Evidence Layer

Scientific Foundations of VENDOR.Max

Does understanding VENDOR.Max require new physics — or can each publicly disclosed functional block be traced to phenomena that established science already describes?

VENDOR claims a specific result and a specific publicly disclosed composition. This page does not prove that result and does not disclose the proprietary implementation of VENDOR.Max. It maps the publicly disclosed physical mechanisms of the operating cycle to established science, showing that the physical processes and engineering classes on which they rest exist in mainstream science: published, reproduced by independent researchers, and still actively studied. What the reader receives here is not a proof — it is a due-diligence route.

The purpose of this page is not to ask the reader to trust our interpretation of the science. It is to make that interpretation independently auditable: every chapter below names its scientific territory, lists representative scientific and engineering literature from foundational work to the 2025–2026 frontier, and gives the terms to continue the search without us.

Mechanism

Ten mechanisms, and where each one lives in science

The chapters below follow the physical sequence of the cycle, from the carriers already present in the circuit to the controlled operating point. For each: what is publicly stated, which research territory it belongs to, what the literature actually establishes, and where to continue checking.

01

Charge already in place

What VENDOR discloses: VENDOR.Max does not create charge. The carriers that move in its circuits are those already present in its conductors before switch-on; the architecture organizes their motion.

Scientific territory: surface charge on circuit conductors; field and charge distribution in elementary circuits; energy flow in circuits.

What the literature establishes: the surface charge of a circuit simultaneously maintains the potential distribution, the external field and the organization of directed current; the quantitative treatment for elementary circuits was worked out decades ago. These results hold for circuits in general; they say nothing about any particular device.

Representative peer-reviewed research: the three roles of surface charge on circuit wires and resistors[1]; fields and charges in elementary circuits[2]; surface charges and fields of simple circuits[3].

Continue the search: surface charge circuit · energy flow in circuits · American Journal of Physics.

Every chapter below is a different way of organizing this same motion of existing carriers. None of these publications tests VENDOR.Max.
02

Pulse formation

What VENDOR discloses: the architecture accumulates separated charge in storage elements and releases it in fast, controlled events; this stage prepares the excitation applied to the resonant stage.

Scientific territory: pulsed-power systems and capacitive energy storage; pulse compression and pulse forming.

What the literature establishes: staged restructuring of an electrical process in time — storage, switching, time compression — is a mature engineering practice in repetitive operation; step-up transformation is routinely used as an intermediate tool inside such chains rather than as the output; the properties of the switching event itself (rise rate, duration, repetition rate, spectrum) are treated as design variables. Shortening the release time raises the instantaneous rate of transfer; it does not create additional energy, and part of the initial store is lost in the process.

Representative research and engineering literature: the systematic monograph of the field[4]; a repetitive megawatt-class module built as five stages of magnetic time compression with a step-up transformer placed between the stages[5][6]; and recent experimental work extends the same territory to sub-nanosecond pulse formation — a compact spiral generator using a sharpening spark gap produced current pulses up to 0.8 kA with rise times of ≤300 ps[7].

Continue the search: pulsed power engineering · magnetic pulse compression · pulse forming network.

This chapter describes the class of pulse formation, not the node. None of these publications tests VENDOR.Max — see Energy Model.
03

Nonlinear switching and carrier dynamics

What VENDOR discloses: according to the published patent, the switching event takes place in gas-filled discharge channels. As ionization develops and the breakdown condition is reached, the gap transitions from a weakly conducting or non-conducting state to a conducting discharge state within a short interval.

Scientific territory: gas discharge physics; electron-impact ionization; Townsend avalanche; nonlinear plasma and sheath dynamics; RF and dual-frequency discharges; breakdown criteria and Paschen scaling; spark-gap switching; pulsed breakdown and formative delay.

What the literature establishes: in a gas-filled gap, seed electrons accelerated by the electric field can gain enough energy between collisions to ionize neutral particles; each ionizing collision releases further carriers, producing an electron avalanche. In the classical Townsend regime the electron population grows approximately exponentially with distance, \(N = N_0 e^{\alpha d}\), where \(\alpha\) is the first Townsend ionization coefficient; a self-sustaining discharge additionally requires secondary-electron processes, and breakdown voltage scales with the product of pressure and gap distance (Paschen). Carriers are created in electron–ion pairs, so net charge is unchanged. The avalanche increases the number of free carriers and the conductivity of the gap; it does not create the energy those carriers carry, which is supplied by the electric field and by whatever maintains that field. The exponential Townsend law describes the avalanche stage before space charge dominates; streamer, glow and arc regimes require additional physics. Beyond the avalanche stage, the resulting plasma–sheath system is itself nonlinear and frequency-dependent. Established RF-plasma literature shows that simultaneous electrical components at different frequencies can modify sheath dynamics, carrier density, electron heating and power absorption; dual-frequency coupling can also produce sum and beat components. These are properties of the plasma interface as a physical class. They do not establish an additional energy source, nor do they establish the energy balance of VENDOR.Max.

Representative research and engineering literature: the foundational theory of ionization by collision[8]; the systematic physics of gas discharges[9]; an experimental study of argon breakdown using the Townsend coefficients and the breakdown criterion[10]; a review of the diagnostics of barrier discharges[11]; the physics of radio-frequency plasmas and their sheaths[12]; electron heating enhanced by dual-frequency excitation[13]; a dual-frequency atmospheric-pressure corona discharge[14]; a simulation of frequency mixing and electron dynamics in a dual low- and radio-frequency discharge[15].

Continue the search: Townsend avalanche · first Townsend ionization coefficient · Paschen law · dual-frequency discharge · plasma sheath · spark gap switching · Journal of Physics D.

The gas-filled discharge channel is the embodiment described in the published patent; the engineering architecture and hardware implementation of later revisions may differ from the illustrative embodiments described in the patent materials, while the physical principle is the same. Carrier multiplication is treated here as a source of carriers, not of energy. None of these publications tests VENDOR.Max — see Where Is the Plus.
04

Multiple discharge channels

What VENDOR discloses: according to the published patent, the architecture uses two or more parallel discharge channels with different breakdown voltages — three in the patent example — whose spectra are offset relative to one another within a range of 1–20 kHz.

Scientific territory: multi-gap and multi-channel switching; breakdown statistics and threshold behaviour; spectral overlap of repetitive excitation.

What the literature establishes: parallel discharge channels and multi-gap switches are an established engineering class in pulsed power; the number of channels that conduct, their synchronism and the resulting rise time depend on circuit, gap and pre-ionization conditions. More generally, dual- and multi-frequency discharge research shows that different frequency components can act on different parts of the same discharge dynamics and can interact nonlinearly rather than behaving as independent linear excitations. The literature documents these elements as separate classes. The specific composition described in the patent — channels with different breakdown voltages whose spectra overlap, so that neighbouring channels maintain spectral content near resonance when one channel drifts — is the patent’s own arrangement, not a result taken from this literature.

Representative research and engineering literature: the foundational treatment of multichannel switching[16]; multi-channel discharge in field-distortion switch gaps[17]; a two-gap switch comparing channel formation in a self-breakdown gap and in a triggered gap[18]; dual-frequency enhancement of electron heating[13]; coexisting frequency-dependent discharge modes in an atmospheric-pressure corona[14]; and LF–RF coupling with sum and beat components[15].

Continue the search: multichannel spark gap · multi-gap gas switch · breakdown jitter.

The 1–20 kHz figure is the offset between channel spectra stated in the patent, not a discharge repetition frequency; the values used in any hardware revision are not published. These publications document the multi-channel class; none of them tests VENDOR.Max — see Patent Portfolio.
05

Resonant field formation

What VENDOR discloses: the transmitting resonator of VENDOR.Max is designated in the project canon as a Tesla coil — in engineering terms, a Tesla transformer (Tesla coil), an air-cored resonant transformer. The high-voltage resonator forms a strong alternating field and holds the stored energy, amplitude and circulation of the regime. According to the patent, the resonant frequency of the primary circuit is 2.45 MHz.

Scientific territory: coupled resonant circuits; resonant transformers; transient and resonant dynamics of Tesla transformers.

What the literature establishes: a Tesla transformer is a two-coil resonant transformer — two air-coupled resonant circuits tuned to the same frequency; complete transfer of the stored primary state into the secondary occurs at discrete values of the coupling coefficient, over a transient of several oscillation cycles. “Tesla transformer” names a physical class; it does not determine a particular electrical behavior. Modern research continues to change topology, coupling, distributed geometry, operating regime and integration in order to obtain different electrical characteristics.

Representative peer-reviewed research, from analysis to the current frontier: transient dual-resonant analysis and optimal tuning[19]; the class definition[20]; semiconductor-controlled high-test-voltage implementations[21]; spiral transformers in repetitive nanosecond pulse generators[22]; planar arc-ignition transformers in industrial power supplies[23]; segmented mutual-inductance modeling for extremely high turns ratios[24]; a 500 kV generator designed in a deliberately off-resonance operating mode[25]; and a miniaturized triple-resonant Tesla-transformer pulse generator published in 2026[26].

Continue the search: Tesla transformer · air-cored resonant transformer · dual-resonant analysis · triple-resonant Tesla transformer · IEEE Transactions on Plasma Science.

VENDOR does not claim the Tesla-transformer class as new. The project-specific engineering question is how the transmitting resonator is configured and coupled within the larger composition. None of these publications tests VENDOR.Max — see How It Works and Patent Portfolio.
06

Coupling of switching and resonance

What VENDOR discloses: VENDOR.Max is started by a brief impulse and then runs in a sustained oscillatory regime. Switching and resonance form a closed regime loop through the charging path of the feedback: the field and the discharge are linked through that path rather than by direct application of the coil field to the gap. According to the published patent, positive feedback runs from the high-voltage winding through rectifiers back to the storage elements.

Scientific territory: self-oscillation; feedback oscillators; regenerative circuits; nonlinear coupling between discharge dynamics and resonant excitation; harmonic generation and plasma-series resonance; energy relations in nonlinear frequency conversion.

What the literature establishes: self-oscillation is an established class of dynamical systems — an active element and a feedback path maintain a durable oscillatory regime after a short initial action; the engineering lineage is documented from the 1914 patent and the 1915 IRE publication, and historians trace the continuous study of the class to the 1880s. Everyday members include the quartz timing references in watches, computers and communications equipment. In capacitively coupled RF discharges, the plasma–sheath system can exhibit nonlinear reactive behaviour: nonlinear sheath motion generates harmonics, plasma-series resonance can enhance them, and tailored multi-harmonic excitation can create electrical asymmetry and DC self-bias. For ideal nonlinear reactive elements, the Manley–Rowe relations provide classical energy constraints between interacting frequency components: frequency conversion redistributes energy between spectral components and does not constitute an independent energy source. Real gas-discharge systems may include dissipation, hysteresis and additional internal states, so those relations cannot be transferred directly to a VENDOR discharge channel without a corresponding model.

Representative scientific and engineering literature: the modern class review[27]; the foundational patent[28] and publication[29]; the peer-reviewed history of the concept[30]; dual-frequency enhancement of electron heating[13]; LF–RF coupling with sum and beat components[15]; plasma-series-resonance-enhanced harmonics[31]; electrical asymmetry and DC self-bias under tailored multi-harmonic excitation[32]; classical energy relations between frequency components in nonlinear reactive elements[33].

Continue the search: self-oscillation · regenerative circuit · limit cycle · Physics Reports · plasma series resonance · Manley–Rowe relations.

Historic regenerative oscillators include active elements and explicit sustaining conditions; the analogy stops at the class. Which conditions sustain the specific operating point of VENDOR.Max is established on the system itself, and none of these publications tests it — see First Open Engineering Question.
07

Coupled resonators

What VENDOR discloses: VENDOR.Max contains coupled resonant structures that are galvanically separated and interact through the electromagnetic field. The field transfers energy between local charge-carrier ensembles; carriers do not pass from one resonant structure into the other through this coupling.

Scientific territory: coupled resonators; resonant inductive coupling; voltage and current transformation in coupled resonant structures.

What the literature establishes: strong coupling of high-Q resonant states is analyzed theoretically; transfer between physically separated resonators is an experimental result; the limits of resonant coupling — coupling coefficient, stray field, efficiency versus distance — are the subject of critical review.

Representative peer-reviewed research: the theory of strongly coupled resonant states[34]; the direct experimental demonstration[35]; the critical review of limits[36].

Continue the search: resonant inductive coupling · coupled resonators mode splitting · wireless power transfer critical review.

These systems document the coupling class; no parameter transfers from them to any other system, and none of these publications tests VENDOR.Max — see VENDOR System.
08

Extraction changes the loaded state

What VENDOR discloses: VENDOR.Max uses a separate pickup circuit, galvanically separated from the resonant structures that excite it and coupled to them through the field. Connecting and loading this extraction path changes the state of the coupled system; extraction is therefore part of the loaded dynamics, not passive observation.

Scientific territory: loaded-resonator dynamics; compensation networks; load-independent output regimes; resonant energy transfer and extraction under load.

What the literature establishes: a separate engineering literature addresses how useful loaded resonant states are formed and maintained: compensation networks can bring multiple loops into simultaneous resonance, and selected operating regimes can make output voltage or current largely independent of load within a defined range. Here, “load-independent” refers to a selected output quantity; it does not mean that the load has no effect on the internal resonant state. For any particular system, the transfer rate and port voltage established under load remain system-specific measurement questions and cannot be transferred from the bibliography.

Representative peer-reviewed research: a compensation network bringing three loops into simultaneous resonance[37]; and load-independent constant-voltage or constant-current output obtained through operating-frequency selection[38].

Continue the search: compensation network · load-independent output.

These systems document the engineering of loaded resonant states; neither their parameters nor their topology can be transferred to VENDOR.Max by analogy, and none of these publications tests VENDOR.Max — see Where Does the Energy Come From.
09

Rectification and storage

What VENDOR discloses: downstream of the pickup circuit stand rectification, the main DC bus and a regulated output stage. After rectification the high-frequency extraction forms a directed flow, and the power capacitor integrates it into a directly measurable store, \(E_C = \tfrac{1}{2} C U^2\). What matches ordinary infrastructure equipment there is the output interface as a class, not the architecture and not the source.

Scientific territory: high-frequency rectification; resonant power conversion.

What the literature establishes: high-frequency rectification and resonant conversion form a subject-level engineering discipline with systematic methods of analysis and design, deployed from consumer power supplies to telecom −48 V rectifier plants.

Representative engineering literature: the standard monograph of the discipline[39].

Continue the search: resonant power converters · high-frequency rectifiers · switch-mode power supply design.

The discipline describes conversion; it does not describe any particular source, and this publication does not test VENDOR.Max — see How It Works and VENDOR System.
10

Operating point

What VENDOR discloses: VENDOR.Max does not operate by maximizing internal amplitude. Control moves the coupled system between bounded operating points: with no load it holds the minimum necessary regime, and when the load changes the excitation and extraction are restructured into a new operating point.

Scientific territory: nonlinear dynamical systems; stability of operating points; load-dependent equilibria; control of resonant power converters.

What the literature establishes: operating points, their stability, load-dependent equilibria and controlled transitions between bounded states are established concepts in nonlinear dynamics and power electronics. The specific implementation by which VENDOR.Max senses, selects and maintains its operating points is proprietary engineering and is not established by external literature.

Representative scientific and engineering literature: a standard text on nonlinear dynamics and the stability of operating points[40]; a standard text on power converters and their control[41].

Continue the search: operating point stability · nonlinear dynamics · resonant converter control.

The literature establishes the scientific class of controlled operating states; it does not describe or reproduce the VENDOR-specific operating-point law. Sensing topology, thresholds, setpoints, control laws and BBMS algorithms remain proprietary — see How It Works.
Verification bridge

Measurement and the boundary language

When the question changes — from how a process is organized to how much crosses a defined boundary — the language changes with it: measurement of the natural quantities of that boundary, the synchronously measured voltage and current at an electrical port. Measurable electric power quantities under sinusoidal, nonsinusoidal, balanced and unbalanced conditions are defined by the active standard IEEE Std 1459-2025[42]. Standards define how to measure; they do not establish the performance of a particular device.

The measurement discipline — see Active Power Metrology. The protocol and what has actually been demonstrated — see Technology Validation.

The boundary

Parts and composition

The literature establishes the building blocks. The engineering work is their composition. Measurement determines what the composition does. This page maps the physical mechanisms to established science. Energy Model develops the accounting and modelling framework for those mechanisms. Technology Validation defines how the assembled system is tested experimentally.

A Rubik’s cube makes the distinction tangible: its pieces, geometry and allowed moves are all known. That knowledge still does not give you a particular configuration or the sequence of moves that produces it. The pieces of this cube are not unknown physics — each chapter above ends in published, reviewable science. The VENDOR-specific subject is their composition: how the blocks are connected, sequenced, and held at their operating conditions.

Established literature supports the constituent physical classes; it does not establish the behavior of their specific VENDOR composition. What that composition actually does is not established by the bibliography — that is the job of Technology Validation.

Reference layer

Research references

Every scientific statement on this page rests on the sources below. None of them evaluates VENDOR.Max — that is the point.

References
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Deeper reading
  1. Galili I., Goihbarg E. Energy transfer in electrical circuits: a qualitative account. American Journal of Physics 73, 141 (2005) — the field picture of transfer in circuits
  2. Harbola M. K. Energy flow from a battery to other circuit elements: role of surface charges. American Journal of Physics 78, 1203–1206 (2010). DOI 10.1119/1.3456567 — the field picture made quantitative for an idealized circuit
  3. Nikzamir A., Capolino F. Highly sensitive coupled oscillator based on an exceptional point of degeneracy and nonlinearity. Physical Review Applied 18, 054059 (2022). DOI 10.1103/PhysRevApplied.18.054059 — coupled LC eigenmodes in current experiment
  4. Zhao Y. et al. Replacement of Marx generator by Tesla transformer for pulsed power system reliability improvement. IEEE Transactions on Plasma Science 47(1), 574–580 (2019). DOI 10.1109/TPS.2018.2873078 — Tesla transformer designed and tested within a pulsed-power architecture
  5. Gubanov V. P. et al. Periodically pulsed high voltage generator based on Tesla transformer and spiral forming line. PPPS 2001. DOI 10.1109/PPPS.2001.961021 — periodic high-voltage generation
  6. Zhao L., Li C., Su J. Fabrication of a 2.7-MV oil-immersed Tesla-transformer secondary winding. IEEE Transactions on Dielectrics and Electrical Insulation (2026) — winding geometry and insulation engineering as part of the attainable regime
  7. Sritakaew P., Silapunt R. Non-thermal sterilization of liquid foods via pulsed electric fields: a Tesla coil and multilevel inverter-based approach. Journal of Food Engineering 417, 113095 (2026). DOI 10.1016/j.jfoodeng.2026.113095 — process-technology application
  8. Lieberman M. A., Lichtenberg A. J. Principles of Plasma Discharges and Materials Processing, 2nd ed. Wiley, 2005. DOI 10.1002/0471724254 — plasma and sheath theory, RF power transfer and discharge energetics
  9. Bi Z.-H., Liu Y.-X., Jiang W., Xu X., Wang Y.-N. A brief review of dual-frequency capacitively coupled discharges. Current Applied Physics 11, S2–S8 (2011). DOI 10.1016/j.cap.2011.07.002 — dual-frequency discharges as an established class
  10. Kim D. B., Jung H., Gweon B., Moon S. Y., Rhee J. K., Choe W. The driving frequency effects on the atmospheric pressure corona jet plasmas from low frequency to radio frequency. Physics of Plasmas 18, 043503 (2011). DOI 10.1063/1.3574256 — discharge regime changing with driving frequency
  11. Kim D. B., Jung H., Gweon B., Choe W. Double streamer phenomena in atmospheric pressure low frequency corona plasma. Physics of Plasmas 17, 073503 (2010). DOI 10.1063/1.3456522 — polarity asymmetry of a discharge interface
  12. Auzas F., Tardiveau P., Puech V., Makarov M., Agneray A. Heating effects of a non-equilibrium RF corona discharge in atmospheric air. Journal of Physics D: Applied Physics 43, 495204 (2010). DOI 10.1088/0022-3727/43/49/495204 — transition from streamer inception to a stationary RF corona