K. H. Mariwalla | Searcharxiv

arXiv2002

Gravity sans singularities

Basis and limitations of singularity theorems for Gravity are examined. As singularity is a critical situation in course of time, study of time paths, in full generality of Equivalence principle, provides two mechanisms to prevent singularity. Resolution of singular Time translation generators into space of its orbits, and essential higher dimensions for Relativistic particle interactions has facets to resolve any real singularity problem. Conceptually, these varied viewpoints have a common denominator: arbitrariness in the definition of `energy' intrinsic to the space of operation in each case, so as to render absence of singularity a tautology for self-consistency of the systems.

gr-qc↗

arXiv2002

A Hundred Years of Larmor Formula

Sir Joseph LARMOR showed in 1897 that an oscillating electric charge emits radiation energy proportional to (acceleration)$^2$. At first sight,the result appears to be valid for arbitrary accelerations. But, perpetual uniform acceleration has been a case of nagging doubts, as radiation reaction vanishes and the equivalence principle, as also conformal symmetry of Maxwell equations each require nil energy loss. Special hypotheses are devised by some to justify the assumption of radiation loss for both perpetual and non-perpetual (uniform) accelerations which, as in the case of (uniform) velocities, are really different. The problem is here simply resolved by an explicit computation to show absence of radiation for the perpetual case and by illustrating that Larmor formula makes sense {\it only if} there is {\it change} in acceleration, just as kinetic energy has nontrivial quantitative sense, only when there is change in velocity.

physics.ed-ph↗