Quantizing the line element field

A metric with signature (-+++) can be constructed from a metric with signature (++++) and a double-sided vector field called the line element field. Some of the classical and quantum properties of this vector field are studied.Comment: 9 page

Testing the Limits of Antidiscrimination Law: The Business, Legal, and Ethical Ramifications of Cultural Profiling at Work

While courts have rarely ruled in favor of plaintiffs bringing discrimination claims based on identity performance, legal scholars have argued that discrimination on the basis of certain cultural displays should be prohibited because it creates a work environment that is heavily charged with ethnic and racial discrimination. Drawing upon empirical studies of diversity management, stereotyping, and group dynamics, we describe how workplace cultural profiling often creates an unproductive atmosphere of heightened scrutiny and identity performance constraints that lead workers (especially those from marginalized groups) to behave in less authentic, less innovative ways in diverse organizational settings

P-model Alternative to the T-model

Standard linguistic analysis of syntax uses the T-model. This model requires the ordering: D-structure $>$ S-structure $>$ LF, where D-structure is the deep structure, S-structure is the surface structure, and LF is logical form. Between each of these representations there is movement which alters the order of the constituent words; movement is achieved using the principles and parameters of syntactic theory. Psychological analysis of sentence production is usually either serial or connectionist. Psychological serial models do not accommodate the T-model immediately so that here a new model called the P-model is introduced. The P-model is different from previous linguistic and psychological models. Here it is argued that the LF representation should be replaced by a variant of Frege's three qualities (sense, reference, and force), called the Frege representation or F-representation. In the F-representation the order of elements is not necessarily the same as that in LF and it is suggested that the correct ordering is: F-representation $>$ D-structure $>$ S-structure. This ordering appears to lead to a more natural view of sentence production and processing. Within this framework movement originates as the outcome of emphasis applied to the sentence. The requirement that the F-representation precedes the D-structure needs a picture of the particular principles and parameters which pertain to movement of words between representations. In general this would imply that there is a preferred or optimal ordering of the symbolic string in the F-representation. The standard ordering is retained because the general way of producing such an optimal ordering is unclear. In this case it is possible to produce an analysis of movement between LF and D-structure similar to the usual analysis of movement between S-structure and LF. It is suggested that a maximal amount of information about a language's grammar and lexicon is stored, because of the necessity of analyzing corrupted data

The Relative Motion of Membranes

The relative classical motion of membranes is governed by an equation of the form D(hessian D separation)=riemann times separation times momentum. This is a generalization of the geodesic deviation equation and can be derived from a simple lagrangian. Quantum mechanically the picture is less clear. Some quantizations of the classical equations are attempted so that the question as to whether the Universe started with a quantum fluctuation can be addressed.Comment: To appear in the Central European Journal of Physics, updated to coincide withe the published version