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What we have thus found to be the true nature of the event perceived as a body's growth in volume under the influence of heat has a definite effect on our conception of spatially extended matter as such. For a physical body is always in some thermal state which may be regarded as higher than another, and it may therefore be regarded as being at all times thermally expanded to some extent.
From the equations of the general theory of relativity it can be deduced that this total reduction of inertia to reciprocal action between masses as required by E. Mach, for example is possible only if the universe is spatially finite. On many physicists and astronomers this argument makes no impression. Experience alone can finally decide which of the two possibilities is realised in nature.
His own sudden action and exhibition of energy had served to disperse it temporarily, yet he felt convinced the indications were not lacking even while he sat there making notes that it still remained near to him, conditionally if not spatially, and was, as it were, gathering force for a second attack.
The Outtime Trading Corporation has transposition facilities at Ravvanan, on the Nile, which is spatially co-existent with the city of Ghamma on the Akor-Neb Sector, where Zortan Brend is. You transpose through there, and Zortan Brend will furnish you transportation to Darsh.
This can be so only if the average spatial density of the matter in universal space, concentrated in the stars, vanishes, i.e. if the ratio of the total mass of the stars to the magnitude of the space through which they are scattered approximates indefinitely to the value zero when the spaces taken into consideration are constantly greater and greater. The universe is spatially finite.
In the preceding chapter we drew attention to the fact that any spatially extended mass is under the sway of both gravity and levity.
It emanates from the essence of the Creator, forming the basis of all subsequent emanations. Hence the spiritual substances of the celestial world, or, to use a more technical and more precise term since spirit is not located in heaven or anywhere spatially the intelligible world, have matter underlying their form. In fact, matter itself is intelligible or spiritual, not corporeal.
Our senses represent the coexistent families of monads in the gross, and therefore conventionally; what is in fact the mutual representation of monads in ordered systems, is represented as the mechanical interaction of spatially extended and material parts. This does not mean that science is overthrown.
This comparison of the activity of the sound-ether, as the form-creating element in nature, with Chladni's phenomenon is drawn correctly only if we recognize that the conception of form, as an expression of that which is called forth through the etheric forces in nature, comprises more than the external spatially bounded shape of an organic or inorganic entity.
But if the universe is spatially finite there is a second deviation from the Newtonian theory, which, in the language of the Newtonian theory, may be expressed thus: The gravitational field is in its nature such as if it were produced, not only by the ponderable masses, but also by a mass-density of negative sign, distributed uniformly throughout space.
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