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Abstract
Given the experimental precision in condensed matter physics – positions are measured with errors of less than 0.1pm, energies with about 0.1meV, and temperature levels are below 20mK – it can be inferred that standard quantum mechanics, with its inherent uncertainties, is a model at the end of its natural lifetime. In this presentation I explore the elements of a future deterministic framework based on the synthesis of wave mechanics and density functional theory at the single-electron level.
Highlights
The paper describes research presented at the EmQM 13 conference. It gives an overview of work on quantum mechanics through about fifteen years, from the first paper on extended electrons and photons published in 1998 [1], to the last paper on quantum nonlocality and Belltype experiments in 2012 [2]
A final section contains the first steps towards a density functional theory of atomic nuclei, presented for the first time at the conference in Vienna
My publications on quantum mechanics possess a gap from about 2002 to 2010. This was due to the realization that I could not account for a simple fact: I could not explain, how the electron changes its wavelength, when it changes its velocity
Summary
The paper describes research presented at the EmQM 13 conference. It gives an overview of work on quantum mechanics through about fifteen years, from the first paper on extended electrons and photons published in 1998 [1], to the last paper on quantum nonlocality and Belltype experiments in 2012 [2]. A connection, which should explain the physical origins of wavefunctions in the standard model It should explain, how density distributions may change as a consequence of changes to the electron velocity, underpinning the wave properties of electrons, found in all experiments. We can recover the standard equations of wave mechanics, if we define the Schrodinger wavefunction as a complex scalar, retaining the direction of the spin component as a hidden variable. We propose a different framework for a many electron system, which scales linearly with the number of electrons and remains local Such a model can be achieved by including a bivector potential into a generalized Schrodinger equation in the following way: iev vb ρ1/2 + iesS1/2 = μ ρ1/2 + iesS1/2. This, we think, demonstrates more than anything else the problems of the standard framework
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