Realization of Einstein’s Machian Program: the Pioneers and fly-by anomalies Part I

In a previous paper (Berman, in Astrophys. Space Sci., 2011), we showed how to prove the two Pioneers Anomalies, and now we add the fly-bys, by means of a rotating Universe. We discuss Einstein’s Machian program, which we find as being fullfilled. Godlowski et al. (Los Alamos Archives, 2003) idea for a rotating General Relativistic Universe, led us to the adopted model. Updated evidence on rotation is cited (Godlowski, in Los Alamos Archives, 2011; Ni in Phys. Rev. Lett. 107(5):051103, 2011). We conclude that a rotating and expanding Universe may be the unique solution to the apparent divergences between Einstein and Mach. This is cosmologically important.     

Transverse Aeolian Ridges (TARs) on Mars

Aeolian processes are probably the dominant ongoing surface process on Mars; Large Dark Dunes (LDDs), particularly common aeolian landforms, were first recognized in the early 1970s. Recent, higher resolution images have revealed another, morphologically distinct, large population of smaller, ripple-like aeolian bedforms that have been termed “Transverse Aeolian Ridges” (TARs) as it is unknown whether they formed as large ripples or small dunes. We have begun a new study of TARs that examines their distribution, orientation, and morphology using > 10,000 high-resolution Mars Orbiter Camera (1.5 to 8 m/pixel resolution) images in a 45° longitude wide, pole-to-pole survey. The aim of this study is to assess whether TARs are active, to identify possible sediment sources and pathways, and to determine the volumes of sediment that they comprise. We present results from the first half of this study, in which we examine the northern hemisphere, and describe a new three-part classification scheme used to aid the survey.Our results show that TARs are abundant but not ubiquitous: preferentially forming proximal to friable, layered terrains such as those found in Terra Meridiani — the location of the ongoing Mars Exploration Rover “Opportunity” mission. TAR distribution in the northern hemisphere shows a strong latitudinal dependence with very few TARs being found north of  30° N. We also find that in most cases TARs are less mobile than LDDs, a conclusion possibly explained by Mars Exploration Rover Opportunity observations that show TAR-like ripples to have a core of fine material armored by a monolayer of granule-sized particles. This could disallow significant bedform movement under the current wind regime. That TARs are essentially inactive is confirmed by superposition relations with slope streaks and LDDs and by observations of superposed impact craters. We suggest that observations made by the Opportunity Rover in Terra Meridiani indicate that the small aeolian bedforms common here are ripples and not small dunes. Farther south, these bedforms transition into larger features indistinguishable from TARs, suggesting that TARs (in the Meridiani area at least) are ripples and not dunes.     

On the Machian origin of inertia

We examine Sciama’s inertia theory: we generalise it, by combining rotation and expansion in one unique model, we find the angular speed of the Universe, and we stress that the theory is zero-total-energy valued. We compare with other theories of the same null energy background. We determine the numerical value of a constant which appears in the Machian inertial force expression devised by Graneau and Graneau (In the Grip of the Distant Universe—the Science of Inertia, World Scientific, Singapore, 2006), by introducing the above angular speed. We point out that this last theory is not restricted to Newtonian physics as those authors stated but is, in fact, compatible with other cosmological and gravitational theories. An argument by Berry (Principles of Cosmology and Gravitation, Adam Hilger, Bristol, 1989) is shown in order to “derive” Brans-Dicke relation in the present context.     

Garibaldi group volcanic rocks of the salal creek area, southwestern British Columbia: Alkaline lavas on the fringe of the predominantly calc-alkaline garibaldi (cascade) volcanic arc

The Salal Creek area, at the north end of the main group of vents for the Quaternary Garibaldi (Cascade) Volcanic Belt, southwestern British Columbia, was the site of several small eruptions of mafic lava during the past 1 Ma. In contrast to the calc-alkaline character of all other parts of the Garibaldi Belt and the geographically nearly coincident Miocene and older Pemberton Volcanic Belt, the Salal Creek area Quaternary lavas are predominantly alkaline basalt and hawaiite with typical alkaline volcanic petrography, chemistry, and fractionation trends. Trace elements Ti-Zr-Y show within-plate character for the suite. As for other Garibaldi Belt volcanic rocks, Rb is low, Rb/Sr very low, and ⁸⁷Sr/⁸⁶Sr ratio is low, averaging 0.7032. The oxygen isotopic composition average, ¹⁸O = 5.9, is normal for mantle-derived volcanic rocks.This distinct change in magma type at the end of a volcanic are may be the consequence of a smaller degree of melting, melting at a slightly greater depth than calc-alkaline magma production, or a descending-plate edge effect.Ponded flows and pillow-palagonite accumulations indicate that several Salal Creek area eruptions occurred in proximity to ice which filled major valleys during pre-Wisconsin glacial periods.     

Mössbauer spectroscopy of minerals

We compare two different approaches to fitting the Fe-57 Mössbauer spectra of paramagnetic state minerals: the widespread practice of using Lorentzian line doublets with adjustable Γ widths and a new method (Rancourt and Ping, 1991) based on quadrupole splitting distributions (QSDs). We argue that there is no physical justification for the former and that the latter is a theoretically correct approach. With the same number of free parameters, the QSD method performs better. The Lorentzian doublet method 1) significantly overestimates the background, 2) puts overly large wings or tails on the main absorption peaks, and 3) gives unphysically large values of Γ. Whereas Lorentzian doublets are often arbitrarily (and incorrectly) assigned to model sites in the average unit cell, QSDs represent the most information that can be distilled from the spectra and are caused by the various local and long-range structural and chemical environments acting concomitantly.     

Preparation of the sea water reference material for trace metals,NASS-1

The preparation of a sea water reference material, NASS-1, is described. The sea water is an open ocean sample, salinity 35.07‰, gathered at the 1300 metre level in the North Atlantic, south-east of Bermuda. It is acidified to pH 1.6 with nitric acid and bottled in 2 1 polyethylene bottles. Reliable values are available for 11 trace metals (As, Cd, Cr, Co, Cu, Fe, Pb, Mn, Mo, Ni and Zn). The results of a long-term sea water storage experiment are also described.     

MILLICENT TODD BINGHAM: HUMAN GEOGRAPHER AND LITERARY SCHOLAR

Millicent Todd Bingham was the first and only woman to earn a Ph.D. in the Department of Geology and Geography at Harvard. A talented linguist, she published in the classic tradition of the French school of human geography. Her professional geographic career came to a halt when she elected to edit the poems and letters of Emily Dickinson, work originally begun by her mother, Mabel Loomis Todd. Bingham's efforts resulted in the publication of several books and articles fundamental to the Dickinson scholarship. She credits her geographic training for much of her literary success.     

General relativistic singularity-free cosmological model

We “explain”, using a Classical approach, how the Universe was created out of “nothing”, i.e., with no input of initial energy nor mass. The inflationary phase, with exponential expansion, is accounted for, automatically, by our equation of state for the very early Universe. This is a Universe with no-initial infinite singularity of energy density.     

Shear and vorticity in a combined Einstein-Cartan-Brans-Dicke inflationary lambda-Universe

A combined BCDE (Brans-Dicke and Einstein-Cartan) theory with lambda-term is developed through Raychaudhuri’s equation, for inflationary scenario. It involves a variable cosmological constant, which decreases with time, jointly with energy density, cosmic pressure, shear, vorticity, and Hubble’s parameter, while the scale factor, total spin and scalar field increase exponentially. The post-inflationary fluid resembles a perfect one, though total spin grows, but the angular speed does not (Astrophys. Space Sci. 312: 275, 2007d).