
TL;DR
This paper argues that by incorporating nonlinear mathematics into Schrödinger's wavefunction theory, it is possible to resolve fundamental issues like the Measurement and Randomness Problems, potentially simplifying quantum explanations.
Contribution
It introduces a nonlinear modification to Schrödinger's equation that addresses longstanding foundational problems in quantum mechanics.
Findings
Nonlinear addition to Schrödinger's equation can explain measurement outcomes.
The approach potentially eliminates the need for particles in quantum explanations.
The modification offers a unified framework for quantum phenomena.
Abstract
Now that we have reached the centennial of Erwin Schrodinger's seminal paper introducing the wavefunction theory of matter, it is right and proper to inquire as to its legacy. It is undeniable that today every paper in atomic physics cites his 1926 equation in the first paragraph. But the philosophy undergirding the wavefunction seems to have fallen into the shadows. And Schrodinger left his program incomplete. I will argue here that recent developments in nonlinear mathematics, including so-called "chaos theory", permit finishing the task. It turns out that one nonlinear addition to his equation from 1926 can resolve both the Measurement Problem and the Randomness Problem. With this emendation, the wavefunction alone suffices to explain the outcomes of many experiments (and it is particles that can be relegated to the shadows).
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Taxonomy
TopicsQuantum Mechanics and Applications · Philosophy and History of Science · Relativity and Gravitational Theory
