The first open engineering question in VENDOR.Max.
Stage-by-stage, with literature.

§ 1 — Engineering classification

VENDOR.Max is an Armstrong-type nonlinear electrodynamic oscillator operating in a controlled discharge-resonant regime. The engineering classification is governed by classical electrodynamics, with macroscopic device-scale accounting under Level 1 of the Three-Level Energy Model reference. The architecture is patented under Spanish patent ES2950176B2 (granted) and PCT family WO2024209235A1 (active). The technology is positioned in the infrastructure continuity layer.

The first unresolved physics-integration node is whether the regime formed in the regime-forming path induces, through planar transformer coupling, sufficient real power in the regime-feedback path — after rectification, BMS routing, and buffer regulation — to compensate the real losses of the regime-forming path with a stability margin under the BMS-permitted operating window.

The proposition of this article is fourfold. First, every physical building block required by that integration node has independent published support in mainstream plasma-physics, electromagnetics, and power-electronics literature, with inline citation [1]–[9]. Second, the integration question itself is closable by independent boundary metrology and is the central focus of the next-stage validation programme. Third, the apparent numerical asymmetry between the 0.015 Wh transient startup and the hundreds-of-watts internal regime flow is resolved by recognising them as different categories of physical quantity. Fourth, the runaway/collapse stability problem of regenerative oscillators is solved by the BMS and its Buffer — a textbook engineering pattern with literature precedent in Armstrong's super-regenerative receiver [8] and in self-excited induction generator stabilisation [9].

§ 3 — The first open engineering question

Inside the architecture above, one integration node remains the first unresolved physics question.

The question. Does the regime formed in the regime-forming path induce, through planar transformer coupling, sufficient real power in the regime-feedback path — after rectification, BMS routing, buffer regulation, and return-path losses — to satisfy:

where P_feedback is the real power returned to the capacitive regime nodes C2.1–C2.3 through the regime-feedback path, P_loss is the real loss rate of the regime-forming path under operation, and P_margin is the stability reserve required to keep the regime inside its BMS-permitted operating window against drift, thermal variation, and load perturbation.

Three clarifications on what the question is not.

It is not "can the startup port directly power a kilowatt-scale load". The startup port is transient (~15 s) and electrically isolated once the regime is established.

It is not "does the device violate energy conservation". The boundary equation P_in,boundary = P_load + P_losses + dE/dt is the closure constraint at the complete device boundary at all operational states — and at that boundary only; internal stages have separate formulas (see § 6).

It is not "what is the device efficiency". A single whole-device converter-efficiency ratio is not the correct diagnostic for this multi-boundary architecture. Per-stage efficiencies remain valid and necessary.

What the question is: whether the specific integration of nonlinear conductivity switching, LC resonance, high-Q stored energy, planar transformer coupling, and BMS-controlled Buffer regulation achieves the feedback inequality inside the actual device.

§ 5 — What is not open physically

The elements below do not require new physics. Each is interpretable inside standard, published electrodynamics or standard power electronics. All of them still require device-specific characterisation and engineering validation.

• Energy conservation. The complete-device-boundary equation holds at all operational states.
• Nonlinear conductivity switching coupled to a resonant tank. A well-studied class of system [4][5]; class-level behaviour established [1][2].
• LC resonance and high-Q stored energy. Classical. Published high-Q resonator values reach into the hundreds and thousands [7].
• Inductive energy transfer. Faraday's law; figure of merit U = k √(Q₁ Q₂) [7].
• Regenerative feedback in active oscillators. Armstrong's regenerative-oscillator and super-regenerative-receiver work [8] established the engineering pattern over a century ago.
• Active buffer regulation in power electronics. Standard. DC-link buffer capacitors, battery-buffered self-excited induction generators [9], and active rectification with energy diversion are textbook power electronics.
• Rectification, DC-bus conditioning, output inversion. Standard power electronics. No novelty claim.
• Patent coverage. ES2950176B2 granted in Spain; WO2024209235A1 active in the PCT system.

What remains as the first physics-integration question is the specific inequality of § 3, evaluated inside the actual VENDOR.Max parameter combination.

§ 7 — The two-stage energy budget

The first open question lives entirely inside Stage one of a clean two-stage decomposition.

• Stage one — regime sustainment. P_feedback ≥ P_loss + P_margin. Internal to the regime-formation loop.
• Stage two — output extraction. Once Stage one is sustained, how much surplus is available for customer delivery.

This article addresses Stage one only.

§ 9 — Pixel-budget from independent published literature

9.1 — Nonlinear conductivity switching

The regime-forming path requires a fast nonlinear conductivity transition releasing capacitively stored energy into the primary resonant winding. The gas-discharge literature describes a broad family of such transitions. Townsend multiplication is a conductivity effect that multiplies carrier count, not energy. Per-event energy in any discharge gap is bounded by E_event ≤ ½ C V². The microscopic mechanism inside the sealed cells of VENDOR.Max is proprietary [Cat 4].

9.2 — LC resonance and high-Q stored energy

Per-cycle fractional loss in a resonant tank is 2π / Q. Published high-Q LC resonator literature reports values from hundreds to thousands routinely. Kurs et al. [7] report Q ≈ 950 for coupled resonant coils at MHz operating frequency.

9.3 — Self-excited plasma series resonance [1][2]

Schüngel, Brandt, Korolov, Derzsi, Donkó and Schulze studied self-excitation of plasma series resonance oscillations [1] and electron heating via self-excited PSR [2]. The class of phenomenon — nonlinear discharge regime self-exciting high-frequency oscillatory current structure — is independently established.

9.4 — Nonlinear power absorption and geometry [3]

Noesges and Mussenbrock identified stepwise increases in cumulative electron power density during sheath expansion associated with PSR excitation [3]. Geometry is a primary design parameter modulating power-absorption efficiency.

9.5 — Self-pulsing in dielectric barrier discharges [4]

Thagunna, Kolobov and Zank demonstrated multiple current pulses per AC period across Townsend and capacitively coupled discharge modes [4], with transitions depending on gap conditions and external circuit parameters.

9.6 — Multi-cell pulse synchronisation [5]

Shaygani and Adamiak demonstrated self-synchronised pulse trains through mutual electric-field and space-charge interactions in multi-point corona discharge systems [5].

9.7 — Measured pulse energies in discharge channels [6]

Elkholy et al. measured pulse energies of approximately 1.9 µJ and 2.7 µJ per channel [Cat 2] in a nanosecond DBD microplasma reactor [6].

9.8 — Resonant inductive coupling [7]

Kurs et al. demonstrated efficient mid-range power transfer at approximately 60 W with overall efficiency near 40% across approximately 2 m, with coupling coefficient k ≈ 0.001 and Q ≈ 950 [7]. Figure of merit U = k √(Q₁ Q₂).

9.9 — Regenerative feedback and buffered stabilisation [8][9]

Armstrong [8] established two foundational engineering patterns relevant to VENDOR.Max. The 1915-era regenerative oscillator demonstrated that positive feedback from a tuned output back to a nonlinear active element produces sustained oscillation with amplification orders of magnitude beyond passive circuits. The 1922 super-regenerative receiver introduced active runaway-prevention — a periodic quench that bounds the regenerative amplifier and keeps it within a stable operating envelope. The super-regenerative receiver demonstrated that a regenerative architecture with active stability control is a robust, deployable engineering pattern, not a theoretical curiosity.

The self-excited induction generator (SEIG) literature [9] demonstrates the same pattern in the power-engineering domain: a regenerative machine started by a small excitation and stabilised under load by capacitor self-excitation in combination with a battery or capacitor buffer that absorbs surplus and releases stored energy under transients. SEIG systems are a routine engineering technology in microgrids and remote-power applications.

For VENDOR.Max the relevance is conceptual: the BMS-and-Buffer pair is not a novelty class — it is a conceptually analogous control pattern to Armstrong's super-regenerative quench mechanism [8] and to capacitor/battery-buffered self-excitation in SEIG designs [9]. Armstrong's 1922 super-regenerative receiver used a periodic quench signal to drive the regenerative detector into and out of oscillation, bounding the regeneration on a discrete schedule. VENDOR.Max uses continuous bidirectional buffer regulation under closed-loop metrology — a different mechanism in the same class of solution. The Armstrong precedent demonstrates that bounded regenerative operation is a documented engineering pattern with over a century of literature; it does not assert that VENDOR.Max is a reimplementation of the super-regenerative receiver at MHz scale, which it is not.

§ 11 — The Boundary Management System and the Buffer

The integration core of the architecture is a pair of distinct elements placed between the planar transformer secondary and the capacitive regime nodes C2.1–C2.3:

• The Boundary Management System (BMS) — the active control element. It is the supervisory regulator that manages internal routing and operating-window stability while independent boundary closure is evaluated empirically at the complete device boundary, by routing internal flows under priority rules and by acting on real-time metrology data. It is a controller: it commands, schedules, and prioritises; it does not itself store or supply energy, and it does not — and cannot — enforce conservation laws. Conservation is a physical constraint of the complete device boundary; the BMS operates inside that constraint and supports its empirical verification.
• The Buffer — the physical bidirectional energy storage element managed by the BMS. It is implemented as a combination of battery cells, DC-link capacitors, and active-rectification electronics. It is the storage medium: it absorbs energy when commanded by the BMS, releases stored energy when commanded by the BMS, and holds state of charge in equilibrium.

The two are functionally distinct. BMS = controller, Buffer = controlled storage. The Buffer alone could not maintain the regime because there would be no decision logic. The BMS alone has no energy to redistribute because it has no storage of its own. The engineering integration is the pair.

11.1 — The BMS as primary architectural role

The BMS in VENDOR.Max is, primarily and architecturally, a Boundary Management System. Its function is to manage internal routing and operating-window stability — through closed-loop metrology acquisition and real-time decision logic — during empirical evaluation of boundary closure at the complete device boundary under accredited measurement. The BMS routes internal energy flows between three destinations: (a) to the capacitive regime nodes C2.1–C2.3, to sustain the regime-forming path; (b) to the Buffer, when the regime is at operating point and surplus exists; (c) to the output-extraction path, into rectification and inverter stages for customer delivery.

The BMS is a control element. It does not appear as a power-supply term in any architectural stage. It does not create energy. It is a supervisory negative-feedback regulator — a well-understood class of element in power-electronics literature.

11.2 — The Buffer as controlled storage element

The Buffer operates in three modes under BMS command:

• Inbound mode (regime sufficient or surplus). When the regime-feedback path returns more power than the capacitive regime nodes require for sustainment, the BMS routes the surplus into the Buffer. The capacitive node voltage is held at its operating point. The regime is slightly damped to prevent over-accumulation.
• Outbound mode (regime in deficit). When the regime-feedback path returns less power than required — for example, when the output-extraction path is drawing heavily under peak load — the BMS draws stored energy from the Buffer and returns it to the capacitive regime nodes. The regime is sustained against the transient.
• Equilibrium mode. When feedback supply and regime demand are matched, the Buffer holds its state of charge and the system runs at thermal equilibrium.

11.3 — The acronym, and why it is a cognitive trap

The acronym BMS is, in conventional power-electronics usage, Battery Management System — control logic that supervises a battery: state-of-charge balancing, over-voltage and under-voltage prevention, temperature management, cycle counting, charge-discharge orchestration. This is routine industrial practice, and the same function is performed inside the VENDOR.Max architecture because the Buffer contains battery cells.

But in the VENDOR.Max architectural sense, BMS is primarily Boundary Management System, not Battery Management System. The distinction matters because the cognitive trap is built into the acronym: a reader who expands "BMS" to "Battery Management System" sees a system that "manages the battery" (i.e., manages the Buffer), and the Buffer contains batteries, and the loop closes in on itself — the reader concludes that BMS is just industrial battery housekeeping. That conclusion misses the architectural significance entirely.

The correct reading hierarchy: (1) Primary function: Boundary Management. The BMS manages internal routing and operating-window stability through closed-loop metrology and decision logic, during empirical evaluation of boundary closure at the complete device boundary. This is the architectural role. The BMS does not enforce conservation laws; conservation holds independently. (2) Subordinate function: Battery Management. Because the Buffer contains battery cells, standard battery-management functions are performed by the BMS as routine supervision of one component of the Buffer. This is industrial convention. (3) The Buffer itself: the controlled object. Battery cells + DC-link capacitors + active-rectification electronics, treated as a single bidirectional storage element under BMS command.

11.4 — Why both elements are necessary

A regenerative architecture with positive feedback has exactly two failure modes without active stabilisation: runaway (under low load) and collapse (under peak load). § 13 develops the dynamics. Without the BMS the regime would be uncontrolled. Without the Buffer the BMS would have no place to route surplus and no reservoir from which to draw under deficit. The engineering integration is the pair: controller plus controlled storage. The control pattern — active bounding of a regenerative process — is conceptually analogous to Armstrong's super-regenerative quench mechanism (1922) [8] and to capacitor/battery-buffered self-excitation in SEIG designs [9]. It is a precedent for bounded regenerative operation through active control. It is not a reimplementation of those specific architectures, which operate at audio or 60 Hz scales rather than at MHz discharge-resonant scales.

§ 13 — The dynamic balance

The architecture is in continuous dynamic balance. This section describes the dynamics in scenarios — Layer 6 process behaviour under Layer 4/5 control.

13.1 — The runaway scenario, without the BMS and Buffer

Imagine the BMS and Buffer are removed and the regime-feedback path is connected directly to the capacitive regime nodes through only a rectifier. At nominal load, the regime-forming path discharges into the primary winding. The secondary induces real power that is rectified and dumped into C2.1–C2.3. The capacitive node voltage rises slightly. Higher node voltage produces a stronger discharge event (E_event = ½ C V²). The stronger discharge induces more secondary current. More secondary current produces still higher node voltage. The cycle amplifies until either a component fails or the regime locks at the supply rail.

This is the classical regenerative-oscillator runaway. Armstrong encountered it in 1912 with his regenerative receiver and solved it in 1922 with the super-regenerative architecture — by introducing active quench. VENDOR.Max faces the same problem and uses a continuous analog of Armstrong's solution: instead of periodically quenching the regeneration, the Buffer absorbs surplus at every operational state and the BMS damps the regime in real time.

13.2 — The collapse scenario, without the Buffer

Now the output-extraction path encounters a heavy load transient. The primary regime is loaded harder by the output-extraction path; the circulating energy in the primary tank drops. Less primary energy produces less secondary induced power. Less secondary power produces less rectified return to C2.1–C2.3. The capacitive node voltage droops. Lower node voltage produces weaker discharge events (E_event = ½ C V² falls quadratically with V). Weaker discharges produce less primary energy. The cycle decays until the regime collapses.

This is the classical regenerative-oscillator collapse under transient load. It is symmetric to the runaway problem. The same class of solution applies: a bidirectional energy buffer that can release stored energy quickly enough to sustain the regime during the transient.

13.3 — The balanced scenario, with the BMS and Buffer

Now restore the BMS and the Buffer between the secondary and C2.1–C2.3.

Under nominal load, the secondary delivers approximately 460 W of rectified feedback (illustrative budget of § 10). The regime requires approximately 231 W to compensate losses. The BMS routes approximately 231 W to C2.1–C2.3 to hold the regime at operating point and routes the remaining approximately 229 W into the Buffer. Buffer state of charge rises slowly. Capacitive node voltage held constant.

Under peak load, the output-extraction path draws harder. The primary regime is loaded more heavily, the secondary delivers less rectified feedback, and the regime would otherwise droop. The BMS detects the droop, draws stored energy from the Buffer, and augments the return flow to C2.1–C2.3 so the regime is held at operating point. Buffer state of charge falls.

Under low load, the output-extraction path draws less. The BMS detects the overshoot, diverts the excess into the Buffer, and slightly damps the regime by reducing the feedback delivered to C2.1–C2.3. Buffer state of charge rises.

This dynamic balance is the constant game of the architecture. It is the same class of balance maintained by the DC-link capacitor in any modern inverter, the capacitor bank in a self-excited induction generator [9], or the quench oscillator in Armstrong's super-regenerative receiver [8] — applied at the time scale of MHz discharge-resonant operation.

13.4 — What the Buffer is not

The Buffer is not the energy source of the device. Its state of charge is bounded; if the regime-feedback path were genuinely insufficient on average, the Buffer would discharge to zero and the regime would collapse. The Buffer can ride through transients of bounded duration; it cannot supply average power that the feedback path fails to provide.

The Buffer is not a hidden boundary input. It sits inside the device enclosure; it does not introduce any new boundary-crossing flow. The Buffer does not violate conservation. It stores energy delivered to it and releases energy from its store, with standard charge/discharge efficiencies subject to the constraints of battery and capacitor electrochemistry.

§ 15 — What remains proprietary

Effective capacitance and operating voltage of the regime nodes C2.1–C2.3. Internal geometry and microscopic conductivity mechanism of the sealed nonlinear conductivity cells. Effective quality factor of the regime-forming path under load. Coupling coefficient k_sec. Rectification topology, BMS operating-window logic, and Buffer capacity / sizing. Collapse threshold of the regime under load perturbation. Thermal and phase-stability characteristics under extended operation. Specific power level of the auxiliary supervisory input.

These parameters are Cat 4. They are documented internally and disclosed only under controlled technical review.

§ 17 — Misconceptions: what this article does not claim

The article does not claim energy creation, overunity, perpetual motion, free energy, self-sustaining operation, or any deviation from conservation of energy. It does not claim that the startup port supplies the operating power of the device. It does not claim that the auxiliary supervisory boundary input is the regime-sustaining energy path.

It does not claim that the BMS or the Buffer creates energy. The BMS is a control element; the Buffer is a bidirectional energy storage element. Neither is a source.

It does not claim that 0.015 Wh of startup energy creates hundreds of watts of continuous flow. The startup energy initiates a regime; the regime operation is maintained through bounded intra-boundary energy circulation under BMS control within the complete-device boundary accounting framework, with the Buffer as bidirectional storage; the boundary equation closes through separately accounted boundary terms.

It does not claim that any single cited paper proves the VENDOR.Max implementation. The cited papers establish independent published support for the class-level physical mechanisms and engineering patterns required by the architecture.

It does not claim a specific microscopic conductivity mechanism inside the sealed cells. That mechanism is proprietary (Cat 4).

What this article does claim: the entire engineering implementation is interpretable within standard electrodynamics and standard power electronics with one integration node remaining unresolved as a physics question; that node reduces to a specific inequality; each physical building block has independent published support [1]–[9]; the order-of-magnitude pixel-budget is satisfiable within commonly reported parameter ranges; the apparent asymmetry between transient startup quantum and steady-state internal regime flow is resolved by recognising them as different categories of physical quantity; the BMS and the Buffer together form the textbook engineering solution to regenerative-oscillator stability, with literature precedent at least a century old; the entire architecture maps stage-by-stage to published literature in § 14; the integration question will be closed empirically through independent boundary metrology.