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.

Stable length of a Quantum of matter

Self-elongation compels a free two-dimensional quantum of matter to reduce its tangible measurements to single spatial-dimension. As this process go on, more and more of its periphery approaches to become parallel to major axis of its elliptical body. If matter-content of the quantum of matter is sufficient, a stage may reach, when a part of quantum of matter’s periphery between two adjacent points and similar part of its periphery on geometrically opposite sides become parallel to each other and parallel to major axis of matter-content. At this stage adhesion between opposite sides of periphery being much greater, these points tend to approach each other at a faster rate. Such displacement may create identical inward dents at these points on the periphery. Consider a hypothetical case, where matter-content of a quantum of matter is extremely large. As soon as dents appear on their periphery, adhesions at these points (except at the middle of the dents) are no more towards each other, but in the direction of perpendiculars to periphery at the dents. Dents will widen and gradually separate matter-content on either side into two separate quanta of matter. This possibility reduces probability for quanta of matter with very large matter-contents, in nature. Presence of other quanta of matter in space interferes with unlimited self-elongation of any quantum of matter. If these quanta of matter (in the same spatial dimension as the self-elongating quantum of matter) can restrict the growth of self-elongating quantum of matter before dents are formed on its periphery, it can be preserved as a stable entity. This is usually the case. Higher external efforts than what are needed are usually available from the ends of a self-elongating quantum of matter. Should magnitudes of these efforts reduce, the quantum of matter is able to grow more in its single-dimensional space. Should magnitudes of these efforts increase, the quantum of matter grows into two-dimensional space. Since, the universe is in a steady state; all available matter is already divided or reduced into quanta of matter of stable size. Average matter-content of quanta of matter in the universe is suitable for the current state of universe. No further division of quanta of matter or their matter-contents are necessary. As there is no definite mechanism to restrict matter-contents of quanta of matter to exact quantity, quanta of matter may differ from each other in quantities of their matter-contents. All quanta of matter, other than few of those constitute three-dimensional matter-particles; have somewhat identical quantity of matter in them. They are in their single-dimensional status (on the verge of conversion into two-dimensional status) with identical lengths as their tangible measurements. Uniformity and regularity of shape of universal medium is the result of uniform matter-contents of constituent quanta of matter. Any quanta of matter with higher/lower than average matter-content create disturbances in universal medium that may lead towards creation of 3D matter-particles from universal medium. This tendency removes any quanta of matter with non-uniform matter-contents from universal medium and paves way to creation of 3D matter-particles.

Self-elongation of a Quantum of matter

Matter-content of a quantum of matter has an adhesive property. This property is different from ‘attraction between parts’, as we usually understand adhesion. Adjacent points within the matter-content tend to stick together. (A point may be understood as an area/volume of matter, whose area/volume is negligible). This tendency is not carried beyond nearest points in the matter-content. There is no adhesion directly between two points, interposed by another point. Therefore, magnitude of adhesion between any two points within the matter-content is always the same, irrespective of distance between them or matter-content present between these points. We shall consider a hypothetical (free-floating) critically stable two-dimensional quantum of matter. This particle exists only in two spatial dimensions. It is a perfectly circular sheet of matter in a plane. It has no tangible thickness. Every point on its periphery experience adhesion of equal magnitude towards the centre of its circular body. As long as directions of adhesion at every point on its circular perimeter are directed towards centre of the body, the quantum of matter remains in critically stable 2D spatial state. Even a slight change in the shape of quantum of matter’s circular body changes directions of adhesion available at various points on its periphery. There will be only two sets (diametrically opposite) of peripheral points, where adhesion is directed towards the centre point of the body. At all other peripheral points, adhesion will be directed along perpendicular to tangent at that point. Slightly misshaped circle is an ellipse. It has two coordinate axes. Components of adhesion at every point on the periphery of an elliptical-shaped 2D quantum of matter, directed towards major axis of the ellipse will be greater in magnitude than those directed towards minor axis of the ellipse. Perimeter of the elliptical 2D quantum of matter tends to approach towards its major axis. Such deformation of the quantum of matter increases differences in magnitudes of adhesion at peripheral points at an accelerating rate. As a result, the matter-content of the quantum of matter squeezes itself to constrict its body’s existence in second-spatial dimension. Constriction of its existence in second-spatial dimension compels the body of quanta of matter to grow in first-spatial dimension. This character appears as its self-elongation. Similar phenomenon reduces a three-dimensional quantum of matter into two-dimensional object. In free space, a quantum of matter reduces to single-dimensional object of infinite length. Since, there is no free space with respect to a single quantum of matter, infinite increase in its length is a hypothetical consideration.