Sunday, May 29, 2011
Co-existence of quanta of matter at a point
A quantum of matter has certain matter-content. Matter is continuous and incompressible. Since matter is the substance, a quantum of matter has objective (real) existence in space. A quantum of matter can express its individuality only in spatial dimension(s) of its existence. No two real entities can exist in the same volumetric space. Therefore, no two quanta of matter can exist in the same space in the same spatial dimension(s). However, quanta of matter in different spatial dimensions but passing through the same point, in space, coexist at the point.
Practically, a quantum of matter (in any dimensional status), exists in all three spatial dimensions. When its measurement in any one spatial dimension is too small to be intelligibly measured by 3D beings, we must say that the quantum of matter exists only in two spatial dimensions. The quantum of matter may be qualified as a two-dimensional object. Similarly, when its measurements in any two spatial dimensions are too small to be intelligibly measured by 3D beings, we must say that the quantum of matter exists only in one spatial dimension. The quantum of matter may be qualified as a single-dimensional object.
A quantum of matter in its free state, tends to grow and exists only in one spatial dimension. External pressure from ends of a 1D quantum of matter can reduce its measurements in first-spatial-dimension and make its matter-body to grow into second-spatial-dimension, until it becomes a perfect circle in a plane. Further, if identical external pressure is applied all around the periphery of a 2D quantum of matter (in its second-spatial-dimensional state), its matter-body is compelled to grow into third-spatial-dimension, while reducing measurements in other two spatial dimensions. Growth into third-spatial-dimension will continue until shape of quantum of matter becomes a perfect sphere. As soon as a quantum grows in to its third-spatial-dimension, it becomes a 3D matter-body. This is the stage of creation of 3D matter, in nature. We, as 3D beings, can associate only with 3D matter. Additional pressure (if available) applied all around volumetric periphery of a 3D quantum of matter may reduce its volume and compel the quantum of matter to grow into a fourth-spatial-dimension, about which we know nothing.
Since, a quantum of matter has objective existence in its spatial dimension; no other quantum of matter can occupy its space, in whichever spatial-dimensional status it may be. However, two quanta of matter in different spatial dimensions have objective reality in different spatial-dimensions. Hence, each of them should be able to have objective reality at the point occupied by both of them. That is, quanta of matter, in different spatial dimensions should be able to co-exist.
As long as its own dimensional space is not occupied, a quantum of matter is able to co-exist with other quanta at a point in space. Two 1D quanta of matter occupying the same point in space, essentially, have to be at an angle to each other. Their negligible widths (as and when they are developed) have to be in different planes. Since they are 1D objects, they cannot extend into each other’s spatial-dimension so as to create discontinuity for other’s existence. Since two quanta of matter are in different planes and crossing each other at a point in space (they are in different spatial dimensions), they do not intrude into each other’s spatial-dimensions. Similarly, a quantum of matter can also co-exist with a 2D matter-body (its thickness is zero) in different planes. However, as all spatial-dimensions are occupied by a 3D matter-body, a quantum of matter will be unable to coexist with a 3D quantum of matter. It will have to remain outside the 3D matter.
A 1D quantum of matter exists only in its own one spatial dimension. Hence, a 1D quantum of matter is able to coexist with another 1D quantum of matter in all spatial dimensions other than its own. A 2D quantum of matter exists in a plane. Another 1D or 2D quantum of matter is able to coexist with it, in all spatial planes other than the plane of the 2D quantum of matter. If located in the plane of the 2D quantum of matter, the 1D quantum of matter will maintain its individuality and independence as a separate entity, even if it is a component of a 2D body, constituted by one or more 2D quanta of matter. A 3D body exists in all spatial planes passing through the body. A 1D quantum of matter is unable to coexist with the 3D matter-body or any of its constituent quanta of matter, in any of these planes. Even if the 1D quantum of matter is a constituent part of a 3D matter-body, it will keep its independence and integrity as a separate entity, within the 3D matter-body.
Quanta of matter preserve their individuality under all circumstances. However, in exceptional circumstances of accidents, nothing prevents a quantum of matter from parting into two separate entities. If the attempt, to part a quantum of matter into two, may develop and persist for longer time, the quantum of matter may part into two individual quanta of matter.
Another possibility is that of a quantum of matter with exceptionally large matter-content. Time required for an exceptionally large quantum of matter to move its whole matter-content to one side of a parting intrusion is too long, its matter-body will split into two separate quanta of matter.
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