On the nature of dark energy and dark matter.pdf
Apart from discussing the ideas in the paper, if anybody is interested in exploring the mathematization of the propositions please feel free to communicate.
Abstract:
The Mach's principle seeks to harmonize the description of the inertial mass
of objects with that of the equivalent gravitational mass of objects, by arguing that
since any accelerating gravitational mass is describable by referencing it to all the
masses in the universe, any accelerated inertial mass arisen object should also be
describable by referencing it to all the masses in the universe. However, while
acceleration of gravitational masses occurs due to the interacting universal
gravitational force, the acceleration of inertial mass arisen objects has to be induced
by a local force. To overcome this remaining descriptive difference, a universal force
that interacts between the inertial mass of all objects is here formulated. It emerges
that this force needs to act antigravitationally to exist. It is proposed this
antigravitational force, when cast as energy, is the dark energy in the universe.
Since it is not intrinsically necessary for inertial mass to be universalized by
the proposed universal antigravitational force for inertial mass to exist, however, there
may also be objects which are not subject to the universal antigravitational force, i.e.,
objects whose inertial mass is localized, and are therefore not referencable universally.
It is proposed such localized inertial mass objects are the dark matter in the universe.