Quantum Tunnelling
Author: Mark Higgins
Revised Date: 9th March 2026
Audio Overview
Passing Through the Impossible
One of the most striking phenomena in quantum physics is quantum tunnelling—the ability of particles to pass through energy barriers that classical physics predicts they should not be able to cross.
In classical mechanics, a particle encountering a barrier must possess sufficient energy to climb over it. If the particle’s energy is lower than the barrier height, it simply reflects and cannot proceed further.
Quantum experiments reveal a different behaviour. Particles can sometimes appear on the opposite side of a barrier even when they lack the energy required to overcome it.
This effect is not merely theoretical. Quantum tunnelling plays a crucial role in many physical processes, including nuclear fusion in stars, electron transport in semiconductors, and scanning tunnelling microscopy.
The Holographic Space-Time framework offers a structural interpretation of why tunnelling occurs.
Wavefunctions and Barrier Penetration
In conventional quantum mechanics, tunnelling arises because particles are described by wavefunctions rather than precise trajectories.
The wavefunction representing a particle extends across space, including regions that classical physics would consider inaccessible. Within a potential barrier, the amplitude of the wavefunction decreases exponentially but does not vanish entirely.
If the barrier is thin enough, the wavefunction can extend through it and produce a non-zero probability of the particle appearing on the other side.
While mathematically precise, this explanation leaves an intuitive gap: what physical mechanism allows the particle to appear beyond the barrier?
Coherence Across Boundaries
Within the HST framework, particles are interpreted as localized coherence structures propagating through boundary networks.
These structures do not follow single deterministic paths. Instead, their coherence can distribute across multiple relational pathways within the underlying geometry.
When a particle encounters a barrier, the boundary conditions of the system restrict which coherence pathways remain stable.
Some pathways reflect from the barrier, while others allow coherence to extend across the boundary region.
If a coherent pathway exists that connects the regions on either side of the barrier, even weakly, the particle’s coherence structure can re-align along that pathway.
This re-alignment appears to observers as tunnelling.
Barrier Thickness and Coherence Decay
The likelihood of tunnelling depends strongly on the thickness and height of the barrier.
Within the coherence framework, barriers correspond to regions where the boundary network suppresses stable propagation pathways. Coherence entering such a region gradually loses alignment with the surrounding structure.
If the barrier is sufficiently thick, coherence decays before a viable pathway to the other side can form, preventing tunnelling.
If the barrier is thin enough, residual coherence alignment can persist across the boundary region, allowing the particle’s coherence structure to re-establish itself on the far side.
The probability of tunnelling therefore reflects how strongly coherence can maintain alignment across the barrier geometry.
Phase Realignment
An important aspect of tunnelling is that the particle’s wavefunction undergoes a shift in phase as it passes through the barrier.
Within the HST interpretation, this phase shift corresponds to the realignment of coherence within the boundary network.
As the coherence structure traverses a region where normal propagation is suppressed, it adjusts to the altered boundary conditions before stabilising again in the region beyond the barrier.
The resulting phase difference influences how the tunnelling particle interferes with other coherence pathways.
Real-World Manifestations
Quantum tunnelling is not merely a curiosity—it plays a vital role in many physical systems.
In stars, nuclear fusion occurs partly because protons can tunnel through the electrostatic barrier that would otherwise prevent them from approaching closely enough to fuse.
In electronic devices, tunnelling allows electrons to move through thin insulating layers, enabling technologies such as tunnel diodes and flash memory.
Scanning tunnelling microscopes exploit this effect to measure atomic surfaces with extraordinary precision, detecting electrons tunnelling across extremely small gaps.
These phenomena demonstrate that tunnelling is a fundamental feature of how coherence propagates through boundary structures.
Tunnelling and Geometry
The HST framework emphasises that tunnelling depends not only on energy but also on the geometry of the boundary network.
The arrangement of boundaries determines whether coherent pathways remain accessible across regions that would otherwise appear forbidden.
When geometry permits even weak coherence alignment between two regions, tunnelling becomes possible.
Thus tunnelling reflects the deeper relational structure of the coherence network rather than a violation of classical energy constraints.
From Probability to Structure
In standard quantum mechanics, tunnelling is described purely in terms of probability amplitudes.
The HST interpretation provides a structural picture behind these probabilities.
The probability of tunnelling corresponds to the strength of the coherence pathway connecting the two regions across the barrier.
Strong alignment produces higher tunnelling probability. Weak alignment produces lower probability.
In this way, quantum tunnelling becomes the observable result of coherence navigating the relational geometry generated by boundary systems.
A Window Into Quantum Dynamics
Quantum tunnelling illustrates how deeply quantum behaviour is tied to the structure of coherence within boundary networks.
Particles do not simply follow classical trajectories constrained by local energy barriers. Instead, their coherence structures explore the relational geometry of the surrounding system.
When that geometry permits alignment across a barrier, tunnelling occurs.
Through this perspective, tunnelling becomes not a mysterious violation of classical rules but a natural consequence of coherence interacting with boundary geometry.
Quantum tunnelling allows particles to pass through energy barriers that classical physics predicts should be impossible to cross.
This chapter interprets tunnelling through the Holographic Space-Time framework, where particles propagate as coherence structures across boundary networks and can realign along pathways that extend through constrained regions.
If the boundary geometry allows even weak coherence alignment across a barrier, the particle’s coherence structure can re-establish itself beyond it, producing the phenomenon observed as quantum tunnelling.
