lobal Journal of Science Frontier Research, A: Physics and Space Science, Volume 24 Issue 4

and during the time interval t ∆ the magnitude of + t v E = 1 E c +       and t v H = 1 + H c + +       has not changed. The radiation pressure at time t + t ∆ caused by the confined electromagnetic radiation, on mirror B equals: ( ) ( ) ( ) 2 2 2 v + v v 1+ 1- E × H c c S + S P = = c c B B B γ + + + −   ∆       +             (51) Because the wave with Poynting vector = E H S − − − × has left Mirror A at “t” and during the time interval t ∆ the magnitude of t v E = 1 + E c − −       and - - t v H = 1 + H c       has not changed. The radiation pressures on Mirror A and Mirror B do not counterbalance each other anymore and the resulting radiation pressure equals: ( ) 2 B A 2 4 v S P - P = c γ ∆ (52) Equation (52) can be written as: ( ) 2 2 2 2 B A 2 2 2 v 4 S t 4 v S W t P - P = = = a = m a c c c γ γ γ γ ∆   ∆   ∆ ∆         (53) In which the acceleration v a = t ∆ ∆ and the inertia 2 Wm = c . At non-relativistic velocities =1 γ and (53) validates Newton’s second law of motion for confined electromagnetic radiation presented in equation (23). According Einstein’s 2 W=m c the confined electromagnetic energy “W” equals the total confined electromagnetic mass. By superposition and integration over arbitrary surfaces it is possible to prove that all confined electromagnetic radiation equals (53) which represents that confined electromagnetic energy validates Newton’s second law of motion (F = m a). b) Heisenberg’s Uncertainty Relationship For confined electromagnetic radiation represented in (23) the mass has been represented in (53). According Planck’s law the energy “W” is proportional to the frequency of the confined electromagnetic radiation: 2 W = f W = m c = f   (54) Both sides in equation (54) are multiplied by the velocity of the confined electromagnetic radiation. ( ) 2 2 m v c = f v f v p = c   (55) Resulting in an expression for the momentum “p” of the confined radiation. According Planck a variation in the momentum “p” will result in the variation of the frequency “f” of the confined electromagnetic radiation. ( ) 2 f p = v c ∆ ∆  (56) Because of the relationship between the frequency “f” and the wavelength “ λ ” (56) can be written as: 2 f p = v c p = v c λ ∆   ∆       ∆   ∆    (57) Presenting confined electromagnetic radiation, equation (57) can be written in a way comparable with Heisenberg’s uncertainty relationship: ( ) v p = c λ   ∆ ∆      (58) For uniform moving electromagnetic confinements the velocity “v” remains constant and the product of the uncertainty in the wavelength (dimension of the confinement) and the uncertainty in the momentum (frequency) of the confinement represents a constant value. It follows from equation (58) there is no fundamental uncertainty. Heisenberg’s “Uncertainty Relationship” represents the constant relationship between the wavelength (dimension) and the frequency (momentum) for gravitationally confined light and in general gravitationally confined electromagnetic waves. VII. C onclusions The integration of General Relativity with the new proposed theory provides a fascinating perspective on the interaction between gravity and light within a 4- dimensional spacetime curvature defined by a gravitational field. In this framework, light's trajectory is dictated by the curved spacetime geometry, illustrating the profound relationship between gravity and electromagnetic phenomena. Global Journal of Science Frontier Research ( A ) XXIV Issue IV Version I Year 2024 66 © 2024 Global Journals A Reinterpretation of Quantum Physics +