APS April Meeting 2021
Volume 66, Number 5
Saturday–Tuesday, April 17–20, 2021;
Virtual; Time Zone: Central Daylight Time, USA
Session KP01: Poster Session I (14:00 - 16:00 CT)
2:00 PM,
Sunday, April 18, 2021
Abstract: KP01.00097 : Huygens Analogy Between Propagation of Light Waves in Ether and Sound Waves in Air
Preview Abstract
Abstract
Author:
Siavash Sohrab
(Northwestern University)
According to a scale-invariant model of Boltzmann statistical
mechanics$^{\mathrm{1}}$ speed of light is identified as root-mean-square
speed of photons in physical space identified as a compressible tachyon
fluid, Planck compressible ether, that is de Broglie hidden thermostat or
Casimir vacuum. In accordance with perceptions of Huygens$^{\mathrm{2}}$,
propagation of light waves in ether is found to be analogous to that of
sound waves in air with the ratio of \textit{longitudinal} to \textit{transverse} velocities given as $c_{l} /c_{t}
=\sqrt 3 $. Photons are considered to have \textit{helical trajectories} due to their periodic (axial,
angular, radial) motions along cylindrical ``\textit{strings}'' with three \textit{simultaneously independent} coordinates
$(z,\theta ,r)$and by Boltzmann equipartition principle, have
Wien$^{\mathrm{1}}$ velocities $(v_{wz} =c/\sqrt {3\mbox{\thinspace }}
,\thinspace v_{w\theta } =c/\sqrt {3\mbox{\thinspace }} ,\thinspace v_{wr}
=c/\sqrt {3\mbox{\thinspace }} )$ leading to photon atomic internal energy
$\hat{{u}}=m_{o} c^{2}=3kT$ and atomic enthalpy
$\hat{{h}}=\hat{{u}}+p\hat{{v}}=mc^{2}=4kT$ hence Hasen\"{o}hrl $\gamma
=4/3$ factor in $^{\mathrm{\thinspace }}m=(4/3)m_{o} $ (S. H. Sohrab, \textit{APS Bulletin, April}2017).
With atomic potential energy $p\hat{{v}}=\hat{{u}}/3$ and ideal gas law
$p=\rho RT$, speed of light waves $c=\sqrt {3kT/m_{o} } =\sqrt
{3k{T}'/2m_{o} } $ in photon gas or Casimir vacuum is in close agreement
with Laplace formula $c=\sqrt {\gamma R{T}'} $ for speed of sound waves in
ideal gas$^{\mathrm{3}}$.
$^{\mathrm{1}}$ Sohrab, S. H.,\textit{ ASME J. Energy Resources Technology} \textbf{138}: 1-12 (2016).
$^{\mathrm{2}}$ Huygens, C., \textit{Treatise on Light}, p.14, Dover, 1912.
$^{\mathrm{3}}$ Krout, K. A., and Sohrab, S. H., \textit{Int. J. Therm}odynamics \quad \textbf{19}: 29-34
(2016).