Lot 446

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Albert Einstein AM Re: Unified Field Theory & Triangle Theorems

An autograph manuscript in German inscribed in the hand of Albert Einstein (1879-1955), the Nobel Prize-winning physicist, comprised of approximately 44 words and numbers. The paper fragment is numbered "(9)" in the upper right corner. A working document, the manuscript is lightly edited by Einstein, with several word insertions found on line 2. Expected wear including even toning and isolated edge darkening confined to the edges. A few gentle wrinkles and two tiny chips along the top edge, else near fine. The paper fragment is trimmed to an overall size of 8.375" x 1.875." Accompanied by a full English translation.

Translated in full:

"This correspondence would end, if we take (8a) or (9) as a field equation. Of course, this is just a formal reference of the choice of field equation made here, and not a real justification (owing to the strong overdetermination inherent in all such triangle theorems)."

Einstein discusses "Feldgleichung" or "field equations" and "Dreieckssätzen" (literally "triangle sets," or "triangle theorems") in connection with his Unified Field Theory. Einstein had been exploring if and how vectors, traditionally studied in Euclidean geometry, could be applied to his theories. He also experimented with gyrovector space, a concept developed by Abraham A. Ungar, used to study hyperbolic geometry (non-Euclidian geometry). Einstein referred back to the triangle theorems--those geometric truths regarding degrees, sides, angles, and parallel lines in triangles--to make determinations about relativistic velocities.

Einstein was internationally recognized as one of the greatest physicists of all time. He enunciated the General Theory of Relativity, a law explaining the relationship between the speed of light and its consequence, and the equivalence of mass and energy (E=MC2). For his work in theoretical physics—largely for his 1905 paper on photons and photo-electricity—Einstein was awarded the Nobel Prize for Physics (announced in November 1922, retroactive for 1921). Working on a Unified Field Theory, he then attempted to explain gravitation and electromagnetism within one set of laws.

This item comes with a Certificate from John Reznikoff, a premier authenticator for both major 3rd party authentication services, PSA and JSA (James Spence Authentications), as well as numerous auction houses.


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November 29, 2023 10:30 AM EST
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University Archives

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$1,000 $1,999 $100
$2,000 $2,999 $200
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$50,000 + $5,000