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G. Van Hooydonk

Publications and source records attributed to G. Van Hooydonk.

At least 19 recordsLinked to original sources
arXiv2012

The van der Waals-Maxwell phase transition, hidden in Sommerfeld-Dirac hydrogen theory, proves that symmetry in the Coulomb bond is broken

Left unnoticed for almost a century, 1916 Sommerfeld H theory hides a van der Waals-Maxwell phase transition in the Coulomb lepton-nucleon attraction of ground state H. This classical 19th century symmetry breaking effect, important for CPT, is confirmed by observed H nS(sub1/2 and nP(sub1/2) series. It proves that trying to produce antihydrogen H with e(sup+)+ p(sup-)\rightarrow Hbar does not make sense. Since hydrogen is the major constituent of the Universe, the energy equilibrium of Hbar antimatter and H matter states in natural hydrogen is in line with the Big Bang hypothesis.

physics.gen-ph↗
arXiv2011

H2: entanglement, probability density function, confined Kratzer oscillator, universal potential and (Mexican hat- or bell-type) potential energy curves

We review harmonic oscillator theory for closed, stable quantum systems. The H2 potential energy curve (PEC) of Mexican hat-type, calculated with a confined Kratzer oscillator, is better than the Rydberg-Klein-Rees (RKR) H2 PEC. Compared with QM, the theory of chemical bonding is simplified, since a confined Kratzer oscillator gives the long sought for universal function, once called the Holy Grail of Molecular Spectroscopy. This is validated with HF, I2, N2 and O2 PECs. We quantify the entanglement of spatially separated H2 quantum states, which gives a braid view. The equal probability for H2, originating either from HA+HB or HB+HA, is quantified with a Gauss probability density function. At the Bohr scale, confined harmonic oscillators behave properly at all extremes of bound two-nucleon quantum systems and are likely to be useful also at the nuclear scale.

physics.gen-ph↗
arXiv2009

Symmetry breaking in covalent chiral bond Hsub2, according to accurate vibrational levels from Kratzer bond theory

Symmetry breaking in Hsub2, quantified with Kratzer bond theory, leads to vibrational levels with errors of only 0,00008 %. For quanta, 0,0011 % errors are smaller than with any ab initio QM method. Chiral behavior of covalent bond Hsub2 implies bonding between left- and right-handed atoms HsubL and HsubR or between hydrogen H and antihydrogen Hbar. This generic Hsub2 asymmetry is given away by a Hund-type Mexican hat curve, invisible in QM.

physics.gen-ph↗
arXiv2009

Five-fold symmetry in fractal atom hydrogen probed with accurate 1S-nS terms

We probe Penrose's five-fold symmetry and fractal behavior for atom H. With radius r(H) derived from H mass m(H), H symmetry is governed by Euclid's golden ratio phi=0,5(sqrt(5)-1), as proved with accurate H terms. A Hund-type Mexican hat curve in the natural H spectrum points to mirrored antihydrogen Hbar. We predict that term H 1S-3S, to be measured soon, is 2 922 743 278 654 kHz.

physics.gen-ph↗
arXiv2008

Ionic Kratzer bond theory and vibrational levels for achiral covalent bond HH

A dihydrogen Hamiltonian reduces to the Sommerfeld-Kratzer-potential, adapted for field quantization according to old-quantum theory. Constants omega_e, k_e and r_e needed for the H_2 vibrational system derive solely from hydrogen mass m_H. For H_2, a first principles ionic Kratzer oscillator returns the covalent bond energy within 0,08 % and all levels within 0,02 %, 30 times better than the Dunham oscillator and as accurate as early ab initio QM.

physics.gen-ph↗
arXiv2008

Dispelling the antihydrogen myth

While achiral Bohr atom theory cannot generate Hbar signatures, achiral Heitler-London bond theory can but its Hbar signatures must be detected. We show that the largest spectral signature to probe Hbar is the singlet-triplet splitting of 9,5 eV at r(0)=0,74 Angstrom, observed in the dihydrogen band spectrum. This large Hbar-signature, overlooked for nearly a century, is confirmed with the observed HH potential energy curve. Hbar claims by CERN-based collaborations, seemingly important for the fate and future of Hbar, are premature and must be examined critically.

physics.gen-ph↗
arXiv2007

Antihydrogen, probed with classical polarization dependent wavelength (PDW) shifts in the Lyman series, proves QFT inconsistent on antimatter

Bound state QED uses the Sommerfeld-Dirac double square root equation to obtain quartics (Mexican hat or double well curves), which can give away left-right symmetry or chiral behavior for particle systems as in the SM. We now show that errors of Bohr 2D fermion theory are classical H polarization dependent wavelength (PDW) shifts. The observed H line spectrum exhibits a quartic with critical n-values for phases 90 and 180 degrees: phase 90 refers to circular H polarization (chiral behavior); phase 180 to linear H polarization and inversion on the Coulomb field axis. These signatures probe H polarization with 2 natural, mutually exclusive hydrogen quantum states +1 and -1, i.e. H and H(bar). The H(bar) signatures are consistent with polarization angles or phases, hidden in de Broglie's standing wave equation, which derives from Compton's early experiments with sinusoidal wavelength shifts. Positive pressures in the matter well (H) become negative in the antimatter well (H(bar)), where they are linked with dark matter. We refute the widely spread ban on natural H(bar) and prove why QED, a quartic generating quantum field theory, classifies as inconsistent on neutral antimatter.

physics.gen-ph↗
arXiv2005

Chiral quantum mechanics (CQM) for antihydrogen systems

A first deception of QM on antiH already appears in one-center integrals for two-center systems (G. Van Hooydonk, physics/0511115). In reality, full QM is a theory for chiral systems but the QM establishment was wrong footed with a permutation of reference frames. With chiral quantum mechanics (CQM), the theoretical ban on natural antiH must be lifted as soon as possible.

physics.gen-ph↗
arXiv2005

Antisymmetry in hydrogenic HH+ and antihydrogenic antiHH+ cations: classical and ab initio quantum mechanical calculations

Ab initio quantum chemistry reveals how the charge-antisymmetric antihydrogenic antiHH+ state, deriving from conventional positional antisymmetry of a 3-unit charge system, is hidden in the PEC (potential energy curve) of the molecular hydrogen cation. Only with internal charge inversion and Coulomb's law, the anti-symmetry generated by positional coordinates can be understood but this solution was persistently overlooked. Stabilizing matter-antimatter interactions not only exist in nature, they are an essential element, even in wave mechanics, for explaining stable composite matter with a Coulomb model.

physics.gen-ph↗
arXiv2005

Theoretical and observed potential energy curves for neutral 4-unit charge Coulomb systems containing antihydrogen

Comparing observed and theoretical potential energy curves for natural and exotic neutral 4-unit charge Coulomb systems like HH and HantiH leads to new conclusions on the effect of charge-antisymmetry in nature. With singularities in the HantiH PEC as found by Aldrovandi and Puget and by Junker and Bardsley, any cusp in the HantiH PEC significantly affects the annihilation cross section. This problem for the HantiH interaction generated many new wave mechanical calculations mainly to remove annoying cusps. We review all available PECs for 4-unit charge systems and find that corrections for the Morgan-Hughes HantiH PEC can either go to the repulsive side (to the conventionally expected annihilation channel) or to the opposite attractive side (to the attractive branch of the observed PEC of natural molecular HH). We observe that all theoretical HantiH PECs published thus far would intersect the observed PEC of natural HH. This is, however, impossible with the non-crossing rule. A classical ab initio calculation of the electrostatic perturbation brings the HantiH PEC much closer to the observed HH PEC than to the PEC of the annihilative channel. This new unprecedented result for long-range behavior in 4-unit charge Coulomb systems confirms that natural antiH must exist and that molecule HH must be interpreted as HantiH. In fact, this seems to be the only solution left, if PECs for systems HH and HantiH with the same symmetry cannot cross.

physics.gen-ph↗
arXiv2005

Absolute proof that hydrogen-antihydrogen oscillations occur in nature

Detecting H-antiH oscillations is intimately connected with the existence of natural antiH. We detect natural H-antiH oscillations, generated by a classical spin-free Coulomb quantum gap, which we calculate analytically without any parameter. Oscillation times are much smaller than those predicted with the Standard Model. These unprecedented results also remove the so-called problem with matter-antimatter asymmetry in the Universe.

physics.gen-ph↗
arXiv2005

The 4-particle hydrogen-antihydrogen system revisited: twofold Hamiltonian symmetry and natural atom antihydrogen

Modern ab initio treatments of H-Hbar systems are inconsistent with the logic behind algebraic Hamiltonians H(+-)=H(0)+/-deltaH for charge-symmetrical and charge-asymmetrical 4 unit charge systems like H(2) and HHbar. Since these 2 Hamiltonians are mutually exclusive, only the attractive one can apply for stable natural molecular H(2). A wrong choice leads to problems with antiatom Hbar. In line with earlier results on band and line spectra, we now prove that HL chose the wrong Hamiltonian for H(2). Their theory explains the stability of attractive system H(2) with a repulsive Hamiltonian instead of with the attractive one, representative for charge-asymmetrical system HHbar. A new second order symmetry effect is detected. Repulsive HL Hamiltonian H(+) applies at long range but at the critical distance, attractive charge-inverted Hamiltonian H(-)takes over and leads to bond H(2) but in reality, HHbar, for which we give an analytical proof. Another wrong asymptote choice in the past also applies for atomic antihydrogen Hbar, which has hidden the Mexican hat potential for natural hydrogen. This generic solution removes most problems, physicists and chemists experience with atomic Hbar and molecular HHbar, including the problem with antimatter in the Universe.

physics.gen-ph↗
arXiv2005

A chiral 4-fermion structure for perturbed atom H: the question of antihydrogen

A chiral 4-fermion or 4-unit charge Coulomb structure for perturbed atom H implies that an intra-atomic H-Hbar transition must obey the same quantitative criteria as a classical intra-molecular Walden inversion. In a trigonal pyramid model for chiral molecule ABCD with A at the top, chirality is minimal when A crosses mirror plane BCD at critical angle pi/2 radians or 90 degrees. This angle is reproduced with one-electron energies of natural perturbed atom H. We prove how these results are still consistent with Bohr theory and the observed H-spectrum. Unlike bound state QED, we promote hydrogen mass to a critical variable and obtain, from first principles, a critical n-value equal to pi. We detect a Mexican hat or double well potential, hidden in the observed terms of natural perturbed atom H, which reveals how the symmetry of the electron-proton bond is broken naturally. The result is that recent claims by ATHENA- and ATRAP-collaborations on the mass production of Hbar may well be premature and that H-Hbar bonding schemes may have to be reconsidered, in line with recent observations (note added in proof: G. Van Hooydonk, Eur Phys J D, 32, 299 (2005)).

physics.gen-ph↗