The
primeval Level of Organization Of Nature (the
primeval LOON) has been portrayed as consisting
of XB-blocks gliding in the limitless XV-space
of Nature. The gliding motion is another name
for the linear translatory motion of constant
speed --a motion that represents the simplest,
and thus the default motion in
Nature.
A
motion to be well-defined must be referenced to
a particular frame of reference which in turn
must exist into a well-defined
space. A
well-defined space in Nature is a space where
both its mathematical and its physical structure
are well-defined.
- A
mathematical structure of a space is
defined through the definition of
the distance between any two
points in that respective space,
i.e., through its metric. If
the distance between any two points
in a particular space is measured
through a straight line, we say that
the respective space has an
Euclidean structure or that its
metric is Euclidean. If, to the
contrary, the metric of a space is
not derived from a straight line, we
say that respective space is a
non-linear or non-Euclidean space.
An example of a non-Euclidean space
is the Riemannian space.
- A
physical structure or the background
of a space is defined as the
physical medium or the physical
"arena of existence" of that
geometric space.
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Motions,
from another viewpoint, could also be classified
as relative or absolute. For the absolute
motions (that are the motions that we deal with
in the primeval LOON), we need to have defined
an absolute fix frame of reference imbedded into
a well-defined absolute immobile
physical space. And that is provided
below when we tackle the space concept employed
in TRUTON. The material space cocept will
further be detailed below.
Asides
from space, another fundamental concept that
cannot be separated from motion is the
concept of time. That is because
all motions take place at particular times and
are characterized by a duration or a distance
in time. So asides from a spatial distance,
we can talk also about a distance in time. The
time concept will also be expanded in here,
below.
Last,
but not least, the motion cannot be separated
from the concept of energy. That is
because something that moves is said to have
"active" energy --the energy of motion
known as the kinetic energy. We also
can have "dormant" energy known as the
potential energy that is a locked-up or
stored active energy, i.e., an active energy
that is not able to manifest its existence as a
motion due to a constrain or constrains placed
on it. Following this "classic" line in
describing energy we cannot answer what energy
is. To understand its foundational nature, we
will begin --like all the beginnings in TRUTON--
from examining the primeval LOON. That study of
the energy concept is done separately in a
subsequent
section.
The
three concepts just noted --space, time, and
energy associated with motion are said to be
foundational concepts in the sense that
they create the foundation or the background
upon which all dynamics of Nature can be
formulated with. They represent indeed the
background (or the basic)
concepts of Nature referred through the
BACONs acronym.
To
not offend our observant Jewish or
Muslim readers for whom the 'bacon'
is a forbidden food, we note that
those three BACONs that represent
the three foundational concepts of
Nature transcend over all boundaries
of Nature and as such, they are also
called the transphysical
concepts of Nature or in short
the transphysicals.
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The
origin of the transphysicals spring from the
observed physical entities of Nature that are
being converted into conceptualizations, through
our abstract rational thinking (ART),
that evolved with the biological evolution of
the human brain. However, with that evolution of
the human brain, a potential mortal danger for
ART began to emerge in the course of the human
brain evolution.
. The
potential mortal danger threatening our abstract
rational thinking (ART) tool in deciphering the
secrets of Nature has been that ART was no
longer the only player available to the human
brain. Another two major lethal players become
also available to the human mind for its
abstract thinking: one, the Irrational
Thinking; and the other, the Speculative
Thinking. We could call those two capacities
of the human brain as forming its abstract
playground components.
. When
mingled together, the three capacities of the
human thought --the rational with the irrational
and the speculative thinkings, we can obtain
truly catastrophic results that have very little
or nothing in common with the reality of Nature
--a reality that, of course, exists independent
than our own existence. The scrupulous guarding
of the Rational Thinking of not allowing it to
be tainted by the mind's playground components
is vital, if we hope to get to the bottom in
understanding Nature with all its apparent
intricacies. Preserving
the absolute purity of Rational Thinking is
indeed mandatory in science if we want to get to
the real picture of
Nature.
Mathematics
is the only science that has employed
consistently only the Rational Thinking in its
purest form (and staying completely away from
the playground components of the mind) in
obtaining its results. On the other hand,
Physics (the mother of all Natural Sciences) and
Astronomy (the oldest of all Natural
Sciences) have departed considerably --in the
"modern" era-- from their past path introducing
now in the mainstream science speculative and
irrational thinking on a massive scale. All that
departure is an embarrassment --at best, and a
criminal act --at worst, in the mankind's
pursuit in deciphering the secrets of Nature. It
is indeed, the ultimate goal of TRUTON to stop
that trend originated with the implantation by
Albert
Einstein
of two preposterous theories purporting to
describe Nature --that of his "Special" and
"General" theories of Relativity.
With
this said, it is the scope of the remaining part
of this section to magnify the transphysical
concepts of space,
and time.
As noted, we leave the energy
concept to be studied later, separately.

We start with examining the space
concept. We begin this examination by noting
that all living organisms have developed
mechanisms in recognizing the existence,
and thus the characteristics of their
environment and thus of their 'space.' That
recognition developed considerably with the
evolution and development of the brain in the
kingdom of the living whose apex arguably was
reached with the appearance of the human
species.
Indeed,
we human began recognizing that the physical
space far exceeded our immediate surrounding
environment. New terms such as the cosmic
space became part to that recognition. The
exploration of that physical cosmic space became
in earnest the frontier of the first science
--the Astronomy.
The
expansion of the space concept was done
through the advancement of the abstract
thinking whose seat has been in the Logic
functionality of the brain --the place where
rational deductive inferences are being
produced. Thus, the space concept is
par excellence a transphysical
concept. Mathematics and Philosophy
have been at the forefront in studying the
nature of space through rigorous abstract
thinking.
In
Mathematics, the 3-dimensional Euclidean space
(that was the representation of the perceived
physical space of Nature) was no longer the only
space in use. New mathematical abstract spaces
of any dimension were making their debuts
together with mathematical spaces that were no
longer Euclidean. As a result of that, a new
renaissance in Mathematics began placing the
abstract rational thinking on new heights and
plateaus.
In
Philosophy, the abstract thinking led
philosophers (such as the brilliant and
unequalled Immanuel Kant with his seminal
work "Critique of Pure Reason") to begin
examining cosmological concepts in terms of how
the human brain itself, through its logic
functionality, treats those concepts. In his
famous "Antinomies of Pure Reason" vested in his
four thesis-antithesis propositions, Kant is
both probing and battering the logic
functionality of the human brain to
unprecedented levels of scrutiny.
We
now are ready to introduce the absolute
limitless Space of Nature, called HoloSpace
(HOS) entity, that in TRUTON
represents Nature's "arena of existence" and,
represented by the (mathematical)
open set
containing the Nature's limitless vacuum-type
continuum called xenovoid (XV). So
the limitless XV-extent of Nature is embedded in
the HOS. Thus, the "fabric" of HOS is XV. That
implies that all xenovoid (XV) points are
intrinsic fixed points of Nature. When an
object moves in HOS, the object moves through XV
rather than pushing away XV. That distiction and
recognition leads us to
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The
First Fundamental Principle Of Nature
(1st
FUPON):
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All
objects of Nature are being permeated
by xenovoid that is the only absolute
immobile fixture of
Nature.
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.Remark
1: The 1th FUPON has part of its
roots in the absolute
permeability
(APER) property of XV to be
discussed in the next section.
.
Remark
2: The HoloSpace (HOS) of Nature
is the identical space visualized
and employed by Sir Isaac Newton and
his followers.
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Since all XV-points are absolute fixtures in
Nature, it follows that we can talk about a
fixed absolute frame of reference (AFOR)
in Nature that the XV-fabric is providing
it. Unless otherwise specified, all absolute
motions in Nature are considered to be with
respect to AFOR that is grounded in that
immobile XV-background of Nature. Finally, we
note that the mathematical structure of HOS is,
as expected, the 3-dimensional Euclidean
Geometrical Space --a space conforming with our
given Common Sense.

A far more complex concept is the
transphysical concept of time that
evolved from the linear 'distance in duration'
reality of Nature such as the 'distance' between
day and night, between various phases of the
Moon, between seasons, etc. Therefore the time
concept incorporates all the characteristics of
the distance concept --a concept that was
considerable formalized in Mathematics. In
particular, we note that the distance between
any two points can be represented through a
line (straight curve) joining those two
points. Hence, the 'time' concept has
assimilated all the (mathematical) properties of
the 'line' concept. Thus, the properties of the
'line' are being carried into to the property of
'time.' We can see all this from the table
below.
Formalization
of 'line'
from Mathematics
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Borrowed
formalization
of the 'time'
concept
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1.
A line has no beginning nor end.
Between any two distinct points there
is one, and only one, line that passes
through them both. Because of this,
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.
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It
is meaningless to talk about a
"condensed" or a "stretched"
mathematical line. A
Mathematical line is of one,
and only one, kind.
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1'.
Between any two distinct events, called
EventPoints or
TimePoints, there is one, and
only one, straight line that passes
through both of them called the
EventLine or TimeLine of
Nature (TILON) with no beginning
and no end. Because of this,
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.
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It
is nonsensical to talk about a
condensed or stretched
TimeLine/EventLine.
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2.
Between any two points in a
line, there is a point between
them.
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2'.
Between any two
EventPoints/TimePoints of
the EventLine/TimeLine,
we always can have another
EventPoint/TimePoint.
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3.
To a line L, we can associate a
one-to-one function f=f(x) such
that for any two points P and Q on
L we have
|PQ|=|f(P)-f(Q)| that is
called the distance between P
and Q. The number |PQ| is called the
length of the line segment PQ
and the points P and Q are called
endpoints.
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3'.
A segment of the EventLine or TimeLine,
called an
EventSegment/TimeSegment (or a
time episode), is a part
or a portion of the EventLine/TimeLine
that is bounded by two
EventPoints/TimePoints, say P and Q,
called
end-EventPoints/TimePoints and
contains every EventPoint/TimePoint on
the EventSegment/TimeSegment between
its end-EventPoints/TimePoints.
The duration of a
PQ EventSegment/TimeSegment or a
PQ episode is the number
|PQ|=|f(P)-f(Q)| where
f is called the
time function, f=f(t),
that is a one-to-one function
associated with the EventLine/TimeLine.
The variable t is called the
time variable or simply
'time.'
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.
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Remark
1:
Any two endpoints whose
distance between them is
0 (zero) are said to be
one and the same.
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.
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Remark
1':
Any two
EventPoints/TimePoints that
have a zero
EventSegment/TimeSegment
between them are said to be
simultaneous.
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.
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Remark
2:
The variable x of
function f(x) is not a
discrete but a
continuous variable on
L. The
continuous variable
x is said to be
mapping the line
L, and it goes without
saying that x
- is
a non-stretchable
and a
non-compressional
entity;
and that
x
- has
no beginning nor
end.
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.
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Remark
2':
The continuous time
variable t (or time) of
the time function
f=f(t) is said to be
mapping the TimeLine of
Nature (TILON). Since
TILON has no beginning or end,
it follows that
- that
'time' cannot be
"compressed" or
"stretched."; nor
- that
time (the time
variable
t)
has an
absolute
beginning or
an absolute
end.
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4.
The coordinatization of the
line:
The mapping f---->f(x)
represents the coordinatization
of the line. That is, it defines a
coordinate system on the line. There is
a point that corresponds to 0 (zero)
and, there are points that correspond
to the positive real numbers and points
that correspond to the negative real
numbers.
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4'.
The arrangement of the
EventLine/TimeLine:
.There
is an EventPoint/TimePoint called
zero-EventPoint/TimePoint or the
BirthTime that corresponds to
the birth of a particular formation.
The time referenced to the formation is
called the relative time or the
intrinsic time of that
formation.
.There
is an EventPoint/TimePoint called the
now-EventPoint/TimePoint
or the
present-EventPoint/TimePoint
that corresponds to a given number
called present.
.There
are EventPoints/TimePoints called
bygone-EventPoints/TimePoints
or past-EventPoints/TimePoints
preceding the
present-EventPoint/TimePoint that are
corresponding to negative real numbers.
We say that those points represent
points of the past.
.There
are EventPoints/TimePoints called
EventPoints/TimePoints-to-be or
future-EventPoints/TimePoints
that are corresponding to positive real
numbers. We say that those points
represent points from an
imaginary or virtual
future.
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5.
A half-line or a ray-line
is defined trough the concept of
"order" of points of a line. When we
have coordinatization, we say
that the line is directed.
A half-line is part of a line which is
finite in one direction, but infinite
in the other.
It
can be defined by two points, the
initial point, A, and one other, B. The
half-line is all the points in the line
segment between A and B together with
all points, C, on the line through A
and B such that the points appear on
the line in the order A, B,
C.
If
A is a point on a line such that the
set of points C satisfy the relation
f(A) f(C),
then the set of points C are said to
form a ray with A as its origin.
If the set of points C satisfy the
relation f(A) f(C),
then the set of points C are said to
form the opposite ray.
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5'.
The EventLine/TimeLine has two halves.
A half-EventLine/TimeLine is
defined through the concept of "order"
of its EventPoints/TimePoints. When the
EventPoints/TimePoints are arranged in
the order of their successive
occurrence, we say that the
EventLine/TimeLine is directed.
A half-EventLine/TimeLine is a part of
the EventLine/TimeLine that is finite
in one direction, but infinite in the
other.
.We
call the
bygone-EventLine/TimeLine
or past-EventLine/TimeLine, the
half-EventLine/TimeLine whose origin is
the present-EventPoint/TimePoint and
whose all subsequent
EventPoints/TimePoints are the
bygone-EventPoints/TimePoints. We call
that half-EventLine/TimeLine the
entire past-line of
Nature (EPLON).
.We
call the
EventLine/TimeLine-to-be, the
half-EventLine/TimeLine whose origin is
the present-EventPoint/TimePoint and
whose all subsequent
EventPoints/TimePoints are the
future-EventPoints/TimePoints. We call
that half-EventLine/TimeLine a
virtual
futuristic-line.
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.
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Internal
biological mechanisms for measuring the duration
of a time episode (as defined in point 3'
hereinabove) have existed and perfected from the
beginning of life. Natural time-markers are, as
we have noted, an essential element of life. The
evolutionary evolved human species added a new
dimension of keeping track of time not through
its existing biological clocks but through
external clocks creating timekeeping
devices called timepieces capable of
functioning outside the body of human species.
The evolution of those timekeeping devises from
sundials and water clocks to pendulum clocks and
culminating with quarts and atomic clocks has
been indeed a most remarkable journey.
The
complex concept of time evolved, as we have
seen, from the recognition of the existence of a
'distance of duration.' Another type of distance
that has been recognized by all living organisms
has been the 'distance in length' or 'spatial
distance.' That 'spatial distance' will lead us
to the 'metric' of the Euclidean Space noted
above.
.NOTE:
As
we have seen, through our logic
functionality, we were able in a
coherent way to arrive at the
transphysical concepts of space and
time and that indeed is a remarkable
achievement of our logic
functionality. However, as we have
noted above, logic functionality
however was not the only "player"
that human brain was equiped with.
Irrationality was another
functionality bestowed upon the
human brain. And trough that
platform of the Irrational, the
abstract thinking could also be
launched and it entered mainstream
in 1905 with Albert
Einstein's
introduction of his Special Theory
of Relativity (STR) and continuing
by him 10 years later with the
introduction of his General Theory
of Relativity (GTR). Once the gate
towards Irrational was opened, it
was not long before the apparition
of the Quantum Mechanics --a theory
par excellence of the Absurd
purporting to represent and explain
the atomic and subatomic worlds of
Nature. One of its founders,
P. A. M. Dirac in the
1930 Preface of his classical work
"The Principles of Quantum
Mechanics" pleads with the reader to
allow him to introduce elements of
the irrational which he called them
"irrelevancies," as well as, to
allow him to use indiscriminately
Mathematics as "it is the tool
specially suited for dealing with
abstract concepts of any kind as
there is no limit to its
power ..." A more recent
physics professor while at Harvard
University (now at University of
Texas at Austin and a Nobel Laureate
in Physics), in justifying for the
necessity of introducing elements of
the irrational in Quantum Mechanics
blamed the human brain for its
biological limitations arguing that
as dogs could not be taught
Calculus, similarly we, humans,
could not expect to be able to grasp
the atomic and subatomic world in a
rational fashion. [sic!].
Well, hopefully the foundation of
TRUTON will be able to change all
that and bring down all that
nonsense.
Out
of that nonsensical, irrational,
thinking it is worth mentioning one
result that stands out --the
nonsensical 4-dimensional space,
called spacetime continuum,
combining the 3-dimensional space
(x, y, z) with the
1-dimensional time-line (t)
resulting into the ridiculous
nonsensical
"(x, y, z, t)-space."
Of course, if time t is a
variable, we write the 3-dimensional
space as
[x(t), y(t), z(t)]
but never ever introduce an
'unsustainable' spacetime
continuum
(x, y, z, t).
It is 'unsustainable' because a
space to be 'sustainable' must have
all its coordonates be of the same
kind --'spatial' kind. That is to
say that the coordinates of a point
in a given space must be of the same
nature and thus be
interchangeable if the
respective space would have any
meaning. If in other situation, for
instance, we have a problem where
the density d is a variable,
we cannot create a
nilly-willy nonsensical
spacedensity continuum
(x, y, z, d),
but we use the same
3-dimensional physical space with
d as the variable
[x(d), y(d), z(d)].
Also,
the concept of a space "curvature"
attributed, nilly-willy, to the
spacetime nonsensical continuum is
an exercise into the absurd as it
has no physics nor anything else in
support thereof. From here somehow
the origin of gravity is being
"explained" being part of Albert
Einstein's insane theory of Nature
--his so-called General Theory of
Relativity.

.Albert
Einstein
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(That
Albert Einstein harbored a
clinically insane mind has been well
kept a most guarded secret by the
Einstein estate. Einstein, in fact,
was born with a mental disorder, was
not able to speak until was 3,
developed Schizophrenia that he
passed to his children, was a
mediocre student all his life, and
professionally benefited greatly
from his first wife that supplied
for him most of the employed
mathematics. In addition, he stole
practically all of the
'relativistic' results from
published materials of Henri
Poincaré and Hendrik Lorentz
including the famous 1904
Poincaré equation E=mc2
attributed to
Einstein.)
If
the nowadays "modern" Physics is
marred by the massive amount of
irrationalities that were implanted
and continue to flourish, the
nowadays "modern" Astronomy is being
marred by its massive speculative
concepts such as,
- by
its preposterous
Big-Bang cosmological
concept that considers
that our existing
Universe has somehow
emerged out of the
explosion of a
nilly-willy point of
infinite mass
density;
- by
the existence of
speculative "dark"
energy and
mass;
- by
the existence of the
speculative
"antimatter";
- by
the existence of some
mysterious "black holes"
with unseen imaginary
physical
properties;
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and
so on, and so on ...
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What
a terrible sad state the "modern"
Physics and Astronomy have evolved
into. Heartbreaking indeed.
.God,
if there is one, is having a field
day is seeing how far off we have
strayed from deciphering the secrets
of Nature and its modus
operandi.
.
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The
last foundational concept connect to motion
--the energy concept will be studied separately
in a following section, as noted. Until then, we
will turn our attention in identifying the
primary ingredients of Nature --the subject of
the next section.
.