Never physicists will be able to
grip the reality as long as they rely on the current contradictory concepts of
the macro and micro realm. The advent of quantum theory makes the picture of
the micro world seem so outlandish that physicists give up describing its
actual reality. They stick, instead, solely to mathematical formalism in place
of the physical pictures of the reality.
Physicists, on the other hand, are
more confident with their picture of macroscopic reality as described in the
relativity theory; at least that is what they think. However, they are wrong.
The relativity theory wrongly takes the spacetime model of the primeval
universe for the actual world.
In the current [Minkowski]
4-dimensional spacetime model, physicists assume that the inextricable space
and time dimensions are inherently dissimilar a). is where
physicists fall into the pit. In an entirely unified state, space and time
dimensions are equivalent. In such a state, the world is fully symmetric,
continuous, isotropic and static.
This static and eternal world is not
the actual world which we are familiar with. In such a world, there was yet
neither locality b) nor movement as there was no space for matter to
exist, and no time for the matter to move. There was absolutely nothing; not
even single matter existed but energy c). It was the primeval
universe d), the embryo of the actual universe.
So how and why space and time become
so different as what they are now?
In a cosmic scale, energy as a whole
is geometrically manifested by its corresponding spacetime which dimensions
reflex the degree of freedom of the energy as a whole. By itself, energy
consists of two opposite parts, the positive and negative energy, which tend to
segregate from each other turning the highly symmetric spacetime to become
extremely unstable. As the positive and negative energy split gradually, a
3-dimensional [expanding] hypersurface (space) e) naturally takes
place in between. We call such grand cosmic split phenomenon spontaneous
symmetry breaking.
Now here we come to a significant
milestone that marks the beginning of time, the birth of the actual world. As
the hypersurface came into being, the dimensions of the spacetime started to
differentiate; those along its surface became spatial while normal to it became
temporal. It is along this hypersurface that locality is taking place while the
vast spacetime outside it non-locality reigns.
It is precisely the elucidation
related to Niel Bohr saying that the world around us is real, but it floats
on a world that is not as real. The 3-dimensional localized hypersurface is
the Bohr's real-world floating on the unreal vast non-localized 4-dimensional
spacetime embedding the hypersurface. "There is no deep reality,"
was his confusing doctrine known as Copenhagen interpretation.
The continuous interaction between
the two opposing energies perpetually creates and annihilates the hypersurface
(space) f) together with the quantum sparks (“quarks”) on its
surface g). The reality in the deepest sense, therefore, consists of
the alternating of brief existence and non-existence of the hypersurface. It is
the Werner Heisenberg's duplex world which he defined as consisting of potentials
and actualities, which we may correlate to the alternating real localized
hypersurface and unreal non-localized "nothingness" h).
What Walter Heitler meant by undivided
wholeness was this non-localized world which alternately appears and
disappears with the real localized hypersurface. When the localized
real hypersurface dissolves into the non-localized world, in a small fraction
of second everything becomes entangled as undivided wholeness before the real
world (hypersurface) reappears. Hugh Everett interpreted
this perpetual alternation of brief existence and non-existence of the
hypersurface as there are out there "many worlds."
The gross sum of the alternating
contribution of the world of potentials and actualities is described
mathematically by the wavefunction. As the quantum observation can only gauge
and record the world of actualities and not the complete series of potentials
and actualities, it gives a perception as though the act of observation makes
the wavefunction collapse and the real world emerge. It is another misleading
Copenhagen interpretation which states that the reality is created by
observation.
However, it is not all. The
4-dimensional spacetime which embeds the 3-dimensional hypersurface we live in
is not unique. The spontaneous symmetry breaking did not happen only once but
in series from the highest dimensional spacetime down to the lowest
3-dimensional hypersurface. As such,
there exist out there a grand cosmos consisting of our world in the
"center" embedded consecutively within higher and higher dimensional
ambient spacetimes up to "infinite" i). The 10-dimensional
world has a special place in the grand cosmos as its dimensions allow the
4-dimensional world to have a full degree of freedoms.
This theory which we call the grand
relativity theory will positively impact profoundly on human thinking about
reality. For centuries people wrongly believing that the tiniest particles in
nature are permanent, which is not the case. A grand paradigm shift is
required. A bunch of matter which we
think will turn into persistent and permanent fundamental particles in
case we continually divided it into smaller and smaller parts, are in fact
ephemeral, hardly existing, appearing and disappearing perpetually to and fro
energy at the pace equal to the speed of light, a weird picture which is far
from what most people imagine.
Notes:
a. Einstein
gave vicious circle reasoning: "... the non-divisibility of the
4-dimensional continuum of events doesn't at all, however, involve the
equivalence of the space coordinates with the time coordinate. On the contrary,
we must remember that the time coordinate is defined physically wholly
differently from the space coordinates."
b. At that time, space and time were
not yet differentiated, and the locality did not have any meaning. The world
was still in the state of entangled as an undivided wholeness where non-locality
prevailed.
c.
It is more appropriate to refer to
it as action, the union of energy and time, Et.
d.
The ancients seemed to be aware of
the existence of such a primordial world which they called cosmic egg where
chaos prevailed.
e. Physicists consider this phenomenon
is wrongly interpreted as Big Bang, a primeval explosion that marked the
beginning of the expanding universe.
f.
We use the 3-dimensional space,
hypersurface or hyperinterface interchangeably.
g. The interplay of the positive and
negative energy at the opposite sides of the hypersurface creates quantum
fields across through its surface igniting quantum sparks ("quarks")
which we perceive as fundamental particles.
h. Just like a roll film of the movie
consisting of a series of pictures separated by gaps of
"nothingness," the reality consists of the real localized world
(hypersurface) and the potential non-localized world of nothingness.
i. The gross sum of a composite
spectrum of higher dimensional energies (eons) which can be expressed
mathematically as the Laurent series and holomorphically mapped as Riemann
sphere indicates that the dimensions of the outer ambient spacetime is limited
and cannot be infinite.
References:
1.
Einstein, A.:" The Meaning of
Relativity," Princeton University Press, Princeton, New Jersey, 1988, p.
31.
2.
Penrose, R.:" The Road to
Reality," Vintage Books, London, 2004, p. 387.
3.
Herbert, N.:" Quantum
Reality," Anchor Book, Doubleday, New York, 1985.
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Showing posts with label wavefunction. Show all posts
Showing posts with label wavefunction. Show all posts
Friday, March 1, 2013
The Quantum Reality Interpretation as It Should Be
Monday, June 18, 2012
Why the Grand Relativity Theory? (Part IV)
Our
world is only shadows, mere projections from the reality beyond our ordinary
space and time. Despite its apparent materiality and enormous size, the
[3D]-space and its contents do not exist of itself. With its material contents,
space perpetually appears and disappears at the rate equal to the speed of
light, creating a dynamic dimension that we call time.
The world around us
seems to persist because nobody can see the discontinuity of time, which
interval is in the order of 10-44 seconds. What we recognize as the
passage of time is nothing but the manifestation of the creation and
annihilation of series of 1044 3D-space in a second a).
Space is a series of spaces, one to the next, separated by a gap of nonexistence.
Within such a gap of
nonexistence b), the locality no longer has any meaning. It
manifests the undivided wholeness in which all become united and entangled. At
such non-locality, the speed limit does not have any sense as no matter, and
even light exists, only energy does.
The nonexistence is far
from being a vacuum state. It is a plenum full of energy, the ground for all
existence, inanimate and animate beings. The matter is merely an ephemeral
derivative of energy perpetually created and annihilated under the interaction
of the opposite positive and negative energy c).
The sequence locality
and non-locality (Figure-1) taking place in a series at the rate equal to the
speed of light fashions the passage of time. As the quantum measurement can only
take the snapshot of the existence and not the whole series of the
existence-nonexistence, it gives us perception as though the act of measurement
collapses the wavefunction d).
The successive
transformation of the local and nonlocal orders is, therefore, not in
point-to-point correspondence. It is the underlying probabilistic feature of
quantum mechanics against the classical deterministic mechanism.
In a grander picture of
the cosmos, this dynamic, temporary space is like a front-wave propagating at
the speed of light across an unimaginably vast ocean of high energy (Figure-2).
This front-wave perpetually rises and dissipates above and below the level of
the surface of the sea.
In Bohm’s notion, this
dynamic phenomenon is called the unfoldment of the implicate order and
enfoldment of the explicate order e), like what implies in the
hologram f). According to Bohm 1, the universe
is like a kind of sizeable dynamic hologram or holo-movement.
It is only at this wave
structure (unfolded order) that every materialized thing is localized. In this
front-wave, the universe where we live, the local order implies. It is what we
call the present time, its surrounding surface, and the vast ocean beneath it,
is nonlocal (enfolded order) g).
This super-implicate order is the foundation that
has given birth to everything in our universe. This infinite sea of energy must
contain every configuration of created matter, energy, and more sophisticated forms of energy, i.e.,
information (knowledge), consciousness, intelligence, and life h). We may visualize those as
multilayer grand cosmos, each layer representing an individual universe is
embedded one within another, in successively higher and higher dimensions
(Figure-3) i).
What the fantastic thing
is that the working of the universe seems to conform to that of the human
brain. Karl Pribram 2, a neurophysiologist at Stanford
University, discovered the brain works under the hologram mechanism j).
He concluded that if the brain works following the holographic model, then so
does the universe.
The world around us was
just an illusion. The universe and everything within existing only in a series
of a fraction of seconds successively separated by gaps of nonexistence.
Notwithstanding, as both the brain and cosmos work at the same mechanism and
rhythm, we the human being feel at home as we are unaware of experiencing such
weird underlying reality.
This grand relativity
theory is the theory of everything in its proper meaning.
[The end of the series]
Notes:
a.
There is no such [material] thing that
persists in nature. Everything "within" space perpetually appears and
disappears "through" time, except the energy which alone continues.
The persistence of matter and space is just an illusion.
b. In the state of nonexistence, everything dissolves
into energy. As such, space and time have no meaning; the nonlocal order
implies.
c. Energy as everything else in nature is the blending of
its opposing parts, the positive and negative energies as implicitly expressed
in the relativistic energy equation E2=m2c4+p2c2.
The 4D-spacetime is split into two sections as the positive and negative
energies globally segregating from each other. The interface of opposing
energies is the 3D-hypersurface (3D-space) on which their interactions create
particles. This interaction occurs as the quantum fields generated by the
opposite energies piercing through the interface igniting quantum sparks
("quarks") we perceive as particles.
d. The wavefunction describes the gross sum of the
manifestation of local-nonlocal orders mathematically. All the laws of motion
in quantum mechanics correspond to enfoldment and unfoldment. Bohm put forward
that the propagator (Green's function) determines the relation between the
wavefunction at one time and its form at another time.
e. Our current concepts of order, which have lasted for
centuries, are based on Descartes's ideas, who introduced coordinate systems to
describe the order in the physical process. The Cartesian grid and those of
curvilinear coordinates essentially described a local order of separate points.
However, the quantum realm doesn't take this kind of local order and seems to
have no significant order which Bohm called implicit or enfolded order. This
kind of nonlocal order is what hologram does have.
f. The enfolded order which applies within such a nonlocal
unbroken wholeness is what David Bohm called the implicate order, taking the
analogy of the "order" produced in a hologram where each of its
regions makes possible an image of the whole object. Rather than being in
point-to-point correspondence, the entire object is enfolded in each part of
the universe. Our classical notions of localized order imply in spacetime arise
as limiting cases of the deeper implicate order. The manifest level of everyday
experience and the quantum level underlying it emerges from a still deeper
implicate level in which the classical Cartesian notions of form, order, and
structure have more or less dissolved. Bohm believed that the implicate order
would be more suitable for expressing the fundamental laws of nature than the
explicate order, which is only a particular case of the general rule.
g. Bohm described the universe as a comparatively small
pattern of excitation. It is a ripple on the infinite ocean of energy, which is
a deeper order enfolded in the warp of reality. Bohm failed to elucidate his
idea more explicitly by describing geometrically i.e., the relative number of
dimensions of the ripple vis-a-vis that of the ocean of energy. People blame
his description of the universe in terms of implicate and explicate order to be
merely a metaphor.
h. We may call all of the later (information,
consciousness, intelligence, and life) energy but in different degrees of
sophistication (dimensions). Nothingness in the sense of an absolute term in
which it is devoid of matter and energy or anything else, emptiness, vacuum,
absolute nonexistence, or whatever you call it is just pure human imagination.
i.
The dimensions shown in the figure
are relative. We should bear in mind that each of those individuals (energy,
information, consciousness, intelligence, and life) may have different levels
of existence and, those, the variety of their dimensions.
j.
He found that memories do not localize at
specific brain side but somehow spread out throughout the brain. Every part of
the brain contains all the information necessary to recall a whole memory, just
like the hologram of which every small fragment of a piece of holographic film
contains all the information recorded on the whole.
References:
1.
Bohm, D. et al.:
"The Undivided Universe," Routledge, London, 1993, p. 374-380.
2.
Talbot, M.: "The
Holographic Universe," HarperPerennial, New York, 1992, p. 46-49
3.
Bohm, D. et al.:
"The Undivided Universe," Routledge, London, 1993, p. 350-355.
Why the Grand Relativity Theory? (Part IV)
Tuesday, October 19, 2010
Energy, Spacetime and Riemann Sphere
The ultimate goal of the special relativity theory, if we
are aware of, is the unification of the spacetime and energy. The union of
these two would reveal the reality of energy which differs entirely from what
we used to think about. Energy is a substance whose geometrical structure is
reflected by the dimensionality of its spacetime.
Our ordinary [four-dimensional] spacetime is the physical
manifestation of the energy whose vibrations are four-dimensional. As a
[three-dimensional] human being we can only perceive this pure energy through
its superficial three-dimensional aspect. Many underlying higher-dimensional
ambient spaces which physicists have discovered, as they are adventuring deeper
and deeper into the micro-world realms, are nothing but the reflections of
various hyper-vibrations energies.
The relativity theory demonstrates that energy as a whole is inherently composed of positive and negative energies, as implicitly expressed in the relativistic energy equation E2 = m2c4 + p2c2. The segregation of its opposite parts that resulted in the split of energy created a 3-hypersurface (space) between the two halves of its separated respective spacetime. The world was not created through the "big" tiny bang bursting out of nothing.
In the quantum realm, energy as a wave can be described
proportionally to its frequency as expressed by the Planck equation, E=hv. We can express the energy, not only
microscopically but also macroscopically, in term of the wavefunction whose
character is completely holistic and non-local. However, the more natural way
for us to grasp, is to express it in a periodic function such as a Fourier
series a) or its complex form: the Laurent series b).
In the relativistic framework, we map events in a complex
plane where we express time in term of an imaginary variable. In such a plane,
we have a Laurent series written as:
f(z) = F+(z) + c0
+ F–(z),
which is a wave function expressed as the sum of its
positive frequency (F+(z)) and negative frequency (F–(z)).
Physically, the constant term c0 represents the real space at
t=0 (the present now). This c0, wholly or partially, becomes either
the part of F+(z) or F–(z) or maybe both. However, as
there is only positive energy, at least in this corner of the world where we
live in, the space (c0) should be part of the positive ocean of
energy, F+(z), and on the other side of the world it should be part
of negative ocean of energy, F-(z).
Geometrically,
we can figure out this more clearly in terms of the Riemann sphere, the
stereographic projection of the complex plane. On this sphere, we can transform
the real axis (X) of the complex plane into a circle located on the
equator, while the imaginary time coordinate (it) by the longitudinal circles. The positive frequency F+(z)
extends holomorphically into the southern hemisphere, and the negative
frequency F–(z) extends holomorphically into the northern hemisphere
(Figure 1).
From this description, we have a complete similarity between
that of purely mathematical geometry with the relativistic (Minkowski)
spacetime geometry (Figure 2 A and B). The real circle on the Riemann sphere
represents the 3-hypersurface (space) in the Minkowski 4-spacetime which
separates it into two 4-halves. The positive energy segregates to one half, and
the negative energy segregates to the other half of the spacetime. We can These
two halves are respectively represented by the southern and northern
hemispheres on the Riemann sphere. The real circle on the Riemann sphere and
the hypersurface in the Minkowski spacetime, each represents the loci of all
matters which may exist in the whole universe.
With this simple mathematical representation, we can have a deeper insight into how nature may work. As we have figured out previously, the real circle in the Riemann sphere represents the space, and the imaginary circle represents the time path. As time passes by along the imaginary circle, space (real circle) is rotating accordingly along the time direction (imaginary circle). As time flows resemble electric current, space is also rotating on its plane following the right-hand rule. The rotation of this space as a whole rotates, in turn, all celestial bodies from the super-galaxies down to galaxies, solar systems, and the earth.
Energy, Spacetime and Riemann Sphere
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