Erwin Schrodinger — "My solution was not motivated by the desire to reduce the number of independent …"

My solution was not motivated by the desire to reduce the number of independent constants in nature, but rather by the desire to avoid the infinite self-energy of the electron.
Erwin Schrodinger — Erwin Schrodinger Modern · Wave mechanics

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About Erwin Schrodinger (1887-1961)

Austrian physicist who shared the 1933 Nobel for the wave equation that bears his name and the famous cat thought-experiment. Closely associated with Werner Heisenberg (matrix-mechanics rival who reached the same physics by different math) and Albert Einstein (his pen-pal on quantum interpretation). For an intellectual contrast, see Niels Bohr, Danish physicist and architect of the Copenhagen interpretation — Schrödinger's cat thought-experiment was specifically designed to ridicule Bohr's 'observer-dependent reality' reading of quantum mechanics — Schrödinger thought the Copenhagen interpretation was absurd; the cat was meant as reductio ad absurdum.

Details

Letter to Arnold Sommerfeld

Date: 1926

General

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Understanding this quote

What it means

Schrödinger clarifies that his theoretical work wasn't driven by the desire for elegant simplification — reducing the number of independent physical constants that appear in nature, a goal many unifiers pursued. His real motivation was a concrete, pressing problem: classical physics treats the electron as a point particle, causing its self-generated electromagnetic energy to blow up to infinity. He wanted a formulation that sidestepped this mathematical catastrophe.

Relevance to Erwin Schrodinger

Schrödinger's 1926 wave equation replaced the classical point electron with a spread-out wave function — inherently dissolving the self-energy singularity by distributing the electron across space. He was renowned for physical intuition grounded in real problems rather than abstract elegance. His lifelong commitment to wave-based reality over particle discreteness reflects exactly what this quote states: physics should resolve genuine physical absurdities, not chase mathematical minimalism or unification for its own sake.

The era

In the 1920s, the electron's infinite self-energy was one of physics' deepest embarrassments — classical electrodynamics predicted that a point charge generates an infinite field energy at its own location, a result with no physical meaning. Renormalization techniques to handle such infinities wouldn't mature until QED in the 1940s. Simultaneously, Einstein's unified field theory program dominated headlines, making Schrödinger's pointed disclaimer — this wasn't about unification — a meaningful positioning within that charged theoretical landscape.

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