arXiv subjects

David A. de Wolf

Publications and source records attributed to David A. de Wolf.

3 recordsLinked to original sources

arXiv2019

Treatment of an accelerating observer via the special theory of relativity

The clock time t' of an accelerating observer, simultaneous with the measured clock time t of an inertial observer,is easily established in special relativity (as proper time) by the well-known time-dilation formula for t'(t). In this work, a special-relativity formula t(t') for an initial observer's clock time t, simultaneous with a traveler's measured clock time t', is derived and applied successfully to various relevant situations. The equation for t(t') requires knowledge only of the velocity profile v(t') of the traveler.

gr-qc↗

arXiv2016

Aging and communication in the twin paradox

The twin paradox of the special theory of relativity has given rise to a large body of literature discussing its implications. In its standard form, the traveler changes velocity only at the destination of the trip, so that he appears to perceive an improbably instantaneous and non-continuous change in age of the stationary twin. In this work, a smooth velocity/acceleration profile is used that allows the abrupt velocity-change case as a limit. All gravitational effects are ignored in this treatment. Aside from mutual perception of simultaneous clock times in an accelerating frame, constant communication of clock times between the twins by means of (digital) light signals is shown to be possible, in principle if not in practice.

physics.gen-ph↗

arXiv2010

Intro To Logarithms After The Meltdown

This work is an attempt to 'reconstruct' logarithms in the hypothetical case that mankind has suffered a catastrophe through which all repositories of (mathematical as well as other) knowledge are lost, with the exception of simple arithmetic operations. It turns out that this is possible without re-inventing calculus!

math.HO↗