90 research outputs found
Experimental Concepts for Generating Negative Energy in the Laboratory
Abstract. Implementation of faster-than-light (FTL) interstellar travel via traversable wormholes, warp drives, or other spacetime modification schemes generally requires the engineering of spacetime into very specialized local geometries. The analysis of these via Einstein's General Theory of Relativity (GTR) field equations plus the resultant equations of state demonstrate that such geometries require the use of "exotic" matter in order to induce the requisite FTL spacetime modification. Exotic matter is generally defined by GTR physics to be matter that possesses (renormalized) negative energy density, and this is a very misunderstood and misapplied term by the non-GTR community. We clear up this misconception by defining what negative energy is, where it can be found in nature, and we also review the experimental concepts that have been proposed to generate negative energy in the laboratory
Estimates for a class of oscillatory integrals and decay rates for wave-type equations
This paper investigates higher order wave-type equations of the form
, where the symbol is a real,
non-degenerate elliptic polynomial of the order on . Using
methods from harmonic analysis, we first establish global pointwise time-space
estimates for a class of oscillatory integrals that appear as the fundamental
solutions to the Cauchy problem of such wave equations. These estimates are
then used to establish (pointwise-in-time) estimates on the wave
solution in terms of the initial conditions
Classical interpretation of the Debye law for the specific heat of solids
We derive the Debye law for the specific heat of solids within the realm of stochastic electrodynamics (i.e., classical electrodynamics with the assumption of a real zero-point field). Random lattice vibrations are generated by the Planck radiation including zero point, which is absorbed by the ions. The equilibrium is accomplished by a fluctuation-dissipation mechanism due to the emission of radiation by the ions in accelerated motion
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