(Fig.1) ↓ Real electron and wave vs. Unreal quantum mechanics.
Why is quantum mechanics so unrealistic as to embrace many fictional concepts such as parallel worlds ?
Why did physicists 100 years ago have to choose such a crazy, wrong quantum mechanics as the phony atomic theory ?
When and why were we forced to discard realistic atomic model and accept unrealistic quantum mechanics against our will ?
Countless experiments demonstrated that an electron is undoubtedly a negatively charged particle moved by Coulomb electric field.
An electron is also known to have wave nature, and interfere with itself in double-slit experiments. This electron's wave is known to be de Broglie wave.
↑ From the realistic perspective, we have to separate two conflicting concepts of a particle and wave into two different objects with different shapes and qualities.
But the paradoxical quantum mechanics has tried to make a failed attempt to reconcile two irreconcilable concepts of a partcile and wave (= which two notions are completely different in both shapes and qualities ! ), causing still-unsolvable paradoxes and mysteries such as the contradictory wave-particle duality.
This contradictory quantum mechanical "mixed wave-and-particle duality" caused other fantasy concepts such as quantum superposition where each electron can allegedly exist in any different places simultaneously like a single cat can be dead and alive simultaneously living in fictional parallel worlds. ← nonsense.
After all, the miserable (unsuccessful) quantum mechanics avoids clarifying the detailed underlying physical mechanism of whether each electron or photon is a particle or wave, because there is No physical reality or meaning in this paradoxical quantum mechanical world ( this p.2, this p.8-lower ).
Contradictory quantum mechanics forces physicists to give up exploring deeper true atomic mechanisms, reluctantly saying "Nobody undersdands quantum mechanics !" which "unscientific" attitude stopping delving into truth underlying mechanisms prevents scientists from advancing real applied science forever, now.
So unphysical quantum mechanicsl is completely an unsuccessful theory which cannot predict or explain any physical values, contrary to the media-hype.
On the other hand, the realistic Bohr's atomic model could successfully explain all experimental values of all hydrogen-like atomic energy levels using the experimentally-observed real electron charged "particle" and de Broglie "wave" theory by separating a particle and wave eliminating the quantum mechanical wave-particle paradoxes.
Light or electromagnetic wave, which can interfere, diffract, travel at constant speeds ( depending on different mediums ), is clearly "wave (= Not a rigid particle )" like other waves such as sound waves. ← There is No such thing as a photon particle.
In the Bohr's realistic atomic model treating each particle and wave as "real objects" with No paradoxes, when an electron's orbital length is just an integral multiple of de Broglie wavelength in order to avoid destructive interference and stabilize electron's orbital motion, this realistic atomic model just agreed with experimental values.
The misconception that classical atomic model may be unstable, losing energy was created later for academia to intentionally draw people's attention from realistic Bohr's atom to unrealistic quantum mechanics which ad-hoc theory did Not even explain why quantum mechanical orbit could be stable at all.
Actually, Bohr's realistic model was accepeted as real by the 'then academia', and obtained the most prestigious Nobel prize in 1920s.
The misleading idea that an orbiting electron is losing energy applies only to the case where many electrons (= Not the case of a single electron moving inside a hydrogen atom ) are randomly oscillating and pushing each other in a disorderly way.
If a single electron is really losing energy just by moving around the nucleus as textbooks say, quantum mechanical electron, which also has kinetic energy (= so "moving" electron ), has to be unstable, losing energy, too. ← This logic of losing energy is self-contradictory.
Actually, this moving electron losing energy applies only to the case when the single electron unrealistically consists of "an infinite number of "imaginary charge pieces" smaller than a single electron", which is Not the case, a single electron cannot break into smaller pieces, so Bohr's atomic electron does Not lose energy just by orbiting aroud the nucleus.
Opponents of realistic atomic model assume an unrealistic case where Coulomb repulsive energy generated by putting "imaginary infinite smaller charge pieces" together as one pseudo-electron particle is stored as vacuum electric field energy around the pseudo-electron, which imaginary electron easily breaks into smaller negatively-charged pieces (= which doesn't actually happen ), radiating the stored repulsive energy among those negative smaller charges.
↑ These imaginary negative charge pieces smaller than an electron do Not exist as shown in the fact that a single electron does Not break into smaller pieces, hence quantum mechanical physicists' objection to the former realistic atomic model is absurd, based on a wrong assumption.
Schrödinger equation of quantum mechanics also uses the same idea as Bohr model that orbital length is an integer multiple of de Broglie wavelength ( this last ), and its results agreed with Bohr model's energy levels and radius.
The big difference is the hydrogen atom of Schrödinger equation always has to include unrealistic zero orbital angular momentum, which means the quantum mechanical electon always crashes into a nucleus, becoming unstable.
For unreal quantum mechanical electron of zero orbital angular momentum to generate the same magnetic field as Bohr's atomic magneton, quantum mechanics proposed unrealistic electron spin which must spin faster-than-light to generate its spin angular momentum.
A particle and wave are completely different things in terms of their shapes and properties, which can never be merged as one chimera-like pseudo-object expressed as quantum mechanical unphysical wave function.
Realistic atomic model which rationally separates an electron particle from de Broglie wave around the electron ( this ① model ), does Not need to mix two conflicting objects: particle and wave as one ghost-like wave function, hence, the realistic atomic model faces No self-contradiction or mystery plaguing quantum mechanics for a long time.
Quantum mechanics is so unrealistic that still Nobody can understand even after 100 years have passed since its foundation. ← Only this strange fact is enough to disprove quantum mechanics.
Because it just irrationally mixes two conflicting concepts of an electron "particle" and its de Broglie "wave" as one unphysical chimeric wave function which is neither a real wave nor a moving particle.
The wave function is said to have No physical meaning except for ad-hoc "probability" of finding an electron in each place.
The electron's unphysical probability wave function always spreads throughout all of space, which means each single electron also must spread and exist in all different positions simultaneously using fantasy parallel worlds.
Quantum mechanical electron is so crazy that it must be unrealistically and unscientifically both a particle and wave at the same time, and split into multiple parallel universes to interfere with itself in two-slit experiment.
In realistic atomic model, an electron does Not need to split into two fantasy parallel worlds embraced by quantum mechanics to interfere with itself, because only de Broglie wave around each electron needs to split in two slit experment and interfere with each other (= which result affects an electron particle motion, causing an interference fringes ) like other real wave.
(Fig.2) ↓ Computing two real electrons was impossible in 1920s.
Quantum mechanics is riddled with fantasy concepts such as parallel worlds, a dead and alive cat. Why did scientists have to accept such a ridiculous atomic theory ?
Bohr's realistic atomic model, which successfully explained all one-electron atoms and ions, couldn't give true ground state energy of two-electron helium atoms.
The simplest circular-orbit helium model didn't agree with actual helium energy, because it didn't consider destructive interference of two electrons' de Broglie waves.
Other realistic helium models with two actually moving electrons repelling and avoiding each other were so complicated that they needed modern computers (= modern computers did Not exist in 1920s when the unscientific quantum mechanics was born ) to calculate, this calculation corresponds to infamous three-body problem, which was impossible to calculate only with old-fashioned pen and paper approach in physics in 1920s.
This is the main reason why physicists had No choice but to start to use fantasy quantum mechanics whose physical meaning is still Not understood by any physicists even now, strangely.
Contrary to the media's false narrative of 'successful' quantum mechanics, its unphysical calculation tool called Schrödinger equation has No exact solution (= cannot be solved ) in any multi-electron atoms or molecules except for one-electron hydrogen atom, whose hydrogen energy solutions "accidentally" agreed with successful Bohr's atomic model.
Physicists just artificially "choose" fake solutions called trial functions ( or basis set ) and integrate Schrödinger equation with those chosen fake solutions ( instead of solving Schrödinger equation, because it cannot be solved ) to get fake total energy for multi-electron atoms.
You can artificially choose any forms of those fake Schrödinger solutions for multi-electron atoms. There is No restriction on what forms of trial wave functions physicists choose as fake solutions for multi-electron atoms. You can freely pick it up out of infinite choices, which is a kind of art rather than science.
We rigorously prove Schrödinger equations for multi-electron atoms such as two-electron helium can never find their exact solutions (= conserving the constant total energy regardless of electrons' positions is needed to be true solutions of Schrödinger equations, which condition is impossible except for one-electron hydrogen atom ), no matter what forms of fake solutions physicists choose, or no matter how much time they take to try to find true solutions out of infinite choices.
The fact that there are No true solutions of Schrödinger equation for multi-electron atoms means quantum mechanics is intrinsically a wrong theory.
(Fig.3) ↓ No Coulomb force between two quantum wavefunctions.
Quantum mechanics tries to combine two hydrogen atom wave functions (= hydrogen atomic ground state H 1s orbital wave function ) and choose it as an approximate hydrogen molecule (= H2 ) fake wave function (= solution ).
This hydrogen atomic electron wave function (= which allegedly represents an electron's charge thinly spread throughout all space as vague probability density cloud ) is symmetrically and spherically surrounding the central positive nucleus.
This electron's fictitious charge cloud symmetrically distributed around the central nucleus is just equal to a collection of symmetrical spherical-shell charges, which can be treated as if a negative electron point-charge (= e- ) overlaps the central positive nucleus (= e+ ) at exactly the same position.
So the net charge combining quantum mechanical electron-charge cloud and the central positive nucleus becomes just zero = electrically neutral, which can neither attract the other hydrogen atom nor form hydrogen molecule.
An electrically-neutral particle cannot attract other particles or form molecular bond by Coulomb electric force, which unrealistic state is quantum mechanical molecules represented by wave function.
On the other hand, if we treat each electron as an "actually-moving negative particle (= instead of vaguely-spreading electron cloud )", the moving electron particle can normally and easily form a molecular bond by negative electrons being attracted to positive nuclei, avoiding other negative electrons, obeying real Coulomb attractive and respultive forces, as seen in the successful Bohr's atomic model.
Basically, two identical hydrogen atomic wave functions have exactly the same symmetrical charge distribution (= if one hydrogen atom is slightly positive or neutral seen from the other atom, another identical hydrogen atom is also slightly positive or neutral seen from the other atom ), so those identical atoms with exactly the same "charge distribution" can never form molecular bonds using real Coulomb electric force.
To form hydrogen molecular bond by real Coulomb force, one hydrogen atom must be negatively charged, and another hydrogen atom must be positively charged seen from each other. It means when one hydrogen atom is negatively-charged (= which means this hydrogen's negative electron approaches the other nucleus ), the other hydrogen atom must be positively-charged by exposing positive nucleus to the other atomic electron.
So quantum mechanics, which cannot even utilize real Coulomb force in binding two atoms for molecular bonds, is intrinsically a wrong theory detached from real world.
Quantum mechanical (fictitious) molecular bonds rely on the penetration of the spreading wavefunctions or electron clouds into other electron clouds or wavefunctions, instead of realistic electrons moving around and approaching the other positive nucleus periodically.
↑ Because when an electron (= a part of one electron cloud ) penetrates other electron cloud, this electron no longer experiences the Coulomb electric repulsion of the other electron clouds (= spherical shell ) outside of it.
But of course, even when an electron penetrates other wavefunctions and lowers its Coulomb potential energy, the total energy must be conserved (= constant total energy = lowered Coulomb potential energy + higher kinetic energy ) and the electron's increased kinetic energy cancels the Coulomb potential energy lowered by the penetration, so quantum mechanics cannot generate any molecular attractive bond energies by real Coulomb force.
So in order to generate (fake) molecular bond energies by the useless quantum mechanical wavefunction or electron cloud, they must rely on "cheating" where the inviolable total energy conservation law must be violated, and the kinetic energy must unrealistically keep decreasing even when an electron approaches the other positive nucleus and lowers Coulomb potential energy. ← Violation of the total energy conservation law means quantum mechanics is false.
Furthermore, this cheating of deliberately violating the total energy conservation is Not enough to generate the actual molecular bond energy.
In order to generate the enough molecular bond energies, quantum mechanical molecules have to rely on unrealistic exchange energy (= integral ) instead of normal Coulomb forces (= Coulomb energy integral ), which pseudo-exchange energies just unrealistically manipulate pseudo-electron's kinetic energies (= by placing a single electron in two different atoms using fantasy quantum mechanical parallel worlds, this p.2, this p.3 ) to seemingly generate fake molecular bond energies by violating energy conservation law.
↑ Quantum mechanical (fake) molecules against the fundamental physical principle by violating energy conservation law are unrealistic and false.
See this p.11, this p.9-12, this p.2-5
If you want to use quantum mechanical electron cloud spreading all over the place as a small moving electron or as a localized particle which can approach the other positive nucleus and avoid the other negative electron, the spreading electron cloud must shrink and get localized only to one particular position as an acute, narrower probability wave function.
For an electron cloud to shrink and be localized only to one position (= only on the left or right side of the nucleus ), those electron clouds (= meaning "probability" of finding an electron ) must be distributed "asymmetrically" only on the left or right side of the nucleus, instead of the original hydrogen atomic wave function symmetrically distributed around the nucleus (= which symmetrical electron's charge distribution becomes a neutral charge overlapping the central nucleus, hence, cannot form molecular bond by Coulomb attraction. )
If they try to localize the originally-symmetrical electron's cloud or wave function to one particular position "asymmetrically" around the nucleus, the spreading electron cloud (= "probability" wave function ) needs to get narrower and shrink only to one particular position where an electron should exist.
But the narrower and sharper shrunken electron probability wavefunction drastically increases the electron's kinetic energy, which makes it impossible to form molecular bond by lowering total energy canceled out by increased kinetic energy.
Because quantum mechanical wavefunction also contains information about the electron's momentum (= narrower probability wave function → shorter de Broglie wavelength, which is a reciprocal of electron's momentum → electron's momentum and kinetic energy increase drastically ).
As a result, unphysical quantum mechanical wave function, which unrealistically mixes two conflicting things = an electron particle (= as vague "probability" ) and wave (= as de Broglie theory's momentum ), cannot use real Coulomb force to form any molecular bonds.
Lowering total energy by lowering Coulomb potential energy (= Coulomb integral ) using the normal Coulomb attractive force between two spreading quantum mechanical electron clouds is impossible, instead, quantum mechanical molecules lacking reality must rely on unphysical exchange energies (= exchange integral or resonance integral ) manipulating pseudo-kinetic energies to form molecular bonds ( this p.3-4, this p.4-5, this p.29, this lower-Fig.2, this p.11-13 ).
For the originally-symmetrical hydrogen atomic 1s wave function to be distributed asymmetrically around the nucleus, it needs to create new de Broglie wave's crest and trough not only in the original radial direction but also in tangential direction, which increases the electron's kinetic energy of the hydrogen atom to more than twice the original value.
Real molecular bond energy should be generated by negative electrons being attracted to positive nuclei → lower Coulomb potential energy → lower total energy (= which "lowered" total energy corresponds to molecular bond energy ), which could be canceled by increasing kinetic energy by asymmetrically shrunken and localized wave function when we try to unrealistically generate Coulomb force between quantum mechanical spreading wave functions to form molecular bond.
(Fig.4) ↓ Just put two hydrogen (= H ) atoms side by side = H2 molecule ?
A hydrogen molecule (= H2 ) consists of two hydrogen atoms (= H ) containing two negative electrons (= e1 and e2 ) and two positive nuclei (= Ha and Hb ).
Schrödinger equation is expressed as the total energy E equal to the sum of electron's kinetic energy and Coulomb potential energy.
Kinetic energy is expressed as the form of derivative of wave function which includes the information about an electron's momentum (= kinetic energy ) as de Broglie wavelength.
In Schrödinger equation for hydrogen molecule (= H2 ), its total energy consists of two electrons' kinetic energy (= denoted by the first two differentiations ), four Coulomb attractive potential energies (= between each negative electron and two positive nuclei ) and Coulomb repulsive energy between two negative electrons.
Quantum mechanical Schrödinger equations are unable to solve any multi-electron atoms and molecules except for the simplest one-electron hydrogen atom ( this p.21 ).
Of course, Schrödinger equation for hydrogen molecule (= H2 ) is also unsolvable ( this p.4-lower ).
The useless quantum mechanics has to rely on the ad-hoc pseudo-approximate methods called variational methods, artificially choose some "fake approximate solution with freely-adjustable parameters (= trial function )" and integrate (= Not solve ) those chosen fake wavefunctions with unsolvable H2 molecule Schrödinger equation to get fake average energies, until those fake total energies are seemingly closer to actual energies ( this p.3 ).
↑ These artificially-chosen fake wavefunctions can never be true solutions (= conservation of total energy inside a quantum mechanical molecule is impossible ), no matter what forms of trial wavefunctions with any numbers of freely-adjustable parameters are chosen, due to their intrinsically unsolvable Schrödinger equations for multi-electron molecules.
The simplest form of this artificially-chosen fake H2 solution or wavefunction is the product of two hydrogen atomic 1s wave functions.
Choose fake H2 solution (= wave function ) → Insert it into Schrödinger equation → Integrate it to get fake H2 total energy E ( this p.3-4 ).
↑ These fruitless time-consuming methods just choosing fake approximate solutions or trial wavefunctions with arbitrary free parameters and pseudo-potential energies with No power to predict any atomic or molecular energies are the so-called quantum mechanical ( ab-initio ) calculations ( this p.2-lower, this p.9 ), which are completely useless in all applied science.
Choosing fake solution out of infinite choices freely means quantum mechanics has No ability to predict new physical values or atomic energies by solving Schrödinger equation (= this solving Schrödinger equation is impossible in all multi-electron atoms and molecules ), so quantum mechanics is useless.
(Fig.5) Kinetic energy is illegitimately "lowered" by quantum cheating. ↓
As I said, it's impossible for quantum mechanical electron cloud to generate Coulomb attractive force enough to bind two atoms for forming molecular bond.
Then, how does quantum mechanics lower total energy to generate (fake) molecular bond energy instead of lowering Coulomb potential energy based on Coulomb attraction between negative electrons and positive nuclei ?
The sum of electron's kinetic energy and Coulomb potential energy is equal to total energy which total energy value must be always constant and conserved due to energy conservation law ( this p.2-upper, this p.2-1st-paragraph ).
Only solvable Schrödinger equation for one-electron hydrogen atom obeys this important energy conservation principle = constant total energy.
In any other unsolvable Schrödinger equation for multi-electron atoms and molecules, this inviolable energy conservation law is violated, so quantum mechanics is wrong.
They just choose and guess fake approximate solution for unsolvable Schrödinger equation, and take mean advantage of this violation of energy conservation law to generate fake molecular bond energy. ← This is quantum mechanical "cheating".
If orthodox Coulomb forces cannot be used, total energy cannot be lowered by lowering Coulomb potential energy in forming molecular bonds in a normal way.
Therefore, quantum mechanics has to unscientifically lower only electron's kinetic energy based on nonphysical exchange energies (= or exchange integral ) without relying on any real ( Couloumb or exchange ) forces as fake molecular bond energy. ← ridiculous !
↑ Seeking the true origin of (unphysical) quantum mechanical molecular covalent bonds have been avoided as "paradox" by physicists.
Because quantum mechanics uses illegitimate molecular bond energies caused by lowering fictitious kinetic energies (by electron's delocalization + violation of energy conservation law ) instead of Coulomb electric forces or other real force carriers ( this p.7-last ).
↑ These illegitimately-lowered (or increased ) fictitious kinetic energies are used as the origin of "unphysical exchange energies allegedly causing fake molecular bond or Pauli repulsive energies" which fictitious exchange energies lack real exchange forces because it is generated by manipulating fictitious kinetic energies Not caused by some real forces or physical things ( this p.5, this p.8-last-paragraph ).
Inside each hydrogen atom, the total energy = an electron's kinetic energy + Coulomb energy must be always the same constant (= conserved ) value E in solvable hydrogen atom. ← This rule keeps valid, if we use hydrogen atomic wave function as a part of hydrogen molecular fake solution ( this p.3 ). ← This is a cheating trick.
For example, in hydrogen atom-a (= Ha ), when a negative electron-1 is attracted towards near the positive Ha nucleus, Coulomb potential energy becomes lower, which is canceled out by higher electron's kinetic energy to keep the conserved constant total energy (= electron's position ① of this figure left ).
When the electron-1 moves farther away from the Ha nucleus, its Coulomb potential energy becomes higher, hence the electron's kinetic energy becomes lower to conserve the constant total energy (= electron's position ② of this figure left ). ← Inside each hydrogen atom (= Not molecule ) with the exact solvable solution, the total energy is conserved and constant.
But in hydrogen ( H2 ) molecule, one more positive hydrogen Hb nucleus is added.
So even when the electron-1 moves farther away from the original Ha nucleus, it is closer to another positive Hb nucleus, hence, its Coulomb potential energy remains low, and the electron's kinetic energy also remains low, because the hydrogen atomic wave function is used as a part of H2 molecular solution ( this p.1-3 ). ← This is the trick of lowering total energy by lowering kinetic energy by violating energy conservation law inside a molecular bond illegitimately.
This clearly shows total energy is Not conserved in hydrogen molecule (= this figure right ), hence, quantum mechanics is false.
Because the total energy changes (= Not conserved ) depending on the electron's position. The total energy changes to higher near Ha nucleus ( due to higher kinetic energy ) and lower near Hb nucleus ( due to lower kinetic energy, while Coulomb potential energy remains lower in both positions, as seen this figure right ).
This illegitimate trick is the origin of fake molecular bond energy in quantum mechanics = lowering electron kinetic energy near the other hydrogen nucleus by violating total enenrgy conservation law.
In this trick, the electron's kinetic energy (= represented by hydrogen atom wave function ) remains lower, even when the negative electron of one H atom approaches the positive nucleus of the other H atom in hydrogen molecule.
↑ If the total energy of a H2 molecular ground state is conserved and constant legitimately regardless of any electrons' positions, the electron-1's kinetic energy must be higher also when the electron-1 approaches the other Hb nucleus like the original Ha nucleus. ← This inviolable energy conservation rule is violated in any quantum mechanical molecule to generate nonphysical exchange molecular energies based on decreased pseudo-kinetic energies.
The fact that these quantum mechanical phony molecular bonds have to rely on the "cheating" of violating total energy conservation law and Virial theorem (= even when Virial theorem is narrowly satisfied by adjusting parameters of intra-atomic energies in a contracted H atom, it does Not change the fact that the illegetimately lowered interatomic kinetic energies by violating total energy conservation law is the origin of fake quantum mechanical molecular bonds, this p.3 ) means quantum mechanics proves to be a self-contradictory and wrong theory.
(Fig.6) ↓ Each electron exists in both H-atoms a and b at once ?
Unscientific quantum mechanics repeats a ridiculous claim that even a single particle could exist everywhere in multiple different places simultaneously using fantasy parallel worlds.
Of course, we cannot actually observe such a ghost-like particle or an electron magically splitting into multiple unseen parallel worlds, when we try to detect each electron.
So there is No evidence for such an unscientific quantum mechanical claim. Nobody understands such a contradictory quantum mechanical world.
Suprisingly, irrational quantum mechanics requires this fictional condition for generating fake molecular bond energy based on nonphysical exchange energies manipulating pseudo-kinetic energies.
In hydrogen molecule (= H2 ), quantum mechanics tries to use the violation of energy conservation law and illegitimately-lowered electron's kinetic energy around the other hydrogen atomic nucleus as fake molecular bond energy.
In hydrogen atom (= H ), the probability density of finding an electron is higher near the nucleus, and the electron probability is lower in the area farther away from the nucleus.
And the electron's kinetic energy is lower in the distant area farther away from the nucleus due to the total energy conservation law where the total energy = the sum of electron's kinetic energy (= lower in the distant area ) + Coulomb potential energy (= higher in the distant area ) must be always constant and conserved in any electron's positions.
The probability of finding an electron with lower kinetic energy (= in places farther away from the original hydrogen atomic nucleus ) is far lower than the probability of an electron with higher kinetic energy near the original hydrogen nucleus. ← Utilizing the lower kinetic energies (= lower probability ) for (fake) molecular bond energies is still difficult only using the original wavefunction.
↑ The probability of an electron in distant places with lower kinetic energy is far smaller than the probability of an electron near the origignal hydrogen nucleus with higher kinetic energy (= large curvature ), so even if they use this fraudulent trick ( this figure right ), it is hard to lower total ( or kinetic ) energy (= illegitimately ) enough to generate fake molecular bond energy due to the lower probability.
So the simplest form of (fake) hydrogen molecule solution = just the product of two hydrogen atoms with No exchange interaction cannot get enough molecular bond energy (= lowering kinetic energy is not enough ) due to the extremely lower probability of electrons with lower kinetic energies at places distant from the original nucleus and the ordinary Coulomb potential energy ( or Coulomb integral ) unable to give enough attractive bond energy ( this p.3 upper half, this p.18-20 ).
To expand the probability of an electron with lower kinetic energy at places distant from the original hydrogen nucleus ( in an illegitimate way ), quantum mechanics introduced unrealistic concept called "exchange energy".
In order to illegitimately increase the originally-lower probability of an electron-1 with lower kinetic energies distant from the original hydrogen nucleus Ha and near the other hydrogen nucleus Hb (= Coulomb energy is lower despite lower kinetic energy by violating total energy conservation law ), quantum mechanics needs to put another fictitious electron-1's body-double wavefunction also around the other Hb nucleus in addition to the original Ha nucleus.
And this fictitious electron-1's body-double wavefunction at the other Hb nucleus can be used to illegitimately increase the originally-lower probability of the electron-1 around the other Hb nucleus by unphysical exchange integral.
So in order to use this nonphysical exchange energy, the quantum mechanics outrageously insists each single electron must always exist in more than one different places = around both hydrogen atom-a (= Ha ) and hydrogen atom-b (= Hb ) simultaneously using fictional parallel universes ( this p.7-lower, this p.2 ).
As a result, this unrealistic new H2 molecule fake trial wavefunction must consist of hydrogen atom-a wave functions containing both electron-1 and electron-2 (= φHa(e1) and φHa(e2) ), and hydrogen atom-b wave functions containing both electron-1 and electron-2 (= φHb(e1) and φHb(e2) ) at the same time ( this p.3-(8), this p.15 ).
In this quantum mechanical outrageous world, even a single inseparable electron must exist in multiple different places, orbitals or atoms apart from each other simultaneously using nonphysical exchange energies and Pauli antisymmetric wavefunction which cannot be explained by any real objects in our world, so quantum mechanics is obviously a fictional theory ( this p.11, this p.11 ).
(Fig.7) exchanged symmetric wave function → unreal exchange energy
In order to get fake molecular bond energy, quantum mechanics makes an unrealistic claim that each single electron always exists in two different atoms simultaneously in any molecular bonds.
This unrealistic wave function is called a (anti-)symmetric wave function which includes terms exchanging multiple electrons.
Choosing unphysical exchanged H2 molecule wave function (= each single electron exists in different atoms = both hydrogen-a and hydrogen-b wave functions simultaneously ) and integrating Schrödinger equation give two types of integrals or energies ( this p.14, this lower ).
One integral of them represents ordinary Coulomb energy which consists of normal electron's charge probability forms denoted by the product of two same hydrogen atomic wave functions ( this middle ).
For example, the product of two same φHa(e1) and φHa(e1) wave functions represents electron-1 (= e1) charge probability density φHaφHa, which contributes to Coulomb energy (= Coulomb integral ) which effect is too small to form molecular bond.
So in quantum mechanical fictional molecules, ordinary Coulomb force (= Not contributing to quantum mechanical fake molecular bond energies ) or Coulomb energy (= Coulomb integral ) is too small to generate molecular bond energy, and it has to rely on unphysical exchange energies (= or exchange integral ) as (fictitious) main molecular bond energies ( this p.3-4, this p.11, this lower-Fig.2, this p.4-5, this p.4-5-Figure.1, this p.29, this p.3-last, this p.7-Figure.4 ).
Unlike real Coulomb energy, the unrealistic exchange energy ( or exchange integral, this lower ) uses the product of two different φHb(e1) and φHa(e1) wave functions, which is Not a normal electron's probability density form.
The normal electron's charge density or probability is expressed as φHa(e1)φHa(e1) or φHb(e1)φHb(e1), while the unphysical exchange interaction is expressed as φHa(e1)φHb(e1).
This artificially-introduced, unphysical exchange energy ( or integral ) cannot be described by any real objects on the earth, hence, the exchange energy lacks physical meaning ( this p.11 ) and is unreal.
(Fig.8) ↓ Probability of electron with low kinetic energy is increased ?
How does unphysical exchange energy increase the probability (= area ) of an electron with low kinetic energy at places distant from the original hydrogen nucleus in order to generate fake molecular bond energy ?
As I said, quantum mechanics, which cannot utilize normal Coulomb force (= Coulomb integral ), generates fake molecular bond energy by using nonphyseical exchange energies lowering kinetic energy illegitimately = violating total energy connservation law, so quantum mechanics is false.
But as an electron-1 moves farther away from Ha nucleus toward the other Hb nucleus, its kinetic energy is lower (= to cancel higher Coulomb potential energy for conserving the constant total energy inside only the original Ha-hydrogen atom ) and, at the same time the probability of finding such an electron with lower kinetic energy also decreases at places distant from the original Ha nucleus, which cannot lower kinetic energy enough to generate fake molecular bond energy.
So physicists invented this unphysical "exchange energy (= including the electron-1's body-double wavefunction also around the other Hb nucleus = the high-probability even at places distant from the original Ha nucleus and near the other Hb nucleus ) or exchange integral", which can expand the low probability area of an electron having lower kinetic energy (= at places distant from the original Ha nucleus and near the other Hb nucleus ).
These unphysical exchange energies further decrease the electron's kinetic energy in an illegitimate way by expanding the low-probability low-kinetic energy area of the electron-1 around the other Hb nucleus. → further decrease total energy → fake molecular bond energy in quantum mechanical molecule.
↑ Therefore, quantum mechanical molecule based on contradictory "exchange energy" violating energy conservation law is just unphysical and unreal.
This unrealistic "exchange energy" whose effect is irrationally far bigger than ordinary Coulomb energy (= this means real Coulomb force is negligible, Not used in quantum mechanical molecule ) is the main contributor to pseudo-molecular bond energy forming between quantum mechanical electron clouds ( unphysical exchange energy is far more influential than Coulomb energy, see this p.3-4, this p.3-4 Figure.1, this p.3, this lower-Fig.2, this p.11 ).
When changing the sign between two exchanged wave functions' terms from plus (= called symmetric ) to minus (= called antisymmetric ), the unphysical "exchange integral" caused by anti-symmetric wave functions is supposed to express Pauli exclusion principle energy.
Due to the flipped sign of unphysical antisymmetric wavefunctions allegedly expressing Pauli principle, this quantum mechanical Pauli repulsive energy (= the opposite of the fake molecular attractive energy lowering kinetic energies ) is said to be caused by increasing pseudo-kinetic energies for anti-bonding without real repulsive forces ( this p.9-10 ).
As I said, this "exchange integral or energy" is unrealistic, so Pauli exclusion principle can Not be treated as a real repulsive force due to lack of real physical meaning ( this p.6, this p.6-4th-paragarph ) and force carrier of Pauli repulsive force, so unphysical exchange energies are completely useless in any applied science.
(Fig.9) Exchange → indistinguishable electrons → one pseudo-electron
To generate fake molecular bonds, each single electron has to exist in all different places or atoms simultaneously using parallel worlds, as if all electrons are unrealistically identical and indistinguishable, inside any quantum mechanical material.
These unrealistic indistinguishable electrons are expressed as unphysical forms called (anti-)symmetric wave functions which consist of even-numbered wave function terms exchanging any two electrons ( this p.3-4 )".
If all different electrons can be treated like identical and indistinguishable electrons absurdly, it means it's OK even if we pick up one of those indistinguishable electrons and treat the whole material consisting of many electrons as "one pseudo-electron" called "quasi-particle ( this p.2, this p.2 upper ) with fake effective mass".
This unrealistic one-quasi-electron approximate model of solid is called "band model" which contains pseudo-electron with fake (= effective ) mass, which can be even negative, and quasi-pseudo-momentum.
To develop this pseudo-band theory, quantum mechanics has to illogically increase the number of fictitious quasi-particles with fake mass and charge for explaining physical phenomena in material.
For quantum mechanics to unrealistically describe and calculate many-electron material as one pseudo-electron model, physicists invented an impractical theory called density functional theory (= DFT or Kohn-Sham, this p.3 ).
This one-pseudo-electron DFT model with fake (= effective ) potential always fails in explaining actual many-electron phenomena ( this p.17 ), so useless and prevents us from using atomic theory in applied science such as medicine.
In spite of this useless and meaningless DFT theory based on one-pseudo-electron model, surprisingly, almost all today's quantum mechanical researches on materials use this ad-hoc DFT as the only calculation tool in vain ( this p.6 ).
(Fig.10) ↓ Unrealistic quantum mechanics → extra-dimensions !?
As I explained here, today's condensed matter is fiction filled with pseudo-electrons with fake changeable negative mass, fractional-charge quasiparticles, imaginary magnetic monopole, sonic black hole ...
All these fictional concepts come from the current unrealistic atomic theory = quantum mechanics which still Nobody understands, strangely, even 100 years after quantum mechanics was introduced.
Today's fantasy condensed matter physics prevents scientists from applying useless quantum mechanical atomic theory to other practical fields such as nano-technology, medicine and drug development. → Curing deadly diseases is impossible forever.
So this fictional quantum mechanics forced physicists to create many new fictional concepts one after another as new fictional scientific targets, in order to continue to get "research" funds, academic positions and prestigious prizes.
As imaginary far-distant scientific targets in universe, they made up fictional Big Bang, wormhole, multiverse, black hole ( we proved black hole itself is a self-contradictory object, hence black hole does Not exist ), and meaningless paradox physicists pursue endlessly.
As ghost-like, unseen, untoucheable meaningless scientific targets, physicists proposed unreal virtual photons, dark photon, undetectable dark matter, dark energy and gravitational wave which is too weak to be useful except for getting prestigious Nobel prize.
After wasting huge taxpayers' money in gigantic colliders and just looking at meaningless garbage data collected from countless colliding atoms, particle physicists insist they might find God particle and unseen fractional-charge quarks in vain.
All these imaginary elementary particles allegedly popping up only in virtual circumstances inside colliders or particle physicists' heads are completely useless except for selling "sci-fi" books, because these doubtful particles are unable to utilize or take out from colliders for practical use forever, and they are too short-lived to believe as real particles.
As fantasy "theory of everything" uniting Einstein relativity and quantum mechanics, physicists started to believe in unseen imaginary extra-dimensions, which is Not "science" at all.
As long as physicists refuse to clarify real meaning of mysterious quantum mechanical fiction and contradictory wave-particle duality, we can never break away from these science fiction which dominates the current academia and physics world for moving forward to true really-useful "science".
2020/11/6 updated. Feel free to link to this site.