
Journal of Theoretics Vol.42
Gravitation and Inertia as a Consequence of
Quantum Vacuum Energy
Dr. Carlos Calvet hyperspace@telefonica.net
Francisco Corbera no. 15, E08360 Canet de Mar (Barcelona), Spain
Abstract: By assigning the elementary Planck units to the units of Newton’s
Gravitational Constant (G), it resulted in G being a function of vacuum (zero
point) energy (ZPE). ZPE appears to reduce gravity, as it is inversely
proportional to gravitational force. Further, the value of ZPE densitymatter
equivalent has resulted to be equivalent to the Planck mass in a Planck volume,
rendering a much easier way of calculation.
Keywords: Gravity, Gravitational constant, zero point energy, inertia,
electrogravity, quantum vacuum.
Introduction
It was Isaac Newton, who 1687 found first the laws of motion and gravitation. He observed
that two masses attract mutually, with a force that is directly proportional to the product of the
masses and inversely proportional to the square of the distance. The resul ting attractive force was in
addition always a multiple of this proportionality, being the corresponding constant G (Gra vitational
Constant), which has an almost constant value of 6.673x10^{11} m^{3}kg^{1}s^{2}. It has been up to date
generally accepted that this “natural” constant is of unknown orig in.
More than 2 centuries later, Max Planck discovered in 1900 that light qu anta could explain
black body radiation, and thus developed his black body law and his constant. Planck’s constant (h)
has the value 6,626x10^{34} J·s, and represents the smallest energy amount that can exist,
demonstrating the real existence of light quanta and overall quantification .
Planck’s constant was the starting point for the calculation of some natural units for length,
time and mass. Planck showed, simply based on a comparison of units, that by means of G, the
speed of light (c) and his constant (h), it is possible to calculate an elementary length, time, and
mass, which is now known as Planck’s mass, length, and time (m_{P}, l_{P}, t_{P}). The currently accepted
values for these Planck units are respectively 2.177x10^{8} kg, 1.616x10^{35} m, and 5.391x10^{44} s, with
the latter being in respect to General Relativity, ‘the smallest length and time, spacetime can
sustain’. Intriguing for our purposes was that Planck’s units are a function of G (i.e., m_{P} = (h/(2ƒÎ)
c/G)^{1/2}, l_{P} = (h/(2ƒÎ) G/c^{3})^{1/2}, t_{P} = (h/(2ƒÎ) G/c^{5})^{1/2 }). This obviously suggested already a century ago,
that G is a quantum function.
In 1926, Werner Heisenberg developed the Uncertainty Principle (UP), which was th e
starting point of a new interpretation of absolute vacuum. According to the UP, a vacuum cannot be
completely empty, i.e., it ought to display some background activity in order to allow its own
existence. One year later, Paul Dirac described the quantification of electromagnetic fields, creation
and annihilation of pairs, virtual particles, and ZPE, suggesting for th e first time that an active
“quantum vacuum” (QV) really exists.
On the other hand, H.G.B. Casimir [1], from Dutch Philips Laboratories, discovered in 1948
an attractive force between two very close ‘perfectly conducting plat es’, which was opposite to the
repulsive electric effect of the plates. The force was confirmed and measured precisely by
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