4,183 research outputs found
It\u27s Time for a Good Hard Look in the Mirror: The Corporate Law Example
This Article asserts that the move from the industrial age to the
information age represents a fundamental change to our society on
such a widespread basis that the legal order must reexamine the
premises about how our society functions, assessing whether
foundational elements of U.S. Common Law remain valid. This
Article first confronts briefly the continuing acceptance of certain
foundational premises in contract and intellectual property law,
illustrating that such premises are no longer supported by the
realities of modern society. With fundamental change challenging
multiple areas of law in the information age, this problem is worthy
of widespread inquiry by legal scholars in various fields. This
Article then turns to a detailed analysis of the premises supporting
shareholder primacy in corporate law, demonstrating that the historic
justifications for allocations of ownership, control and duties no
longer support these premises. Based on the relative needs of today’s
businesses vis-Ă -vis the contributions of various other constituencies,
this Article asserts that employees should also have certain duties
owed to them. This Article concludes with a novel model for
creating such a stake in the form of a springing right to profit
sharing
Matrix geometries and fuzzy spaces as finite spectral triples
A class of real spectral triples that are similar in structure to a
Riemannian manifold but have a finite-dimensional Hilbert space is defined and
investigated, determining a general form for the Dirac operator. Examples
include fuzzy spaces defined as real spectral triples. Fuzzy 2-spheres are
investigated in detail, and it is shown that the fuzzy analogues correspond to
two spinor fields on the commutative sphere. In some cases it is necessary to
add a mass mixing matrix to the commutative Dirac operator to get a precise
agreement for the eigenvalues.Comment: 39 pages, final versio
THE BIBLICAL FOUNDATIONS OF JUST-PEACEMAKING THEORY: MATTHEW 5:38–41 AS ACTIVE NONVIOLENT RESISTANCE WITHIN THE HONOR-SHAME PARADIGM
Free Speech Has Gotten Very Expensive: Rethinking Political Speech Regulation in a Post-Truth World
(Excerpt)
Protecting free speech has been a foundational principle of American democracy since the nation’s founding. A core element of free speech has long been a prohibition on regulating political speech. The principle behind this protection holds that citizens are free to make whatever political pronouncements they wish and that their speech shall remain free from government suppression. Even within the limited exceptions to unfettered political speech, like defamation or libel, the speech is not banned but may merely result in liability. A premise underlying this view is that competing viewpoints, by being made available to us all, will allow the best ideas to emerge and for truth to prevail over falsehood. Even though such an approach may be imperfect at times, the historic view holds that the risks associated with regulating political speech are far worse: allowing the government and those in power to suppress dissenting voices and thereby consolidate power
Existence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers
We show the existence of global-in-time weak solutions to a general class of
coupled FENE-type bead-spring chain models that arise from the kinetic theory
of dilute solutions of polymeric liquids with noninteracting polymer chains.
The class of models involves the unsteady incompressible Navier-Stokes
equations in a bounded domain in two or three space dimensions for the velocity
and the pressure of the fluid, with an elastic extra-stress tensor appearing on
the right-hand side in the momentum equation. The extra-stress tensor stems
from the random movement of the polymer chains and is defined by the Kramers
expression through the associated probability density function that satisfies a
Fokker-Planck-type parabolic equation, a crucial feature of which is the
presence of a center-of-mass diffusion term. We require no structural
assumptions on the drag term in the Fokker-Planck equation; in particular, the
drag term need not be corotational. With a square-integrable and
divergence-free initial velocity datum for the Navier-Stokes equation and a
nonnegative initial probability density function for the Fokker-Planck
equation, which has finite relative entropy with respect to the Maxwellian of
the model, we prove the existence of a global-in-time weak solution to the
coupled Navier-Stokes-Fokker-Planck system. It is also shown that in the
absence of a body force, the weak solution decays exponentially in time to the
equilibrium solution, at a rate that is independent of the choice of the
initial datum and of the centre-of-mass diffusion coefficient.Comment: 75 page
An algebraic interpretation of the Wheeler-DeWitt equation
We make a direct connection between the construction of three dimensional
topological state sums from tensor categories and three dimensional quantum
gravity by noting that the discrete version of the Wheeler-DeWitt equation is
exactly the pentagon for the associator of the tensor category, the
Biedenharn-Elliott identity. A crucial role is played by an asymptotic formula
relating 6j-symbols to rotation matrices given by Edmonds.Comment: 10 pages, amstex, uses epsf.tex. New version has improved
presentatio
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