have been several attempts in history to reach a unified theory of mathematics. Some of the most respected mathematicians in the academia have expressed...

in general relativity. Unified field theories attempt to organize these fields into a single mathematical structure. For over a century, the unified field...

Synthetic geometry Tautochrone curve Unifying theories in mathematics Waring's problem Warsaw School of Mathematics Lowndean Professor of Astronomy and...

Newton's work in his Mathematical Principles of Natural Philosophy dealt with this in a further example of unification, in this case unifying Galileo's work...

carriers, but one unified coupling constant. Unifying gravity with the electronuclear interaction would provide a more comprehensive theory of everything...

In mathematics, the Langlands program is a set of conjectures about connections between number theory, the theory of automorphic forms, and geometry....

nature – a unified field theory. Classical unified field theories are attempts to create a unified field theory based on classical physics. In particular...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

superstring theory. Although these theories initially appeared to be very different, work by many physicists showed that the theories were related in intricate...

general relativity's gravitational force in a mathematically consistent way. In comparison, other theories such as loop quantum gravity are considered...

in a unified way, many mathematical structures such as numbers, geometric shapes and polynomial roots. Because the concept of groups is ubiquitous in...

Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations...

integrator "Lie’s lasting achievements are the great theories he brought into existence. However, these theories – transformation groups, integration of differential...

In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory, is a speculative "theory of everything"...

theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in...

proposing a unified field theory called Heim theory, which he claimed could have applications to the development of hyperspace travel. In 1943, Heim met...

differently, the two theories are mathematically different descriptions of the same phenomena. In string theory and other related theories, a brane is a physical...

toward correspondence theories, 21% accept or lean toward deflationary theories and 14% epistemic theories. Correspondence theories emphasize that true...

of toposes as unifying bridges in mathematics has been pioneered by Olivia Caramello in her 2017 book. Caramello, Olivia (2017). Theories, Sites, Toposes:...

coding theory; discrete semigroups and monoids appear in the theory of formal languages. There are many concepts and theories in continuous mathematics which...

The foundational unification it proposed (see for example unifying theories in mathematics) has stood the test of time. EGA has been scanned by NUMDAM...

In July 2009, Jacques Distler and Skip Garibaldi published a critical paper in Communications in Mathematical Physics called "There is no 'Theory of...

[who?] the theory aims to unify various mathematical subfields, including topology, complex geometry, and algebraic geometry.[citation needed] In particular...

was an attempt by Albert Einstein to base a unified theory of electromagnetism and gravity on the mathematical structure of distant parallelism, also referred...

exemplified in the success of the mathematical formalism in providing a unified framework to describe the quantum field theories of electromagnetism, the weak...

quantization; theories that incorporate quantum mechanics are called quantum field theories. In most contexts, 'classical field theory' is specifically...

thought, mathematical scientific theories are more attractive than nominalist theories precisely because mathematics unifies and simplifies the theory. Field's...

physical theories". An alternative definition would also include those mathematics that are inspired by physics, known as physical mathematics. There are...

Grothendieck toposes as unifying 'bridges' in Mathematics (PDF) (HDR). Paris Diderot University (Paris 7). Caramello, Olivia (2017). Theories, Sites, Toposes:...

often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized...