Hilbert’s “World Equations” and His Vision of a Unified Science

@article{Majer2005HilbertsE,
  title={Hilbert’s “World Equations” and His Vision of a Unified Science},
  author={Ulrich Majer and Tilman Sauer},
  journal={arXiv: History and Philosophy of Physics},
  year={2005},
  volume={11},
  pages={259-276}
}
  • U. Majer, T. Sauer
  • Published 20 May 2004
  • Mathematics
  • arXiv: History and Philosophy of Physics
In summer 1923, a year after his lectures on the `New Foundation of Mathematics' and half a year before the republication of his two notes on the `Foundations of Physics,' Hilbert delivered a trilogy of lectures in Hamburg. In these lectures, Hilbert expounds in an unusually explicit manner his epistemological perspective on science as a subdiscipline of an all embracing science of mathematics. The starting point of Hilbert's considerations is the claim that the class of gravitational and… 

Hilbert's Foundation of Physics: From a Theory of Everything to a Constituent of General Relativity

Remarkably, Einstein was not the first to discover the correct form of the law of warpage [of space-time, i.e. the gravitational field equations], the form that obeys his relativity principle.

On the History of Unified Field Theories

TLDR
The main theme is the unification of the electromagnetic and gravitational fields augmented by short-lived attempts to include the matter field described by Schrödinger’s or Dirac's equations.

Einstein and the Development of Twentieth-Century Philosophy of Science

Introduction What is Albert Einstein’s place in the history of twentieth-century philosophy of science? Were one to consult the histories produced at mid-century from within the Vienna Circle and

Local axioms in disguise: Hilbert on Minkowski diagrams

TLDR
Hilbert’s assessment of Minkowski’'s diagrammatic methods in number theory both raises and illuminates conceptual compatibility concerns that were crucial to his philosophy of mathematics.

Bernhard Riemann, a(rche)typical mathematical-physicist?

The work of Bernhard Riemann is discussed under the perspective of present day mathematics and physics, and with a prospective view towards the future, too. Against the (unfortunately rather

Where We Stand Today

In his work of 1918, Hermann Weyl extended the general theory of relativity, which Albert Einstein had set forth in the years 1915–1916, to unify the two field phenomena known at this time, namely

Mass–Energy–Momentum: Only there Because of Spacetime?

  • Dennis Lehmkuhl
  • Physics
    The British Journal for the Philosophy of Science
  • 2011
I describe how relativistic field theory generalizes the paradigm property of material systems, the possession of mass, to the requirement that they have a mass–energy–momentum density tensor Tμν

References

SHOWING 1-10 OF 37 REFERENCES

Hilbert's Foundation of Physics: From a Theory of Everything to a Constituent of General Relativity

Remarkably, Einstein was not the first to discover the correct form of the law of warpage [of space-time, i.e. the gravitational field equations], the form that obeys his relativity principle.

The Varieties of Unity: Sounding Unified Theories 1920–1930

The “goal of the ultimate“1 — that is, the unification of all fundamental physical phenomena in a single explanatory scheme — had perhaps never seemed so close at hand for many physicists and

Hopes and Disappointments in Hilbert’s Axiomatic “Foundations of Physics”

Sixteen years after his “Foundations of Geometry,” Hilbert published a communication that bears a similar and, by use of the definite article, even less mistakable title: “The Foundations of

On the History of Unified Field Theories

TLDR
The main theme is the unification of the electromagnetic and gravitational fields augmented by short-lived attempts to include the matter field described by Schrödinger’s or Dirac's equations.

Subtle Is the Lord: The Science and the Life of Albert Einstein

Since the death of Albert Einstein in 1955 there have been many books and articles written about the man and a number of attempts to "explain" relativity. In this new major work Abraham Pais, himself

Unified Field Theories: in the first third of the 20th century

1 The Electromagnetic Program for the Synthesis of Physics.- 2 The General Theory of Relativity: The Core of the Program of Unified Field Theories.- 3 Weyl's Theory: The First Truly Geometrized

The Relativity of Discovery: Hilberts First Note on the Foundations of Physics

L'A. analyse la note et les travaux de recherche de D. Hilbert sur les fondements de la physique par rapport a la theorie de la relativite et les equations de la gravitation d'Einstein

Vorlesungen uber die Entwicklung der Mathematik im 19. Jahrhundert

Kaum jemals wird tin Werk eines Historikers einen so starken Reiz tiben und so tiefe Einblicke in das Wesen der Geschichte offnen wie Gedanken und Erinnerungen eines groBen Staatsmannes, welcher

Preussische Akademie der Wissenschaften, Phys.-math. Klasse

  • 1923