The Spinning Particles as a Nonlinear Realizations of the Superworldline Reparametrization Invariance

The superdiffeomorphisms invariant description of $N$ - extended spinning particle is constructed in the framework of nonlinear realizations approach. The action is universal for all values of $N$ and describes the time evolution of $D+2$ different group elements of the superdiffeomorphisms group of the $(1,N)$ superspace. The form of this action coincides with the one-dimensional version of the gravity action, analogous to Trautman's one.Comment: 4 pages, RevTe

The Resonance Peak in Sr2_2RuO4_4: Signature of Spin Triplet Pairing

We study the dynamical spin susceptibility, $\chi({\bf q}, \omega)$, in the normal and superconducting state of Sr$_2$RuO$_4$. In the normal state, we find a peak in the vicinity of ${\bf Q}_i\simeq (0.72\pi,0.72\pi)$ in agreement with recent inelastic neutron scattering (INS) experiments. We predict that for spin triplet pairing in the superconducting state a {\it resonance peak} appears in the out-of-plane component of $\chi$, but is absent in the in-plane component. In contrast, no resonance peak is expected for spin singlet pairing.Comment: 4 pages, 4 figures, final versio

Book Review: Conquest: Sexual Violence and American Indian Genocide by Andrea Smith, Cambridge, MA: South End Press, 2005, 250 pages, ISBN: 0896087433

A book review of Conquest: Sexual Violence and American Indian Genocide by Andrea Smith

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 Twenty-Fifth Amendment: Incapacity and Ability to Discharge the Powers and Duties of Office?

History provides many instances of U.S. presidential or vice presidential incapacity. It was the death of President John F. Kennedy that prompted the 25th Amendment to the Constitution to gain ratification in 1967, in part to establish a method to fill the vice presidency if it became vacant. On Saturday morning September 22, 2018, readers of The New York Times awoke to read a page-one story about how the Deputy Attorney General Rod J. Rosenstein had previously advocated the secret White House recording of President Trump “to expose the chaos consuming the administration, and he discussed recruiting cabinet members to invoke the 25th Amendment to remove Mr. Trump from office for being unfit.” Given this recent controversy, it seems timely and opportune to take a fresh look at the Twenty-Fifth Amendment, its history and purpose, how it works, and potential application

Democracy at Risk: Domestic Terrorism and Attack on the U.S. Capitol

The year 2022 begins with democracy hanging in the balance. On February 13, 2021, Donald John Trump becomes the only American president to be impeached and acquitted twice. His acquittal for the second time follows a violent mob, having been incited by the lame-duck president, into marching down Pennsylvania Avenue to break into and vandalize the Capitol Building. It is now known that at least 138 law enforcement officers suffered from or received burns, concussions, rib fractures, heart attack—and at least five deaths are attributed to this insurrection. More than 725 individuals are subsequently charged for their role in this violent crime. Here is an account of the events leading up to impeachment and the constitutional duties and responsibilities that follow. America is at a crossroads. Encouraged by foreign powers, the rise of domestic terrorism in the United States has now become a major threat to the fragile American experiment. Preservation of this precious republic will require a diligent and thoughtful daily commitment to preserving the sanctity and efficient functioning of each of the three independent branches of government

IMPEACHMENT, DONALD TRUMP AND THE ATTEMPTED EXTORTION OF UKRAINE

For only the third time in the nation’s history, the decade of the 2020s begins with impeachment of a U.S. president. The first three years of the Trump presidency is characterized by: incitement of rampant political and racial polarization; multiple lies to the public on a daily basis from the president and administration; unprecedented cabinet and high level administrative personnel turnover; multiple convictions and sentencing of high level election campaign and administrative officials for crimes sounding in bribery and corruption; an investigation by Robert Mueller into Russian involvement in the 2016 U.S. elections; continuous violations of the Constitutional emoluments clause . . . and the list continues. Donald Trump’s presidency proves so divisive that talk about his impeachment begins immediately as the Democratic Party reclaims control of the House of representatives following the 2018 mid-term elections. Just a day after the conclusion of the Mueller investigation into Russia’s 2016 election interference, President Trump calls the president of Ukraine and requests an investigation into his political rival Joseph Biden in exchange for release of nearly $400 million of congressional mandated military aid. As yet another Constitutional crisis during the Trump Presidency has come and gone, now is a good time to examine the history and role of impeachment, how it works, the Trump saga, and implications for the future

Governance of the Facebook Privacy Crisis

In November 2018, The New York Times ran a front-page story describing how Facebook concealed knowledge and disclosure of Russian-linked activity and exploitation resulting in Kremlin led disruption of the 2016 and 2018 U.S. elections, through the use of global hate campaigns and propaganda warfare. By mid-December 2018, it became clear that the Russian efforts leading up to the 2016 U.S. elections were much more extensive than previously thought. Two studies conducted for the United States Senate Select Committee on Intelligence (SSCI), by: (1) Oxford University’s Computational Propaganda Project and Graphika; and (2) New Knowledge, provide considerable new information and analysis about the Russian Internet Research Agency (IRA) influence operations targeting American citizens.By early 2019 it became apparent that a number of influential and successful high growth social media platforms had been used by nation states for propaganda purposes. Over two years earlier, Russia was called out by the U.S. intelligence community for their meddling with the 2016 American presidential elections. The extent to which prominent social media platforms have been used, either willingly or without their knowledge, by foreign powers continues to be investigated as this Article goes to press. Reporting by The New York Times suggests that it wasn’t until the Facebook board meeting held September 6, 2017 that board audit committee chairman, Erskin Bowles, became aware of Facebook’s internal awareness of the extent to which Russian operatives had utilized the Facebook and Instagram platforms for influence campaigns in the United States. As this Article goes to press, the degree to which the allure of advertising revenues blinded Facebook to their complicit role in offering the highest bidder access to Facebook users is not yet fully known. This Article can not be a complete chapter in the corporate governance challenge of managing, monitoring, and oversight of individual privacy issues and content integrity on prominent social media platforms. The full extent of Facebook’s experience is just now becoming known, with new revelations yet to come. All interested parties: Facebook users; shareholders; the board of directors at Facebook; government regulatory agencies such as the Federal Trade Commission (FTC) and Securities and Exchange Commission (SEC); and Congress must now figure out what has transpired and what to do about it. These and other revelations have resulted in a crisis for Facebook. American democracy has been and continues to be under attack. This article contributes to the literature by providing background and an account of what is known to date and posits recommendations for corrective action