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Physics of the Dark Universe 2 (2013) 195–199
Contents lists available at ScienceDirect
Physics of the Dark Universe
journal homepage: www.elsevier.com/locate/dark
Spontaneous creation of the Universe Ex Nihilo
Maya Lincoln*
, Avi Wasser
University of Haifa, Haifa 31905, Israel
a r t i c l e i n f o
Keywords:
Universe creation
Ex Nihilo
Bit-based information
Symmetry
a b s t r a c t
Questions regarding the formation of the Universe and ‘what was there’ before it came to existence have
been of great interest to mankind at all times. Several suggestions have been presented during the ages –
mostly assuming a preliminary state prior to creation. Nevertheless, theories that require initial conditions
are not considered complete, since they lack an explanation of what created such conditions. We therefore
propose the ‘Creatio Ex Nihilo’ (CEN) theory, aimed at describing the origin of the Universe from ‘nothing’ in
information terms. The suggested framework does not require amendments to the laws of physics: but rather
provides a new scenario to the Universe initiation process, and from that point merges with state-of-the-art
cosmological models. The paper is aimed at providing a first step towards a more complete model of the
Universe creation – proving that creation Ex Nihilo is feasible. Further adjustments, elaborations, formalisms
and experiments are required to formulate and support the theory.
c 2013 The Authors. Published by Elsevier B.V.
1. Introduction
Questions regarding the formation of the Universe and ‘what was
there’ before it came to existence have been of great interest to
mankind at all times. Many suggestions have been presented dur-
ing the ages – mostly assuming a preliminary state prior to creation.
Currently, the most commonly accepted state-of-the-art theory
for the Universe creation is the hot Big-Bang theory, stating that the
Universe has expanded from a primordial hot and dense initial condi-
tion. The Big-Bang theory has been extremely successful in correlating
the observable properties of the Universe with the known underlying
physical laws [1]. Yet, this theory cannot describe what came before
the Big-Bang event and also what happened during the first miniscule
time-fraction after the initial Big-Bang (Planck time).
In general, any model of the Universe creation that involves pre-
liminary conditions or requires an initial state is incomplete since it
lacks an explanation of what created these initial conditions. There-
fore, we adopt the vision of a “flash of Universe appearing from noth-
ing” [2], assuming that the starting phase of the Universe adheres
with the “principle of ignorance,” and that “singularity is the ultimate
unknowable, and therefore should be totally devoid of information”
[3].
Only a few theories were suggested in accordance to this line of
thought. Vilenkin suggested a cosmological scenario for the creation
* Corresponding author. .
E-mail addresses: maya.lincoln@processgene.com (M. Lincoln)
awasser@research.haifa.ac.il (A. Wasser).
of the Universe from “nothing” (the author’s words) [4,5]. His pro-
posed scenario interacts gravitational and matter fields, and a sym-
metric vacuum state that has a nonzero energy density. Therefore, the
initial state does not, in fact, represent an absolute, pure, ‘nothing.’
Another work – by Tryon, suggested that our Universe was created
spontaneously from nothing (“Ex Nihilo”) as a “quantum fluctuation
of some pre-existing true vacuum, or state of nothingness” [2,6]. Fol-
lowing this line of thought, the Universe is a fluctuation of the vacuum
in the sense of the quantum field theory. Therefore, the initial state is
not property-less, and it requires an explanation of how fluctuations
can evolve from ‘nothingness.’ In the same manner, also theories that
support the emergence of the Universe by quantum tunneling [7],
from vacuum in quantum-cosmology or from the string perturbative
vacuum [8–11] encounter the above mentioned limitations.
To overcome these deficiencies, we suggest a new theory, ‘Creatio
Ex Nihilo’ (CEN), aimed at describing the origin of the Universe from
‘nothing’ in information terms.
The notion of bit-based information at the core of the Universe
evolvement is not new. This trend suggests that the physical world
is “made of information, with energy and matter as incidentals” [12].
Accordingly, information gives rise to “every it – every particle, every
field of force, even the spacetime continuum itself” [13]. Therefore,
what we refer to as reality, “arises in the last analysis from the posing
of yes-no questions” [13]. Vedral, on the same line, claimed that in-
formation is the building block from which everything is constructed
and that all natural phenomena can be explained in information terms
[14]. Information, he argues, is the only appropriate entity on which
the ultimate theory of everything should be based.
In this work we further elaborate these concepts, and show how
bit-based information, dimensions, forces and dynamicity can evolve
from a ‘null’ information state. CEN does not require any amendments
2212-6864 c 2013 The Authors. Published by Elsevier B.V.
http://dx.doi.org/10.1016/j.dark.2013.11.004
Open access under CC BY-NC-ND license.
Open access under CC BY-NC-ND license.
196 M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199
to the laws of physics: it features a new scenario to the Universe
initiation event, and from that point merges with state-of-the-art
cosmological models.
The paper is aimed at providing a first step towards a more com-
plete model of the Universe creation – eliminating the requirement
for preliminary conditions. The emphasis of the paper and its main
goal is proving how the Universe creation could occur Ex Nihilo in in-
formation terms. Further adjustments, elaborations, formalisms and
experiments are required to formulate and support the theory, and
are not within this paper’s scope.
2. Creatio Ex Nihilo
To explain the suggested theory, CEN, we outline a schematic route
map consisting of two ‘traffic’ lines. The first line features the Big-Bang
stream of research and the second presents the CEN theory (see illus-
tration in Fig. 1). The Big-Bang theory commences from an unknown
state followed by a ‘Big-Crunch’ – a hot and dense initial condition.
CEN, on the other hand, assumes initiation at a state of ‘nothing’
which is then transformed into ‘information’ due to a Spontaneous
Symmetry Break (SSB). Following the formation of information, and
in order to explain the further steps in the Universe creation process,
we present two alternatives for integrating CEN with the Big-Bang
theory. According to the first option (merge point A), CEN amalga-
mates with the Big-Bang theory through a conversion of information
into energy. Alternatively, the theories merge at point B, with the ad-
dition of an additional phase in CEN, in which forces and dynamicity
naturally emerge from the state of ‘information.’ After either of the
merge points, the Universe continues its development according to
the Big-Bang theory.
In the following sections we elaborate on the CEN theory and
review its major milestones.
2.1. In the beginning
According to the newly suggested theory, CEN, in the beginning
there was nothing – no material, no energy, no space and no time.
This situation was fully symmetric with no entropy. Therefore, this
initial state was allegedly static, with no motive for change.
In terms of information, ‘nothing’ is equivalent to an infinite num-
ber of simultaneous Nullifying Information Elements (NIEs) – infor-
mation elements that co-exist simultaneously and cancel each other.
Each such element represents either a being – existence of something,
or the cancellation of that existence, no-being. In information terms,
such NIEs resemble the notion of “bits.” For convenience, we will use
this term throughout the paper, while naming the information ele-
ment that represents existence as bit + and the one that represents
no-existence as bit−. The number of bits of each type is infinite. Each
bit + element can co-exist simultaneously with each bit− element,
or equivalently, can co-exist with all of the bit− elements with an
equal probability, and vice versa. To illustrate the above notion, an in-
finite number of simultaneous, co-existing, bit + elements and bit−
elements are illustrated in Fig. 2.
2.2. The creation of information
The co-existence of opposite nullifying elements derives a match-
ing necessity within the compendium of simultaneous NIEs. Any spe-
cific match of opposite NIEs would influence other matches, by re-
ducing the set of available matching options. Assuming an infinite
amount of NIEs of each type, each group of elements of the same type
remains equivalent with the potential addition of several other ele-
ments. These potentially additional elements also require matching,
which can be carried out in different patterns, e.g. by matching to an
un-matched potentially additional opposite NIE, or by replacing an
already matched opposite NIE. Therefore, the potentially additional
NIEs can cause a Spontaneous Symmetry Break (SSB) – by changing
the matching arrangement of other NIEs which are matched to other
elements, re-causing additional changes, etc.
The above description is in-line with the description of SSB in liter-
ature. First, the actual breaking can happen only if some asymmetrical
causal factors, such as random perturbations or fluctuations are intro-
duced to the model [15]. In our model the potentially additional NIEs
cause an SSB by introducing potential random fluctuations. Second, in
the “no boundary conditions” cosmology, favored by several modern
cosmologists, there is also no information in the initial conditions –
that are entirely symmetrical [16], and therefore all information must
arise through symmetry breaking [17].
Due to the Spontaneous Symmetry Break, new relationships be-
tween NIEs are generated. The simplest example is the formation of
new pairs of opposite NIEs. Other examples can be more complex, for
instance, when each element is related to more than one NIEs with
relative probabilities (or weights) that sum to 100%, as illustrated in
Fig. 3. We name each such separate group of NIEs as “infoelement,” a
combination of the words “information” and “element.”
It can be argued that some infoelements generated as a result
of the initial SSB were not necessarily symmetrical, as illustrated in
Fig. 4. In general, it is maintained that an asymmetry can only be
resulted from a preceding asymmetry [18]. Nevertheless, when an SSB
is caused by fluctuations, asymmetric systems can still be resulted –
due to the following arguments: first, when eliminating the random
perturbations, the ‘broken symmetrical’ solution comprises a set of
degenerate ground states, each of which breaks the symmetry but all
of which together preserve it; and second, if we consider the random
perturbations, then “no asymmetry in” is no longer true [15]. Note that
asymmetric infoelements are also imbalanced – since some of their
NIEs are matched to their opposite NIEs with a cumulative probability
of less than 100%. From this reason, such asymmetric infoelements
will ‘tend’ to change, in order to complete their ‘loose ends.’
The new organizations of NIEs represent information. Therefore,
the SSB is actually the cause for the creation of information.
Additionally, it can be noted that due to the above described pro-
cess, each of the infoelements, resulted from the SSB, consists its own
intrinsic laws of organization. For example, the organization of NIEs in
‘infoelement#3’ (Fig. 3a) implicates that ‘corner’ elements are related
only to two other elements with probability of 50%; ‘internal-frame’
elements are related to three other elements with probabilities of
25%, 25% and 50%; and ‘internal’ elements are related to four other
elements with probability of 25% each. In addition, there are also
relativity relationships among each type of infoelements. For exam-
ple, it can be indicated that ‘frame’ elements of infoelement#2 have
‘stronger’ relationships to each other comparing to those of infoele-
ment#3.
Note that the separability between infoelements may not be as
clear-cut as presented in the above examples (Figs. 3 and 4). NIEs
of some infoelements may be connected also to ‘external’ NIEs (that
belong to other infoelements) with very low probabilities, and in this
‘non-ideal’ case, separability is only an approximation. This situation
resembles a song played on the radio – the song seems separate for us
although we hear some background noises as well. Having said that,
for simplicity only, and without limiting the proposed theory, we will
continue referring to infoelements as purely separated information
chunks.
In addition to separability and organization formation, the SSB is
also responsible for the creation of dimensions. For instance, in Fig.
3, infoelement#3 and infoelement#2 can be both interpreted as two-
dimensional information compounds, whereas infoelement#1 can be
interpreted as a one-dimensional information compound. Note that
in this example, there is no meaning for infoelements with three or
more dimensions (e.g., a three-dimensional ‘cube’ of an equal number
of bit− and bit + elements can be represented in this example as a
‘flattened’ cube with two dimensions).
M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 197
Fig. 1. A schematic route map of the Big-Bang theory and the CEN theory. The blue time-line represents major milestones addressed by the Big-Bang theory, and the green line
represents those of the CEN theory. Joints A and B point out alternative merge points. (For interpretation of the references to colour in this figure legend, the reader is referred to
the web version of this article.)
Fig. 2. ‘Nothing’ in information terms. In terms of information, ‘nothing’ is equivalent
to an infinite number of simultaneous NIEs. The dashed arrows symbolize possible
co-existence relationships between bit + and bit− pairs.
Fig. 3. Information formation as a result of a Spontaneous Symmetry Break. Each
element is related to more than one Nullifying Information Elements with relative
probabilities that sum to 100%. In part b, for example, two (bit + , bit−) pairs are
reordered so that each bit− element is related (co-exists) to each of the bit + elements
with an equal probability of 50%, and each of the bit + elements are related to the bit−
elements in a similar manner. Parts a and c represent additional examples to possible
infoelement structures.
2.3. Integration option A – conversion of information into energy
At this phase (merge point A in Fig. 1), following the formation of
information, we present an option for integrating CEN with the Big-
Bang theory. We rely on the notion that information and energy are
closely related [12,19], and that information can even be converted
Fig. 4. Examples of asymmetrical and imbalanced infoelements. Some infoelements
generated as a result of the initial SSB were not necessarily symmetrical, e.g.: (1) an
unmatched NIE (part a); (2) an infoelement with an odd-number of NIEs (part b); or a
less symmetrical infoelement (part c).
into energy [20]. Taking these notions one step forwards, if informa-
tion is a form of energy, then CEN provides an explanation to the
preliminary state and the most initial time segment of the Big-Bang,
as an energy burst that was ignited ‘Ex Nihilo.’ From this phase of
energy creation, the Universe continues developing according to the
common Big-Bang model (energy is converted into various subatomic
particles, and so on).
The newly suggested theory has the following advantages over the
Big-Bang singularity notion: first, it does not require an explanation of
what came before and what caused the initial state of singularity; and
secondly, it does not require any initial conditions (e.g., the existence
of condensed material or energy).
2.4. Integration option B – the emergence of forces, energy and
dynamicity
In option B we present an additional phase in CEN, in which forces
and dynamicity naturally emerge from the state of ‘information.’ To
facilitate the discussion, from this point on, we will refer to the com-
pendium of all NIEs and their relationships as the ‘Universe platform’
– the most basic entity from which the Universe, as we know it, has
evolved.
After the first, initial SSB, the constant presence of potentially ad-
ditional NIEs continuously causes information changes and generates
additional SSBs, each affecting some or all of the relationships be-
tween NIEs. These potentially additional NIEs violate the information
balance, causing information changes. Changes are carried out based
198 M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199
on the ‘aspiration’ of each NIE to reach a complete match with oppo-
site NIEs. This mechanism is the source of dynamicity in the Universe
platform, and the dynamicity laws are based on the above NIE balance
aspiration. The mathematics of the exact dynamicity in the Universe
platform is beyond the scope of this paper.
It is possible to consider the matching relationships between NIEs
as forces that operate on the NIEs (to maintain their match). According
to this description, each NIE has a potential energy, determined by
the NIE’s relative ‘position,’ meaning, its structure of relationships to
other NIEs. When information is changed due to potentially additional
NIEs, these changes are in accordance with the current force fields. In
other words, when changes occur, the connecting forces between NIEs
are expressed, with strength relative to the relationship probability.
For example, in Fig. 3 the connections of Infoelement#2 are weaker
(with lower probabilities) than those of Infoelement#1, and therefore
Infoelement#2 will tend to break apart more easily due to potentially
additional NIEs or additional SSBs. The matching propensity between
NIEs is therefore the source of forces in the Universe platform.
The emergence of forces and dynamicity explain the source of
energy in the Universe. Following this phase, CEN and the Big-Bang
can integrate (merge point B in Fig. 1), and the Universe continues to
evolve according to the Big-Bang theory.
2.4.1. The Universe as a self-excited machine
From a philosophical viewpoint, we can conceive the Universe
platform as a self-excited machine as follows. We can refer to the dy-
namicity laws in the Universe platform as the ‘code of the Universe’ or
the ‘code of nature.’ In the beginning, the hypothetical Universe ma-
chine is self-ignited from ‘nothing.’ In the next phases, it ‘holds’ at each
time the current Universe state (information), which encapsulates the
probabilities of the next arrangement. An input of potentially addi-
tional NIEs triggers the ‘reading’ of the code of the Universe/nature.
As a result, the code is executed, changes are ‘computed’ and im-
plemented – in terms of new relationships between NIEs, and as a
consequence the machine ‘outputs’ the next Universe state (informa-
tion).
3. Evidence and support
This section presents evidence and experiments that support CEN’s
predictions. Some of the supporting phenomena are not predicted by
any other theory in physics, hence emphasizing CEN’s importance.
CEN is supported by the current laws of physics as well as by
state-of-the-art experiments in the following ways:
1. The second law of thermodynamics. According to CEN, every change
in the Universe is a result of symmetry reduction. This notion is
supported by the second law of thermodynamics, according to
which the entropy of an isolated system never decreases, because
isolated systems spontaneously evolve towards thermodynamic
equilibrium – the state of maximal entropy.
2. Virtual particles in vacuum. According to quantum electrodynamics
(QED) and quantum chromodynamics (QCD), virtual particle pairs
are continuously being created and annihilated in the vacuum.
These virtual particles can be revealed in several experiments,
for example, when placing two uncharged metallic plates in the
vacuum (the Casimir effect).
This phenomenon is predicted by CEN. In fact, CEN is the only
theory that predicts the exact mechanism responsible for this phe-
nomenon. In CEN terms, these virtual particles are referred to as
“potentially additional elements” that appear from ‘nothing’ and
nullify each other (see Section 2.2). Note that although in Section
2.2 the potentially additional elements are presented as ‘bits,’ the
same mechanism allows also the appearance of nullifying bit com-
pounds, like virtual particle pairs. This is an integral process in CEN
that happens on a regular basis, and everywhere in space.
Moreover, according to CEN, potentially additional elements are
served as triggers for changes in the Universe. This notion is sup-
ported by experiments in which virtual particles serve as triggers
to physical processes. For example, β-decay (in which a neutron
decays to a proton, an electron, and an anti-neutrino) is carried-
out via a virtual (mediating) W boson. In fact, as stated in [21],
most particle processes are mediated by virtual-carrier particles.
3. Matter and anti-matter. The existence of matter and antimatter is
a built-in property in CEN. According to CEN, the Universe was
formed by bits and anti-bits, or particles and anti-particles (see
above). In addition, the first infoelements could represent infor-
mation and anti-information (the existence of ‘something’ and the
non-existence of this ‘something’).
CEN also predicts the creation of matter and anti-matter from
the vaccum in the following way. According to CEN, matter and
antimatter can be originated as virtual particle pairs (potentially
additional elements), and become “real” due to their attachment
to information in the Universe, by causing a symmetry break. This
notion of matter and antimatter creation from the vacuum is sup-
ported by experiments. For example, the work in [22] show how
it is possible to generate matter and antimatter from the vacuum
using high-energy electron beam combined with an intense laser
pulse.
CEN can also provide an explanation to the observed matter and
antimatter asymmetry (the excess of baryonic matter over an-
tibaryonic matter) in the following way. First, CEN allows a non-
equal number of particles vs. anti-particles at the initial state of the
Universe (the state after the first SSB). Second, even if the Universe
began with an equal amounts of matter and antimatter, at any later
time, a potentially additional element (in this case-particle) may
either nullify an anti-particle or join to the information in the Uni-
verse – in both cases leaving the Universe with unequal amounts
of baryonic and antibaryonic matter. In principle, the processes
of both nullification and addition of particles/antiparticles from
and to the Universe is symmetric (should involve both matter
and anti-matter with equal probability). Nevertheless, at a limited
time period (as opposed to infinity), there is a non-zero probability
for unequal number of nullifications and additions of antimatter
vs. matter – which can cause a noticeable amount of matter over
antimatter in the Universe.
In addition, experiments show that the excess of baryons over
antibaryons, known as ‘baryon number,’ is constant. According to
CEN, this number can marginally change in time, but this change
is unlikely since there is an equal probability of matter and anti-
matter nullification and addition. Therefore, in practice, the baryon
number should be relatively fixed (minor changes will not be no-
ticeable in the Universe).
4. Symmetry in the Universe. In general, CEN predicts an inherent
symmetry in the Universe, which in some cases can break spon-
taneously. A great number of phenomena demonstrate vast sym-
metry in the Universe, and a great number of physical processes
involve symmetry breaks. In fact, “all the physics of elementary
particles, relies heavily on the ideas of symmetry and broken sym-
metry” [23].
5. Non-local influences. Experiments in quantum mechanics demon-
strate the existence of non-local influences on particles and sys-
tems, e.g. due to particle entanglement [24]. CEN includes a built-
in mechanism for non-local influences, and hence supports these
experiments. According to CEN, all data in the Universe is inter-
connected and can be influenced by any change of information.
SSBs, for example, can change the balance (structure) of several
disconnected infoelements at the same time.
In addition to the above evidence and experiments that support
CEN’s predictions, there is also a theoretical consideration that prefers
CEN over other Universe creation theories, and specifically over the
M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 199
initial Universe state sustained by the Big-Bang theory. CEN intro-
duces a much simpler model to the initial state of the Universe due to
the following reasons: (1) it is the only theory that does not require
any prior initial state; and (2) it does not require an inflation phase.
Therefore, according to Occam’s raiser – CEN is a more adequate the-
ory for the initial Universe formation event than the Big-Bang theory
that assumes a preliminary primordial hot and dense state – with an
unknown origin.
4. Discussion and future work
This paper presents a model for the Universe creation ‘Ex Nihilo.’
The proposed theory’s main advantage is that it does not require any
explanations of the physics prior to the Universe creation. This stream
of research can also provide an explanation to several unexplained
phenomena, such as the second law of thermodynamics, the existence
of virtual particles in vacuum, the source of symmetry in the Universe,
the evolution of matter and anti-matter, and non-local influences in
quantum mechanics.
The paper provides a first step towards a more complete model
of the Universe creation – proving that creation Ex Nihilo is feasible.
Further adjustments, elaborations, formalisms and experiments are
required to formulate and support the theory. Two of such elabora-
tions include: (1) formulating the mathematics of the dynamicity laws
in the Universe platform; and (2) modeling specific mechanisms re-
sponsible for the evolvement of observed phenomena in the Universe,
and in particular life itself. Such future research could demonstrate
how complex and unpredictable phenomena can be generated from
a small set of rules, and how it is possible to simulate dynamic life
and other computational processes from a small amount of initial in-
formation. Possible directions for such future research may be based
on the discovery of information structures that maintain ‘life’ prop-
erties such as ‘survival,’ ‘growth,’ and ‘duplication’ during changes in
the Universe; or representing the evolvement of information in the
Universe either as an extended case of a cellular automaton, or as an
artificial neuron network.
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Spontaneous creation of the universe ex nihil by maya lincoln and avi wasser

  • 1. Physics of the Dark Universe 2 (2013) 195–199 Contents lists available at ScienceDirect Physics of the Dark Universe journal homepage: www.elsevier.com/locate/dark Spontaneous creation of the Universe Ex Nihilo Maya Lincoln* , Avi Wasser University of Haifa, Haifa 31905, Israel a r t i c l e i n f o Keywords: Universe creation Ex Nihilo Bit-based information Symmetry a b s t r a c t Questions regarding the formation of the Universe and ‘what was there’ before it came to existence have been of great interest to mankind at all times. Several suggestions have been presented during the ages – mostly assuming a preliminary state prior to creation. Nevertheless, theories that require initial conditions are not considered complete, since they lack an explanation of what created such conditions. We therefore propose the ‘Creatio Ex Nihilo’ (CEN) theory, aimed at describing the origin of the Universe from ‘nothing’ in information terms. The suggested framework does not require amendments to the laws of physics: but rather provides a new scenario to the Universe initiation process, and from that point merges with state-of-the-art cosmological models. The paper is aimed at providing a first step towards a more complete model of the Universe creation – proving that creation Ex Nihilo is feasible. Further adjustments, elaborations, formalisms and experiments are required to formulate and support the theory. c 2013 The Authors. Published by Elsevier B.V. 1. Introduction Questions regarding the formation of the Universe and ‘what was there’ before it came to existence have been of great interest to mankind at all times. Many suggestions have been presented dur- ing the ages – mostly assuming a preliminary state prior to creation. Currently, the most commonly accepted state-of-the-art theory for the Universe creation is the hot Big-Bang theory, stating that the Universe has expanded from a primordial hot and dense initial condi- tion. The Big-Bang theory has been extremely successful in correlating the observable properties of the Universe with the known underlying physical laws [1]. Yet, this theory cannot describe what came before the Big-Bang event and also what happened during the first miniscule time-fraction after the initial Big-Bang (Planck time). In general, any model of the Universe creation that involves pre- liminary conditions or requires an initial state is incomplete since it lacks an explanation of what created these initial conditions. There- fore, we adopt the vision of a “flash of Universe appearing from noth- ing” [2], assuming that the starting phase of the Universe adheres with the “principle of ignorance,” and that “singularity is the ultimate unknowable, and therefore should be totally devoid of information” [3]. Only a few theories were suggested in accordance to this line of thought. Vilenkin suggested a cosmological scenario for the creation * Corresponding author. . E-mail addresses: maya.lincoln@processgene.com (M. Lincoln) awasser@research.haifa.ac.il (A. Wasser). of the Universe from “nothing” (the author’s words) [4,5]. His pro- posed scenario interacts gravitational and matter fields, and a sym- metric vacuum state that has a nonzero energy density. Therefore, the initial state does not, in fact, represent an absolute, pure, ‘nothing.’ Another work – by Tryon, suggested that our Universe was created spontaneously from nothing (“Ex Nihilo”) as a “quantum fluctuation of some pre-existing true vacuum, or state of nothingness” [2,6]. Fol- lowing this line of thought, the Universe is a fluctuation of the vacuum in the sense of the quantum field theory. Therefore, the initial state is not property-less, and it requires an explanation of how fluctuations can evolve from ‘nothingness.’ In the same manner, also theories that support the emergence of the Universe by quantum tunneling [7], from vacuum in quantum-cosmology or from the string perturbative vacuum [8–11] encounter the above mentioned limitations. To overcome these deficiencies, we suggest a new theory, ‘Creatio Ex Nihilo’ (CEN), aimed at describing the origin of the Universe from ‘nothing’ in information terms. The notion of bit-based information at the core of the Universe evolvement is not new. This trend suggests that the physical world is “made of information, with energy and matter as incidentals” [12]. Accordingly, information gives rise to “every it – every particle, every field of force, even the spacetime continuum itself” [13]. Therefore, what we refer to as reality, “arises in the last analysis from the posing of yes-no questions” [13]. Vedral, on the same line, claimed that in- formation is the building block from which everything is constructed and that all natural phenomena can be explained in information terms [14]. Information, he argues, is the only appropriate entity on which the ultimate theory of everything should be based. In this work we further elaborate these concepts, and show how bit-based information, dimensions, forces and dynamicity can evolve from a ‘null’ information state. CEN does not require any amendments 2212-6864 c 2013 The Authors. Published by Elsevier B.V. http://dx.doi.org/10.1016/j.dark.2013.11.004 Open access under CC BY-NC-ND license. Open access under CC BY-NC-ND license.
  • 2. 196 M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 to the laws of physics: it features a new scenario to the Universe initiation event, and from that point merges with state-of-the-art cosmological models. The paper is aimed at providing a first step towards a more com- plete model of the Universe creation – eliminating the requirement for preliminary conditions. The emphasis of the paper and its main goal is proving how the Universe creation could occur Ex Nihilo in in- formation terms. Further adjustments, elaborations, formalisms and experiments are required to formulate and support the theory, and are not within this paper’s scope. 2. Creatio Ex Nihilo To explain the suggested theory, CEN, we outline a schematic route map consisting of two ‘traffic’ lines. The first line features the Big-Bang stream of research and the second presents the CEN theory (see illus- tration in Fig. 1). The Big-Bang theory commences from an unknown state followed by a ‘Big-Crunch’ – a hot and dense initial condition. CEN, on the other hand, assumes initiation at a state of ‘nothing’ which is then transformed into ‘information’ due to a Spontaneous Symmetry Break (SSB). Following the formation of information, and in order to explain the further steps in the Universe creation process, we present two alternatives for integrating CEN with the Big-Bang theory. According to the first option (merge point A), CEN amalga- mates with the Big-Bang theory through a conversion of information into energy. Alternatively, the theories merge at point B, with the ad- dition of an additional phase in CEN, in which forces and dynamicity naturally emerge from the state of ‘information.’ After either of the merge points, the Universe continues its development according to the Big-Bang theory. In the following sections we elaborate on the CEN theory and review its major milestones. 2.1. In the beginning According to the newly suggested theory, CEN, in the beginning there was nothing – no material, no energy, no space and no time. This situation was fully symmetric with no entropy. Therefore, this initial state was allegedly static, with no motive for change. In terms of information, ‘nothing’ is equivalent to an infinite num- ber of simultaneous Nullifying Information Elements (NIEs) – infor- mation elements that co-exist simultaneously and cancel each other. Each such element represents either a being – existence of something, or the cancellation of that existence, no-being. In information terms, such NIEs resemble the notion of “bits.” For convenience, we will use this term throughout the paper, while naming the information ele- ment that represents existence as bit + and the one that represents no-existence as bit−. The number of bits of each type is infinite. Each bit + element can co-exist simultaneously with each bit− element, or equivalently, can co-exist with all of the bit− elements with an equal probability, and vice versa. To illustrate the above notion, an in- finite number of simultaneous, co-existing, bit + elements and bit− elements are illustrated in Fig. 2. 2.2. The creation of information The co-existence of opposite nullifying elements derives a match- ing necessity within the compendium of simultaneous NIEs. Any spe- cific match of opposite NIEs would influence other matches, by re- ducing the set of available matching options. Assuming an infinite amount of NIEs of each type, each group of elements of the same type remains equivalent with the potential addition of several other ele- ments. These potentially additional elements also require matching, which can be carried out in different patterns, e.g. by matching to an un-matched potentially additional opposite NIE, or by replacing an already matched opposite NIE. Therefore, the potentially additional NIEs can cause a Spontaneous Symmetry Break (SSB) – by changing the matching arrangement of other NIEs which are matched to other elements, re-causing additional changes, etc. The above description is in-line with the description of SSB in liter- ature. First, the actual breaking can happen only if some asymmetrical causal factors, such as random perturbations or fluctuations are intro- duced to the model [15]. In our model the potentially additional NIEs cause an SSB by introducing potential random fluctuations. Second, in the “no boundary conditions” cosmology, favored by several modern cosmologists, there is also no information in the initial conditions – that are entirely symmetrical [16], and therefore all information must arise through symmetry breaking [17]. Due to the Spontaneous Symmetry Break, new relationships be- tween NIEs are generated. The simplest example is the formation of new pairs of opposite NIEs. Other examples can be more complex, for instance, when each element is related to more than one NIEs with relative probabilities (or weights) that sum to 100%, as illustrated in Fig. 3. We name each such separate group of NIEs as “infoelement,” a combination of the words “information” and “element.” It can be argued that some infoelements generated as a result of the initial SSB were not necessarily symmetrical, as illustrated in Fig. 4. In general, it is maintained that an asymmetry can only be resulted from a preceding asymmetry [18]. Nevertheless, when an SSB is caused by fluctuations, asymmetric systems can still be resulted – due to the following arguments: first, when eliminating the random perturbations, the ‘broken symmetrical’ solution comprises a set of degenerate ground states, each of which breaks the symmetry but all of which together preserve it; and second, if we consider the random perturbations, then “no asymmetry in” is no longer true [15]. Note that asymmetric infoelements are also imbalanced – since some of their NIEs are matched to their opposite NIEs with a cumulative probability of less than 100%. From this reason, such asymmetric infoelements will ‘tend’ to change, in order to complete their ‘loose ends.’ The new organizations of NIEs represent information. Therefore, the SSB is actually the cause for the creation of information. Additionally, it can be noted that due to the above described pro- cess, each of the infoelements, resulted from the SSB, consists its own intrinsic laws of organization. For example, the organization of NIEs in ‘infoelement#3’ (Fig. 3a) implicates that ‘corner’ elements are related only to two other elements with probability of 50%; ‘internal-frame’ elements are related to three other elements with probabilities of 25%, 25% and 50%; and ‘internal’ elements are related to four other elements with probability of 25% each. In addition, there are also relativity relationships among each type of infoelements. For exam- ple, it can be indicated that ‘frame’ elements of infoelement#2 have ‘stronger’ relationships to each other comparing to those of infoele- ment#3. Note that the separability between infoelements may not be as clear-cut as presented in the above examples (Figs. 3 and 4). NIEs of some infoelements may be connected also to ‘external’ NIEs (that belong to other infoelements) with very low probabilities, and in this ‘non-ideal’ case, separability is only an approximation. This situation resembles a song played on the radio – the song seems separate for us although we hear some background noises as well. Having said that, for simplicity only, and without limiting the proposed theory, we will continue referring to infoelements as purely separated information chunks. In addition to separability and organization formation, the SSB is also responsible for the creation of dimensions. For instance, in Fig. 3, infoelement#3 and infoelement#2 can be both interpreted as two- dimensional information compounds, whereas infoelement#1 can be interpreted as a one-dimensional information compound. Note that in this example, there is no meaning for infoelements with three or more dimensions (e.g., a three-dimensional ‘cube’ of an equal number of bit− and bit + elements can be represented in this example as a ‘flattened’ cube with two dimensions).
  • 3. M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 197 Fig. 1. A schematic route map of the Big-Bang theory and the CEN theory. The blue time-line represents major milestones addressed by the Big-Bang theory, and the green line represents those of the CEN theory. Joints A and B point out alternative merge points. (For interpretation of the references to colour in this figure legend, the reader is referred to the web version of this article.) Fig. 2. ‘Nothing’ in information terms. In terms of information, ‘nothing’ is equivalent to an infinite number of simultaneous NIEs. The dashed arrows symbolize possible co-existence relationships between bit + and bit− pairs. Fig. 3. Information formation as a result of a Spontaneous Symmetry Break. Each element is related to more than one Nullifying Information Elements with relative probabilities that sum to 100%. In part b, for example, two (bit + , bit−) pairs are reordered so that each bit− element is related (co-exists) to each of the bit + elements with an equal probability of 50%, and each of the bit + elements are related to the bit− elements in a similar manner. Parts a and c represent additional examples to possible infoelement structures. 2.3. Integration option A – conversion of information into energy At this phase (merge point A in Fig. 1), following the formation of information, we present an option for integrating CEN with the Big- Bang theory. We rely on the notion that information and energy are closely related [12,19], and that information can even be converted Fig. 4. Examples of asymmetrical and imbalanced infoelements. Some infoelements generated as a result of the initial SSB were not necessarily symmetrical, e.g.: (1) an unmatched NIE (part a); (2) an infoelement with an odd-number of NIEs (part b); or a less symmetrical infoelement (part c). into energy [20]. Taking these notions one step forwards, if informa- tion is a form of energy, then CEN provides an explanation to the preliminary state and the most initial time segment of the Big-Bang, as an energy burst that was ignited ‘Ex Nihilo.’ From this phase of energy creation, the Universe continues developing according to the common Big-Bang model (energy is converted into various subatomic particles, and so on). The newly suggested theory has the following advantages over the Big-Bang singularity notion: first, it does not require an explanation of what came before and what caused the initial state of singularity; and secondly, it does not require any initial conditions (e.g., the existence of condensed material or energy). 2.4. Integration option B – the emergence of forces, energy and dynamicity In option B we present an additional phase in CEN, in which forces and dynamicity naturally emerge from the state of ‘information.’ To facilitate the discussion, from this point on, we will refer to the com- pendium of all NIEs and their relationships as the ‘Universe platform’ – the most basic entity from which the Universe, as we know it, has evolved. After the first, initial SSB, the constant presence of potentially ad- ditional NIEs continuously causes information changes and generates additional SSBs, each affecting some or all of the relationships be- tween NIEs. These potentially additional NIEs violate the information balance, causing information changes. Changes are carried out based
  • 4. 198 M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 on the ‘aspiration’ of each NIE to reach a complete match with oppo- site NIEs. This mechanism is the source of dynamicity in the Universe platform, and the dynamicity laws are based on the above NIE balance aspiration. The mathematics of the exact dynamicity in the Universe platform is beyond the scope of this paper. It is possible to consider the matching relationships between NIEs as forces that operate on the NIEs (to maintain their match). According to this description, each NIE has a potential energy, determined by the NIE’s relative ‘position,’ meaning, its structure of relationships to other NIEs. When information is changed due to potentially additional NIEs, these changes are in accordance with the current force fields. In other words, when changes occur, the connecting forces between NIEs are expressed, with strength relative to the relationship probability. For example, in Fig. 3 the connections of Infoelement#2 are weaker (with lower probabilities) than those of Infoelement#1, and therefore Infoelement#2 will tend to break apart more easily due to potentially additional NIEs or additional SSBs. The matching propensity between NIEs is therefore the source of forces in the Universe platform. The emergence of forces and dynamicity explain the source of energy in the Universe. Following this phase, CEN and the Big-Bang can integrate (merge point B in Fig. 1), and the Universe continues to evolve according to the Big-Bang theory. 2.4.1. The Universe as a self-excited machine From a philosophical viewpoint, we can conceive the Universe platform as a self-excited machine as follows. We can refer to the dy- namicity laws in the Universe platform as the ‘code of the Universe’ or the ‘code of nature.’ In the beginning, the hypothetical Universe ma- chine is self-ignited from ‘nothing.’ In the next phases, it ‘holds’ at each time the current Universe state (information), which encapsulates the probabilities of the next arrangement. An input of potentially addi- tional NIEs triggers the ‘reading’ of the code of the Universe/nature. As a result, the code is executed, changes are ‘computed’ and im- plemented – in terms of new relationships between NIEs, and as a consequence the machine ‘outputs’ the next Universe state (informa- tion). 3. Evidence and support This section presents evidence and experiments that support CEN’s predictions. Some of the supporting phenomena are not predicted by any other theory in physics, hence emphasizing CEN’s importance. CEN is supported by the current laws of physics as well as by state-of-the-art experiments in the following ways: 1. The second law of thermodynamics. According to CEN, every change in the Universe is a result of symmetry reduction. This notion is supported by the second law of thermodynamics, according to which the entropy of an isolated system never decreases, because isolated systems spontaneously evolve towards thermodynamic equilibrium – the state of maximal entropy. 2. Virtual particles in vacuum. According to quantum electrodynamics (QED) and quantum chromodynamics (QCD), virtual particle pairs are continuously being created and annihilated in the vacuum. These virtual particles can be revealed in several experiments, for example, when placing two uncharged metallic plates in the vacuum (the Casimir effect). This phenomenon is predicted by CEN. In fact, CEN is the only theory that predicts the exact mechanism responsible for this phe- nomenon. In CEN terms, these virtual particles are referred to as “potentially additional elements” that appear from ‘nothing’ and nullify each other (see Section 2.2). Note that although in Section 2.2 the potentially additional elements are presented as ‘bits,’ the same mechanism allows also the appearance of nullifying bit com- pounds, like virtual particle pairs. This is an integral process in CEN that happens on a regular basis, and everywhere in space. Moreover, according to CEN, potentially additional elements are served as triggers for changes in the Universe. This notion is sup- ported by experiments in which virtual particles serve as triggers to physical processes. For example, β-decay (in which a neutron decays to a proton, an electron, and an anti-neutrino) is carried- out via a virtual (mediating) W boson. In fact, as stated in [21], most particle processes are mediated by virtual-carrier particles. 3. Matter and anti-matter. The existence of matter and antimatter is a built-in property in CEN. According to CEN, the Universe was formed by bits and anti-bits, or particles and anti-particles (see above). In addition, the first infoelements could represent infor- mation and anti-information (the existence of ‘something’ and the non-existence of this ‘something’). CEN also predicts the creation of matter and anti-matter from the vaccum in the following way. According to CEN, matter and antimatter can be originated as virtual particle pairs (potentially additional elements), and become “real” due to their attachment to information in the Universe, by causing a symmetry break. This notion of matter and antimatter creation from the vacuum is sup- ported by experiments. For example, the work in [22] show how it is possible to generate matter and antimatter from the vacuum using high-energy electron beam combined with an intense laser pulse. CEN can also provide an explanation to the observed matter and antimatter asymmetry (the excess of baryonic matter over an- tibaryonic matter) in the following way. First, CEN allows a non- equal number of particles vs. anti-particles at the initial state of the Universe (the state after the first SSB). Second, even if the Universe began with an equal amounts of matter and antimatter, at any later time, a potentially additional element (in this case-particle) may either nullify an anti-particle or join to the information in the Uni- verse – in both cases leaving the Universe with unequal amounts of baryonic and antibaryonic matter. In principle, the processes of both nullification and addition of particles/antiparticles from and to the Universe is symmetric (should involve both matter and anti-matter with equal probability). Nevertheless, at a limited time period (as opposed to infinity), there is a non-zero probability for unequal number of nullifications and additions of antimatter vs. matter – which can cause a noticeable amount of matter over antimatter in the Universe. In addition, experiments show that the excess of baryons over antibaryons, known as ‘baryon number,’ is constant. According to CEN, this number can marginally change in time, but this change is unlikely since there is an equal probability of matter and anti- matter nullification and addition. Therefore, in practice, the baryon number should be relatively fixed (minor changes will not be no- ticeable in the Universe). 4. Symmetry in the Universe. In general, CEN predicts an inherent symmetry in the Universe, which in some cases can break spon- taneously. A great number of phenomena demonstrate vast sym- metry in the Universe, and a great number of physical processes involve symmetry breaks. In fact, “all the physics of elementary particles, relies heavily on the ideas of symmetry and broken sym- metry” [23]. 5. Non-local influences. Experiments in quantum mechanics demon- strate the existence of non-local influences on particles and sys- tems, e.g. due to particle entanglement [24]. CEN includes a built- in mechanism for non-local influences, and hence supports these experiments. According to CEN, all data in the Universe is inter- connected and can be influenced by any change of information. SSBs, for example, can change the balance (structure) of several disconnected infoelements at the same time. In addition to the above evidence and experiments that support CEN’s predictions, there is also a theoretical consideration that prefers CEN over other Universe creation theories, and specifically over the
  • 5. M. Lincoln, A. Wasser / Physics of the Dark Universe 2 (2013) 195–199 199 initial Universe state sustained by the Big-Bang theory. CEN intro- duces a much simpler model to the initial state of the Universe due to the following reasons: (1) it is the only theory that does not require any prior initial state; and (2) it does not require an inflation phase. Therefore, according to Occam’s raiser – CEN is a more adequate the- ory for the initial Universe formation event than the Big-Bang theory that assumes a preliminary primordial hot and dense state – with an unknown origin. 4. Discussion and future work This paper presents a model for the Universe creation ‘Ex Nihilo.’ The proposed theory’s main advantage is that it does not require any explanations of the physics prior to the Universe creation. This stream of research can also provide an explanation to several unexplained phenomena, such as the second law of thermodynamics, the existence of virtual particles in vacuum, the source of symmetry in the Universe, the evolution of matter and anti-matter, and non-local influences in quantum mechanics. The paper provides a first step towards a more complete model of the Universe creation – proving that creation Ex Nihilo is feasible. Further adjustments, elaborations, formalisms and experiments are required to formulate and support the theory. Two of such elabora- tions include: (1) formulating the mathematics of the dynamicity laws in the Universe platform; and (2) modeling specific mechanisms re- sponsible for the evolvement of observed phenomena in the Universe, and in particular life itself. Such future research could demonstrate how complex and unpredictable phenomena can be generated from a small set of rules, and how it is possible to simulate dynamic life and other computational processes from a small amount of initial in- formation. Possible directions for such future research may be based on the discovery of information structures that maintain ‘life’ prop- erties such as ‘survival,’ ‘growth,’ and ‘duplication’ during changes in the Universe; or representing the evolvement of information in the Universe either as an extended case of a cellular automaton, or as an artificial neuron network. References [1] M. Griffiths, C. Oliveira, The big bang – a hot issue in science communication Commun. Astron. Public J. 10 (2010) 7. [2] E. Tryon, Is the universe a vacuum fluctuation Nature (London) 246 (5433) (1973) 396–397. [3] S. Hawking, Breakdown of predictability in gravitational collapse Phys. Rev. D 14 (10) (1976) 2460. [4] A. 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