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Problem of the direct quantum-
information transformation of
chemical substance
The “Trigger field” from sci-fi to science
Vasil Penchev
Bulgarian Academy of Sciences: Institute for the Study of Societies and
Knowledge (Institute for Philosophical Research): Dept. of Logical
Systems and models
vasildinev@gmail.com
ISPC’20 - 2016
Boca Raton, FL, USA: 1-4 August 2016
International Society for the Philosophy of Chemistry:
20th Annual Conference
Introduction
A sci-fi idea
• Arthur Clark and Michael Kube–McDowell (“The Triger”,
1999) suggested the sci-fi idea about the direct
transformationfrom a chemical substance into another by
the action of a newly physical, “Trigger” field
• Karl Brohier, a Nobel Prize winner, who is a dramatic persona
in the novel, elaborates a new theory, re-reading and re-
writing Pauling’s “The Nature of the Chemical Bond”
• According to Brohier: “Information organizes and
differentiates energy. It regularizes and stabilizes matter.
Information propagates through matter-energy and
mediates the interactions of matter-energy”
A sci-fi idea
• Dr Horton, his collaboratorin the novel replies: “If the
universe consists of energy and information,then the Trigger
somehow alters the information envelope of certain
substances –“
• “Alters it, scrambles it, overwhelms it, destabilizes it” Brohier
adds
Michael P. Kube-McDowell
(1954.29.08- )
Arthur C. Clarke (1917.12.16 - 2008.03.19)
New York : Bantam Books (1999)
From quantum chemistry to quantum-
information chemistry
• There is a scientific debate whether or how far chemistry is
fundamentally reducible to quantum mechanics
• Nevertheless, the fact that many essential chemical
properties and reactions are at least partly representable in
terms of quantum mechanics is doubtless
• For the quantum mechanics itself has been reformulated as
a theory of a special kind of information,quantum
information,chemistry might be in turn interpreted in the
same terms
Wave function in quantum information
• Wave function, the fundamental concept of quantum
mechanics, can be equivalently defined as a series of qubits,
eventually infinite
• A qubit, being defined as the normed superpositionof any
two orthogonalsubspaces of the complex Hilbert space, can
be interpreted as a generalization of the standard bit of
information as to infinite sets or series:
• Indeed, if a bit represents the choice between two equally
probable alternatives, one can prove that a qubit is
equivalent to the choice of an alternative from an infinite set
of aternatives
The Standard model and quantum
information
• All “forces” in the Standard model, which are furthermore essential
for chemical transformations,are groups U(1), SU(2), SU(3) of the
transformations of the separable complex Hilbert space and thus, of
series of qubits
• U(1) correspondsto electromagnetic interaction, SU(2) to weak one,
and SU(3) to strong one
• Being symmetries of the above Hilbert space, all interactions can be
represented within a single qubit after the axiom of choice
correspondingly as the wave equivalents of a reference frame: the
former ones are conserved, and the latter one is privileged
The separable
complex Hilbert space
A single qubit
(inside)
(outside)
Axiom of induction
U(1), SU(2), SU(3)
Space-timeEnergy-momentum
U(1) refers to the transfor-
mation of a point into
a 3D sphere( surface)
SU(2)⤑[U’(1)]X[U”(1)]and refers to the
transformation of two points into two 3D
spheres (surfaces)
SU(3)⤑[S’(2)]X[SU”(2)]X[SU”’(2)]and
refers to the transformationof three points
into three 3D spheres
Space-timeEnergy-momentum
U(1) refers to the transfor-
mation of a point into
a 3D sphere( surface)
SU(2)⤑[U’(1)]X[U”(1)]and refers to the
transformation of two points into two 3D
spheres (surfaces)
SU(3)⤑[S’(2)]X[SU”(2)]X[SU”’(2)]and
refers to the transformationof three points
into three 3D spheres
The three symmetries U(0), SU(2), SU(3) as the corresponding
conservation of three 3D points define a privileged reference frame
interpretable as what is: at rest, immovable, zero information; and vice
versa: those three symmetries are the quantum (or “wave”) counterpart
of that privileged reference frame
The three symmetries U(0), SU(2), SU(3) as the corresponding
conservation of three 3D points define a privileged reference frame
interpretable as what is: at rest, immovable, zero information; and vice
versa: those three symmetries are the quantum (or “wave”) counterpart
of that privileged reference frame
The “classical” bond refers only to U(0) and only of electrons, even only
of valent electrons from the last layer of the atomic shell
Then, one can generalize ‘chemical bond’ to comprise all three
symmetries (interactions) between any systems of elementary particles:
The sense of that chemical bond is it to pin stably in a tiny space-time
area a few entangled wave functions
Thus entanglement is what is universal, and the chemical bonds both
depend on the privileged reference frame and are only “pinners” for
the stable entanglement of wave functions
The “Trigger field”?
• One can suggest that any chemical substances and changes
are fundamentally representable as quantum information
and its transformations
• If entanglement is interpreted as a physical field, though any
group above seems to be unattachable to it, it might be
identified as the “Triger field”
• It might cause a direct transformationof any chemical
substance by from a remote distance
• Is this possible in principle?
Prehistory and background
Chemistry and the “old” quantum theory
• Chemistry has seemed to be underlain by quantum mechanics
since the age of the “old” quantum theory suggested by Niels
Bohr and others to explain the complex build of atom
• The periodic table of all chemical elements invented by
D. Mendeleev could be explained elementary by the unique
electron configuration(“shell”) featuring any chemical element
• The chemical bonds are unambiguously determined by the
corresponding electron configurations
• Thus, the atomic structure of nucleus and electron shell was
very successfully involved to explain ‘chemical bond’
Radioactivity and nuclear bombardment
• The boundary between chemistry and physics was overcome
modifying the atoms of a chemical element into another
only by physical action such as the bombardment of nuclei
by high-energy particles
• New chemical elements, which cannot be found in nature
because of their short half-life, were synthesized artificially
• The phenomena of radioactivity also linked chemistry and
quantum mechanics directly
• Both artificial bombardment and natural radioactivity could
realize the “alchemic dream” for direct transformation of a
chemical element into another, particularly in gold
Divergence
• The direct transformationof chemical elements erased the
boundary between ‘chemical element’ and ‘chemical
compound’
• However the “reactions” transforming directly chemical
elements turn out to be in the realm of physics unlike those
transforming chemical compounds being in chemistry
• As a result the further development of chemistry and
quantum mechanics move away them from each other
Independently of all those exceptional successes and the
corresponding series of Nobel prizes unifying chemistry and
physics
Chemical bond and physical interactions
• Only one of the four known physical interactions, namely the
electromagnetic one, refers to chemistry being both strong enough
and acting at any distance
• The strong interaction though “strong” cannot overcome the
distance between the atoms or molecules
• The gravitational one can really do this, but it is too weak to cause
any meaningful effect
• At last, the weak one combines both disadvantages
• The chemical bonds need only electron configurationsto be
explained paying no attention to all the rest elementary particles
Chemistry without quantum mechanics
• The properties of chemical compoundsespecially organic ones
depend essentially on the molecular structures, and the
thermodynamic properties of huge ensembles, on the impurities as
well, etc.
• The chemical reactions depend on concentrations,thermodynamic
quantities, catalysts, etc.
• All those enumerated ingredients or conditionsdo not seem to refer
directly to quantum mechanics though they are exceptionally
essential for chemical cognition though many aspects of chemical
reaction admit quantum explanation including even catalysis
Wave function chemistry
The universal viewpoint
• However, quantum mechanics offers a universal viewpoint to all
chemical elements or compounds being quantum systems as all in
the material world
• They can be exhaustedly described by their wave functions, which
are modelled as elements (or “points”) in the separable complex
Hilbert space
• Then, any physical quantity is described by a corresponding self-
adjoint operator changing only the probabilities corresponding to
one and the same values for the quantity at issue to be measured
• All self-adjoint operators share the property of unitarity
interpretable as energy conservation
Physics as a particular case of chemistry
• The chemical reactions might be defined by arbitrary
operators on the separable complex Hilbert space, among
which the self-adjoint ones are only a quite particular case
• That viewpoint considers physics as a particular case of
chemistry rather than the opposite
• Quantum (information) mechanics is what might justify that
chemical “ideology” of the being
• Thus, the initial trends of the “old” quantum mechanics to
unifying chemistry and physics seem to be restorable by
wave function chemistry including physics as chemistry of
non-entangled wave functions
Quantum field and chemistry
• All known until now physical interactions are suggested to be able to
be described as quantum fields where a certain wave function is
attached to any point of space-time
• This is experimentally well-confirmed as to the strong, weak, and
electromagnetic interaction unified in their joint Standard model,
and it is yet a hypothesis as to gravity
• Then a new problem appears: what happens if two or more quantum
fields and thus wave functions are available in any space-time point?
• How can one represent the resultative singe quantum field in those
space-time points by the initial quantum fields?
• In other words, how do quantum fields interact directly?
The direct acting of quantum fields
• One can assume a special kind of generalized quantum field acting
directly to the separable complex Hilbert space rather than indirectly
by the meditation of space-time as the known quantum fields in
physics
• It will be reducible to the above known quantum fields in space-time in
the case of self-adjoint operators, but furthermore it would include the
general case of arbitrary operators on the separable complex Hilbert
space, i.e. all quantum representations of any chemical reactions
• Its action might cause the direct change of any chemical substance into
another at a distance without any mediation of any chemical reaction
The “Trigger field” from sci-fi to science
The “Trigger” field as a theoretical option
• That theoretical option admitted by quantum mechanics is
explored and described in the sci-fi novel “The Trigger” by Arthur
Clark and Michael Kube–McDowell (1999)
• That kind of hypothetical quantum field is called there “Trigger
field”
• It was found occasionally in the novel after it had caused bursts in
all weaponsand ammunition in a certain radius because of the
change of their chemical contains
• The experiments for creating “gravitational laser” were what had
leaded the discovery of the “Trigger field” as the novel tell us
The scientific base of the “Trigger field”
• Furthermore, information underlies energy and matter according to
the scientific conception in the novel
• The Trigger field changes directly the information base of any energetic
or material entity such as any chemical substance therefore
transforming it into another according to the applied quality and
quantity of that field
• Any chemical substance is figured to represent a certain information
packet, and the Trigger field transforms directly that information
therefore transforming the packet and thus chemical substance into
another
• Indeed, any chemical substance is a class of wave functions and thus a
value of quantum information: the “Trigger field” should be a
quantum-informationfield in the framework of contemporary science
The “Trigger field” as quantum-information
field
• Consequently, the Trigger field is meant and expressively
emphasized by the authors as a field of information directly
changing the information featuring any chemical substance
• Furthermore, physics is considered to be a particular case of
chemistry in the conceptual framework of a new
fundamental theory elaborated by one of the personages of
the novel, Karl Brohier, a Nobel Prize winner
• Information underlies energy and matter in Karl Brohier’s
new theory: indeed quantum information as wave functions
underlies energy and matter according to quantum
mechanics
From sci-fi to science
• What might correspond to the Trigger field in the framework
of contemporary science is entanglement and the theory of
quantum information studying the phenomena of
entanglement
• Quantum information is a generalization of information
introduced by quantum mechanics to reformulate its
concepts, quantities and equations in terms of information
• Quantum information is a quantity measured in qubits just
as informationis measured in bits
• The axes of the separable complex Hilbert space can be
represented as “empty” qubits, and any wave function as a
certain value of quantum information
Quantum information
A bit & a qubit
• A bit is defined as the choice between two equally probable
alternatives, and a qubit can be equivalently defined as its
generalization as the choice between an infinite set of
alternatives
• Its original formulation in theory of quantum information
means the normed superposition of two orthogonal
subspaces of the separable complex Hilbert space:
𝐴𝐴 𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞 ≝ 0 𝛼𝛼 + 𝛽𝛽 1 , 𝛼𝛼, 𝛽𝛽 𝜖𝜖 𝐶𝐶: 𝛼𝛼 2
+ 𝛽𝛽 2
= 1,
0 , 1 are two orthogonalsubspaces such as two
successive axes of the above Hilbert space
Hilbert space as quantum information
• Thus the separable complex Hilbert space itself can be
represented as a series of “empty qubits”, in each of which
can be “recorded” a value representing a normed pair of
complex numbers
• Then any wave function would be a certain value of the free
variable of quantum information as what the separable
complex Hilbert space can be considered
• The state of any quantum system being always a wave
function can be exhaustedly represented as a value of
quantum information
Entanglement of quantum fields
• The phenomena of entanglement can be defined as the direct
interaction of quantum fields, which are not independent of each
other in at least one space-time point
• If they are independent of each other, their correspondingHilbert
spaces are orthogonalsubspaces of the common Hilbert space of
their joint system, and the latter in turn is decomposable into a
tensor product of the compound Hilbert spaces
• One can discuss what happens in a certain space-time point, in
which two or more dependable quantum fields are available and
thus interact with each other
Entanglement as non-unitary interaction
• Most generally, the probability of that point to be randomly chosen
after measurement will depend nonlinearly on all constituting
quantum subfields
• If the interacting quantum fields are only two, any pair
corresponding qubits will generate a new resultative qubits
referring to the joint resultative quantum field, after which the
values of the new qubit can be elementarily calculated as the sums
of the values of the initial qubits and the phase difference (rotation)
between them
• This means that the wave function in an arbitrary space-time point
can be arbitrarily changed because of the action of another or
other quantum field(s)
The absence of standalone quantum field
• Furthermore, any standalone quantum field, which is not generated
by a certain quantum entity having energy and eventually mass at
rest, is not yet known or found
• Anyway, principles or causes not to exist that standalone quantum
field without any energetic carrier are not known,too
• Then, in the framework of contemporary physical knowledge, the
removing of the carriers of quantum fields generating entanglement a
great distance away will restore the initial wave function, for example,
that of a single chemical substance
• In other words, the stability of chemical substance needs a certain
space-time “pinner” such as a chemical bond
The new sense of chemical bond
• That is: the stable modification of a wave function such as that in a
chemical compound in comparisonwith its components needs a
corresponding stable space-time aggregation to be constituted to
be able to guarantee the long-time entanglement of the
constituting wave functions
• Chemical bond based on two electrons with opposed spins in one
and same state (i.e. sharing one and the same wave function)
realizes that necessary aggregate
• However the bond does not refer to the properties of the
compound,which can be explained only by the complete
modificationof the constituting wave functions into a single and
entangled one
Chemical substance on the base of
quantum information
Chemical compound
• The attempt for the properties of chemical compound to be explained
thoroughly by the initial properties of the ingredients and the chemical
bonds between them fails
• It should be displaced by the complex nonlinear interaction of the
constituent wave functions into entanglement conditioning properly
the new and quite different properties of the compound
• One can think philosophically wave function as arbitrarily many
quantities, each of which is a quality divided from any other by a gap
• Further, the non-unitarity of entanglement admit both finite (within a
quantity) and transfinite (through the gaps between different
quantities) swaps and correspondingquantitative or qualitative
changes
The entangled wave function of the compound
The (non-entangled) wave function of a chemical substance
QuantitiesQualities
*************************
(finite)
******************************
(finite) (trans-
finite)
********************* ******************************
(finite)
***********************************************************************
Quantities
Qualities
finite swap ******************************
(finite) (trans-
finite)
********************* ******************************
(finite)
trans
finite
swap
Catalysis
• Furthermore, entanglement can well explain how the catalysts act:
• They modify by entanglement the wave function at least of one of
the ingredients of a chemical reaction, however without to constitute
(long-time) chemical bounds
• The modified wave function is already much abler to be further
entangled and held by chemical bonds in the compoundultimate for
the catalysed reaction
• The catalysts go out of the reaction unchangedfor they cannot
interact with the ultimate compound
• Thus catalysis utilizes intermediate entanglements without (long-
time) bonds as the short-time stages to the entanglement of the
ultimate compound
The direct transformation of chemical energy
into mechanical motion and vice versa
• Entanglement conserves energy-momentum rather than energy
and momentum separately for it is non-unitary in definition
• One can say that entanglement conserves quantum
information,which is equivalent to the physical quantity of
action by the meditation of the fundamental Planck constant
• This may explain the way, in which chemical energy interacts
immediately with the thermodynamic quantities such as
pressure, temperature, volume, mechanical energy and
differently defined energies in the course of chemical reaction
All elementary particles as the generalized
chemical substance
• One can consider all quantum particles within a generalization of
‘chemical compound’where the necessary space-time aggregation for
more or less stable entanglement is realized by any interaction and
fundamental particles able to do that rather than only
electromagnetic one and electrons as in the chemical compound in a
narrow sense
• Indeed, the strength and infinite range of electromagnetic interaction
complemented by the atom structure including an external electron
shell, which can be shared constituting chemical bonds, assists much
for that variety of chemical compounds on the macroscopic scale
studied by classical science and human experience
Both “old” chemistry and generalized
chemistry
• Similarly, strong and weak interactions as well as electromagnetic
one, out of chemical compoundsin a narrow sense as above, are
able also to generate more or less stable compoundsheld of
corresponding bonds (which can be seen as generalized chemical
bonds)
• Independently of the difference in the kind of bonds, they share the
same essence to modify the properties for the new joint entangled
wave function
• Thus one can introduce a “chemistry of weak or strong interaction”,
or electromagnetic interaction out of the standard theory of
chemical compounds
The structure of the paper itself instead of
a conclusion
The paper is organized as follows:
• Section 1, INTRODUCTION is similar to this presentation
• Section 2 introduces a few basic concepts for the
reinterpretation of quantum mechanics in terms of quantum
information
• Section 3 introduces the concept of entanglement and the
way, in which it allows for chemical compoundand the
meaning of chemical bond to be reinterpreted
• Section 4 explains the action of catalysts and thermodynamic
conditionsof chemical reaction on the base of entanglement
The paper is organized as follows:
• Section 5 discusses the generalization of the concept of
chemical compound onto the area of all elementary particles
studied by physics
• Section 6 consider the direct question whether the “Trigger
field” described by A. Clark and M. Kube–McDowell might
exist in nature or be created artificially
• Section 7 is devoted to philosophicaland metaphysical
conclusions as well as to methodological corollaries
• The last Section 8 summarizes the paper from the viewpoint
of future research
The paper:
You can find the entire paper in Internet typing the title
Problem of the direct quantum-informationtransformation
of chemical substance
in any search engine such as Google, Bing, etc.
Thank you so much for your kind attention!
Any questions or comments, please!

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Problem of the direct quantum-information transformation of chemical substance

  • 1. Problem of the direct quantum- information transformation of chemical substance The “Trigger field” from sci-fi to science
  • 2. Vasil Penchev Bulgarian Academy of Sciences: Institute for the Study of Societies and Knowledge (Institute for Philosophical Research): Dept. of Logical Systems and models vasildinev@gmail.com ISPC’20 - 2016 Boca Raton, FL, USA: 1-4 August 2016 International Society for the Philosophy of Chemistry: 20th Annual Conference
  • 4. A sci-fi idea • Arthur Clark and Michael Kube–McDowell (“The Triger”, 1999) suggested the sci-fi idea about the direct transformationfrom a chemical substance into another by the action of a newly physical, “Trigger” field • Karl Brohier, a Nobel Prize winner, who is a dramatic persona in the novel, elaborates a new theory, re-reading and re- writing Pauling’s “The Nature of the Chemical Bond” • According to Brohier: “Information organizes and differentiates energy. It regularizes and stabilizes matter. Information propagates through matter-energy and mediates the interactions of matter-energy”
  • 5. A sci-fi idea • Dr Horton, his collaboratorin the novel replies: “If the universe consists of energy and information,then the Trigger somehow alters the information envelope of certain substances –“ • “Alters it, scrambles it, overwhelms it, destabilizes it” Brohier adds
  • 6. Michael P. Kube-McDowell (1954.29.08- ) Arthur C. Clarke (1917.12.16 - 2008.03.19) New York : Bantam Books (1999)
  • 7. From quantum chemistry to quantum- information chemistry • There is a scientific debate whether or how far chemistry is fundamentally reducible to quantum mechanics • Nevertheless, the fact that many essential chemical properties and reactions are at least partly representable in terms of quantum mechanics is doubtless • For the quantum mechanics itself has been reformulated as a theory of a special kind of information,quantum information,chemistry might be in turn interpreted in the same terms
  • 8. Wave function in quantum information • Wave function, the fundamental concept of quantum mechanics, can be equivalently defined as a series of qubits, eventually infinite • A qubit, being defined as the normed superpositionof any two orthogonalsubspaces of the complex Hilbert space, can be interpreted as a generalization of the standard bit of information as to infinite sets or series: • Indeed, if a bit represents the choice between two equally probable alternatives, one can prove that a qubit is equivalent to the choice of an alternative from an infinite set of aternatives
  • 9. The Standard model and quantum information • All “forces” in the Standard model, which are furthermore essential for chemical transformations,are groups U(1), SU(2), SU(3) of the transformations of the separable complex Hilbert space and thus, of series of qubits • U(1) correspondsto electromagnetic interaction, SU(2) to weak one, and SU(3) to strong one • Being symmetries of the above Hilbert space, all interactions can be represented within a single qubit after the axiom of choice correspondingly as the wave equivalents of a reference frame: the former ones are conserved, and the latter one is privileged
  • 10. The separable complex Hilbert space A single qubit (inside) (outside) Axiom of induction U(1), SU(2), SU(3) Space-timeEnergy-momentum U(1) refers to the transfor- mation of a point into a 3D sphere( surface) SU(2)⤑[U’(1)]X[U”(1)]and refers to the transformation of two points into two 3D spheres (surfaces) SU(3)⤑[S’(2)]X[SU”(2)]X[SU”’(2)]and refers to the transformationof three points into three 3D spheres
  • 11. Space-timeEnergy-momentum U(1) refers to the transfor- mation of a point into a 3D sphere( surface) SU(2)⤑[U’(1)]X[U”(1)]and refers to the transformation of two points into two 3D spheres (surfaces) SU(3)⤑[S’(2)]X[SU”(2)]X[SU”’(2)]and refers to the transformationof three points into three 3D spheres The three symmetries U(0), SU(2), SU(3) as the corresponding conservation of three 3D points define a privileged reference frame interpretable as what is: at rest, immovable, zero information; and vice versa: those three symmetries are the quantum (or “wave”) counterpart of that privileged reference frame
  • 12. The three symmetries U(0), SU(2), SU(3) as the corresponding conservation of three 3D points define a privileged reference frame interpretable as what is: at rest, immovable, zero information; and vice versa: those three symmetries are the quantum (or “wave”) counterpart of that privileged reference frame The “classical” bond refers only to U(0) and only of electrons, even only of valent electrons from the last layer of the atomic shell Then, one can generalize ‘chemical bond’ to comprise all three symmetries (interactions) between any systems of elementary particles: The sense of that chemical bond is it to pin stably in a tiny space-time area a few entangled wave functions Thus entanglement is what is universal, and the chemical bonds both depend on the privileged reference frame and are only “pinners” for the stable entanglement of wave functions
  • 13. The “Trigger field”? • One can suggest that any chemical substances and changes are fundamentally representable as quantum information and its transformations • If entanglement is interpreted as a physical field, though any group above seems to be unattachable to it, it might be identified as the “Triger field” • It might cause a direct transformationof any chemical substance by from a remote distance • Is this possible in principle?
  • 15. Chemistry and the “old” quantum theory • Chemistry has seemed to be underlain by quantum mechanics since the age of the “old” quantum theory suggested by Niels Bohr and others to explain the complex build of atom • The periodic table of all chemical elements invented by D. Mendeleev could be explained elementary by the unique electron configuration(“shell”) featuring any chemical element • The chemical bonds are unambiguously determined by the corresponding electron configurations • Thus, the atomic structure of nucleus and electron shell was very successfully involved to explain ‘chemical bond’
  • 16. Radioactivity and nuclear bombardment • The boundary between chemistry and physics was overcome modifying the atoms of a chemical element into another only by physical action such as the bombardment of nuclei by high-energy particles • New chemical elements, which cannot be found in nature because of their short half-life, were synthesized artificially • The phenomena of radioactivity also linked chemistry and quantum mechanics directly • Both artificial bombardment and natural radioactivity could realize the “alchemic dream” for direct transformation of a chemical element into another, particularly in gold
  • 17. Divergence • The direct transformationof chemical elements erased the boundary between ‘chemical element’ and ‘chemical compound’ • However the “reactions” transforming directly chemical elements turn out to be in the realm of physics unlike those transforming chemical compounds being in chemistry • As a result the further development of chemistry and quantum mechanics move away them from each other Independently of all those exceptional successes and the corresponding series of Nobel prizes unifying chemistry and physics
  • 18. Chemical bond and physical interactions • Only one of the four known physical interactions, namely the electromagnetic one, refers to chemistry being both strong enough and acting at any distance • The strong interaction though “strong” cannot overcome the distance between the atoms or molecules • The gravitational one can really do this, but it is too weak to cause any meaningful effect • At last, the weak one combines both disadvantages • The chemical bonds need only electron configurationsto be explained paying no attention to all the rest elementary particles
  • 19. Chemistry without quantum mechanics • The properties of chemical compoundsespecially organic ones depend essentially on the molecular structures, and the thermodynamic properties of huge ensembles, on the impurities as well, etc. • The chemical reactions depend on concentrations,thermodynamic quantities, catalysts, etc. • All those enumerated ingredients or conditionsdo not seem to refer directly to quantum mechanics though they are exceptionally essential for chemical cognition though many aspects of chemical reaction admit quantum explanation including even catalysis
  • 21. The universal viewpoint • However, quantum mechanics offers a universal viewpoint to all chemical elements or compounds being quantum systems as all in the material world • They can be exhaustedly described by their wave functions, which are modelled as elements (or “points”) in the separable complex Hilbert space • Then, any physical quantity is described by a corresponding self- adjoint operator changing only the probabilities corresponding to one and the same values for the quantity at issue to be measured • All self-adjoint operators share the property of unitarity interpretable as energy conservation
  • 22. Physics as a particular case of chemistry • The chemical reactions might be defined by arbitrary operators on the separable complex Hilbert space, among which the self-adjoint ones are only a quite particular case • That viewpoint considers physics as a particular case of chemistry rather than the opposite • Quantum (information) mechanics is what might justify that chemical “ideology” of the being • Thus, the initial trends of the “old” quantum mechanics to unifying chemistry and physics seem to be restorable by wave function chemistry including physics as chemistry of non-entangled wave functions
  • 23. Quantum field and chemistry • All known until now physical interactions are suggested to be able to be described as quantum fields where a certain wave function is attached to any point of space-time • This is experimentally well-confirmed as to the strong, weak, and electromagnetic interaction unified in their joint Standard model, and it is yet a hypothesis as to gravity • Then a new problem appears: what happens if two or more quantum fields and thus wave functions are available in any space-time point? • How can one represent the resultative singe quantum field in those space-time points by the initial quantum fields? • In other words, how do quantum fields interact directly?
  • 24. The direct acting of quantum fields • One can assume a special kind of generalized quantum field acting directly to the separable complex Hilbert space rather than indirectly by the meditation of space-time as the known quantum fields in physics • It will be reducible to the above known quantum fields in space-time in the case of self-adjoint operators, but furthermore it would include the general case of arbitrary operators on the separable complex Hilbert space, i.e. all quantum representations of any chemical reactions • Its action might cause the direct change of any chemical substance into another at a distance without any mediation of any chemical reaction
  • 25. The “Trigger field” from sci-fi to science
  • 26. The “Trigger” field as a theoretical option • That theoretical option admitted by quantum mechanics is explored and described in the sci-fi novel “The Trigger” by Arthur Clark and Michael Kube–McDowell (1999) • That kind of hypothetical quantum field is called there “Trigger field” • It was found occasionally in the novel after it had caused bursts in all weaponsand ammunition in a certain radius because of the change of their chemical contains • The experiments for creating “gravitational laser” were what had leaded the discovery of the “Trigger field” as the novel tell us
  • 27. The scientific base of the “Trigger field” • Furthermore, information underlies energy and matter according to the scientific conception in the novel • The Trigger field changes directly the information base of any energetic or material entity such as any chemical substance therefore transforming it into another according to the applied quality and quantity of that field • Any chemical substance is figured to represent a certain information packet, and the Trigger field transforms directly that information therefore transforming the packet and thus chemical substance into another • Indeed, any chemical substance is a class of wave functions and thus a value of quantum information: the “Trigger field” should be a quantum-informationfield in the framework of contemporary science
  • 28. The “Trigger field” as quantum-information field • Consequently, the Trigger field is meant and expressively emphasized by the authors as a field of information directly changing the information featuring any chemical substance • Furthermore, physics is considered to be a particular case of chemistry in the conceptual framework of a new fundamental theory elaborated by one of the personages of the novel, Karl Brohier, a Nobel Prize winner • Information underlies energy and matter in Karl Brohier’s new theory: indeed quantum information as wave functions underlies energy and matter according to quantum mechanics
  • 29. From sci-fi to science • What might correspond to the Trigger field in the framework of contemporary science is entanglement and the theory of quantum information studying the phenomena of entanglement • Quantum information is a generalization of information introduced by quantum mechanics to reformulate its concepts, quantities and equations in terms of information • Quantum information is a quantity measured in qubits just as informationis measured in bits • The axes of the separable complex Hilbert space can be represented as “empty” qubits, and any wave function as a certain value of quantum information
  • 31. A bit & a qubit • A bit is defined as the choice between two equally probable alternatives, and a qubit can be equivalently defined as its generalization as the choice between an infinite set of alternatives • Its original formulation in theory of quantum information means the normed superposition of two orthogonal subspaces of the separable complex Hilbert space: 𝐴𝐴 𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞𝑞 ≝ 0 𝛼𝛼 + 𝛽𝛽 1 , 𝛼𝛼, 𝛽𝛽 𝜖𝜖 𝐶𝐶: 𝛼𝛼 2 + 𝛽𝛽 2 = 1, 0 , 1 are two orthogonalsubspaces such as two successive axes of the above Hilbert space
  • 32. Hilbert space as quantum information • Thus the separable complex Hilbert space itself can be represented as a series of “empty qubits”, in each of which can be “recorded” a value representing a normed pair of complex numbers • Then any wave function would be a certain value of the free variable of quantum information as what the separable complex Hilbert space can be considered • The state of any quantum system being always a wave function can be exhaustedly represented as a value of quantum information
  • 33. Entanglement of quantum fields • The phenomena of entanglement can be defined as the direct interaction of quantum fields, which are not independent of each other in at least one space-time point • If they are independent of each other, their correspondingHilbert spaces are orthogonalsubspaces of the common Hilbert space of their joint system, and the latter in turn is decomposable into a tensor product of the compound Hilbert spaces • One can discuss what happens in a certain space-time point, in which two or more dependable quantum fields are available and thus interact with each other
  • 34. Entanglement as non-unitary interaction • Most generally, the probability of that point to be randomly chosen after measurement will depend nonlinearly on all constituting quantum subfields • If the interacting quantum fields are only two, any pair corresponding qubits will generate a new resultative qubits referring to the joint resultative quantum field, after which the values of the new qubit can be elementarily calculated as the sums of the values of the initial qubits and the phase difference (rotation) between them • This means that the wave function in an arbitrary space-time point can be arbitrarily changed because of the action of another or other quantum field(s)
  • 35. The absence of standalone quantum field • Furthermore, any standalone quantum field, which is not generated by a certain quantum entity having energy and eventually mass at rest, is not yet known or found • Anyway, principles or causes not to exist that standalone quantum field without any energetic carrier are not known,too • Then, in the framework of contemporary physical knowledge, the removing of the carriers of quantum fields generating entanglement a great distance away will restore the initial wave function, for example, that of a single chemical substance • In other words, the stability of chemical substance needs a certain space-time “pinner” such as a chemical bond
  • 36. The new sense of chemical bond • That is: the stable modification of a wave function such as that in a chemical compound in comparisonwith its components needs a corresponding stable space-time aggregation to be constituted to be able to guarantee the long-time entanglement of the constituting wave functions • Chemical bond based on two electrons with opposed spins in one and same state (i.e. sharing one and the same wave function) realizes that necessary aggregate • However the bond does not refer to the properties of the compound,which can be explained only by the complete modificationof the constituting wave functions into a single and entangled one
  • 37. Chemical substance on the base of quantum information
  • 38. Chemical compound • The attempt for the properties of chemical compound to be explained thoroughly by the initial properties of the ingredients and the chemical bonds between them fails • It should be displaced by the complex nonlinear interaction of the constituent wave functions into entanglement conditioning properly the new and quite different properties of the compound • One can think philosophically wave function as arbitrarily many quantities, each of which is a quality divided from any other by a gap • Further, the non-unitarity of entanglement admit both finite (within a quantity) and transfinite (through the gaps between different quantities) swaps and correspondingquantitative or qualitative changes
  • 39. The entangled wave function of the compound The (non-entangled) wave function of a chemical substance QuantitiesQualities ************************* (finite) ****************************** (finite) (trans- finite) ********************* ****************************** (finite) *********************************************************************** Quantities Qualities finite swap ****************************** (finite) (trans- finite) ********************* ****************************** (finite) trans finite swap
  • 40. Catalysis • Furthermore, entanglement can well explain how the catalysts act: • They modify by entanglement the wave function at least of one of the ingredients of a chemical reaction, however without to constitute (long-time) chemical bounds • The modified wave function is already much abler to be further entangled and held by chemical bonds in the compoundultimate for the catalysed reaction • The catalysts go out of the reaction unchangedfor they cannot interact with the ultimate compound • Thus catalysis utilizes intermediate entanglements without (long- time) bonds as the short-time stages to the entanglement of the ultimate compound
  • 41. The direct transformation of chemical energy into mechanical motion and vice versa • Entanglement conserves energy-momentum rather than energy and momentum separately for it is non-unitary in definition • One can say that entanglement conserves quantum information,which is equivalent to the physical quantity of action by the meditation of the fundamental Planck constant • This may explain the way, in which chemical energy interacts immediately with the thermodynamic quantities such as pressure, temperature, volume, mechanical energy and differently defined energies in the course of chemical reaction
  • 42. All elementary particles as the generalized chemical substance • One can consider all quantum particles within a generalization of ‘chemical compound’where the necessary space-time aggregation for more or less stable entanglement is realized by any interaction and fundamental particles able to do that rather than only electromagnetic one and electrons as in the chemical compound in a narrow sense • Indeed, the strength and infinite range of electromagnetic interaction complemented by the atom structure including an external electron shell, which can be shared constituting chemical bonds, assists much for that variety of chemical compounds on the macroscopic scale studied by classical science and human experience
  • 43. Both “old” chemistry and generalized chemistry • Similarly, strong and weak interactions as well as electromagnetic one, out of chemical compoundsin a narrow sense as above, are able also to generate more or less stable compoundsheld of corresponding bonds (which can be seen as generalized chemical bonds) • Independently of the difference in the kind of bonds, they share the same essence to modify the properties for the new joint entangled wave function • Thus one can introduce a “chemistry of weak or strong interaction”, or electromagnetic interaction out of the standard theory of chemical compounds
  • 44. The structure of the paper itself instead of a conclusion
  • 45. The paper is organized as follows: • Section 1, INTRODUCTION is similar to this presentation • Section 2 introduces a few basic concepts for the reinterpretation of quantum mechanics in terms of quantum information • Section 3 introduces the concept of entanglement and the way, in which it allows for chemical compoundand the meaning of chemical bond to be reinterpreted • Section 4 explains the action of catalysts and thermodynamic conditionsof chemical reaction on the base of entanglement
  • 46. The paper is organized as follows: • Section 5 discusses the generalization of the concept of chemical compound onto the area of all elementary particles studied by physics • Section 6 consider the direct question whether the “Trigger field” described by A. Clark and M. Kube–McDowell might exist in nature or be created artificially • Section 7 is devoted to philosophicaland metaphysical conclusions as well as to methodological corollaries • The last Section 8 summarizes the paper from the viewpoint of future research
  • 47. The paper: You can find the entire paper in Internet typing the title Problem of the direct quantum-informationtransformation of chemical substance in any search engine such as Google, Bing, etc. Thank you so much for your kind attention! Any questions or comments, please!