TITLE:
Equivalence of String Classical and Quantum Energy beside Equivalence of Wave Packet and Relativistic Velocity in Eucleadian and Curved Space
AUTHORS:
Mashair Ahmed Mohammed Yousif, Abeer Mohammed Khairy Ahmed, Zainab Mustapha Kurawa, Omer A. M. Elnor, Mubarak Dirar Abd-Alla Yagoub, Ibrahim Mohammed Elfaki El-Tahir, Mohammed Idriss Ahmed, Zoalnoon Ahmed Abeid Allah Saad
KEYWORDS:
Plank Energy, Classical Energy, String Quanta, Photons, Electromagnetic Waves, Curved Space, Group Velocity, Wave Packet
JOURNAL NAME:
Natural Science,
Vol.12 No.7,
July
23,
2020
ABSTRACT: Plank
quantum and classical string energy relations seem to be uncorrelated. This
work correlated them. The relativistic energy-momentum relation has been used
together with plank and de Brogglie hypothesis to prove that the wave group
velocity is equal to the particle velocity in both ordinary and curved space.
The plank energy relation is shown also to be related to the classical energy
relation of an oscillating string. Starting from plank energy relation for n
photons and performing integration, the expression of classical string energy
was obtained. This means that one can treat electromagnetic waves as a
collection of continuous photons having frequencies ranging from zero to w.
Conversely, starting from classical string energy relation by differentiating
it with respect to angular frequency, the plank quantum energy for n photons
has been found. This means that the quanta results from separation of
electromagnetic waves to single isolatedwaves. Each wave consists of n
photons or quanta.