On the nature of black hole entropy

I argue that black hole entropy counts only those states of a black hole that can influence the outside, and attempt (with only partial success) to defend this claim against various objections, all but one coming from string theory. Implications for the nature of the Bekenstein bound are discussed, and in particular the case for a holographic principle is challenged. Finally, a generalization of black hole thermodynamics to "partial event horizons" in general spacetimes without black holes is proposed.Comment: 13 pages, 2 figures; references added, almost same as version published in General Relativity And Relativistic Astrophysics: Eighth Canadian Conference, AIP Conference Proceedings 493, eds. C.P. Burgess and R.C. Myers (AIP, 1999

Educating Patients about Behavioral Interventions and Exercises for Musculoskeletal Lower Back Pain

Low back pain (LBP) is a common problem which affects all genders and most ages. It results in considerable direct and indirect costs, and these costs are financial, workforce and social. The majority of lower back pain occurs due to a musculoskeletal etiology and often presents to the primary care physician. We worked with local physicians, chiropractors, physical therapists, and athletic trainers to develop exercises and behavioral modifications that patients can do to improve lower back pain symptoms.https://scholarworks.uvm.edu/fmclerk/1273/thumbnail.jp

The Greatest Basketball Player of All Time: LeBron vs. Jordan

LeBron James is one of the greatest athletes of this generation. I am seeking to determine what he needs to do to surpass Michael Jordan as the greatest of all time. Considering individual statistics, team success, and personal achievements as well as factors such as political and racial activism and involvement, media coverage (including social media), and generational difference, I am hoping to show what is left to accomplish for LeBron to reach and surpass Jordan

Lorentz violation and Hawking radiation

Since the event horizon of a black hole is a surface of infinite redshift, it might be thought that Hawking radiation would be highly sensitive to Lorentz violation at high energies. In fact, the opposite is true for subluminal dispersion. For superluminal dispersion, however, the outgoing black hole modes emanate from the singularity in a state determined by unknown quantum gravity processes.Comment: 5 pages, Talk presented at CPT01; the Second Meeting on CPT and Lorentz Symmetry, Bloomington, Indiana, 15-18 Aug. 200

Trans-Planckian redshifts and the substance of the space-time river

Trans-Planckian redshifts in cosmology and outside black holes may provide windows on a hypothetical short distance cutoff on the fundamental degrees of freedom. In cosmology, such a cutoff seems to require a growing Hilbert space, but for black holes, Unruh's sonic analogy has given rise to both field theoretic and lattice models demonstrating how such a cutoff in a fixed Hilbert space might be compatible with a low energy effective quantum field theory of the Hawking effect. In the lattice case, the outgoing modes arise via a Bloch oscillation from ingoing modes. A short distance cutoff on degrees of freedom is incompatible with local Lorentz invariance, but may nevertheless be compatible with general covariance if the preferred frame is defined non-locally by the cosmological background. Pursuing these ideas in a different direction, condensed matter analogs may eventually allow for laboratory observations of the Hawking effect. This paper introduces and gives a fairly complete but brief review of the work that has been done in these areas, and tries to point the way to some future directions.Comment: 18 pages, to appear in Progress of Theoretical Physics Supplement, Proceedings of Yukawa International Seminar 1999; typos correcte