EINSTEIN, ALBERT. 1879-1955. Autograph scientific manuscript leaf in German, "Beschränkung der Tensor-Bildung durch Differentiation" ["Restriction of the formation of tensors by differentiation"], from a draft of a new paper on the Unified Field Theory, 1 p, 278 x 216 mm, written recto only, numbered "9" in autograph upper right hand corner, including autograph mathematical equations on Field Theory, n.p., early-1940s.
EINSTEIN PIONEERS A NEW APPROACH TO UNIFIED FIELD THEORY. Beginning in the early 1940s, Einstein embarked on a new and final approach to a Unified Field Theory. Seeking to use the mathematical framework of General Relativity as its basis, Einstein investigated the implications of expanding the mathematical capacity of the metric tensor, making it capable of supporting both complex coordinates and asymmetric components. The mathematics of such asymmetric Field Theory was not well understood at the time, and Einstein essentially had to "feel his way forward." He spent the rest of his life exploring a succession of UFT models, each constructed on a different mathematical basis.
In the present leaf, entitled "Restriction of the formation of tensors by differentiation," Einstein is looking to place "a constraint on the formation of invariant field equations." After explaining that he is working with "field quantities in an eight-dimensional complex space S8," Einstein indicates that "the differentiation-formations are to be limited in such a way, that one differentiates only within S4." Einstein then explicitly gives the differentiation operator that supports such restriction.
An elegant representation of the mathematical methods and techniques Einstein employed in the course of his final work with Unified Field Theory, this manuscript likely reflects an early stage of these explorations into asymmetric Field Theory.
Einstein basically published nothing on Unified Field Theory during the early 1940s, but was consumed with his pursuit. Likely reflecting an abandoned approach, and formally unpublished and unstudied, this manuscript offers an important look at Einstein's method and genius in pursuit of his ultimate goal.
EINSTEIN, ALBERT. 1879-1955. Autograph scientific manuscript leaf in German, "Beschränkung der Tensor-Bildung durch Differentiation" ["Restriction of the formation of tensors by differentiation"], from a draft of a new paper on the Unified Field Theory, 1 p, 278 x 216 mm, written recto only, numbered "9" in autograph upper right hand corner, including autograph mathematical equations on Field Theory, n.p., early-1940s.
EINSTEIN PIONEERS A NEW APPROACH TO UNIFIED FIELD THEORY. Beginning in the early 1940s, Einstein embarked on a new and final approach to a Unified Field Theory. Seeking to use the mathematical framework of General Relativity as its basis, Einstein investigated the implications of expanding the mathematical capacity of the metric tensor, making it capable of supporting both complex coordinates and asymmetric components. The mathematics of such asymmetric Field Theory was not well understood at the time, and Einstein essentially had to "feel his way forward." He spent the rest of his life exploring a succession of UFT models, each constructed on a different mathematical basis.
In the present leaf, entitled "Restriction of the formation of tensors by differentiation," Einstein is looking to place "a constraint on the formation of invariant field equations." After explaining that he is working with "field quantities in an eight-dimensional complex space S8," Einstein indicates that "the differentiation-formations are to be limited in such a way, that one differentiates only within S4." Einstein then explicitly gives the differentiation operator that supports such restriction.
An elegant representation of the mathematical methods and techniques Einstein employed in the course of his final work with Unified Field Theory, this manuscript likely reflects an early stage of these explorations into asymmetric Field Theory.
Einstein basically published nothing on Unified Field Theory during the early 1940s, but was consumed with his pursuit. Likely reflecting an abandoned approach, and formally unpublished and unstudied, this manuscript offers an important look at Einstein's method and genius in pursuit of his ultimate goal.
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.jpg "Source: Christie's")
.jpg "Source: Christie's")
.jpg "Source: Christie's")
.jpg "Source: Christie's")
