The third Etheric Subplane E3— The E3 state, in some of its combinations, appears at first sight to repeat those of the E2 state; the only obvious way of distinguishing to which some of the groups of less complexity belong is to pull them out of the " cell-wall ": if they arc E2 groups they at oncc fly off as separate Anu; if they are E3 groups they break up into two or more groups containing a smaller number of Anu. Thus one of the E2 groups of iron, containing seven Anu, is identical in appearancc with an E3 heptad, but the former dissociates into seven Anu. the latter into two triads and a single Anu. Long-continucd research into the detailed play of forces and their results is necessary; wc are here only able to give preliminary facts and details, are opening up the way.
The fourth etheric subplane E4.—The E4 state preserves many of the forms in the elements, modified by release from the pressure to which they are subjected in the chemical atom. In this state various groups are thus recognizable which are characteristic of allied elements.
These groups are taken from the products of the first disintegration of the chemical atom, by forcibly removing it from its hole. The groups fly apart, assuming a great variety of forms often more or less geometrical; the lines between the constituents of the groups, where indicated, no longer represent lines of force, but are intended to represent the impression of form, i.e., of the relative position and motion of the constituents, made on the mind of the observer. They are elusive, for there are no lines. The appearance of lines is caused by the rapid motion of the constituents up and down, or along them backwards and forwards. The dots represent Anu, within the elements. Fig. 9.
Two Anu, positive and negative, brought near to each other, attract each other, and then commence to revolve round each other, forming a relatively stable duality ; such .a molecule is neutral Combinations of three or more Anu are positive, negative or neutral, according to the internal molecular arrangement; the neutral are relatively stable, the positive and negative are continually in search of their respective opposites, with a view to establishing a relatively permanent union.
Speaking generally, positive groups are marked by the points of Anu being turned outward and negative groups by the points being turned inward towards each other and the centrc of the group.
The groups show all kinds of possible combinations; the combinations spin, turn head over heels, and gyrate in endless ways. Each aggregation is surrounded with an apparent cell-wall, a circle or oval, due to the pressure on the surrounding matter caused by its whirling motion. The surrounding fields strike on each other and the groups and rebound, dart hither and thither, for reasons we have not distinguished.
TYPES OF E4 MATTER
The first thing which is noticed by the observer, when he turns his attention to the chemical atoms, is that they show certain definite forms. The main types are not very numerous, and we found that, when we arranged the atoms we bad observed according to their external forms, with a few exceptions they fell into seven natural classes. Fig. 10.
1. The Spike Group
2. The Dumb-bell Group
3. The Tetrahedron Group
4. The Cube Group
5. The Octahedron Group
6. The Crossed Bars Group
Each atom has a spherical or oval wall, within which the various groups of Anu move. That wall is drawn as an ovoid in the case of Hydrogen; it must be imagined in the case of every other element. A sphere-wall is a temporary effect, caused by one or more Anu in rotation. Just as a stream of air under pressure will make a hole on the surface of water, by pushing back that water, so is it with the groups. As they revolve, the force of their motion drives back the circumambient medium. That medium thus driven back by the atom element as it moves round its axis is the space around it which is filled with millions of loose Anu ; it also drives hack denser parts of what is called astral matter. For instance the medium driven back by each separate funnel in Sodium if astral atomic matter.
In the seven clearly defined forms it is worthy of notice that in divalent elements four funnels open on the faces of a tetrahedron ; in trivalent. six funnels on the faces of a cube; in tetravalent, eight funnels on the faces of an octahedron. Here we have a regular sequence of the platonic solids, and the question suggests itself, will further evolution develop elements shaped to the dodecahedron and the icosahedron ?
octahedron tetrahedron cube octahedron
FIG. 10. THE SEVEN FUNDAMENTAL FORMS OF THE ELEMENTS
Fig. 11 shows the five Platonic Solids. It was seen during the investigations at Weisser-Hirsch that all the chemical elements, with the exception of Hydrogen, Oxygen and Nitrogen, appeared to be tonstructed in a way which suggested the well-known Platonic solids—tetrahedron, cube, octahedron, dodecahedron and icosa-hedron. No element suggesting the dodecahedron was found, but bodies which made the central nucleus in several elements had groups of six Anu at the twenty corners of the dodecahedron.
A most interesting fact was the discovery by a Spanish Theosophist, Senor Arturo Soria Y Mata, of the relation that exists between the tetrahedron, dodecahedron and icosahedron. He constructed models of five regularly interlaced tetrahedra, and the twenty points of these five tetrahedra, when joined, gave the surface of the twelve-sided dodecahedron, while the intersecting points of the tetrahedron and dodecahedron gave the corners of the icosahedron. He published a monograph, " Genesis," in Madrid in 1913 giving the diagrams and showing how to cut paper to make the various solids. There has never been any difficulty concerning the five solids, but it was he who for the first time gave the diagrams describing how to cut the twenty corners of five tetrahedra and join them together. It was only in 1922, when investigating the structure of Benzene, that the figure of the dodecahedron was found as the central uniting nucleus of Benzene.
One difficulty that faced the investigators was the identification of the forms seen on tocusmg the sight on gases. It was only possible to proceed tentatively. Thus, a very common form in the air had a sort of Dumb-bell shape. We examined this, comparing our rough sketches, and counted its Anu; these, divided by 18—the number of ultimate atoms in Hydrogen—gave us 23.22 as the atomic weight, and this offered the presumption that the atom observed was Sodium. We then took various substances such as common salt, in which we knew sodium was present, and found the Dumb-bell form in all. In other cases, we took small fragments of metals, as Iron, Tin, Zinc, Silver, Gold ; in others, again, pieces of ore, or mineral waters. For the rarest substances, Mr. Leadbeater visited a mineralogical museum.
In counting the number of Anu in a chemical atom, we did not count them throughout, one by one ; when, for instance, we counted up the Anu in Sodium, we dictated the number in each convenient group to Mr. Jinarajadasa, and he multiplied out the total, divided by 18, and announced the result. Thus: Sodium is composed of an upper part, divisible into a globe and 12 funnels; a lower part, similarly divided; and a connecting rod. We counted the number in the upper part: globe—10 ; the number in two or three of the funnels—each 16 ; the number of funnels—12 ; the same for the lower part; in the connecting rod—14. Mr. Jinarajadasa reckoned: 10 + (16x 12) =* 202 ; hence . 202 + 202 +14 - 418: divided by 18 = 2322 recurring. By this method we guarded our counting from any prepossession, as it was impossible for us to know how the various numbers would result on addition, multiplication and division, and the exciting moment came when we waited to see if our results endorsed or approached any accepted weight. In the heavier elements, such as gold, with 3,546 Anu, it would have been impossible to count cach Anu without quite unnecessary waste of time, when making a preliminary investigation. Later, it may be worth while to count each division separately, as in some we noticed that two groups, at first sight alike, differed by 1 or 2 Anu.
The groups into which the elements fall when arranged according to their external forms prove to be very similar to those indicated in Sir William Crookes' classification. The simplest form of presentation of this periodic law is that described by Crookes in a lecture which he gave to the Royal Institution in London on February 18, 1887. Crookes visualizes a cosmic energy at work on cosmic substance which he terms "protyle". We can imagine this energy as of two kinds, one tending as if downwards, from above below, the other as if swinging pendulum-wise from right to left, left to right. The swing of the pendulum slowly narrows. Both forccs are rhythmic, and they meet and cross at set places or periods. Where that happens, then " protyle " is affected, and an element is generated.
In considering the heavier elements, especially those belonging to the radio-active group, we find a certain variation from the orderly progress. All the way down we have been in the presence of an evolutionary force steadily pressing downward into matter along a spiral line. At certain points this force encounters the perpendicular lines which represent the various types or tendencies. We can imagine a group of nature spirits, marshalled under the orders of some higher Power, building these atoms according to the plan of the line to which they belong, and then scheming how to introduce the additional atoms which have been gathered since last the force crossed their line, while still retaining the main characteristics of their original plan.
Among the heavier elements it would seem that the power of the distinctive type is becoming less in proportion than that of the evolutionary force, for this latter is beginning to carry on with it certain characteristics from one type into another. Elements show affinity not only with those above it but also with those next before it on the spiral. The results seem in some ways to suggest the idea that an effort is being made to evolve certain features which shall when perfected be imposed upon all types. When we find two different attempts to build the same element it suggests two attempts one of which may be more suitable and therefore ultimately become permanent.
We find the central sphere of the chemical atom always increasing in size and importance until in the Radium group it seems to be the soul of the atom and the reason for which it exists—an active intensely living object rotating with wonderful rapidity, ever drawing in and throwing out streams of matter, and actually maintaining by its exertion a temperature higher than that of surrounding objects.
The process of making the elements is not even now concluded ; Uranium is the latest and heaviest element so far as we know (1912), but others still more complicated may perhaps be produced in the future.
A list of all the elements with the number of Anu in each, their weights and their characteristic shapes, is given later.
In the line depicting « pendulum swinging backwards and forwards, all the elements are marked in their order of weight; the lightest. Hydrogen, beginning the pendulum swing, and the heaviest. Uranium, (and possibly one or more heavier, yet to be discovered) closing the swing. Among the upright lines is a middle one, and there are four on either side. If the middle perpendicular line represents no valency, and also interperiodicity, and if the four lines on either side of this median line represent Valency 1, Valency 2, Valency 3, and Valency 4; then, it is found, as the elements are mapped out in the order of their atomic weights, at the intersecting points of the pendulum line and the nine upright lines, that the element appear in order of Valency.
With a few exceptions, elements with similar external forms fall on the same vertical line. This may be seen on reference to Figure 12.
First come 4 elements which are formed before the swing of the pendulum begins. These are ovoids.
The Spike Group.—The atoms of each of die elements consist of a number of spikes radiating from a central globe in the centre of a plate-like form.
The Dumb-bell Group.—The atoms of this group consists of a central rod at the ends of which we find a globe. From each of the globes project 12 funnels. The whole making a form like a dumb-bell.
The elements in the dumb-bell and the spike group are those usually considered by chemists as having a characteristic valence of one or seven. They are found to right and left of the central line.
The Tetrahedron Groups.—The atoms of this group have four funnels, containing ovoid bodies, opening on the face of a tetrahedron. The funnels generally, but not always, radiate from a central globe. There are two tetrahedron groups at opposite sides of the central line of the pendulum swing. Their characteristic valence is two or six. The tetrahedron seems to be one of the favourite forms of nature and appears repeatedly in the internal structure. There are two tetrahedron groups, to right and left of the central line.
The Cube Group.—The cube appears to be the form of trivalent elements. It has six funnels containing ovoids and opening on the faces of the cube. There are two cube groups, at the left and right of the central line.
The Octahedron Group.—Here we find eight funnels opening on the eight faces of an octahedron. The elements are tetravalent The two octahedron groups occur at the extreme left and right of the swing of the pendulum.
The Bars Group.—This is the characteristic shape of sets of three closely allied elements termed interperiodic. Fourteen bars, or seven crossed, radiate from a centre. This group occurs on the central line.
The Star Group.—A flat star, with five interpenetrating tetrahedra at the centre, is characteristic of this group, which comprises the inert gases. This group occurs on the central line.
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