Voltage and Current in Pressure-Based Theory (PBT): Electricity as Subatomic Pressure Flows in an Infinite Pressurized Medium

By Matthew Foutch
SolveTheUniverse.com
April 2026

Pressure-Based Theory (PBT) models our observable universe as an infinite pressurized bubble filled with ultra-high-speed, infinitely small, infinitely numerous subatomic particles. These particles behave like an ultra-dense, incompressible “gas” or fluid in constant motion, exerting pressure everywhere. There is no true vacuum — only local pressure imbalances within this infinite medium. All fundamental forces, including gravity (as a push system), magnetism, light, radiation, and now electricity, arise mechanically from the flows, bounces, and pressure gradients of these particles.

This article extends PBT to electricity by treating voltage as a measure of relatively low subatomic pressure and current as the pipeline-like movement of high-pressure subatomic gas from regions of higher pressure to lower pressure. It directly builds on the site’s existing framework (see the core PBT page and the PBT Ref Guide) and provides an intuitive mechanical picture that unifies with the theory’s other components: PBT Pressure, PBT Infinity, PBT Subatomic Particles, PBT Magnetism, and PBT Electricity.

The Mechanical Picture: Voltage as Low Pressure, Current as Pipeline Flow

In PBT, a voltage source (battery, generator, power supply) does not “create charge” or “pump electrons” in the conventional sense. Instead, it maintains a local pressure deficit at one terminal relative to the surrounding medium or the opposite terminal.

• Voltage (V) = the pressure difference (ΔP) between two points in the subatomic particle medium.
  It represents potential — the possibility of flow created by a low-pressure region. The greater the pressure imbalance, the higher the voltage.

• Current (I) = the organized pipeline flow of subatomic particles (the “high-pressure gas”) through a conductor (wire).
  Particles stream from the high-pressure region to the low-pressure region exactly as gas or liquid flows through a pipe driven by a pressure gradient. The visible drift of electrons is simply the macroscopic signature of this underlying subatomic flux.

Because the medium is infinite in all dimensions, the high-pressure reservoir is inexhaustible and the low-pressure “sink” can be sustained indefinitely. The system never runs out of particles, and global equilibrium is never reached — only local redistributions occur. This infinite supply is what allows steady DC currents or sustained AC oscillations without the entire universe equalizing.

This framing is fully consistent with PBT’s core postulate: everything observable is driven by pressure imbalances and particle flows in the infinite pressurized bubble.

Why Inductors and Capacitors Behave Oppositely: The “Eli the Iceman” Mnemonic in PBT Terms

The classic mnemonic “ELI the Iceman” (voltage E leads current I in an L inductor; current I leads voltage E in a C capacitor) now has a direct mechanical explanation in the pressure-gas model:

• Inductor (Voltage leads current — E leads I):
  Apply voltage first → you instantly create a pressure gradient (low-pressure region). But the subatomic particles must accelerate against the background motion and organized “inertia” of the infinite medium. The growing magnetic field is the visible effect of this organized particle flow pushing through the medium.
  Result: The pressure difference (voltage) appears immediately, but the actual pipeline flow (current) builds up more slowly. Exactly like opening a valve on a long pipe filled with heavy fluid — pressure is there, but flow lags.

• Capacitor (Current leads voltage — I leads E):
  Particles rush into the plates immediately to equalize the pressure difference. Current spikes right away as the “gas” flows to one plate and is depleted from the other. Voltage (pressure difference across the plates) only builds afterward as accumulation/depletion occurs.
  Exactly like filling one side of a tank while emptying the other — flow happens first, pressure difference appears second.

In both cases the 90° phase shift is not mysterious; it is the natural consequence of what gets established first in the pressure medium: the gradient (voltage) or the organized flow (current).

Advantages of the Infinite Model

• No depletion: Batteries and generators can maintain gradients indefinitely because the particle reservoir is infinite.
• No singularities or runaway effects: Local imbalances are sustainable without violating conservation at the universal scale.
• Unification: The same pressure-flow mechanics that explain gravity (push from particle imbalances) and magnetism (organized toroidal flows) now explain electricity without extra postulates.

Testable Calculation Strategies: How to Prove (or Falsify) the PBT Electricity Model

PBT is designed to be falsifiable. Here are concrete, calculable strategies to test the voltage-as-low-pressure / current-as-pipeline-flow picture. These can be performed with standard lab equipment, fluid analogs, or simulation tools and compared against conventional Maxwell/Ohm predictions.

1. Fluid-Dynamic Analogy Derivations (Analytical)
   Treat the wire as a pipe and the subatomic medium as an incompressible fluid. Use the pressure-flow equivalent of Poiseuille’s law:
   $$I = \frac{\pi r^4 \Delta P}{8 \eta L}$$
   where ΔP is the pressure difference (voltage scaled by a PBT conversion factor), r = effective “pipe” radius, η = medium viscosity (derived from particle density/speed in PBT Ref Guide), L = length.
   Test: Derive DC resistance R from known wire geometry and measured particle properties (or fitted constants). Compare predicted I vs. measured current. Deviation at extreme currents/temperatures would support or refute the particle-flow model.

2. Inductance from Particle Inertia (L Calculation)
   Inductance L arises from the time required for particle flow to overcome medium inertia. Approximate:
   $$L \approx \frac{\mu_0 N^2 A}{l} \times k_{\text{PBT}}$$
   where k_PBT is a factor incorporating infinite-medium background pressure and particle speed (calculable from PBT infinity assumptions).
   Testable: Build simple solenoids, measure inductive reactance X_L = 2πfL at various frequencies, and back-solve for k_PBT. Predict how L changes in different background media (e.g., vacuum chamber vs. pressurized gas cell) and compare.

3. Capacitance from Pressure Accumulation (C Calculation)
   Capacitance C is the rate at which particle accumulation changes the pressure difference across plates:
   $$C = \frac{Q}{\Delta P}$$
   with Q proportional to particle flux integrated over time.
   Testable: Charge a capacitor at constant current and plot voltage rise. Fit the curve to PBT accumulation equations. Predict frequency-dependent behavior in AC circuits and verify phase lead.

4. AC Phase-Shift Verification with Eli the Iceman
   In an RL or RC circuit, measure exact 90° phase relationships using an oscilloscope.
   PBT prediction: The phase lead/lag must match the pressure-build vs. flow-build times derived from particle density and speed constants in the PBT model. Any deviation outside measurement error falsifies the analogy.
   Extend to RLC resonance: calculate resonant frequency from pressure-flow time constants instead of standard LC formulas and test empirically.

5. Simulation Strategies (Numerical)
   Use Python/SymPy or COMSOL Multiphysics to model a 2D/3D “particle gas” under pressure gradients with infinite-boundary conditions (constant far-field pressure). Simulate wire, inductor, and capacitor geometries.
   Output: predicted V-I curves, phase plots, and power dissipation. Compare directly with bench measurements. Code example skeleton available on request for site visitors.

6. Extreme-Condition Tests (Falsifiability)

   • High-vacuum or cryogenic environments: If PBT is correct, reduced background particle density should measurably alter inductance/capacitance values beyond standard predictions.
   • High-current superconductors: Predict whether “perfect” flow occurs only when particle drag drops below a PBT threshold.
   • Compare with the August 2025 PBT paper’s gravitational-drag predictions (< 10⁻¹⁹ m/s²); electrical analogs should show correspondingly negligible “particle drag” in steady state.

These calculations are fully mechanical and rely only on pressure, particle properties, and infinity — no probabilistic wave functions or action-at-a-distance fields required. Results that match standard electrical laws while providing deeper mechanical insight would support PBT; measurable discrepancies (especially in phase or extreme regimes) would falsify it.

Next Steps and Invitation

This pressure-flow model for electricity slots cleanly into the existing PBT framework and brings us one step closer to a complete mechanical unification of all forces. The site’s PBT Ref Guide already supplies the necessary constants and infinity-handling methods; the strategies above give experimenters and theorists concrete ways to test the ideas today.

Comments, derivations, simulation code, or lab data are welcome below or via the contact form. If you have extensions (e.g., how batteries maintain the pressure gradient, or PBT explanations of semiconductors), submit them — collaboration is the point of SolveTheUniverse.com.

References

• Pressure-Based Theory main page (solvetheuniverse.com/p/pressure-based-theory.html)
• PBT Testable Hypotheses paper (vixra August 2025)
• Related PBT components: Pressure, Subatomic Particles, Infinity, Magnetism, Electricity