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OTHER THEORIES OF THE NATURE OF THE INERTIA OF MATTER

Arbab I. Arbab

Inertial quantum equation of a moving particle is derived from our unified quantum equation. The self-inertial quantum force on a particle of mass m moving with constant velocity ⃗v is found to be ⃗Fm = − m2 c2 ħ ⃗v. This force is found to manifest the perpetual process of creation/annihilation that a moving particle undergoing. The origin of inertial quantum force is found to have a quantum aspect. When a charged (q) particle moves in a magnetic field with constant velocity, the critical magnetic field that makes the charge and mass move concurrently is Bcr = m2 c2 q ħ.  In gravity, the angular momentum of the particle moving with constant velocity at a distance r from another particle is given by L = Gm ħ c2 r.  A spinning particle in gravity whose radius is equal to Schwarzschild radius has a spin equal to S = ħ/2, and that with radius equals to the classical electron radius will have spin S = ħ.  As in Unruh effect, where an accelerating observer sees thermal radiation with temperature T = ħ a 2πck B.

M.E. McCulloch

INERTIA FROM AN ASYMMETRIC CASIMIR EFFECT, 2013 (pdf)

The property of inertia has never been fully explained. A model for inertia (MiHsC or quantised inertia) has been suggested that assumes that:

1) inertia is due to Unruh radiation and

2) this radiation is subject to a Hubble-scale Casimir effect.

This model has no adjustable parameters and predicts the cosmic acceleration, and galaxy rotation without dark matter, suggesting that Unruh radiation indeed causes inertia, but the exact mechanism by which it does this has not been specified. The mechanism suggested here is that when an object accelerates, for example to the right, a dynamical (Rindler) event horizon forms to its left, reducing the Unruh radiation on that side by a Rindler-scale Casimir effect whereas the radiation on the other side is only slightly reduced by a Hubble-scale Casimir effect. This produces an imbalance in the radiation pressure on the object, and a net force that always opposes acceleration, like inertia.

A formula for inertia is derived, and an experimental test is suggested.