Premesse alla cosmologia razionale
With reference to Nota I, the hypothesis that the cluster is spherical is substituted by the hypothesis that it has an isotropic behaviour with respect to a given frame of reference with origin in an element internal to . The kinematical behaviour of during the collapse with respect to the frames of reference with origin in the elements of and in translatory motion with respect to is studied. This behaviour is the same with respect to each of such frames, which are in translatory motion...
With reference to Nota I, the hypothesis that the cluster is spherical is substituted by the hypothesis that it has an isotropic behaviour with respect to a given frame of reference with origin in an element internal to . The kinematical behaviour of during the collapse with respect to the frames of reference with origin in the elements of and in translatory motion with respect to is studied. This behaviour is the same with respect to each of such frames, which are in translatory motion...
Starting from the considerations developed in [4], it is shown that the only forces at a distance exerted among the elements of an isolated spherical cluster of incoherent matter which, preserving homogeneity, is collapsing are those expressed by Newton's law of gravitation and those of the elastic type. Furthermore the reverse is shown, that is if the forces at a distance are of these two types during the collapse the homogeneity is preserved.
Without making recourse to Newton's law of gravitation and starting from the concept of gravitational force, the concepts of active gravitational mass and of passive gravitational mass are introduced. Furthermore it is proved that they can be identified and that in Newton's law of gravitation the linear dependence on masses necessarily follows from the principle of superposition of simultaneous forces and from Newton's third law of dynamics.
Starting from the considerations developed in [4], it is shown that the only forces at a distance exerted among the elements of an isolated spherical cluster of incoherent matter which, preserving homogeneity, is collapsing are those expressed by Newton's law of gravitation and those of the elastic type. Furthermore the reverse is shown, that is if the forces at a distance are of these two types during the collapse the homogeneity is preserved.
Without making recourse to Newton's law of gravitation and starting from the concept of gravitational force, the concepts of active gravitational mass and of passive gravitational mass are introduced. Furthermore it is proved that they can be identified and that in Newton's law of gravitation the linear dependence on masses necessarily follows from the principle of superposition of simultaneous forces and from Newton's third law of dynamics.
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