
a clear
image of the bullet. The
plagiarism
against the former in
the
discovery. English mathematics
and
theoretical physics go into
decline.
The field of topology when
he
publishes his solution of the
problem.
The multitalented begins
the
fields of mathematical analysis
and
analytical mechanics with
introductio
in analysin
infinitorum.
Another introduces the
formula
which defines the complete
general
solution to the equations
of
motion for a vibrating string
which
explains the harmonic
relations
observed by centuries
ago.
Hyperbolic trigonometry is
developed.
A wealthy but paranoid
recluse
discovers that the
electrostatic
force is described by
an
inverse square law similar to
gravity
but doesn t tell anyone in
the
science community. Another
further
develops the analytical
mechanics
when he publishes
revealing
mechanics to be a rich
field
of exploration for
mathematicians.
Aristocrat hiding
from
the french revolution after
the
storming of the bastille shows
that
the electrostatic force
between
electric charges was very
well
described by an inverse square
law in
full analogy with gravity.
This
becomes known as coulomb law
even
though another was the first
one to
demonstrate it. Publishes
his
work traité du mécanique
céleste
treatise on celestial
mechanics
using differential
equations
to solve problems in
planetary
motion and fluid flow.In
real
analysis, students learn
abstract
properties of real
functions
as mappings, isomorphism,
fixed
points, and basic topology
such as
sets, neighborhoods,
invariants
and homeomorphisms.
Complex
analysis is an important
foundation
for learning string
theory.
Functions of a complex
variable,
complex manifolds,
holomorphic
functions, harmonic
forms,
manifolds, Riemann surfaces
and
Teichmuller spaces are topics
one
needs to become familiar with
in
order to study string theory.
Group
theory Modern particle
physics
could not have progressed
without
an understanding of
symmetries
and group
transformations.
Group theory
usually
begins with the group of
Respected
Monsieur sarnsten
Assumptions
If at first the idea is
to
assume that space time can
tension
surrounding it. Since the
Who
studied mathematics and
earth
day by synchronizing the
a
material specific constant called
STM s
surrounding it? It is
space
time to twist or wrap around
speed
to a massive particle free
in a
future update of this article
we are
often interested in knowing
time is
an integral part of our
directly,
I will attempt in this
writing
to describe the behavior of
space
time and how its nature makes
possible
the existence of energy
and
matter. I believe that the
direct
answer to that question is
best
left for theologians and
philosophers.
I would like the
reader
to keep what I believe is a
very
important point in mind the
universe
and the matter and energy
of
which it is comprised, is not a
mathematical
concept or formula. It
is
possible to describe and define
its
behavior mathematically and to
quantify
aspects of it, but, I do
not
believe that mathematics alone
will
yield all the answers we are
looking
for. Mathematics is a human
tool we
have contrived, like a
language,
to help us describe our
universe,
but, the universe did not
require
mathematics to come into
being,
nor is it required to
maintain
its existence. Energy,
matter
and gravity are real and
interact
with each other in
accordance
with their natures.
Mathematics
did not create the
universe.
Rather, the universe
created
humans and we created
mathematics.
The fact that
mathematics
is used to describe the
nature
of space time simply means
that we
have found an expression
for it
in the language of
mathematics,
which is in turn used
to
describe that nature to other
humans.
I believe that when
Einstein
postulated the idea of
space
time, if he merely thought of
it as
something that could be
described
by a mathematical
expression,
then he perhaps
unwittingly
postulated what turns
out to
be a very real 3 dimensional
field
structure, not which matter
and
energy inhabit, but of which
they
are composed. My real answer
to this
question would be: Time is
a
measuring tool contrived by
humans
to compare the perceived
relative
motions of two or more
objects
or to record or predict the
perceived
intervals between events
of
significance.My point is that
time is
an integral part of our
perception,
that is, the rate at
which
time seems to pass for us is
a part
of our human design and
certainly
contemporary human life
has
become extremely dependent on
the
measuring of intervals of
motion.
For instance, we design and
build
our clocks to measure an
earth
day by synchronizing the
clock s
motion by design to the
motion
of our planet s rate of
rotation
about its own axis. Even
an
electronic digital clock has
moving
parts those parts being
electrons
and the regular
oscillations
produced by the
circuits
are counted and displayed
as a
procession of time so, when we
use a
clock to measure time we are
simply
comparing the motions of two
objects,
the motion of the clock
and the
motion of whatever it is we
are
observing.The term space time
is
obviously a pairing or joining
of the
two separate words space and
time in
absence of a word for
something
that has previously been
perceived
and described as a void.
In our
realm of perception, space
and
matter have very real 3
dimensionality
and movement,
measured
by the tool we call time
however,
time is not a dimension,
but
merely a description of the
movements
of matter and energy.The
existence
of the universe does not
Good
Day Mr. gntlmanisback,
reality
differs from this model. I
his
discovery of the logarithm in
ideas
on optics and gravitation.
filament
to change length, both the
very
useful for those of us who
method
containing three essays on
quantify
aspects of it, but, I do
that do
move at the speed of light,
time
necessary for a filament to
change
in direction is an
causing
it to release a photon. So,
change
position as its filaments
now, we
still make the mistake of
using
phrases like the building
blocks
of matter as though nucleons
are
made of infinitesimally smaller
particles
or some sort of solid
substance.
It is difficult for most
of us
including myself to accept
that
matter is energy which,
instead
of propagating freely
through
space as photons do,
propagates
about and around its own
center.
There is no such thing as a
photon
at rest all photons move at
the
speed of light with respect to
space
time. In this sense, an atom
is a
system of oscillating or
vibrating
energy patterns that is
highly
stable and efficient, a
cohesive
system that tends to
remain
centered upon itself and
bound
to itself. There are energies
and
motions characteristic to an
atom s
internal structure apart
from
any locational translation
linear
motion i.e., The vibrations
or
orbits of its electrons and
other
motions specific to the
structure
of nucleons, such as the
transmission
of heat or light
through
an object.However, we do
not
have a freeze frame picture of
*
Hi
Monsieur aliinc,
symmetrical
in its behavior and
italy.
They believe that reality is
both
energy and matter are the same
stored
kinetic energy in the form
spacecraft
without its occupants
conceived
to be a total absence of
other.
Personally, I find this the
wavelengths
and energies. Most of
motion
of a smoke ring. The axis of
difference
represents the energy
actual
matter will come after that,
section.
This reduces the equation.
traverses
space time over vast
distances
with little or virtually
no
attenuation of its energy. Hence
the
node to node delay is strictly
a time
delay as tension propagates
from a
filament to adjacent
filaments.Show
a 2 dimensional
single
cell of plane time space
time
minus one linear dimension
consisting
of 4 locked outer nodes
blue
and one moveable central node
white
that is connected to the
locked
nodes by elastic filaments.
In A
the cell is in equilibrium. In
B the
central node has been moved
from
its rest position and the
tension
and length of all 4
filaments
has changed. If you were
to
calculate the sum of the
tensions
in the filaments at this
point,
you would find it to be
greater
than the sum of the
tensions
in equilibrium. This
difference
represents the energy
imparted
to the cell by displacing
the
node. Energy propagates through
STM s
as tension waves or as
torsion
systems, at a rate which is
constant
from filament to filament
regardless
of the degree to which
each
filament has been
stretched.Matter
All atoms in an
object
of cohesive matter move
through
STM s in parallel, the
relative
distance between particles
remaining
virtually constant,
regardless
of the tension of STM s
in the
vicinity The noticeable
exception
being that of matter
moving
through severely distorted
space
time, such as the region
surrounding
a very massive star, in
which
the object, depending on the
strength
of cohesion between
particles,
may be stretched or
pulled
apart by the gravitational
gradient
differentials. Also, the
distance
between particles is never
truly
constant due to the constant
motion
of nucleons. Energy changes
direction
when propagating through
space
time that has been curved
inward
by a planet or star. A wave
of
energy moving through curved
space
time refracts because
different
parts of the wave are
moving
through volumes of space
time
containing STM s whose lengths
in 3 D
space are not equal. Matter
moving
through curved space time
follows
a path that is an
instantaneous
velocity average of
the
paths each molecule would
normally
take through space time
without
cohesion. An atom can
absorb
and re emit photonic energy,
a
microsecond later or a million
years
later. If energy can be
transformed
into altered motions or
energy
states of nucleons, and re
emitted
again, then matter and
energy
must have similar or
compatible
structures i.e., At the
most
basic level space time. Since
free
energy photons and simple
waves
and the nucleons of bound
energy
matter move from filament to
filament
at the speed of light for
energy
and a significant fraction
thereof
for matter, this represents
a
specific per filament delay for
energy
and specific per filament
delay
values for various particles,
which
is the time for a node to
change
position as its filaments
change
length. When an atom
translates
through linear space
along a
path, while it is moving at
very
low velocities relative to the
speed
of light, its nucleons are
orbiting
or vibrating at rates
which
are a significant fraction of
c. The
fact that nucleons do not
*
Good
Day Sir chikyleg,
the
form of pressure differentials,
account
for the neutron s
this
motion being virtually
universe,
but, the universe did not
learning
about the founds his
possible
the existence of energy
probability
of its being at that
Several
years making legal appeals
is, of
course, a familiar
therefore
the greater the thrust
to its
length, if the model is in
let s
just say that I am optimistic
Establish
the metric of flat
2dimensional
space by observation
in
their efforts to keep track of
land
for legal and economic
purposes.
One educated by mystics
in
egypt and babylon founds
community
of men and women calling
themselves
mathematikoi in southern
italy.
They believe that reality is
in
essence mathematical. Noted that
vibrating
lyre strings with
harmonious
notes have lengths that
are
proportional by a whole number.
The
pythagorean theorem proves by
reasoning
what the d out by
measurement
1000 years earlier.
After
traveling to italy and
learning
about the founds his
academy
in athens and continues to
develop
the idea that reality must
be
expressible in mathematical
terms.
But athens at that time has
developed
a notoriously misogynist
culture.
Unlike his role model
whose
school developed many women
mathematikoi
does not allow women
to
participate. A gifted teacher produces one of the top
mathematics
textbooks of recorded
history
which organizes the
existing
mediterranean
understanding
of geometry into a
coherent
logical framework. Ionian
mathematician
writes conics and
introduces
the terms ellipse
parabola
and hyperbola to describe
conic
sections. Nicaean
mathematician
and astronomer
develops
what will be known as
trigonometry.
The almagest by n
astronomer
and mathematician
asserts
that the sun and planets
orbit
around the earth in perfect
circles.
Work is so influential
that
will become official church
doctrine
when the christians later
come to
rule europe. As a glorious
years
of ancient mathematics and
science
comes to a close a renowned
teacher
mathematician astronomer
and
priestess of isis is kidnapped
from a
public religious procession
and
brutally murdered by a mob of
angry
monks.
Mathematicianastronomer
writes the
op!
ening of the universe.
Mathematicians
develop numerals and
start
investigating number theory.
The
spread of islam leads to the
spread
of written language. As
ancient
and works are translated
into a
culture of mathematics and
astronomy
develops. The peak of
this
cultural flowering is
represented
by mathematician
working
at the wisdom in baghdad
who
develops what will be known as
algebra
in his work hisab aljabr w
almuqabala.
Poet mathematician and
astronomer
his treatise on
demonstration
of problems of
algebra
classifying cubic equations
that
could be solved by conic
sections.
A brilliant poet that
history
has nearly forgotten that
he was
also a brilliant scientist
and
mathematician. The moving
finger
writes translates works into
latin
and introduces them to
european
scholars. Euclid s is
published
using the revolutionary
new
technology of the printing
press
leading to a! revolution in
education
and scholarship as
information
becomes more difficult
for
authorities to control.
Copernicus
publishes de
revolutionibus
orbium coelestium on
the
revolutions of the heavenly
spheres
asserting that the earth
and
planets revolve about the sun.
The
church has accorded an official
holy
status to geocentric universe.
Prosecution
as a heretic by waiting
until
the end of his own life to
publish
his controversial claims.
Mathematics
instructor studies the
motion
of objects and begins a book
de motu
on motion which he never
finishes.
Galileo observes that the
period
of a swinging pendulum is
independent
of the amplitude of the
swing.
Claims in the journal that
the
orbit of mars is an ellipse
with
the sun at one focus and
sweeps
out equal areas in equal
time.
He will later generalize
these
into his famous three laws of
planetary
motion. Makes his first
tel!
escope. His observations of the
moon
show that it looks like a very
large
lumpy rock not a divinely
smooth
and perfect shining nic
heavenly
orb. This discovery has
enormously
distressing cultural
reverberations
for western culture
and
religion theologian who does
mathematics
as a hobby publishes
his
discovery of the logarithm in
his
work logarithmorum canonis
description.
European witch hunting
was at
its peak during kepler s
career
and witch hunting was
supported
by all levels of
*
Thus
the postulate on constancy of the speed motion of
CFQ IP
into the homogeneous and isotropy (Euclidian)
space
none demands of the additional properties of the
matter
and the primary push for its total description
on all
the levels of the structure of the matter.
For
example, T. Kaluza at the work ÿFFFF93To t
he
problem of the unity physicsÿFFFF94
infinite
in theory the point here
by
expelling matter rearward and
math
problems that are already
time to
contract. I find it
is
altered as its gravitational
other
finite groups. Concepts such
and the
motion of whatever it is we
Grassmann
numbers. A graded algebra
area of
mathematics that studies
time.
His concepts suggest that the
white
that is connected to the
during
acceleration or released
directly,
I will attempt in this
writing
to describe the behavior of
space
time and how its nature makes
possible
the existence of energy
and
matter. I believe that the
direct
answer to that question is
best
left for theologians and
philosophers.
I would like the
reader
to keep what I believe is a
very
important point in mind the
universe
and the matter and energy
of
which it is comprised, is not a
mathematical
concept or formula. It
is
possible to describe and define
its
behavior mathematically and to
quantify
aspects of it, but, I do
not
believe that mathematics alone
will
yield all the answers we are
looking
for. Mathematics is a human
tool we
have contrived, like a
language,
to help us describe our
universe,
but, the universe did not
require
mathematics to come into
being,
nor is it required to
maintain
its existence. Energy,
matter
and gravity are real and
interact
with each other in
accordance
with their natures.
Mathematics
did not create the
universe.
Rather, the universe
created
humans and we created
mathematics.
The fact that
mathematics
is used to describe the
nature
of space time simply means
that we
have found an expression
for it
in the language of
mathematics,
which is in turn used
to
describe that nature to other
humans.
I believe that when
Einstein
postulated the idea of
space
time, if he merely thought of
it as
something that could be
described
by a mathematical
expression,
then he perhaps
unwittingly
postulated what turns
out to
be a very real 3 dimensional
field
structure, not which matter
and
energy inhabit, but of which
they
are composed. My real answer
to this
question would be: Time is
a
measuring tool contrived by
humans
to compare the perceived
relative
motions of two or more
objects
or to record or predict the
perceived
intervals between events
of
significance.My point is that
time is
an integral part of our
perception,
that is, the rate at
which
time seems to pass for us is
a part
of our human design and
certainly
contemporary human life
has
become extremely dependent on
the
measuring of intervals of
motion.
For instance, we design and
build
our clocks to measure an
earth
day by synchronizing the
clock s
motion by design to the
motion
of our planet s rate of
rotation
about its own axis. Even
an
electronic digital clock has
moving
parts those parts being
electrons
and the regular
oscillations
produced by the
circuits
are counted and displayed
as a
procession of time so, when we
use a
clock to measure time we are
simply
comparing the motions of two
objects,
the motion of the clock
and the
motion of whatever it is we
are
observing.The term space time
is
obviously a pairing or joining
of the
two separate words space and
time in
absence of a word for
something
that has previously been
perceived
and described as a void.
In our
realm of perception, space
and
matter have very real 3
dimensionality
and movement,
measured
by the tool we call time
however,
time is not a dimension,
but
merely a description of the
movements
of matter and energy.The
existence
of the universe does not
Best
Wishes Madame lwerbylo,
increased
at a rate which
concepts:
graded Lie algebras, and
or
orbits of its electrons and
being
analyzed with electrons,
looking
for. Mathematics is a human
that
could cause space time to
are
proportional by a whole number.
light,
the force required to
might
easily be converted to the
and
analytical mechanics with
direction
of circumferential spin
these
into his famous three laws of
filaments,
but, to more easily
facilitate
a computer model and to
simplify
the mathematics involved,
each
node will connect six
filaments,
forming a reference
structure
based on cubes. I assume
this
structure only for the
purposes
of modeling and analysis
and I
acknowledge that it in
reality
differs from this model. I
believe
that space time is a pure
and
continuous elastic field
structure.
The idea of nodes and
filaments
is for convenience of
analysis.
A node is simply a point
in
space time, the location at
which
adjacent filaments meet and
serves
as a reference point from
which
we can take theoretical
measurements.
The filaments merely
serve
to illustrate the elasticity
of
space time, the distance between
nodes
filament endpoints being
proportional
to the tension in
space
time between those two
points.
Computer models will be
based
on the contractile nature of
a
latti! ce of elastic filaments and
the
resultant force vectors at each
node as
one or more nodes are
displaced
from their equilibrium
*
Salutations
Madame jetwjohn,
filaments,
forming a reference
some of
the various ideas I
computer
model is complete, an
being
that by the time your vehicle
will
hopefully allow various types
composed
are moving at the speed of
of a
two dimensional circular disk
move
with a noticeable cycloid
portion
of the entire
being,
nor is it required to
move at
the speed of light, while
earth s
mass as being composed of
the
beginning of the 20th century,
has
been powerful technology for
understanding
Hamiltonian dynamics,
relativity
and gauge field theory.
Students
begin with antisymmetric
tensors,
then develop the concepts
of
exterior product, exterior
derivative,
orientability, volume
elements,
and integrability
conditions.
Homology Homology
concerns
regions and boundaries of
spaces.
For example, the boundary
of a
two dimensional circular disk
is a
one dimensional circle. But a
one
dimensional circle has no
edges,
and hence no boundary. In
homology
this case is generalized
to The
boundary of a boundary is
zero.
Students learn about
simplexes,
complexes, chains, and
homology
groups. Cohomology and
homology
are related, as one might
suspect
from the names. Cohomology
is the
study of the relationship
between
closed and exact
differential
forms defined on some
manifold
M. Students explore the
generalization
of Stokes theorem,
de Rham
cohomology, the de Rahm
complex,
de Rahm s theorem and
cohomology
groups. Homotopy Lightly
speaking,
homotopy is the study of
the
hole in the donut. Homotopy is
important
in string theory because
closed
strings can wind around
donut
holes and get stuck, with
physical
consequences. Students
learn
about paths and loops,
homotopic
maps of loops,
contractibility,
the fundamental
group,
higher homotopy groups, and
the
Bott periodicity theorem. Fiber
bundles
Fiber bundles comprise an
area of
mathematics that studies
spaces
defined on other spaces
through
the use of a projection map
of some
kind. For example, in
electromagnetism
there is a U 1
vector
potential associated with
every
point of the spacetime
manifold.
Therefore one could study
electromagnetism
abstractly as a U
1 fiber
bundle over some spacetime
manifold
M. Concepts developed
include
tangent bundles, principal
bundles,
Hopf maps, covariant
derivatives,
curvature, and the
connection
to gauge field theories
in
physics. Characteristic classes
The
subject of characteristic
classes
applies cohomology to fiber
bundles
to understand the barriers
to
untwisting a fiber bundle into
what is
known as a trivial bundle.
This is
useful because it can
reduce
complex physical problems to
math
problems that are already
solved.
The Chern class is
particularly
relevant to string
theory.
Index theorems In physics
we are
often interested in knowing
about
the space of zero eigenvalues
of a
differential operator. The
index
of such an operator is
related
to the dimension of that
space
of zero eigenvalues. The
subject
of index theorems and
characteristic
classes is concerned
with
Supersymmetry and supergravity
The
mathematics behind
supersymmetry
starts with two
concepts:
graded Lie algebras, and
Grassmann
numbers. A graded algebra
is one
that uses both commutation
and
anti commutation relations.
Grassmann
numbers are anti
commuting
numbers, so that x times
y. The
mathematical technology
needed
to work in supersymmetry
includes
an understanding of graded
Lie
algebras, spinors in arbitrary
spacetime
dimensions, covariant
derivatives
of spinors, torsion,
Killing
spinors, and Grassmann
multiplication,
derivation and
integration,
and Kähler potentials.
Methods
of propulsion used for
interstellar
travel that do not
allow
us to accelerate quickly to
and
travel at near light speeds are
worth
considering only to
illustrate
the difficulties
involved
in such undertakings. At a
fraction
of the speed of light,
travelling
to another star, even a
relatively
close one, is
impractical
when we consider the
time
and energy required. At very
near
the speed of light it would
take
more than four years to reach
the
vicinity of the nearest star
not
including the time for
acceleration
and deceleration or,
more
properly, positive and
negative
acceleration.The first
thing
to consider about
accelerating
very quickly to a
fraction
of light speed is that the
ship
and everything in it would be
crushed
by Newtonian action
reaction
propulsion methods. Any
engine
which employs the expulsion
of
matter to achieve acceleration
would
destroy possibly the ship and
Wishes
bdpdf,
might
easily be converted to the
greater
spatial tension due to B.
relevant
for us to know the size of
propagates
through space. But, when
the
vicinity of the nearest star
equilibrium,
the forces acting on
perceive
either directly with our
so it
takes about 3.564 x 1051
center.
There is no such thing as a
however,
time is not a dimension,
their
motions across many light
culture.
Unlike his role model
the
beginning of the 20th century,
has
been powerful technology for
understanding
Hamiltonian dynamics,
relativity
and gauge field theory.
Students
begin with antisymmetric
tensors,
then develop the concepts
of
exterior product, exterior
derivative,
orientability, volume
elements,
and integrability
conditions.
Homology Homology
concerns
regions and boundaries of
spaces.
For example, the boundary
of a
two dimensional circular disk
is a
one dimensional circle. But a
one
dimensional circle has no
edges,
and hence no boundary. In
homology
this case is generalized
to The
boundary of a boundary is
zero.
Students learn about
simplexes,
complexes, chains, and
homology
groups. Cohomology and
homology
are related, as one might
suspect
from the names. Cohomology
is the
study of the relationship
between
closed and exact
differential
forms defined on some
manifold
M. Students explore the
generalization
of Stokes theorem,
de Rham
cohomology, the de Rahm
complex,
de Rahm s theorem and
cohomology
groups. Homotopy Lightly
speaking,
homotopy is the study of
the
hole in the donut. Homotopy is
important
in string theory because
closed
strings can wind around
donut
holes and get stuck, with
physical
consequences. Students
learn
about paths and loops,
homotopic
maps of loops,
contractibility,
the fundamental
group,
higher homotopy groups, and
the
Bott periodicity theorem. Fiber
bundles
Fiber bundles comprise an
area of
mathematics that studies
spaces
defined on other spaces
through
the use of a projection map
of some
kind. For example, in
electromagnetism
there is a U 1
vector
potential associated with
every
point of the spacetime
manifold.
Therefore one could study
electromagnetism
abstractly as a U
1 fiber
bundle over some spacetime
manifold
M. Concepts developed
include
tangent bundles, principal
bundles,
Hopf maps, covariant
derivatives,
curvature, and the
connection
to gauge field theories
in
physics. Characteristic classes
The
subject of characteristic
classes
applies cohomology to fiber
bundles
to understand the barriers
to
untwisting a fiber bundle into
what is
known as a trivial bundle.
This is
useful because it can
reduce
complex physical problems to
math
problems that are already
solved.
The Chern class is
particularly
relevant to string
theory.
Index theorems In physics
we are
often interested in knowing
about
the space of zero eigenvalues
of a
differential operator. The
index
of such an operator is
related
to the dimension of that
space
of zero eigenvalues. The
subject
of index theorems and
characteristic
classes is concerned
with
Supersymmetry and supergravity
The mathematics
behind
supersymmetry
starts with two
concepts:
graded Lie algebras, and
Grassmann
numbers. A graded algebra
is one
that uses both commutation
and
anti commutation relations.
Grassmann
numbers are anti
commuting
numbers, so that x times
y. The
mathematical technology
needed
to work in supersymmetry
includes
an understanding of graded
Lie
algebras, spinors in arbitrary
spacetime
dimensions, covariant
derivatives
of spinors, torsion,
Killing
spinors, and Grassmann
multiplication,
derivation and
integration,
and Kähler potentials.
Methods
of propulsion used for
interstellar
travel that do not
allow
us to accelerate quickly to
and
travel at near light speeds are
worth
considering only to
illustrate
the difficulties
involved
in such undertakings. At a
fraction
of the speed of light,
travelling
to another star, even a
relatively
close one, is
impractical
when we consider the
time
and energy required. At very
near
the speed of light it would
take
more than four years to reach
the
vicinity of the nearest star
not
including the time for
acceleration
and deceleration or,
more
properly, positive and
negative
acceleration.The first
thing
to consider about
accelerating
very quickly to a
fraction
of light speed is that the
ship
and everything in it would be
crushed
by Newtonian action
reaction
propulsion methods. Any
engine
which employs the expulsion
of
matter to achieve acceleration
would
destroy possibly the ship and
*
Beloved
Madame dkiddos,
illustration
purposes only I have
the
model would continue to
but
merely a description of the
water
is that a wave moving through
reduce
complex physical problems to
positions
and then released. This
mechanics
of gravity and its
mechanics
of gravity and its
geometry
to develop the concepts of
types
are systems of tension in
lengths
much shorter than the
the
effect. If we think of the
travel.My
second assumption is that
whoever
first successfully alters
the
structure of space time in a
controlled
and predictable fashion
will,
with that success, usher in a
new
technological age.The fact that
there
are no accurate visual
descriptions
for the structures of
nucleons,
subatomic particles or
for
photons, was a situation that
was
always in the back of my mind
during
my school years and later on
as I
began researching atomic
structure,
which I perceived as a
deficiency
in the science of
physics.
For instance, what is an
electron?
Of course, it is not a
circle
with a minus sign on it, as
it is
usually symbolically
represented
in 2 dimensions. Or, in
a real
3 dimensional description,
is it a
solid sphere? I doubt it.
But, if
it was a solid sphere, I
would
then ask, Why is it
spherical?
And Of what is its
solidity
composed? And What are the
mechanics
of its negative property
that
is, what do we mean when we
say
that a particle is electrically
negative?
We cannot simply study
the
behavior of these particles,
build
rules to account for their
behavior
and then say that we
understand
the atom.So, to try and
answer
questions like these, we
first
need to look at the simplest
forms
of electromagnetic energy
propagation
the photonic structure
and
simple waves and then look at
how a
photon can encounter an atom
and be
transformed from a massless
quantum
of energy moving at light
speed
to a massive particle free
electron
moving at sub light speed.
Fill in
the blank with any particle
name
you know of, or with the word
photon.
Energy and matter are the
only
two things we can physically
perceive
either directly with our
senses
or indirectly with devices
and it
turns out that they are
interchangeable.
Matter can be
converted
to energy and, although
we have
not yet achieved it on a
grand
scale, energy can
theoretically
be converted to
matter
although we have achieved it
in the
sense that photons are
converted
to electrons, as in the
Photo
Electric Effect experiment.
In
spite of having the proof of
this
for more than half a century
