Minimal Pati-Salam Model from String Theory Unification

We provide what we believe is the minimal three family ${\cal N} = 1$ SUSY and conformal Pati-Salam Model from type IIB superstring theory. This $Z_3$ orbifolded AdS$\otimes S^5$ model has long lived protons and has potential phenomenological consequences for LHC.Comment: 8 page

Long-Wavelength Modes of Cosmological Scalar Fields

We give a numerical analysis of long-wavelength modes in the WKB approximation of cosmological scalar fields coupled to gravity via $\xi\phi^{2}R$. Massless fields are coupled conformally at $\xi=1/6$. Conformality can be preserved for fields of nonzero mass by shifting $\xi$. We discuss implications for density perturbations.Comment: 10 pages, 10 figures, several stylistic improvement

Primordial Black Holes, Hawking Radiation and the Early Universe

The 511 keV gamma emission from the galactic core may originate from a high concentration ($\sim 10^{22}$) of primordial black holes (PBHs) in the core each of whose Hawking radiation includes $\sim 10^{21}$ positrons per second. The PBHs we consider are taken as near the lightest with longevity greater than the age of the universe (mass $\sim 10^{12}$ kg; Schwarzschild radius $\sim 1$ fm). These PBHs contribute only a small fraction of cold dark matter, $\Omega_{PBH} \sim 10^{-8}$. This speculative hypothesis, if confirmed implies the simultaneous discovery of Hawking radiation and an early universe phase transition.Comment: 4 Page

Constraints on Deflation from the Equation of State of Dark Energy

In cyclic cosmology based on phantom dark energy the requirement that our universe satisfy a CBE-condition ({\it Comes Back Empty}) imposes a lower bound on the number $N_{\rm cp}$ of causal patches which separate just prior to turnaround. This bound depends on the dark energy equation of state $w = p/\rho = -1 - \phi$ with $\phi > 0$. More accurate measurement of $\phi$ will constrain $N_{\rm cp}$. The critical density $\rho_c$ in the model has a lower bound $\rho_c \ge (10^9 {\rm GeV})^4$ or $\rho_c \ge (10^{18} {\rm GeV})^4$ when the smallest bound state has size $10^{-15}$m, or $10^{-35}$m, respectively.Comment: 23 pages, 3 figures, typos fixe

SLOCC determinant invariants of order 2^{n/2} for even n qubits

In this paper, we study SLOCC determinant invariants of order 2^{n/2} for any even n qubits which satisfy the SLOCC determinant equations. The determinant invariants can be constructed by a simple method and the set of all these determinant invariants is complete with respect to permutations of qubits. SLOCC entanglement classification can be achieved via the vanishing or not of the determinant invariants. We exemplify the method for several even number of qubits, with an emphasis on six qubits.Comment: J. Phys. A: Math. Theor. 45 (2012) 07530

Cultivar Test in South Dakota, 1989 Report: Alfalfa Yields

Fifteen to 20 new alfalfa cultivars are released annually through public and commercial breeding programs. To select a cultivar for your operation, you will need information on forage yield, winterhardiness, and disease resistance. The alfalfa cultivar yield test of the Plant Science Department at SDSU determines relative forage production characteristics for available cultivars and experimental lines at several locations in South Dakota

Cultivar Test in South Dakota, 1988 Report: Alfalfa Yields

About 15 new alfalfa cultivars are released each year. Many of these cultivars are on the market, and you need to know their forage yields under South Dakota conditions before you can select one for your operation. Such yield information is given here for available cultivars and experimental lines at several locations in the state

Cultivar Test in South Dakota, 1990 Report: Alfalfa Yields

New alfalfa cultivars come on the market every year. Selecting the right one for your situation takes a little study on your part. From the SDSU Alfalfa Cultivar Yield Tests you can compare the critical forage production characteristics--yield, winterhardiness, and disease resistance--for available cultivars and experimental lines at several locations in South Dakot

Cultivar Test in South Dakota, 1991 Report: Alfalfa Yields

Public and commercial breeding programs produce new alfalfa cultivars for the market every year. Selecting the proper cultivar for your situation is no easy task, and you should have yield information from several South Dakota locations to make a proper choice. From the SDSU Alfalfa Cultivar Yield Tests you can compare the critical forage production characteristics-yield, winterhardiness, and disease resistance-for available cultivars and experimental lines at several locations in South Dakota