Independent Applied Physics Laboratory
Est. 2019 · Field Vol. VII
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// 01 — Doctrine
A laboratory built on symmetry, not assumption.
The Allistar Center investigates the geometric substrate beneath physical phenomena — the proposition that resonance, energy, and form are expressions of a single, underlying symmetry. We publish what we measure. We build what we publish.
Our work sits between theoretical physics and engineering practice: every paper has a counterpart in steel, copper, and instrumentation on the lab bench. Hypotheses live or die by reproducibility.
// 02 — From the Alchemical Manual
Main Principles.
The working laws the Center returns to. Each principle is a lens — a way of reading geometry, motion, and field at once. Together they form the grammar of the work.
PRINCIPLE · IActive
The Law of Equilibrium
Energy always seeks balance between two potentials — and that balance point is where all action originates.
In any system where two unequal potentials exist, energy moves along the most economical path, settling at a precise midpoint called the fulcrum. This is not passive balance — the fulcrum is an active node from which all radii carry the equilibrium signal outward. Greater potential flows toward lesser until symmetry is restored. This principle governs all energy transfer: electrical circuits, fluid dynamics, gravitational fields. Any engineered device must locate its natural point of balance before it can operate at maximum efficiency. When the fulcrum is correctly positioned, the system self-organises — no external forcing is required. Energy flows because the geometry demands it.
All energy exists in two complementary phases: outward expansion (kinetic) and inward contraction (potential), cycling endlessly.
Every energy phenomenon has two inseparable faces. The kinetic phase radiates outward from a centre, forming a sphere of influence — it is the moving, dynamic, pressure-creating aspect of any field. The potential phase contracts inward as a line returning to source — it is the stored, tensioned, ready-to-act aspect. These two phases are not opposites that cancel; they are a single continuous circuit. At the boundary of maximum expansion, the kinetic converts to potential; at the centre of maximum contraction, potential converts back to kinetic. All phenomena — light, gravity, electrical charge, magnetism — are expressions of the same expansion-contraction rhythm at different scales and frequencies.
Phase · Continuum
PRINCIPLE · IIIActive
Spherical Energy Gain Through Compression
When an energy sphere is compressed beyond its expansion limit, it divides and replicates — each division carrying the full original signal.
When the outward-expanding phase of a field is prevented from continuing — when it is contained, compressed, or reflected — a threshold is reached. Rather than dissipating, the energy goes corpuscular: it divides into smaller units, each carrying the full amplitude of the original signal. This is not signal degradation — it is signal multiplication. The mechanism is structurally analogous to cavitation in fluid dynamics, stimulated emission in lasers, and cell division in biology: in all cases, compression at a boundary produces more discrete units of the original phenomenon. The engineering implication: correct containment geometry at a sphere boundary is a potential mechanism for energy gain, where one input produces multiple outputs each carrying equivalent amplitude.
Compression · Gain
PRINCIPLE · IVActive
The Point Fulcrum as Origin of All Circuits
Every energy circuit originates from an invisible balance point — from which all radii carry the equilibrium signal outward.
A fulcrum is not merely a balance point — it is the source. From the central point of equilibrium, all radii of a sphere carry identical information outward. This means the fulcrum is simultaneously a receiver (converging inward-traveling potential) and a broadcaster (radiating outward kinetic field). Any system that fails to locate and utilise its natural fulcrum wastes energy fighting its own geometry. Conversely, any system designed around its fulcrum exhibits organised, coherent field behaviour with minimal losses. This corresponds structurally to a Lagrange point in gravitational physics — a null zone where forces balance — but extends beyond gravity to all field types. The fulcrum is where, properly understood, accessible field energy concentrates.
Origin · Pivot
PRINCIPLE · VActive
As Above, So Below — Universal Scalar Hierarchy
Every field exists simultaneously at multiple scales. The macro pattern contains the micro pattern; each level communicates with the others through harmonic ratios.
The universe does not merely resemble itself at different scales — it actively communicates across scales through harmonic resonance. The macro field level operates at twice the amplitude and twice the wavelength of the local level, transferring energy downward as undertones. In conventional physics this manifests as the fractal self-similarity of natural structures, octave relationships in acoustic and electromagnetic harmonics, and the nested scale-invariance observed in plasma filaments, tree branching, and river networks. Devices that resonate with more than one scale of the field hierarchy can receive energy from the larger scale and express it at the local scale — a principle underlying antenna design and Schumann resonance coupling.
Scale · Hierarchy
PRINCIPLE · VIActive
Overtone and Undertone Cascade
Pressure applied to any frequency instantly generates harmonics in both directions — the harmonic series is a pressure-response mechanism, not merely a mathematical pattern.
When pressure is added to a field at a given frequency, the system does not merely amplify — it generates new frequencies in harmonic relationship both above (overtones) and below (undertones) the original. This cascade is instantaneous and pressure-driven. In conventional physics, this is the basis of all acoustics, the harmonic series in music, and the overtone structure of electromagnetic resonators. The deeper engineering principle: the harmonic cascade is a mechanism of energy distribution. The original frequency cannot contain all added pressure, so it routes that pressure into adjacent harmonic slots. A device designed to capture these harmonics — rather than filtering them as noise — recovers energy that conventional design wastes. Fractal geometry is the spatial expression of this principle: each iteration is an undertone of the whole.
Harmonic · Cascade
PRINCIPLE · VIIActive
The Signal as Creative Force
A signal is not merely information — it is an energy-creating event. Every broadcast from a centre point transforms the field.
A signal carried inward to a centre point and then broadcast outward spherically is not merely transmitting information — the act of spherical broadcasting from a centre is itself an energy-generative event. The geometry of broadcast — spherical, from a centre, along all radii simultaneously — is what distinguishes this from a linear wave. This aligns with the observed physics of standing waves, where energy localises at nodes, and with plasma discharge, where spherical wavefronts produce field compression effects unpredictable from a linear model. Any engineered system that treats its centre point as a source — not just a relay — and broadcasts coherently in all radial directions simultaneously operates on this principle.
Signal · Broadcast
PRINCIPLE · VIIIActive
The Phi Ratio as the Architecture of Efficient Transfer
The golden ratio (φ ≈ 1.618) is the geometry of maximum energy transfer efficiency in field systems — not aesthetic preference, but engineering necessity.
Phi is the only ratio where the whole relates to the larger part as the larger part relates to the smaller — a self-referential proportion that appears in the growth of shells, tree branching, planetary orbital resonances, and the proportions of living organisms. In field physics, phi-ratio geometries produce standing wave nodes at precisely the positions that maximise energy coupling between adjacent harmonic levels. As a concrete example: the three nested copper spheres of the Space-Time Antenna prototype are spaced in phi ratio to one another — each shell sits at the natural harmonic interval of the field, not at an arbitrary engineering distance. This is why phi-ratio geometry is not an aesthetic choice in this research — it is a structural requirement for coherent field interaction.
In mathematics: phi is the only ratio where the whole relates to the larger part as the larger part relates to the smaller — a self-referential proportion that appears in the growth of shells, the branching of trees, the proportions of the human body, and the orbital resonances of planets.
Phi · Geometry
PRINCIPLE · IXActive
Resonance Is the Foundation
Every system in the universe is held in form by resonance. To change a system — or interact with its field — you must first match its frequency.
Resonance is not a technique — it is the foundation of all structured existence. A field not in resonance with its environment loses coherence, dissipates, and collapses. A field in resonance receives energy from its environment, stabilises, and amplifies. This is confirmed at every scale: the laser requires stimulated emission at a resonant frequency; the radio antenna must be cut to resonant length; the Schumann resonance at 7.83 Hz links the planetary electromagnetic cavity to biological systems; the quartz crystal oscillates stably because its atomic lattice is a geometric resonator. The engineering conclusion is absolute: before any other design consideration, identify the resonant frequency of the target field. All geometry, all materials, all dimensions must then be chosen to match it. Resonance is not optimisation — it is the prerequisite for function.
Resonance · Foundation
// 03 — Working Systems
Prototypes — built, measured, logged.
Three physical prototypes built over six years of independent research, each expressing fractal self-similarity and the Phi ratio across axial, radial, and spherical geometries.
PROTOTYPE · IACTIVE
Radially Extended · Fibonacci
The Flash Matrix
Hemispherical capacitor with embedded counter-rotating Fibonacci spiral conductors (34 + 21 arms) within the dielectric, central copper rod, and quartz crystal sphere positioned at the phi-ratio focal point. Cockcroft–Walton ring charge pump at equatorial rim drives split-phase induction across the spiral geometry, generating a radial field gradient that converges and diverges symmetrically toward the central axis.
Fibonacci SpiralPhi Focal PointRadial Field
The Fibonacci Spiral · Nature's Optimal Distribution Pattern
The counter-rotating spiral geometry is drawn directly from nature. The sunflower is the most visible example — its seeds arrange in intersecting Fibonacci spirals (34 and 21 arms) because this is the only ratio that allows the maximum number of seeds to pack into a circular area with perfect symmetry. No other mathematical pattern achieves this density distribution.
Potential Gradient & Field Acceleration
At each crossing point of the two spiral sets, a node of elevated potential is created. Because the spiral density is highest at the center and decreases naturally toward the circumference — mirroring the sunflower's geometry — the potential gradient rises symmetrically inward. Fields, like all energy in nature, move from higher potential toward lower potential. This gradient acts as a driving force, accelerating the field outward along the spiral path toward the circumference — analogous to the principle of the cyclotron, where particles gain kinetic energy by following a curved accelerating path.
Seven Octaves · The Harmonic Architecture
Fibonacci Spiral · φ Geometry
Each spiral arm is constructed from seven successive quarter-circles of increasing radius, each representing a distinct frequency octave. This means the Flash Matrix is in fact a seven-octave oscillator embedded in the geometry itself, with each arc naturally tuned to a harmonic of the previous one.
Because these seven octaves transition through the phi ratio, the jump between each arc is never arbitrary — it follows nature's own scaling law. The smooth fractal gradient this creates allows fields to expand and contract in self-similar patterns — each scale mirroring the next — enabling isotropic propagation simultaneously at both macro and micro scales when driven at resonant frequency.
Where the counter-rotating spirals intersect, waves from each octave meet in constructive interference — reinforcing rather than cancelling each other. The result is a geometry that does not oscillate at a single frequency but creates a phi-scaled harmonic cascade — seven nested octaves resonating together coherently, propagating their self-similar field patterns outward in every direction equally — resulting in hyperconductivity: simultaneous radiation in all directions at once.
The Central Temporal Axis · Geometric Acceleration
The central copper rod defines the central temporal axis of the Flash Matrix — the reference axis around which all spiral geometry is organized. The counter-rotating spirals are effectively flattened radially relative to this axis, meaning field propagation follows a planar path outward from center to circumference.
Each successive intersection point toward the circumference is geometrically longer in arc length than the previous one. Because the temporal interval between each intersection remains constant, this directly produces acceleration by the fundamental relationship:
v = d / t
Where v is the field propagation velocity, d is the arc length distance of each successive quarter-circle — increasing with every octave outward — and t is the constant temporal interval. With t held constant and d increasing with each step, v increases proportionally — producing real, geometrically-driven acceleration without requiring any external forcing.
v = field propagation velocity — how fast the field moves along the spiral path
d = arc length distance — the physical length of each quarter-circle, growing with every octave outward
t = temporal interval — held constant across all octaves, fixed by the geometry
The spiral geometry therefore does not merely guide the field — it accelerates it intrinsically through its own mathematical structure, purely as a consequence of the phi-ratio scaling between successive octaves.
PROTOTYPE · IIACTIVE
Spherically Extended · Fractal
Space-Time Antenna
Large-scale isotropic stella octangula in 0.5mm copper sheet with 5–6 iteration Sierpiński fractal gasket on all faces, forming a nested capacitor structure with concentric copper spheres at three diameters (∅50cm, ∅80cm, ∅130cm), and a tunable spark gap between the opposing apex tips.
Spherically ExtendedFractal4.5 MHz
A Multidimensional Capacitor
The Space-Time Antenna is a multidimensional capacitor built on a self-similar Phi ratio architecture — a geometry that produces omnidirectional, isotropic field propagation with fractal modulation across three simultaneous scales.
First Phi Ratio · Macro Scale
Nested Concentric Sphere System · Diameter Measurements
The first Phi ratio is visible at the macro scale — the three concentric copper spheres at 50, 80, and 130cm diameter scale by φ = 1.618 from one shell to the next, creating a nested resonant cavity that radiates equally in all directions.
Second Phi Ratio · Fractal Scale
Unifying Pascal, Fibonacci & Sierpiński · The Golden Web
The second Phi ratio lives inside the structure itself — the Sierpiński gasket etched across every face of the stella octangula encodes the Fibonacci sequence in its self-similar fractal geometry, the same sequence that emerges from the diagonal sums of Pascal's Triangle. Critically, the gasket is also subject to binary doubling at each iteration — each triangle spawning two new voids — meaning the structure simultaneously encodes φ, the Fibonacci sequence, and base-2 scaling within the same geometry.
The fractal is not decoration. It is a physical record of multiple mathematical laws expressing at every scale inward.
Third Phi Ratio · Nodal Scale
The Golden Ratio · 1.618 within the Internal Tetrahedron–Sphere Core
The third Phi ratio operates at the nodal level — the ratio between the edge length of the internal tetrahedron and the straight-line distance from any apex node to the surface of the enclosing sphere equals φ. The geometry self-organises to the same ratio at the structural scale.
Three scales. One ratio. One law.
The Discharge Cycle
The spark gap between the Merkaba apex tips and the inner sphere wall fires as a relaxation oscillator — discharge, collapse, recharge. Each harmonic reinforces the next through constructive interference, building a self-amplifying frequency architecture locked to the geometry of the device itself. Confirmed resonant frequency: 4.5 MHz.
Field State Transition
When the field reaches threshold compression inside the nested cavity, it undergoes a phase transition — from continuous wave propagation to corpuscular emission. Energy that was distributed across the field now concentrates into discrete, structured packets. This is not signal loss — it is signal densification. Each packet carries the full amplitude of the original field at a fraction of the wavelength. The geometry creates the pressure. The pressure creates the transition.
PROTOTYPE · IIIACTIVE
Axially Extended · Phi Ratio
Phi Ratio Cones
Two intersecting copper cones wound with Phi ratio (base to height) spiral copper wire, crossing along the central axis to form a standing hourglass field structure. Investigates axial field concentration and directional energy propagation along the Z-axis.
Axial FieldPhi Ratio~600 kHz
The Hourglass Field Structure
Two copper cones intersect along the central axis — apices touching at the geometric center, bases flaring outward in opposite directions. The result is a standing hourglass geometry — the only configuration where two opposing field gradients meet at a single point and exchange energy symmetrically.
The Phi ratio governs the base-to-height proportion of each cone. This is not an aesthetic choice — it is a structural requirement. The Phi ratio is the only proportion where the whole relates to the larger part as the larger part relates to the smaller, creating a self-similar geometry that the field can propagate through without destructive interference at any scale.
Closed Loop · Counter-Wound Architecture
Phi Ratio Cones · Closed Loop Field Dynamics
The two cones form a closed loop — a shortened circuit in which the field circulates continuously without external termination. Each cone is wound in the opposite direction to the other. When one cone is inverted and placed apex-to-apex with its mirror, the winding directions become compatible — the current flow in both cones aligns, and the combined structure behaves as a single continuous circuit.
At any given half-cycle, all four zones are active simultaneously. At the north/top: one cone concentrates field toward its apex while the other expands field from its base — in the same plane, at the same moment. At the south/bottom: simultaneously, the opposing cone expands from its apex while the other concentrates from its base. Then the cycle reverses — continuously, without interruption.
This dynamic mirrors the concept of time dilation in relativistic physics — where space and time are not independent absolutes but relative to each other. At the apex, where field potential is maximum and spatial expansion is minimum, the system behaves as if time is compressed — energy is concentrated, dense, ready to discharge. At the base, where spatial expansion is maximum and potential is minimum, the system behaves as if time is accelerated — energy is distributed, kinetic, in full motion. The cone does not merely move energy from one end to the other. It continuously transforms the relationship between space and time within the field itself — exactly as mass and velocity do in relativistic systems, but expressed here through geometry alone.
Inductive and Capacitive Gradient · Energy Transfer
Phi Ratio Cones · Inductive & Capacitive Gradient
The geometry creates both an inductive and a capacitive gradient simultaneously — without external components. The spiral winding produces inductance that increases toward the base — larger diameter winding, higher inductance, kinetically predominant zone. Toward the apex, the narrowing geometry causes field surfaces to converge, building capacitive potential — a potentially predominant zone subject to closure and discharge.
The result is a continuous, rapid transfer of energy — from kinetically predominant at the base of one cone to potentially predominant at the apex of the opposing cone, and vice versa — driven entirely by the geometry itself. No switching circuit. No external forcing. The shape is the mechanism.
Axial Field Propagation
Unlike the Flash Matrix — which radiates omnidirectionally in the radial plane — and the Space-Time Antenna — which radiates isotropically in all directions — the Phi Ratio Cones concentrate field propagation along the Z-axis: the vertical axial dimension.
Energy entering the geometry does not disperse — it is guided and concentrated toward the apex intersection point, then propagated outward along the central axis in both directions simultaneously. The hourglass acts as a waveguide built from geometry alone.
Seven Octaves · Axial Harmonic Architecture
Seven Octaves · φ Axial Harmonic Architecture
The winding of each cone is constructed from seven successive quarter-circles of increasing diameter — the same harmonic architecture used in the Flash Matrix, but expressed here along the axial dimension rather than the radial plane.
In the Flash Matrix, the seven octaves radiate outward from the center in a flat spiral. In the Phi Ratio Cones, the same seven octaves stack vertically along the Z-axis — each successive winding representing a distinct frequency octave, scaling through the phi ratio from apex to base.
This is not coincidence. Seven is the fundamental harmonic division that nature uses consistently across scales and domains — the seven wavelengths of visible light, the seven notes of the musical scale, the seven chakra energy centers of the human body, the seven colours of the rainbow. In each case, a continuous spectrum is divided into seven discrete, coherent bands by the same underlying harmonic law.
The Phi Ratio Cones encode this law physically — seven octaves of inductive winding, axially arranged, each scaling to the next through the phi ratio. The geometry does not approximate the harmonic series. It is the harmonic series, expressed in copper and space.
Together, the seven phi-scaled octave windings create the conditions for what can be described as a harmonic geodesic concordance — a compendium octave change in which the entire range of frequencies within the device shifts simultaneously into an adjacent field system. Not one frequency jumping, but the whole orchestra moving registers at once. The field either belongs to one octave system or it does not — like water becoming steam, the transition is a threshold crossing, not a gradient. The phi ratio builds the geodesic path — the shortest, most efficient route between octave systems — directly into the copper geometry. And when every winding, every octave, every layer of the field is in agreement simultaneously, the concordance is achieved. The geometry does not force the shift. It makes the shift inevitable.
Anti-gravity proof-of-concept based on rotational conductive mass. A copper disc with alternating conductive and non-conductive phase segments spins inside an aluminium dome at minimum 2,300 RPM, generating a kinetic field aligned with the Eternity 3-loop topology. The opposing spin of 24 solenoids and the central disc creates compatible field convergence — concentrating potential at the geometric centre and projecting a kinetic wavefront outward to interfere with gravitational tensor vectors.
Earth's gravitational field manifests as potential energy converging inward — tensor vectors moving in straight lines toward the Earth's core. The core maintains extremely high potential; as this potential expresses outward to the boundary of the gravitational sphere, it converges again — a continuous inward flow of straight-line tensor vectors.
The Eternity hypothesis: if a rotating conductive mass generates a kinetic field at precisely the same frequency as these tensor vectors, but with opposite spin, the kinetic field will cut and divert the gravitational vectors radially around the craft — rather than allowing them to pass through it. The result is a lifting force: the object falls upward along the diverted field lines.
This is not thrust. There is no propellant, no reaction mass. The craft does not push against anything. It cancels the vector lines that would otherwise pull it downward — and in the absence of those vectors, the equal and opposite expansion of the kinetic field becomes the net force.
The Eternity Field Topology · 3-Loop Compatible Spin
Electrodynamic Interactions · Φ Field Geometry
Law of Equilibrium · Point Fulcrum — potential concentrates at centre, kinetic energy expands outward as coherent wavefront
The device is named after the Eternity pattern — a 3-loop electromagnetic topology distinct from the Infinity (∞) symbol. Where two wires with opposite directional flows repel and cannot overtone (Infinity), three current paths — two outer loops moving in the same direction with a central loop as focal point moving in the opposite direction — create compatible spin.
In the Eternity configuration, the outer two field loops are drawn inward by an encompassing overtone. A central countercurrent appears perpendicular to both. The tori mesh like gears: one stimulates compatible flow in the other. The result is field vectors converging inward toward the geometric centre — building potential at the Point Fulcrum — rather than repelling outward as in the Infinity configuration.
In the physical device: 24 solenoids form the outer field ring, spinning their electromagnetic field in one direction. The copper disc at centre spins in the opposite direction — acting as the focal loop that organises the solenoid fields into compatible spin. This is the Eternity pattern expressed in hardware.
Law of Equilibrium · Point Fulcrum → High Potential at Centre → Equal & Opposite Kinetic Expansion
The conductive disc is machined with alternating conductive and non-conductive segments — acting as phase modulators that shape the kinetic field waveform as the disc rotates. Two disc variants have been tested: 6mm and 12mm thickness, both at 165mm diameter. The heavier 12mm disc at 3kg provides greater rotational inertia for sustained field generation at resonance.
A pony motor provides initial spin to reach the minimum threshold of 2,300 RPM. Once the system reaches its resonant speed, the kinetic field becomes self-sustaining — the pony motor becomes irrelevant. This threshold RPM is the point at which the disc's kinetic field frequency matches the gravitational tensor vector frequency.
The aluminium dome shell is not structural housing — it is an active field compression boundary. When the kinetic field expands outward from the rotating disc, the dome acts as surface tension, constraining the field and forcing it to bifurcate into corpuscular fields: higher pressure, higher voltage, higher frequency — creating a cascade amplification effect.
Disc Diameter
165 mm
Disc Thickness (v1)
6 mm
Disc Thickness (v2)
12 mm
Total Disc Mass
3 kg
Central Shaft
12mm Carbon Steel
Shaft Coupler
22mm Precision Coupler
Solenoid Count
24 electromagnets
Minimum RPM
2,300 RPM
Dome Material
Aluminium Shell
Drive Motor
Pony Motor (initial spin only)
Stage
Proof of Concept — Lift Force
Spherical Energy Gain · The Cascade Mechanism
When the kinetic field generated by the rotating disc seeks expansion, the aluminium dome creates a boundary condition — analogous to hot gas inside a sealed balloon. The field cannot escape. Instead it bifurcates: pressure builds, frequency rises, voltage increases. This is Spherical Energy Gain — the field amplifies itself through geometric confinement.
The cascade proceeds: kinetic field expands → dome constrains → pressure bifurcates into corpuscular fields → equal and opposite potential concentrates at centre (Law of Equilibrium) → high centre potential generates new kinetic expansion → dome constrains again → pressure builds higher. Each cycle amplifies the previous one.
The current prototype is a rogue-effect proof of concept — designed only to demonstrate that the lifting force can be created. No steering, no altitude control, no navigation systems. If the craft lifts, the hypothesis is confirmed. Controlled flight systems and refined frequency tuning are second-stage development.
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