The Parametric Oscillator

How Resonant Pumping Could Bridge the Pressure Gap — and What That Means for Free Energy

Stephen Horton | Independent Researcher | February 2026

What This Paper Is About

The companion papers on the Giza–Dahshur pyramid system propose that ancient engineers created a superconducting transmission network using hydrogen-ammonia compounds under pressure. The single biggest objection to that model is the pressure gap: modern laboratory experiments achieve hydrogen-ammonia superconductivity at hundreds of gigapascals — pressures so extreme they require diamond anvil cells. Underground limestone conduits, no matter how deep, cannot generate that kind of static pressure through geology alone.

This paper proposes a mechanism that could bridge that gap: parametric oscillation. The idea is simple in principle, though the physics gets interesting. Instead of squeezing the material harder (static pressure), you pump energy into it at the right frequency and let resonance do the work.

If this mechanism is valid, it has implications far beyond pyramid theory. It suggests a class of devices that could sustain useful energy output with only periodic input — not perpetual motion, but something practically close to it for the intervals between kickstarts.

1. What Is a Parametric Oscillator?

Start with a playground swing. A child pumps their legs — not at the swing’s natural frequency, but at twice that frequency. Each pump arrives at the right moment to add energy to the system. The swing goes higher. The energy in the system grows even though the input (leg pumping) is small relative to the output (the full arc of the swing). This is parametric amplification.

More precisely: a parametric oscillator is a system where energy is added not by pushing the oscillator directly, but by periodically varying one of the system’s parameters — its stiffness, its capacitance, its resonant frequency — at a specific relationship to the oscillator’s natural frequency (typically twice the natural frequency, or another harmonic ratio).

The key distinction from ordinary driven oscillation: in a driven system, you push at the resonant frequency and the amplitude grows linearly. In a parametric system, you modulate a parameter at the right harmonic relationship and the amplitude grows exponentially. Small input, large output, as long as the timing is precise.

This is not exotic physics. Parametric amplifiers are standard technology in microwave engineering, quantum computing, and optical systems. Every laser is a parametric device — a small amount of coherent light stimulates the emission of a much larger amount of coherent light from the gain medium. The principle is well-established. The question is whether it applies to the pressure conditions relevant to superconductivity.

2. Parametric Pressure: Resonance Instead of Static Force

Here is the core idea as applied to the pyramid model.

The hydrogen-ammonia compounds in the underground conduits exist at whatever static pressure the geological depth and hydrostatic column provide. Call this the baseline pressure. It is significant — a 600-meter water column provides roughly 60 atmospheres — but it is nowhere near the hundreds of gigapascals achieved in diamond anvil cells.

Now consider what happens if the system generates acoustic or electromagnetic oscillations at frequencies that match the natural resonant modes of the conduit and its contents. The conduit is a tube. Tubes have resonant frequencies. The material inside the tube has compressibility. The pyramid above is a resonant cavity coupled to Earth’s own resonant frequencies.

If oscillatory pressure waves propagate through the conduit at the right frequency, the material inside experiences not just the baseline static pressure but periodic pressure peaks that can far exceed the baseline. This is how ultrasonic cavitation works — sound waves in a liquid create localized pressure spikes sufficient to collapse bubbles with temperatures reaching thousands of degrees and pressures reaching thousands of atmospheres, all from a modest acoustic input.

The parametric version of this is more powerful still. If the acoustic driving frequency is tuned to twice the natural compressional frequency of the hydrogen-ammonia compound in the conduit, the pressure oscillations amplify parametrically. Each cycle adds energy to the compression wave rather than dissipating it. The effective pressure at the antinodes of the standing wave can reach multiples of what the static baseline would suggest.

The question is whether parametric acoustic amplification in a resonant conduit could generate effective pressures sufficient to push hydrogen-ammonia compounds into their superconducting phase — even if only at localized nodes along the conduit, even if only during peak compression phases. If superconductivity is achieved at periodic nodes, those nodes could function as superconducting segments in a transmission line, with the non-superconducting segments kept short enough that resistive losses remain manageable.

This is the hypothesis. It has not been experimentally verified. But it is grounded in well-established parametric oscillation physics applied to a new context, and it generates testable predictions.

3. The Pyramid as Parametric Pump

In the Giza–Dahshur model, the parametric pump is the pyramid itself.

The Great Pyramid is a resonant cavity. It is coupled to Earth’s Schumann resonances through the dielectric waveguide mechanism described in the companion paper. The Schumann fundamental at 7.83 Hz and its harmonics represent the driving frequencies. The pyramid’s internal geometry — the Grand Gallery, the chambers, the so-called air shafts — determines which modes are amplified and at what frequencies.

If the pyramid generates coherent acoustic and electromagnetic oscillations at these frequencies, and if those oscillations propagate into the underground conduit system, then the conduit contents experience parametric pumping. The pyramid is not just a power generator and chemical reactor. It is the parametric pump for the transmission system.

This reframes the extreme precision of the pyramid’s construction. Parametric amplification is exquisitely sensitive to frequency matching. A small error in the driving frequency relative to the system’s natural frequency collapses the exponential gain back to linear or even destroys the effect entirely. The pyramid’s 0.001% precision is not overkill — it is the tolerance required for parametric resonance to function.

4. The Free Energy Question

Here is where it gets interesting beyond pyramid theory.

A parametric oscillator, once pumped above its oscillation threshold, can sustain oscillation with remarkably little ongoing energy input. The energy in the system is not coming from nothing — it is being extracted from the pump source — but the ratio of useful output to required input can be very large. In optical parametric oscillators, gain factors of 10,000 or more are routine.

Now consider a system where:

A galvanic cell (battery) provides the initial energy input.
That energy drives electrolysis, producing hydrogen.
The hydrogen rises through resonant shafts, contributing to the acoustic/electromagnetic oscillation of the system.
The pyramid’s resonant coupling with Earth’s Schumann cavity provides continuous low-level parametric pumping.
The parametric amplification sustains the conditions (pressure, coherent oscillation) necessary for the superconducting transmission medium to function.
The superconducting medium delivers power back to the system with zero loss, completing the loop.

This is a bootstrap loop with parametric amplification at its core. The galvanic cell provides the kickstart. The parametric resonance provides the gain. Earth’s Schumann cavity provides a continuous, ambient energy source that the system taps through resonant coupling.

Is this free energy? No. Energy is conserved. The system draws from the chemical potential of the galvanic cell (which is consumed over time and must be replenished) and from the electromagnetic energy present in Earth’s resonant cavity (which is continuously replenished by global lightning activity — roughly 2,000 thunderstorms are active at any given moment, pumping energy into the Schumann cavity).

Is it practically close to free energy? Potentially. If the parametric gain is high enough, the system could run for extended periods on a single chemical charge. The Schumann cavity is an ambient energy source that requires no fuel. The superconducting transmission loses no energy. The parametric amplifier extracts more useful work from each unit of input than a non-resonant system.

The analogy is a well-designed flywheel. You spin it up (kickstart), and it runs for a very long time because the losses are minimal. The parametric oscillator version of the pyramid system is a flywheel where the losses are not merely minimized but partially offset by continuous ambient energy input from the planetary resonant cavity.

The practical question is: how long between kickstarts? If the parametric gain and the Schumann coupling are sufficient, the answer could be months or years — long enough to make the system functionally self-sustaining for all practical purposes, even though it technically requires periodic maintenance (replenishment of the galvanic cell electrolyte, acid spiking, etc.).

5. Why This Hasn’t Been Built (Yet)

If parametric oscillation can bridge the pressure gap and tap ambient planetary energy, why hasn’t someone built a modern version?

Several reasons:

The physics is scattered across disciplines. Parametric oscillation is well-understood in optics and microwave engineering. Superconductivity is a condensed matter physics specialty. Dielectric waveguide theory lives in electrical engineering. Schumann resonance research sits in atmospheric physics. Piezoelectricity is materials science. Nobody has had a reason to put all of these together into a single system design — until the pyramid hypothesis provides a candidate architecture that requires all of them simultaneously.

The Schumann coupling has never been engineered. Tesla attempted it. The physics says it should work. But no one has built a structure specifically designed to maximize parametric energy extraction from the Earth-ionosphere cavity. The pyramid hypothesis suggests that this has been done before, and that the design requirements are stringent (precise geometry, specific materials, dielectric layering).

Superconducting hydrogen-ammonia compounds were only theoretically predicted in 2024. The specific chemistry that makes the transmission medium possible was not known to modern science until last year. Research on these compounds is in its infancy.

The combination is the innovation. Each component technology exists or is being developed. What does not yet exist is the integration — a single system that combines galvanic electrochemistry, parametric acoustic amplification, dielectric waveguide Schumann coupling, piezoelectric transduction, and hydrogen-ammonia superconductivity into a self-reinforcing loop. The pyramid hypothesis provides a blueprint. Whether that blueprint is viable is an engineering question that deserves investigation.

6. Testable Predictions

The parametric oscillator hypothesis generates predictions beyond those in the companion papers:

Acoustic resonance in pyramid chambers. If the pyramid functions as a parametric pump, its chambers should exhibit strong acoustic resonance at Schumann harmonic frequencies. This is testable with standard acoustic measurement equipment.

Pressure amplification in resonant tubes. Laboratory experiments could test whether parametric acoustic pumping of a sealed tube containing hydrogen-ammonia compounds at moderate baseline pressure can generate localized pressure peaks sufficient to induce phase transitions consistent with superconductivity. This does not require building a pyramid — it requires a resonant tube, an acoustic driver at the correct harmonic relationship, and a diamond anvil cell’s worth of diagnostic equipment to measure the results.

Schumann energy extraction. A structure designed to maximize dielectric waveguide coupling with the Earth-ionosphere cavity should exhibit measurable energy extraction from the Schumann field. This could be tested with a properly designed resonant cavity experiment at any location.

Parametric gain measurements. The gain factor of acoustic parametric amplification in hydrogen-ammonia compounds under moderate pressure could be measured directly, providing the data needed to calculate whether the pressure gap can be bridged.

7. Conclusion

The pressure gap between laboratory superconductivity experiments and what geological conditions can provide is real and significant. This paper proposes that parametric oscillation — the amplification of pressure through resonant pumping rather than static mechanical compression — offers a physically grounded mechanism to bridge that gap.

The pyramid, in this model, is not merely a chemical reactor or a battery. It is a parametric oscillator — a resonant amplifier that extracts energy from Earth’s ambient electromagnetic field and focuses it, through precise geometric design, into the conditions required for its transmission medium to function.

This reframes the entire system. The precision of the pyramid is not about construction pride. It is about parametric resonance tolerances. The connection to Schumann frequencies is not mystical. It is the pump frequency. The self-sustaining character of the system is not magical. It is the expected behavior of a well-designed parametric oscillator coupled to an ambient energy source.

Whether the ancient system actually worked this way is a question for experimental verification. But the physics of parametric oscillation is well-established, the ambient energy source (Schumann cavity) is real and continuously replenished, and the specific chemistry (hydrogen-ammonia superconductivity) has been theoretically validated. The question is not whether the components exist. The question is whether they can be integrated — and whether anyone will fund the experiment to find out.

References

Louisell, W.H. (1960). Coupled Mode and Parametric Electronics. Wiley.

Wang, X., et al. (2024). Superconductivity in Dilute Hydrides of Ammonia under Pressure. Journal of Physical Chemistry Letters, 15(22), 5947–5953.

Schumann, W.O. (1952). Über die strahlungslosen Eigenschwingungen einer leitenden Kugel. Zeitschrift für Naturforschung A, 7(2), 149–154.

Tesla, N. (1905). The Transmission of Electrical Energy Without Wires. Electrical World and Engineer, January 7, 1905.

Dunn, C. (1998). The Giza Power Plant: Technologies of Ancient Egypt. Bear & Company.

Horton, S. (2026). The Giza–Dahshur Superconducting Grid. [Companion paper].

Horton, S. (2026). The Bootstrap Engine. [Companion paper].