The Planetary Grid Vision

Wherever there are two potentials, A and B, the energy between them settles on the straight line that joins them, the line of economy, at a point of balance: the point fulcrum. If one is greater, parts of it travel through the fulcrum to the lesser until the two are even, and how far they travel sets the ratio of space to time in the exchange. Travel toward the fulcrum is one direction of time and travel away from it is the opposite; together they make a circuit.

If A and B are cohesive, held to each other like the two ends of a see-saw, nothing needs to flow: the fulcrum itself moves, away from the centre and toward the greater, until both sides balance. Pull them apart and they hold, like a stretched rubber band. The Manual calls the fulcrum power itself: the equal sign of mathematics, the middle way, and the path of communication between octaves.

Each potential also sends out rings, and where the rings of neighbouring points cross they mark points of constant equivalency (Illus. 11-2; Explore → Rings). With three equal potentials every pair balances exactly at the midpoint of its side, and a fourth fulcrum sits at the centre: the inverted triangle, the first step of the Sierpinski division in card V (Explore → Triangle).

The Manual names the balance itself. Space balances on the fulcrum of time, and time on the fulcrum of space, and “the Law of Equivalencies is the Law of Love”: the fulcrum is the point of fair judgement between the two sides. It also draws the balance as an axis of equilibrium at 45° that opens into a double cone (Illus. 11-3); that drawing is not yet on this page.

Watch the rings of two equal potentials (Explore → Rings). Along the line of economy the rings travel in, toward the fulcrum, from both sides. Two rings of the same size first touch exactly at the fulcrum, and from that moment their crossing splits in two and travels out, at right angles, one point up and one down. So equal potentials make two axes through one point: the flow comes in along the first and goes out along the second, the secondary axis. In three dimensions the rings are spheres, and the crossing is a circle widening from the fulcrum (Explore → Rings → Spheres). This is the Manual's common chord (§11-19 to 11-21): when two equal spheres meet, a circular plane forms between them, at right angles to the line that joins their centres, with a torus around its rim. We see in this the four Fibonacci conductors of the Flash Matrix that meet the central rod at right angles: two carry the current toward the centre and two carry it away, two positive and two negative. This is Krasimir's insight (8 October 2026), still to be measured.

The outer sphere and the central rod are the two potentials, and the Merkaba at the centre stands where they balance: the point fulcrum, where the field converges. Every later card starts from such a fulcrum: between two currents (card III), at an apex (card IV), at the midpoints of a face (card V). This is our hypothesis.

The cohesive case is Archimedes' law of the lever: a beam balances when each weight times its distance to the pivot is the same on both sides, so the pivot sits closer to the heavier weight. The case that flows is everywhere in physics: two charged capacitors joined by a wire share their charge until their voltages are equal, heat flows from hot to cold until the temperatures are equal, and water in connected vessels settles at one level.

Physics has the balance point and the equalising flow, but not time in them: that travel toward the fulcrum is one direction of time and travel away from it the other, and that space and time balance on each other, are the Manual's picture and our hypothesis.

Sources: Alchemical Manual, Vol. 1, ch. 4 and ch. 11, Illus. 11-1, 11-2, 11-3 and 11-7 · own research · Lever · Thermal equilibrium · Communicating vessels

Tori stacked like insulated windings. The circuit loops make a torus, and the tori stack one upon the other with space field between them, the way the wire windings of an electric motor are each coated with insulation. Loops close to the source are short and travel little; the largest loops travel far. Every torus has circulating centres called orbits: a bigger torus has a bigger orbit, and every orbit is insulated from the others. All of them are driven by the same source at the same speed. That is the first tab.

The centre is slower, the rim faster. The Manual also says the centre of a vortex is always slower than its loop, and the orbits it makes are graduated: slowest at the centre, more active toward the circumference, with speeds you can calculate once the speed of the main current is known. That is the second tab. So the Manual gives both pictures: the same speed everywhere, and the same turning rate everywhere.

The magnetic dinner plate. The circuits inside a space torus lie on an equatorial plane. A primary circuit resonates into a series of concentric circuits that alternate between space-field and time-field predominance. The Manual calls this plane the “magnetic dinner plate”. The red rings of the red counter-current are that alternation.

A torus around every motion. Any action in one field calls up an equal action in the opposite field. A moving particle meets a sphere of opposing space field, which coils against its direction of travel in a tight torus around its tip and then widens, sideways to the motion. So mass, in this reading, is time-field points held together, each wrapped in a space torus under pressure. The fourth tab shows it.

Overtones and particles. Compatible tori join together in overtones. Their central currents describe a centre and orbits, and the orbits are held in place by the pressure inside the tori. At the centre of each torus a particle forms, like an electron or a proton. If the orbit changes because the field shifts, the particle is released to find its own path.

Twin tori. A space-field torus and a time-field torus can look the same by their direction of turning, since both follow the right-hand rule, but they are not the same: one carries a stronger time-field charge, and an antenna can tell them apart.

The blue half is the motion of the space field outward, the orbital tori that form where each orbit curls round itself. Where two neighbouring tori touch they meet head on, and we read that meeting as a fulcrum: a point of balance where the opposite current appears. The red counter-current draws that opposite half: an axis pointing down and rings turning the other way, equal in strength to the blue. Equal and opposite is why we call it symmetric field physics. The Manual describes the pattern; we are not offering a recipe, and the red half is our hypothesis, drawn from the Manual's idea that every action in one field calls up an equal action in the other.

Source: Alchemical Manual for This Millennium, Vol. 1 (A. Olson), paraphrased · own research

It begins with one wire. A steady current (DC) is wrapped in concentric loops that stand still, the same all along the wire. An alternating current (AC) builds from zero to its peak, falls back and reverses, and the field it makes spreads outward as it goes: the loops are no longer fixed circles, and their record forms spirals that wind out one way and back the other at each reversal. That the spirals of AC are the spirals of the Flash Matrix's Fibonacci conductors is our hypothesis.

The current runs along the axis; the torus turning around it is its magnetic field, and it turns by the right-hand rule. Put two currents side by side. If they run the same way, their tori turn the same way: between them the two flows meet head-on, yet they do not cancel. An encompassing overtone draws both into one larger torus, and at the point fulcrum between them a small torus turns the opposite way, like a gear between two gears turning the same way: where it touches each of them their surfaces move together, so it is compatible with both. Its axis carries the central countercurrent, running opposite to both currents. The Manual marks this with the sign of eternity, a point. If the currents run opposite ways, the tori mesh like gears and drive each other: the flow passes from one to the other in a figure eight, the sign of infinity, the two push apart and cannot overtone, and a centre current crosses between them at right angles to both.

On every solid in card IV the tori of neighbouring faces turn the same way, so every edge is a case of eternity. Where the faces send their current out, a countercurrent comes in through the middle of each edge, and on each face the energy moves from its centre to its three edge fulcrums. Joined up, the fulcrums form the inverted triangle, and dividing again repeats it in every corner: the Sierpinski gasket of card V, built by the countercurrents. Fold the face and its three neighbours into a tetrahedron and the whole circuit closes: the current goes out through the 4 faces and comes in through the 6 edges and the 4 apices.

A steady current is surrounded by circular magnetic field lines (Ørsted, 1820). An alternating current builds, collapses and reverses its field every half cycle, and the change travels outward at the speed of light: that is how every antenna radiates. The spiral in the diagram is a way of drawing that travelling field, not a measured spiral.

Two wires carrying current the same way attract, and opposite currents repel (Ampère's force law). Halfway between two parallel currents their magnetic fields cancel exactly, a null point, while the field around both closes into one larger loop; between opposite currents the field is strongest and points straight across, at right angles to both wires. A changing current also induces an opposite current in a wire beside it (Lenz's law, Illus. 6-7). Every antenna cable shows the difference: in the old twin-lead the two opposite currents run side by side and their field reaches out around the cable, while in a coax cable the centre current runs inside the shield's encompassing return current, the field stays between them, and outside it is zero (Explore → Cables).

Conventional physics finds a null point between parallel currents, where the field is zero. That a countercurrent flows there, and that it feeds the Sierpinski division of the face, is the Manual's picture and our hypothesis. It can be tested: measure along the line through the null point between two parallel coils.

Sources: Alchemical Manual, Vol. 1, Illus. 6-1, 6-3, 6-6 and 6-7 · own research · Ampère's force law · Lenz's law · Coaxial cable · Twin-lead

A point fulcrum at the centre of a solid bisects each face at right angles and gives it an axis, and around each face axis a space torus forms. In a pyramid the tori all turn the same way, so at the apex, the point of conjunction, they join into a single column of axial energy. Its direction follows the right-hand rule: if the flow leaves through the faces, it enters through the apices, and the reverse. The same holds for every solid.

The frequency of a torus depends on how far its wave travels from its axis. Wide tori turn slower and lower; tight tori turn faster and higher, just as a theremin's pitch rises when the hand comes closer to its aerial.

Around each face axis the tori are concentric. A pyramid brings the tori of its faces together at the apex, the point of conjunction: there they join into rings around the apex axis that tighten toward the tip (after Illus. 11-4B). The right-hand rule sets every spin: the thumb points along the current and the fingers give the rotation. Where the current leaves through a face, its tori turn counterclockwise seen from outside; the current enters at the apex, so the apex rings turn clockwise seen from outside. The spins agree exactly where the faces meet, and together they make the column of axial energy at the apex.

In the diagram every current is coloured by its direction: blue going in, red going out, whatever reverses it. Follow the currents inward and every axis becomes a dipole. What the apices draw in travels along their axes to the centre, splits there, and leaves along the face axes. In the tetrahedron each apex axis runs straight through the centre and out of the opposite face, so one line carries the current in at one end and out at the other.

In the Merkaba the shape allows only one behaviour: it is a passive circuit, and like a star all 8 tips receive, or all 8 emit, at the same instant. The counter-rotation that many teachings describe is still there, as a matter of viewpoint. Look along the axis through two opposite tips: the near tip's rings turn clockwise, and the far tip's rings, which also turn clockwise seen from their own side, appear counterclockwise from here. One rule, seen from one side, gives two tetrahedra turning opposite ways. Press Cones to see it: the apex tori grow into cones, the axis through two opposite tips stands upright, and the labels show the top cone turning clockwise and the bottom one counterclockwise.

The octahedron at the Merkaba's core agrees with it too (Octahedron tori). Each of its 8 faces looks straight at one tip, so its face axis lies on that tip's axis: its tori carry the tip's current and turn the same way. Its 6 corners lie on the 4-fold axes, and by the same rule (current in through the faces, out through the corners) they add six new currents. Press ▶ Start pulse to drive the solid like an alternating current: in each half cycle the currents slow down, stop and reverse, so faces and apices swap roles, and the slider sets how fast. Use View to look straight along a 2-, 3- or 4-fold axis: the moving currents then draw a pattern that repeats 2, 3 or 4 times around the centre.

Add more concentric tori with the Tori slider and the outermost one grows to fill its face. Every face here is a regular polygon, and its inscribed circle touches each edge exactly at the midpoint, so the tori of two neighbouring faces meet there. Seen from outside both turn the same way, like two wires carrying current in the same direction (Illus. 6-6): they do not cancel, they are drawn together, and a new point fulcrum forms in the middle of every edge, where a countercurrent appears. Card III, Eternity and Infinity: counter-rotating magnetic fields, shows how. Join the three fulcrums of a triangular face and an inverted triangle appears inside it: the first step of the Sierpinski division in card V, now made by the tori themselves.

The sharper the apex, the tighter the tori that meet there, and so the higher the frequency and the faster the axial current. Of all regular solids the tetrahedron has the sharpest corners (a solid angle of only 0.55 steradian), so it should resonate highest. In the diagram the apex currents pulse faster on sharper corners. This is a hypothesis still to be measured.

The Merkaba is two tetrahedra passing through each other, and their common core is an octahedron. Each of its 8 tips is a tetrahedron corner (0.55 sr), so all 8 should resonate as high as the tetrahedron. Every tip belongs to one tetrahedron only, so its three tori always agree. All 8 tips draw in together and all 24 faces send out together, and the octahedron at the centre, the heart of the Space-Time Antenna, passes the current on along its own six corners.

A current circulating in a loop produces a magnetic field along its axis, with the direction given by Ampère's right-hand rule. A spinning vortex ring carries momentum along its axis. And in resonant circuits, a smaller loop has less inductance and so a higher resonant frequency.

Separate tori on each face, and their agreement at the apex, have not been measured directly. The diagram shows the model, not a measurement.

Sources: Alchemical Manual, Vol. 1, ch. 11, Illus. 11-4A and 11-4B · own research · Right-hand rule · Solid angle · Theremin

The Law of Equilibrium: between two potentials, energy settles at a point of balance on the line that joins them, the line of economy, and from that point fulcrum the greater flows to the lesser until they are even. The two corners of a side are two such potentials, and because the triangle is equilateral, its three corners are equal potentials: each fulcrum sits exactly at the midpoint of its side, and the division comes out even at every scale. That is the Law of Equivalency of card I, which the Manual calls the Law of Love. Make one corner greater and every fulcrum moves toward it (card I, Explore → Triangle): the inverted triangle tilts and the gasket no longer repeats evenly.

The force of equilibrium bisects a plane as it bisects each line and angle of that plane. It joins each point fulcrum to the next, and a new point of intersection forms at the centre. The pattern repeats at every scale: each new triangle is divided by its own fulcrum, again and again, and the open triangles that remain are the Sierpinski gasket.

The same rule in three dimensions turns a tetrahedron into the Sierpinski tetrahedron, and two of them interpenetrating form the Sierpinski Merkaba at the heart of the Space-Time Antenna. The number of divisions matters. Seeing the first prototype, Bashar said: "You need one more iteration of open triangles," because with too much solid material "it won't pick up on the higher frequency waves."

The Sierpinski gasket is a classic fractal: each division keeps 3 of 4 triangles, so its area shrinks toward zero while its edges grow without end. Its fractal dimension is log 3 / log 2 ≈ 1.585. As an antenna, a Sierpinski triangle resonates at several frequencies, one for each level of division.

In three dimensions the same division turns a tetrahedron into four half-size tetrahedra and opens an octahedron at the centre, the shape at the core of the Merkaba. The surface stays exactly the same at every division while the volume halves each time; the dimension of the Sierpinski tetrahedron is exactly 2. Pascal's triangle draws the gasket by itself: colour its odd numbers and the Sierpinski pattern appears. Add up its shallow diagonals and you get the Fibonacci numbers 1, 1, 2, 3, 5, 8, 13…, whose ratio approaches the golden ratio φ = 1.618. The same triangle of numbers holds the fractal and the golden ratio.

Partner bridge: 08 · Fractal antennas

Sources: Alchemical Manual, Vol. 1, ch. 11, Illus. 11-4A · Bashar, private session, 9 October 2020 · own research · Sierpiński triangle · Pascal's triangle

Divide a circle evenly, join every point to every other, and watch where the lines meet: the more lines cross at a point, the stronger it becomes. A chord that divides 360° evenly moves in a stable cycle; an uneven one keeps stepping around the circle. A 15° chord closes after 24 reflections; a 16° chord needs two full turns and 45 reflections. These rounds act as time cycles. The golden angle, 137.508° (360°/φ²), is the one chord that never comes out even: its closest returns fall at Fibonacci numbers of steps (144, 233, 377…), each closer than the last but never exact. With no closed cycle, it keeps rotating, and this is the angle that lays out the Fibonacci spirals.

The Manual applies the same idea to towers. A torus forms around a point fulcrum and stretches up to a tip; church steeples were built as passive communicators between earth and sky, with tori rising up the tower and leaving from its point. The number of sides of the spire adds a harmonic to the signal, and that harmonic decides what kind of wave is sent. A receiver tuned to that harmonic picks it up.

The rule is not limited to towers. Every form works the same way: the number of sides determines the harmonic. This holds for the Platonic solids, the Archimedean solids and any shape built from them. A pentagon face, a square face or a six-fold corner each adds its own harmonic, and nested solids combine them.

Each of the 48 triangles has angles of 90°, 60° and 45°, so 4, 6 and 8 triangles meet at its three corners. The ratios 8 : 4, 6 : 4 and 8 : 6 are 2 : 1 (the octave), 3 : 2 (the fifth) and 4 : 3 (the fourth), the basic intervals of music.

The 90-60-45 triangle is the fundamental region of octahedral symmetry: 48 copies tile the sphere exactly. Its corners lie on 2-, 3- and 4-fold rotation axes, the rotations allowed in crystals. The ratios 2 : 1, 3 : 2 and 4 : 3 are the intervals of Pythagorean tuning. For the spire: a structure with n-fold symmetry (n equal sides) only supports field patterns that repeat n times around it, so the number of sides does select which modes it carries, as in polygonal waveguides and resonators. The Platonic solids have only 2-, 3-, 4- and 5-fold symmetry axes, and crystals only 2-, 3-, 4- and 6-fold; 7-fold symmetry appears in neither. In plants, leaves and seeds placed 137.5° apart (phyllotaxis) pack a sunflower head as evenly as possible; Vogel's 1979 model rebuilds the sunflower's Fibonacci spirals from this one angle.

The musical ratios are a numerical match in the geometry. Whether they show up as resonances in a real antenna or grid has not yet been measured. Steeples as transmitters, and a "corpuscular signal" carrying the spire's harmonic, are the Manual's claims; they have not been tested. The same holds for the uses of each division (Illus. 10-4 to 10-13), and for our reading of the 6th as the division for galactic communication.

Sources: Alchemical Manual, Vol. 1, §10-105 to 10-107, §11-25 and Illus. 11-6A · own research · Octahedral symmetry · Crystallographic restriction · Pythagorean tuning · Golden angle · Render: Allistar Center