Scalar Field Theory on Non-commutative Snyder Space-Time

We construct a scalar field theory on the Snyder non-commutative space-time. The symmetry underlying the Snyder geometry is deformed at the co-algebraic level only, while its Poincar\'e algebra is undeformed. The Lorentz sector is undeformed at both algebraic and co-algebraic level, but the co-product for momenta (defining the star-product) is non-co-associative. The Snyder-deformed Poincar\'e group is described by a non-co-associative Hopf algebra. The definition of the interacting theory in terms of a non-associative star-product is thus questionable. We avoid the non-associativity by the use of a space-time picture based on the concept of realization of a non-commutative geometry. The two main results we obtain are: (i) the generic (namely for any realization) construction of the co-algebraic sector underlying the Snyder geometry and (ii) the definition of a non-ambiguous self interacting scalar field theory on this space-time. The first order correction terms of the corresponding Lagrangian are explicitly computed. The possibility to derive Noether charges for the Snyder space-time is also discussed.Comment: 10 pages; v2: introduction rewritten, co-algebraic analysis improved, references added; to appear in PR

Discussion of "Test Characteristics of a Combined Pump-Turbine Model with Wicket Gates"

[no abstract

Geophysical model of the Midcontinent Geophysical Anomaly in northeastern Kansas

A geophysical model of the Midcontinent Geophysical Anomaly (MGA) in northeastern Kansas was derived to fit gravity and magnetic data using an initial model suggested from COCORP seismic sections, along with available drill data. An asymmetric basin filled with interbedded basaltic and clastic rocks in the shallow crust, interpreted by Serpa et al. (1984), appears to be mainly responsible for the primary positive magnetic anomaly of the MGA. The favorable magnetization of 60° inclination and 320° declination indicates that the remanent magnetization is an important factor. Reprocessing part of COCORP seismic data reveals a possible mafic intrusion in the shallow crust beneath a secondary magnetic high. Its favorable net magnetization of 30° inclination and 80° declination suggests it occurred in a different ambient earth's magnetic field than that in which the basaltic rift basin was formed. In addition, the nonmagnetic source of high density at midcrustal levels extending to deep crust and the nonmagnetic Rice Formation basins of low density at shallow crust on both sides of the MGA were proposed to fit the gravity anomaly. The final derived model infers the mafic intrusion in the shallow crust beneath the secondary magnetic high to be of younger age than the Rice Formation

Geophysical model of the Midcontinent Geophysical Anomaly in northeastern Kansas

A geophysical model of the Midcontinent Geophysical Anomaly (MGA) in northeastern Kansas was derived to fit gravity and magnetic data using an initial model suggested from COCORP seismic sections, along with available drill data. An asymmetric basin filled with interbedded basaltic and clastic rocks in the shallow crust, interpreted by Serpa et al. (1984), appears to be mainly responsible for the primary positive magnetic anomaly of the MGA. The favorable magnetization of 60° inclination and 320° declination indicates that the remanent magnetization is an important factor. Reprocessing part of COCORP seismic data reveals a possible mafic intrusion in the shallow crust beneath a secondary magnetic high. Its favorable net magnetization of 30° inclination and 80° declination suggests it occurred in a different ambient earth's magnetic field than that in which the basaltic rift basin was formed. In addition, the nonmagnetic source of high density at midcrustal levels extending to deep crust and the nonmagnetic Rice Formation basins of low density at shallow crust on both sides of the MGA were proposed to fit the gravity anomaly. The final derived model infers the mafic intrusion in the shallow crust beneath the secondary magnetic high to be of younger age than the Rice Formation

Seismic-reflection study in Rice County, Kansas

During the summer of 1983, a MiniSOSIE seismic-reflection study was conducted in Rice County in which an 11.2-km (7-mi) 12-fold common depth point (CDP) profile was shot to investigate several local structural and stratigraphic features. The seismic line was oriented east-west, perpendicular to the local structural grain. Several units, ranging from the Arbuckle through the Mississippian limestones, subcrop beneath the basal Pennsylvanian angular unconformity in this area. The subcrop pattern is dominantly north-south and is related to the eastward dip of these units off the Central Kansas uplift. Reflectors in excess of 1,070-m (3,500-ft) depth are detectable on the seismic profile. The deepest reflectors (0.850 secs) correspond to the Precambrian Rice Formation. Good reflectors occur in the lower Paleozoic section corresponding to a local limestone in the Chattanooga Shale and the subjacent Maquoketa-Viola formations. Several limestones in the Upper Pennsylvanian and Permian section also are good reflectors of seismic energy. Stratigraphic features such as local thinning or thickening and channel cuts can be detected in this part of the stratigraphic section. The Lyons anticline, a local north-south-trending structure currently used for gas storage, also is expressed on the seismic line. The seismic profile shows the structural history of this anticline to be long and complex. Initially, the anticline was a broad, symmetric feature possibly related to the formation of the Precambrian Keweenawan rift. Minor growth may have occurred prior to the deposition of the Chattanooga Shale. A third major period of movement occurred during Late Mississippian to Early Pennsylvanian time when a reverse fault developed on the west flank of the structure, thereby making the structure an asymmetric anticline. Minor structural movement occurred again subsequent to the development of the basal Pennsylvanian angular unconformity

Seismic-reflection study in Rice County, Kansas

During the summer of 1983, a MiniSOSIE seismic-reflection study was conducted in Rice County in which an 11.2-km (7-mi) 12-fold common depth point (CDP) profile was shot to investigate several local structural and stratigraphic features. The seismic line was oriented east-west, perpendicular to the local structural grain. Several units, ranging from the Arbuckle through the Mississippian limestones, subcrop beneath the basal Pennsylvanian angular unconformity in this area. The subcrop pattern is dominantly north-south and is related to the eastward dip of these units off the Central Kansas uplift. Reflectors in excess of 1,070-m (3,500-ft) depth are detectable on the seismic profile. The deepest reflectors (0.850 secs) correspond to the Precambrian Rice Formation. Good reflectors occur in the lower Paleozoic section corresponding to a local limestone in the Chattanooga Shale and the subjacent Maquoketa-Viola formations. Several limestones in the Upper Pennsylvanian and Permian section also are good reflectors of seismic energy. Stratigraphic features such as local thinning or thickening and channel cuts can be detected in this part of the stratigraphic section. The Lyons anticline, a local north-south-trending structure currently used for gas storage, also is expressed on the seismic line. The seismic profile shows the structural history of this anticline to be long and complex. Initially, the anticline was a broad, symmetric feature possibly related to the formation of the Precambrian Keweenawan rift. Minor growth may have occurred prior to the deposition of the Chattanooga Shale. A third major period of movement occurred during Late Mississippian to Early Pennsylvanian time when a reverse fault developed on the west flank of the structure, thereby making the structure an asymmetric anticline. Minor structural movement occurred again subsequent to the development of the basal Pennsylvanian angular unconformity

The Winning National Moot Court Brief

The Nebraska Law Review is proud to reproduce here the winning brief of the Seventh Annual National Moot Court Competition submitted by a three-member team representing the University of Nebraska College of Law. To retain that value which may be gained from the brief as a style guide for other collegiate teams in moot court competitions and for the practicing lawyer, the brief is published as it appeared in the final round of competition, rather than in the newly adopted format and typographical style of the Nebraska Law Review. More important, the substance of the brief deals with a perplexing problem of the criminal law-the defense of insanity. The brief is of course a document advocating one side of the issue. The following brief summary of the legal issue raised is included to place the brief in its proper context

The Winning National Moot Court Brief

The Nebraska Law Review is proud to reproduce here the winning brief of the Seventh Annual National Moot Court Competition submitted by a three-member team representing the University of Nebraska College of Law. To retain that value which may be gained from the brief as a style guide for other collegiate teams in moot court competitions and for the practicing lawyer, the brief is published as it appeared in the final round of competition, rather than in the newly adopted format and typographical style of the Nebraska Law Review. More important, the substance of the brief deals with a perplexing problem of the criminal law-the defense of insanity. The brief is of course a document advocating one side of the issue. The following brief summary of the legal issue raised is included to place the brief in its proper context

Suitability of high-resolution seismic method to identifying petroleum reservoirs in Kansas--a geological perspective

Kansas has been a part of a stable craton since at least the beginning of the Paleozoic some 550 m. y. ago. The majority of the sedimentary rocks deposited during the last 550 m. y. are products of numerous inundations by shallow seas. Interspersed with these transgressions were periods of erosion, many coinciding with widespread uplift. The distribution of reservoir-quality rocks has been controlled by the varying structural and depositional settings in both time and space. The identification of these reservoirs begins with a knowledge of the geologic history as detailed by the vast subsurface information base, mainly wire line logs and completion records, that is available for Kansas. Seismic profiling has been and will continue to be used effectively to resolve structural traps. The trend in exploration in the midcontinent has been to strengthen the search for reservoirs associated with more subtle structures and difficult-to-find stratigraphic traps. Stratigraphic traps will become increasingly important, particularly within established production trends. The many unconformities in the midcontinent stratigraphic column afford numerous types of trapping geometry such as truncation beneath an unconformity, traps associated with buried valleys, discontinuous onlap onto erosion surfaces, and porosity pinchouts due to changes in original depositional conditions and diagenetic alteration. The most widespread petroleum accumulations in Kansas occur in structural and stratigraphic traps associated with the pre-Pennsylvanian unconformity. Production associated with the unconformity includes numerous lower Paleozoic pay zones which subcrop directly beneath the unconformity in the Sedgwick, Salina, and Anadarko basins; the Arbuckle production on the Central Kansas uplift; and numerous fields which payout from either conglomerates or weathered zones along the unconformity. Considerable production also occurs farther up-section with the Cherokee and Lansing-Kansas City groups, and down-section in the Viola Formation and Simpson Group. In order to demonstrate the potential use of the seismic method in defining subtle traps, synthetic seismograms were produced for selected strata in central Kansas. Critical attributes of reservoir rock and associated strata conducive to seismic stratigraphic processing include the thickness of a potential reservoir bed and its velocity and density contrast with adjacent strata. Thicker strata such as the Morrow and most lower Paleozoic formations may be more easily defined by seismic-stratigraphic methods. In contrast, the stratigraphy of the Pennsylvanian and Permian cyclothems may not be amenable to definition by seismic methods because these units contain heterogenous reservoirs interbedded with other thin strata of similar composition