1. Electron Structure in Resonance Quantum Theory (RQT)

1.1 Conceptual Foundation

Resonance Quantum Theory (RQT) models an electron not as a classical particle with spatial extent, but as a localized resonance point in space.

At this point, three resonance channels form an interlocked phase structure sharing coherent phase information.

The electron therefore represents:

• a localized phase-coherent resonance node,
• capable of receiving, redistributing, and emitting phase information.

One resonance channel may act as a directed primary coupling channel interacting with external structures or fields.

The remaining secondary resonance channels redistribute internal phase changes and may:

• remain open,
• become mutually coupled,
• or form confined resonant structures.

In the undisturbed state, the secondary resonance channels are expected to appear approximately orthogonal to the incoming primary resonance direction.

RQT interprets inertia as the required time, spatial extent, and internal propagation necessary for a resonance structure to adapt coherently to externally imposed changes.

An externally applied trajectory change therefore does not instantaneously alter the electron state. Instead:

1. the incoming phase disturbance propagates internally,
2. the electron rephases,
3. phase corrections are redistributed through the secondary resonance channels.

This suggests that:

• acceleration,
• trajectory changes,
• magnetic effects,
• spin coupling,
• and electromagnetic radiation

may emerge from internal rephasing dynamics of resonance structures.

1.2 Characteristic RQT Quantities

The following characteristic quantities are introduced in RQT in correspondence with experimentally established quantities from standard physics where appropriate.

Derived quantitites:

1.3 Coupling Strength (Electromagnetic)

The residual interaction between two elementary charges aligns with the Coulomb equations in standard physics:

$$ F(r)=k_e\frac{q_1q_2}{r^2} $$

RQT separates:

• the geometric residual dilution term,
• from the intrinsic coupling strength.

The intrinsic distance-independent coupling strength is therefore defined as:

$$ K_E = k_e e^2 $$

with units:

$$ [K_E]=\mathrm{kg,m^3/s^2} $$

In RQT, $K_E$ represents the intrinsic resonance coupling capacity of an electron pair independent of spatial dilution. The term $k_e$ is interpreted as a phase coupling constant used as normalized resonance propagation factor.

The classical $1/r^2$ behavior is interpreted as spherical residual propagation of open resonance channels.

In the classical sense, the term $k_e = \frac{1}{4\pi\varepsilon_0}$ describes how strongly electric fields “form” or propagate in empty space, also named vacuum permittivity.

You might already see the similarity to other residual coupling constants, especially for gravitational effects: $K_G = G m^2$

1.4 Internal Resonance Phase Coherence

RQT assumes that stable resonance structures emerge through coherent internal phase closure.

This principle also applies to the internal resonance structure of the electron itself.

The electron is modeled as a localized resonance node distributing phase information between multiple coupled resonance channels.

The distributed phase remains coherent only if internal phase propagation and redistribution can complete within characteristic resonance constraints.

The total phase is dimensionless and related to physical action by:

$$ \phi=\frac{S}{\hbar} $$

where:

• $\phi$ is phase,
• $S$ is resonance action, the total internally propagated resonance redistribution associated with an interaction,
• $\hbar$ converts physical resonance action into dimensionless phase.

RQT interprets action not merely as mechanical motion, but as the internally propagated rotational and phase-distributed resonance activity required to maintain coherent structure. Resonance Action measures the accumulated internal phase redistribution required for coherent resonance evolution.

For a localized resonance redistribution process:

$$ S \sim m_s v_s r_s $$

where:

• $m_s$ represents the characteristic “Sonon” base inertia or base energy contribution (single axial),
• $v_s$ represents the internal phase propagation velocity (assumed as $c$ for Sonons),
• $r_s$ represents the characteristic internal redistribution length scale.

Stable internal coherence requires that redistributed phase information closes consistently across coupled resonance channels.

This may be expressed generally as:

$$ \Delta\phi = 2\pi n $$

where:

• $n$ represents an integer coherence mode.

RQT therefore interprets stable particles as self-coherent resonance structures whose internal phase redistribution continuously re-establishes closed resonance conditions.

Inertia emerges from the finite time and spatial propagation required for this internal rephasing process when externally imposed changes disturb the existing coherent structure.

1.5 Characteristic Electron Response Scales

Electron Inertia

Measured electron inertia:

$$ m_e \approx 9.109\times10^{-31},\mathrm{kg} $$

Equivalent rest energy:

$$ m_e c^2 \approx 511,\mathrm{keV} $$

RQT interprets mass as the observable inertial effect of internally confined resonance energy.

Inertia describes the required time, spatial redistribution, and internal phase propagation needed for a resonance structure to coherently adapt to externally imposed changes.

Electron Self-Reaction Time

Accelerated electrons emit electromagnetic radiation, or in RQM terms resonance mediation through the remaining resonance-channels. The associated self-reaction behavior leads to a characteristic electromagnetic response timescale:

$$ \tau_e = \frac{2}{3} \frac{k_e e^2}{m_e c^3} $$

where:

• $k_e$ is the coupling constant (Coulomb),
• $e$ is the elementary charge,
• $m_e$ is the electron inertia,
• $c$ is the propagation normalization constant.

Numerically:

$$ \tau_e \approx 6.26\times10^{-24},\mathrm{s} $$

This timescale emerges from classical electromagnetic radiation reaction theory and characterizes the dynamical electromagnetic response behavior of an accelerated electron.

RQT interprets this quantity as a characteristic internal phase redistribution timescale associated with inertial adaptation.

Characteristic Resonance Redistribution Length

The corresponding propagation length is:

$$ \ell_e = c\tau_e $$

leading to:

$$ \ell_e = \frac{2}{3} \frac{k_e e^2}{m_e c^2} $$

Numerically:

$$ \ell_e \approx 1.88\times10^{-15},\mathrm{m} $$

This scale lies within the characteristic range of:

• nucleon separations,
• residual nuclear interaction distances,
• and experimentally observed femtometer-scale resonance structures.

RQT does not interpret this quantity as a literal electron radius.

Instead:

$$ \boxed{ \ell_e \text{ represents a characteristic resonance redistribution length associated with electron inertial response.} } $$

Characteristic Resonance Relation

The above structure suggests a general RQT relation of the form:

$$ d_R \sim \frac{K}{m c^2} $$

where:

• $d_R$ is a characteristic resonance redistribution or locking distance,
• $K$ is an intrinsic coupling strength,
• $m$ is the associated inertia,
• $c$ is the propagation normalization constant.

For the electromagnetic case:

$$ K_E = k_e e^2 $$

leading to:

$$ d_E \sim \frac{K_E}{m_e c^2} $$

This relation connects:

• coupling strength,
• inertia,
• and propagation normalization

to experimentally relevant femtometer-scale resonance distances.

Redistribution Interpretation of the Self-Reaction Factor

The self-reaction time or inertial phase redistribution time contains the characteristic geometric factor:

$$ \frac{2}{3} $$

In standard electrodynamics, this factor emerges from angular integration of electromagnetic dipole radiation over spherical space. RQT proposes that this redistribution factor may additionally admit a resonance-geometric interpretation.

Within the RQT electron model, externally induced phase changes entering through one resonance channel require coherent redistribution through the remaining coupled resonance channels of the electron structure.

For a three-channel resonance node:

$$ \frac{N-1}{N} = \frac{2}{3} $$

where:

• one channel receives the external perturbation,
• while the remaining channels participate in internal phase redistribution.

This suggests that inertial response may generally scale with the fraction of internally redistributed resonance activity.

In this interpretation:

• single-channel propagating structures exhibit minimal internal redistribution,
• while highly coupled confined resonance structures require increasingly complex internal rephasing behavior.

RQT therefore interprets inertia as an emergent consequence of internally redistributed resonance adaptation rather than purely static mass.

1.6 Interpretation of Inertia

Within RQT, inertia does not describe static mass alone.

Instead, inertia describes:

• the required propagation time,
• spatial redistribution,
• and internal phase adaptation

needed to coherently alter an existing resonance structure.

Trajectory changes therefore require:

1. internal propagation of phase corrections,
2. coherent redistribution through resonance channels,
3. establishment of a new stable resonance geometry.

The finite propagation speed of these internal adjustments naturally introduces:

• inertia,
• delayed response,
• resistance to trajectory changes.

1.7 Secondary Resonance Channels and Magnetic Phenomena

Open secondary resonance channels may produce observable residual effects analogous to:

• magnetic fields,
• spin coupling,
• polarization effects,
• synchrotron radiation,
• Larmor precession,
• or transverse electromagnetic interactions (radio waves).

In this interpretation:

• magnetic behavior emerges from rotating transverse resonance structures,
• rather than from purely abstract field quantities.

The residual electromagnetic field may therefore represent the observable large-scale projection of underlying phase-coherent resonance channels.

1.8 Electron Resonance Redistribution and Electromagnetic Propagation

Within RQT, externally imposed resonance action entering through one resonance channel must be internally redistributed across the coupled resonance structure of the electron. If the existing resonance structure cannot fully compensate or coherently redistribute the imposed resonance activity internally, additional redistribution modes may emerge.

A typical internal compensation mechanism may involve rotational or phase-adaptive reconfiguration of the secondary resonance channels.

Open secondary resonance channels may externally redistribute residual resonance activity into surrounding space-time. In experimentally observable electromagnetic systems, such behavior corresponds phenomenologically to:

• electromagnetic radiation,
• transverse electromagnetic fields,
• antenna emission,
• and propagating electromagnetic wave structures.

If no directly coupled compensation partners are available locally, the (dangling) redistributed resonance activity may propagate outward as open resonance modes.

RQT interprets such propagating modes as simple propagating resonance structures (“sonons”), which may under suitable coherence conditions form more stable coupled propagating systems associated with photon-like behavior.

In this interpretation:

• electrons correspond to internally redistributing multi-channel resonance nodes,
• while electromagnetic waves correspond to propagating open resonance redistribution modes.

The near-field and far-field behavior observed in oscillating electromagnetic antenna systems may therefore provide a macroscopic analogy for resonance redistribution processes occurring at the electron level. The partially measurable mediation of isolated base sonons with electrons and photons (electromagnetic waves).

Electron reconfiguration becomes photon-like propagation when internal compensation cannot fully absorb the imposed resonance action.

Channel mediation corresponds to the following well established set of standard physics equations:

1. Accelerated charge emits radiation

$\boxed{P=\frac{2}{3}\frac{K_E a^2}{c^3}}$

Or verbally:

$$ \text{radiated power} = \frac{2}{3} \cdot \frac{ \text{coupling strength}\times \text{acceleration}^2}{\text{propagation normalization}^3} $$

RQT reading:

$$ \text{electron trajectory change} \rightarrow \text{uncompensated resonance action} \rightarrow \text{radiative redistribution} $$

2. Photon energy from emitted frequency

$E_\gamma = hf = \hbar\omega$

RQT reading:

$$ \text{propagating resonance mode energy} = \text{phase-frequency action} $$

The term $\hbar c$ constantly appearing in particle physics can be interpreted as a coupling-distance-energy bridge.

3. Electron transition emits photon

$\Delta E = hf$

RQT reading:

$$ \text{change between stable electron resonance states} \rightarrow \text{released phase mismatch as photon-like mode} $$

Photons do not need independent intrinsic frequencies, their frequency emerges from:

• the redistribution dynamics of the emitting structure.

4. Dipole radiation coupling

For an oscillating electron:

$\omega_\gamma \approx \omega_e$

The emitted photon frequency matches the driving/transition frequency.

RQT reading:

$$ \text{secondary channel redistribution frequency} \rightarrow \text{external propagating resonance frequency} $$

and

$$ \boxed{ \text{propagating resonance modes inherit the phase evolution frequency of the driving resonance structure} } $$