We use the theory of abstract convexity to study adverse-selection principal-agent problems and two-sided matching problems, departing from much of the literature by not requiring quasilinear utility. We formulate and characterize a basic underlying implementation duality. We show how this duality can be used to obtain a sharpening of the taxation principle, to obtain a general existence result...

The phenomenon of duality in string theory provides an example of the underdetermination of the theoretical scheme by all possible empirical data. Empirically equivalent theories which arise due to string dualities differ in essential characteristics like the dimension and the topological position of their elementary objects and the form and dimensionality of spacetime. The obvious ontological ...

The main contribution of this paper is to present a canonical choice of a Hamiltonian theory corresponding to the theory of discrete Lagrangian mechanics. We make use of Lagrange duality and follow a path parallel to that used for construction of the Pontryagin principle in optimal control theory. We use duality results regarding sensitivity and separability to show the relationship between gen...

Quantum duality principle is applied to study classical limits of quantum algebras and groups. For a certain type of Hopf algebras the explicit procedure to construct both classical limits is presented. The canonical forms of quantized Lie-bialgebras are proved to be two-parametric varieties with two classical limits called dual. When considered from the point of view of quantized symmetries su...

Two previous articles (Bentwich, 2012: a & b) have postulated the existence of a new (hypothet‐ ical) Computational Unified Field Theory (CUFT) which appears to be capable of bridging the gap between Quantum Mechanics and Relativity Theory within a conceptually higher-or‐ dered ('D2') Universal Computational Principle (' י'), thereby representing a potential candi‐ date for a 'Theory of Everyth...

I propose that self–duality in quantum phase–space provides the criteria for the selection of the quantum gravity vacuum. The evidence for this assertion arises from two independent considerations. The first is the phenomenological success of the free fermionic heterotic–string models, which are constructed in the vicinity of the self–dual point under T–duality. The relation between the free fe...

Recently we have created a multitime maximum principle gathering together some concepts in Mechanics, Field Theory, Differential Geometry, and Control Theory. The basic tools of our theory are variational PDE systems, adjoint PDE systems, Hamiltonian PDE systems, duality, multitime maximum principle, incavity on manifolds etc. Now we justify the multitime maximum principle for curvilinear integ...

A dynamical theory is studied in which a scalar field φ in Einstein-Minkowski space is coupled to the four-velocity Nμ of a preferred inertial observer in that space. As a consistent requirement on this coupling we study a principle of duality invariance of the dynamical mass-term of φ at some universal length in the smalldistance regime. In the large-distance regime duality breaking can be int...

The holographic principle in the pp-wave limit proposed in our previous works is further confirmed by studying impurity non-preserving processes which contain a fermionic BMN operator with one scalar and one fermion impurities. We show that the previously proposed duality relation between the matrix elements of the three point interaction Hamiltonian in the holographic string field theory and t...

Most physics books do not reveal clearly how the Heisenberg uncertainty principle was derived. This comes from consequence of wave-particle duality matter giving statement that position and momentum cannot be measured in same time. article tries to mathematics background behind expression using supported such as Fourier transform, transform integral, probability Gaussian distribution it ends up...