A solution to the problem of unifying the General Relativistic and Quantum Theoretical formalisms is given which introduces a new non-axiomatic symbolic method and an algebraic generalization of the Calculus to non-finite symbolisms without reference to the concept of a limit. An essential feature of the non-axiomatic method is the inadequacy of any (finite) statements: Identifying this aspect of the theory with the "existence of an external physical reality" both allows for the consistency of the method with the results of experiments and avoids the so-called "measurement problem" of quantum theory.A solution to the problem of unifying the General Relativistic and Quantum Theoretical formalisms is given which introduces a new non-axiomatic symbolic method and an algebraic generalization of the Calculus to non-finite symbolisms without reference to the concept of a limit. An essential feature of the non-axiomatic method is the inadequacy of any (finite) statements: Identifying this aspect of the theory with the "existence of an external physical reality" both allows for the consistency of the method with the results of experiments and avoids the so-called "measurement problem" of quantum theory.

arXiv:physics/0006070Jun 28, 20000 citations

Relativistic Schrodinger equation. II

N. I. Ionescu-Pallas

Dec 1, 19730 citations

Relativistic recoil in radiative atomic transitions

Hartmut M. Pilkuhn

A modified time-dependent perturbation theory for single-photon emission is proposed, which yields the exact photon energy for a relativistically recoiling atom. The relevant unperturbed ``Hamiltonian'' has stationary eigenvalues ${E}^{2}$ . Its form is generalized here to hydrogenic atoms of arbitrary nuclear spins.A modified time-dependent perturbation theory for single-photon emission is proposed, which yields the exact photon energy for a relativistically recoiling atom. The relevant unperturbed ``Hamiltonian'' has stationary eigenvalues ${E}^{2}$. Its form is generalized here to hydrogenic atoms of arbitrary nuclear spins.

Physical Review AOct 21, 20043 citations

Rasan Atomic Model (RAM-0.2): Technical Validation of Multi-Particle Extension, Radial Numerical Solution and 1S–2S Spectroscopy Assessment

Rasan Soltani

This technical report presents the current status of the Rasan Atomic Model (RAM-0.2), a nonlinear phenomenological extension of the non-relativistic Schrödinger equation for the hydrogen atom. Key contents:- Self-consistent numerical solution of the radial equation for the 1s and 2s states- Proposed (but incomplete) multi-particle and radiation-field generalization- Clear distinction between the energy-functional gap and the stationary nonlinear eigenvalue gap- Conditional spectroscopic sensitivity estimates for the 1S–2S transition- Explicit statement that the model is still a research hypothesis, not a complete QED theory, and that no unique spectral prediction is yet available The accompanying files include:- Reproducible Python code for the radial SCF solver- CSV tables of grid convergence and spectroscopic comparison- Sensitivity plot Scientific status: Research hypothesis under development. Not a confirmed theory, not a violation of standard quantum mechanics, and not yet suitable for patent claims or claims of being a complete atomic model.This technical report presents the current status of the Rasan Atomic Model (RAM-0.2), a nonlinear phenomenological extension of the non-relativistic Schrödinger equation for the hydrogen atom. Key contents:- Self-consistent numerical solution of the radial equation for the 1s and 2s states- Proposed (but incomplete) multi-particle and radiation-field generalization- Clear distinction between the energy-functional gap and the stationary nonlinear eigenvalue gap- Conditional spectroscopic sensitivity estimates for the 1S–2S transition- Explicit statement that the model is still a research hypothesis, not a complete QED theory, and that no unique spectral prediction is yet available The accompanying files include:- Reproducible Python code for the radial SCF solver- CSV tables of grid convergence and spectroscopic comparison- Sensitivity plot Scientific status: Research hypothesis under development. Not a confirmed theory, not a violation of standard quantum mechanics, and not yet suitable for patent claims or claims of being a complete atomic model.

Oct 15, 20260 citations

The Inverse Eigenvalue Problem in Quantum Mechanics

Martin Wilner

Bulletin of the American Physical SocietyApr 9, 20110 citations

{E}^{2}

. Its form is generalized here to hydrogenic atoms of arbitrary nuclear spins.