Electron-Positron Annihilation and Pair Production (RQM Perspective)
Standard Physics View
In standard physics, an electron and positron may form a short-lived positronium state before annihilating into photons:
or less commonly
The reverse process is also observed:
provided sufficient energy and suitable kinematic conditions are present.
The observed products conserve energy, momentum and angular momentum.
RQM Interpretation
RQM does not primarily interpret the process as the destruction or creation of matter.
Instead, it is viewed as a transition between different resonance topologies.
Fundamental Assumptions
A photon consists of two complementary sonons:
where the symbols s⁺ and s⁻ denote opposite resonance helicities (RH/LH) and are not identical to electrical charge.
A stable electron corresponds to a confined three-sonon resonance:
A stable positron corresponds to the complementary configuration:
Only these mixed-helicity configurations are currently assumed to form stable closed three-dimensional resonance loops.
This emerges from the RQT view of a 3 dimensional resonance loop. Such a resonance loop forms a closed 3D trajectory with two axis with the same handedness and a third axis with the oposite handedness.
Positronium as a Resonance Locking State
When an electron and positron approach each other, complementary resonance channels begin to couple.
The combined system contains:
e⁻ + e⁺
= (s⁻ s⁻ s⁺)
(s⁺ s⁺ s⁻)
= 3 s⁺ + 3 s⁻
At locking distance one complementary pair forms a confined resonance bridge:
This bridge is not considered a photon because it exists at locking distance rather than propagation distance. Their external channels eventually reach a confined state.
The remaining resonance channels remain partially open.
This intermediate configuration corresponds to positronium.
Two-Photon Annihilation
After one bridge has formed:
3 s⁺ + 3 s⁻
↓
bridge: (s⁺ s⁻)
remain: 2 s⁺ + 2 s⁻
The remaining four sonons might naturally separate into two propagating resonance pairs:
which are observed as two photons.
Thus:
The process is therefore interpreted as a reorganization of resonance channels rather than annihilation. The photons might de-couple from the three dimensional resonance nodes when the e+/e- compound reaches some specific symmetry state.
Why Two Photons?
The dominant two-photon channel emerges naturally from sonon counting:
3 s⁺ + 3 s⁻
− bridge
= 2 s⁺ + 2 s⁻
= γ + γ
The two photons emerge in opposite directions in order to preserve the momentum balance of the original positronium state.
Three-Photon Annihilation
Experimentally, three-photon annihilation also occurs.
Within RQM this is currently interpreted as an alternative lock-in sequence.
Proposal:
A single resonance pair may separate before complete closure of the bridge-channel has been achieved.
One photon is emitted early while the remaining resonance structure continues to reorganize.
Subsequent release of the remaining channels then produces two additional photons.
Symbolically:
e⁻ + e⁺
↓
γ + residual structure
↓
γ + γ + γ
Unlike the two-photon channel, the energies of the three photons are not fixed and may be distributed continuously while conserving total energy and momentum.
This agrees qualitatively with observation.
Resonance Energy Interpretation
The electron rest energy is interpreted as internally confined resonance energy.
The observed annihilation photons therefore carry away the released confinement energy of the former electron and positron structures.
A decoupling occures as soon as the oscillations within the three dimensional electron resonance node have fully re-distributed into two channels and one channels reaches a 0 oscillatory energy.
In this picture:
does not disappear.
Rather:
confined resonance
↓
propagating resonance
The total resonance content remains preserved.
Pair Production
The reverse process is interpreted as resonance capture.
Two photons approaching with suitable geometry and sufficient energy may overlap and form a temporary four-sonon configuration:
The photon spans collapse while a third resonance dimension becomes accessible.
The sonons reorganize into:
e⁻ = s⁻ s⁻ s⁺
e⁺ = s⁺ s⁺ s⁻
The resulting electron and positron then separate carrying the remaining momentum.
Thus:
is interpreted as the emergence of confined three-dimensional resonance circulation from initially propagating two-dimensional resonance structures.
Open Questions
Electron Rest Energy
Why does the stable three-sonon resonance contain exactly the observed electron rest energy?
Positronium Lifetimes
Can the observed para- and ortho-positronium lifetimes be derived from different lock-in geometries?
Three-Photon Branch
What specific resonance topology produces the observed three-photon channel?
Photon Polarization
How do polarization and spin emerge from the underlying sonon geometry?
Pair Production Threshold
What exact geometric and energetic conditions allow the transition from propagating photon pairs to confined electron structures?
Resonance Channel Closure
Why does one sonon pair form a confinement bridge while the remaining pairs separate as photons?
Summary
RQM interprets electron-positron annihilation as a resonance-topology transition.
No fundamental structure is destroyed.
Electron and positron resonance loops reorganize through a temporary positronium locking state.
One complementary sonon pair forms a confinement bridge while the remaining sonons separate into propagating resonance pairs.
The observed photons therefore represent released resonance channels rather than newly created particles.
The reverse process, pair production, corresponds to propagating resonance pairs reorganizing into confined three-dimensional resonance circulation.
Additional Resonance-Node Interpretation
Resonance Nodes
Within this model, resonance nodes are interpreted as locked directional resonance channels embedded in three spatial dimensions.
A stable electron corresponds to a closed three-dimensional resonance circulation. Each resonance channel contributes to the persistence of the structure and to its effective inertia.
Under normal conditions these channels remain locked. In rare situations, however, a resonance node may gradually untangle from its locked configuration.
Transition from 3D to 2D Resonance
A key proposal of the model is that a resonance channel can only separate if one of the three internal resonance directions approaches a state of zero resonance energy and therefore vanishing frequency or phase progression.
When one resonance dimension reaches:
f → 0
the remaining resonance structure becomes purely planar.
The result is a propagating two-dimensional resonance structure identified with a photon.
In this interpretation:
- electron = confined 3D resonance circulation
- photon = propagating 2D resonance pair
The photon therefore emerges when one spatial resonance dimension has effectively disappeared from the confined structure.
Why Electron-Positron Systems Are Special
When an electron and positron approach locking distance, they may form a temporary compound state sharing a common resonance center.
The proposal is that the combined system can progressively redistribute its internal resonance energy until one common resonance dimension reaches complete cancellation.
Symbolically:
e⁻ + e⁺
↓
shared resonance center
↓
cancellation of one resonance dimension
↓
planar resonance pairs (photons)
The annihilation process is therefore interpreted not as destruction of matter but as the disappearance of one confined resonance dimension.
The remaining resonance channels become free to propagate.
Symmetry of the Electron-Positron Compound
The electron-positron system is unique because the exposed resonance channels appear complementary.
In the sonon notation:
e⁻ = s⁻ s⁻ s⁺
e⁺ = s⁺ s⁺ s⁻
The combined system contains equal numbers of s⁺ and s⁻ channels.
This allows the possibility of reaching a highly symmetric resonance configuration in which one resonance dimension can completely cancel.
The remaining channels then separate as propagating resonance pairs.
Why Electron-Electron Systems Behave Differently
For an electron-electron compound:
e⁻ + e⁻
the remaining resonance structure contains unmatched channel combinations (s⁺ s⁺ / s⁻ s⁻). This will leave open e-span resonance residuals. Not allowing creation of confined photons.
Instead of progressing toward complete resonance cancellation, the system tends toward a stable opposite configuration.
The required symmetric cancellation state is not naturally available.
Consequently:
- annihilation is not expected (statistically),
- the resonance channels remain confined,
- the structure tends toward scattering or stable compound formation.
Electron-Proton Systems
A similar argument is proposed for electron-proton systems.
The proton represents a much larger and more complex resonance structure.
Although an exposed e-span resonance channel may be present, the proton resonance geometry cannot easily align symmetrically with the full three-dimensional resonance circulation of a single electron.
Therefore the resonance system does not naturally evolve toward complete dimensional cancellation.
Instead, stable matter structures may emerge.
This leads to a broader interpretation of matter formation.
Electron-positron systems can approach a symmetric cancellation state.
Electron-electron and electron-proton systems generally cannot.
Rather than annihilating, they remain trapped within non-canceling resonance topologies.
These stable non-canceling configurations may provide the foundation for higher-level matter structures such as protons, neutrons, nuclei, and atoms.
Open Questions
- What exact geometric condition causes one resonance dimension to collapse?
- How does the observed 511 keV energy emerge from the resonance geometry?
- Can para- and ortho-positronium be derived from distinct lock-in topologies?
- What determines whether two or three photons emerge?
- How does pair production recreate a confined three-dimensional resonance circulation from two propagating photon structures?
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