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Hartwig Poth

    Four potential gravitation and its quantization
    A new theory of gravitation and its quantization
    A new theory of gravitation and its quantization - version 1.1
    Four potential gravitation amended
    Massless Particles and the Neutrino
    • The book explores the theoretical framework for a massless and spinless particle, termed the gravon, leading to a model for the free photon and its spin. It details how this particle interacts with Dirac electrons through their spins. Additionally, it presents a model for massless neutrinos, highlighting phenomena such as parity violation and neutrino flavors, ultimately deriving the concept of neutrino oscillations. This work delves into advanced concepts in particle physics, focusing on the interactions and behaviors of fundamental particles.

      Massless Particles and the Neutrino
    • Four potential gravitation amended

      • 56pages
      • 2 heures de lecture

      In the present amended theory the gravitation potential is considered as a four potential like the electromagnetic four potential but being subject to field equations different from Maxwell's. The new source term is the four rest mass current density like the four electrical charge current density in the electromagnetic theory. The Mercury perihelion like some other effects known from general relativity can be calculated likewise. Gravitational radiation can be calculated only up to a constant factor which is to be taken from general relativity. The gravitational four potential couples also to the antiparticle component of a moving rest mass particle. Thus, Einstein’s general theory of relativity still being based at the time of its conception on the classical single particle concept seems to be inappropriate. The spin of the gravitational field is zero. Moreover, with the Dirac equation a relativistic quantum mechanical equation of gravitation is obtained. The gravitational four potential obviously can be quantized. In principle, it can interact with the spin of the electron. However, free gravitational waves can not interact with the spin of the electron, also because free gravitational waves have no spin.

      Four potential gravitation amended
    • With de Broglie, mass is viewed as an oscillator within a unit volume, represented as a proper time density, which acts as a Lorentz scalar. This perspective positions it as a source of gravitational potential, also a Lorentz scalar. Consequently, gravitation in classical physics becomes relativistically velocity dependent. This framework explains the perihelion movement of Mercury, aligning with findings from Einstein’s general relativity. It also indicates that the orbital periods of planets and spacecraft flybys are shortened accordingly. Observations from the Gravity B Probe regarding geodesic precision and frame dragging further support this theory. Additionally, there exists gravitational monopole radiation and quasi multipole radiation, both comparable to Einstein’s predictions. Notably, the spin of this new gravitational field is zero in classical theory, leading to an amended calculation of the absolute Shapiro delay. The Dirac equation provides a relativistic quantum mechanical equation of gravitation that aligns with the new classical theory in the classical limit. Furthermore, a quantum mechanical equation for the photon is derived, accurately predicting light deflection under gravitation. The Lorentz scalar gravitational potential can be quantized, with its quanta referred to as gravons.

      A new theory of gravitation and its quantization - version 1.1
    • With de Broglie, mass is regarded as an oscillator within a unit volume as a proper time density (cf. equation 9, p.5) being a Lorentz scalar. That can be regarded as the source of the gravitational potential being also a Lorentz scalar. In classical physics gravitation thus becomes relativistically velocity dependent (cf. equation 24, p.7). The perihelion movement of Mercury follows from that in line with the results from Einstein’s theory of general relativity. The orbital periods of planets and hence spacecraft flybys are shortened by a corresponding extent. The geodesic precision and the frame dragging effect as observed by the Gravity B Probe follow also. There is a gravitational monopole radiation and quasi multipole radiation of the same magnitude as from Einstein’s theory of general relativity. The spin of the new gravitational field is zero in that classical theory. The calculation of the absolute Shapiro delay is amended. Moreover, with the Dirac equation a relativistic quantum mechanical equation of gravitation is obtained (cf. equation 192, p.33) which in the classical limit coincides with the new classical theory. Also a quantum mechanical equation of gravitation for the photon is obtained (cf. equation 211, p.35) which yields the correct deflection of light under gravitation. The Lorentz scalar gravitational potential can be readily quantized (cf. equation 233, p.39) and its quanta can be called gravons.

      A new theory of gravitation and its quantization
    • The gravitation potential is considered as a four potential like the electromagnetic four potential. The new source term is the four rest mass current density like the four electrical charge current density in the electromagnetic theory. That yields essentially the same results as the former scalar theory from the same author. The Mercury perihelion like some other effects known from general relativity can be calculated likewise. Gravitational radiation can be calculated only up to a constant factor which is to be taken from general relativity. In the preceding theory, there had been a calculation error insofar; in principle, however there is no difference to the result of general relativity. There is still also a gravitational monopole radiation. The spin of the new gravitational field is also zero. Moreover, with the Dirac equation a relativistic quantum mechanical equation of gravitation is obtained which in the classical limit coincides with the new classical theory. The new gravitational potential obviously can be quantized. In principle, the new gravitational potential can interact with the spin of the electron. However, free gravitational waves can not interact with the spin of the electron, also because free gravitational waves have no spin.

      Four potential gravitation and its quantization