Roton vs. Resonon and Classical Spin

This note consolidates our discussion: spin in standard physics is not a classical rotation, but a classification of how states respond to rotations and couplings.
In the Roton Quantum Model (RQM), spin is not taken as an ontological primitive. Instead, it emerges from two fundamental object classes:

• Sonon: base LEDO space-time resonance coherence mode, modeled as a single rotating positive and negative crest
• Roton: a self-stable rotational state
• Resonon: a context-dependent resonance object (additively superposable)
• Resonance channel: a structured coupling pathway between Rotons and/or Resonons. A resonance channel does not constitute a particle or object itself.

Spin appears as a derived label, not as a foundational degree of freedom.

0. Editors note

The concept of spin was initially set aside in the development of the RQM. The term is used in physics with several distinct and sometimes loosely connected meanings, which makes it unsuitable as a foundational concept within this framework.

In one common usage, particularly in polarization contexts, spin refers to the projection of an unspecified internal property onto an arbitrarily chosen spatial direction. In another, it serves as a classification label describing how a particle’s internal state maps onto its external behavior under symmetry transformations. In this latter sense, spin is assigned a numerical value that reflects representation properties rather than any literal rotation.

For these reasons, the RQM does not adopt the term spin as a primary descriptor, especially not in the sense of a physical rotation axis or intrinsic mechanical motion. Instead, it focuses on the underlying dynamical and relational structures from which such classifications may emerge.

In retrospect, the RQM has developed a more detailed and structurally grounded classification of particle properties. Within this broader framework, what standard physics denotes as spin appears as a derived and comparatively limited descriptor rather than a fundamental one.

1. Starting point: What does “spin” mean in the Standard Model?

In the Standard Model, spin is a representation property describing how states transform under spatial rotations:

• Spin-1/2: spinor structure, 720° property, fermions, Pauli exclusion
• Spin-1: vector-field character, bosons, unrestricted superposition
• Spin-2: geometric field character (e.g. graviton as a hypothetical field quantum)

Crucially, spin does not mean a mechanically rotating object.

2. RQM premise: Spin is de-fundamentalized

In RQM:

Spin is not an intrinsic degree of freedom, but a shadow of external coupling behavior.

Instead of postulating spin, RQM describes states via:

• phase
• frequency (and spectra)
• coupling quality
• geometric relations (axes, planes, precession)
• Ω, the effective rotational or resonant dynamics (context-dependent)

Spin becomes a classification result, not an axiom. In transient states the term might not make sense or would need to come in more flavors.

3. The Roton (RQM): self-stable rotational state

Spin-1/2 as an emergent residual label

3.1 Definition (RQM)

A Roton is a self-sustaining rotational state:

• it possesses closed rotational coherence
• orientation is not absolute, only relational via coupling
• it exhibits a minimal two-valued response structure

In standard language, this appears as spin-1/2.

3.2 Explanations

Even a simple two-layer anti-parallel Roton does not, in general, return to its original internal state after its outermost coupling degree has completed a single cycle.

First, the inner rotational mode typically does not share a 1:1 period with the outer rotation, so internal phase alignment is not restored after one outer cycle. Second, a Roton composed of two coupled sub-Rotons already reproduces an externally indistinguishable resonance response after a 180° outer rotation. In standard physics, this externally identical configuration is conventionally identified with a full 360° rotation, although the internal state has not completed a full cycle.

3.3 Consequence: Pauli as a state-counting rule

Rotons are exclusively occupiable:

Two identical Rotons cannot occupy the same complete state.

In standard formalism: [ \psi(x_1,x_2) = -\psi(x_2,x_1) ] If both particles were in the same state: [ \psi = -\psi \Rightarrow \psi = 0 ]

RQM interpretation:

• Pauli is not a force
• it is a state-counting constraint
• it follows from:
  • identity
  • self-stability
  • closed coherence

3.4 Exception (Sonon)

Having based the argumentation on a “simple two-layer Roton” you can already guess what is going on with a one-layer base Roton. The Base-Roton does not consist of two identical Rotors. Instead the Rotors have positive and negative crests, or in another view a longitudinal or compressive resonance.

With this characteristic such a base Sonon, effectively returns to its identical original state after a turn of 360° with no other internal modes.

This makes a Sonon conceptually a Spin-1 object, which fully aligns with the standard physics view of a photon.

4. The Resonon (RQM): field-like resonance mode

Spin-1 as emergent behavior

4.1 Definition (RQM)

A Resonon is a combined resonance object, fundamentally a resonance mode:

• not self-stable without context
• direction-capable
• can exist statically (stationary) as a standing mode
• acts preferentially within or relative to a rotation plane
• axially variable and context-defined

This corresponds functionally to spin-1–like behavior in standard physics.

4.2 Superposability: no exclusion principle

Resonons do not obey Pauli exclusion:

Multiple Resonons may occupy the same location and mode.

They may coexist:

• with different phases
• with different frequencies
• even with identical phase and frequency (amplitude increases, no blocking)

Typical cases:

1. Same frequency, different phase → coherent interference
2. Different frequencies → incoherent coexistence (beating, additive energy density)

5. Pion / Quon in the RQM picture: context decides

• Spin-1 entities are interpreted as Resonon-class objects:

  • primarily coupling and direction carriers
  • stable only in context (field, binding, nucleus)

• Spin-1/2 entities belong to the Roton class:

  • self-stable (at least temporarily)
  • exclusively occupiable
  • axially coupled

5.1 Pion in the nucleus: primarily static spin-1–like action

Within a nucleus, a pion-like mode acts mainly as:

• a coupling mediator
• a quasi-static resonance between nucleonic structures

This is best described as a spin-1–type interaction mode, not as a fundamental spin-1 particle.

5.2 Isolated pion: short-lived quasi-rotational mode

Outside the nuclear context, a pion-like object may:

• form a temporarily closed resonance loop
• carry an approximate eigen-rotation
• mimic spinor-like behavior briefly

However:

• it is not a fundamental Roton
• it lacks Pauli stability
• hence it is short-lived

5.3 Proton collective: emergent spin-1/2 coherence

A proton can be viewed as a stable collective Roton:

• spin-1/2 emerges from closed coherence across multiple sub-modes
• Resonons (pion-like modes) act as coupling glue
• spin-1/2 is collectively stabilized, not localized

6. How classical spin emerges (RQM → standard labels)

6.1 Spin-1/2 (fermionic regime)

Appears when a state is:

• self-stable
• exclusively occupiable
• only relationally oriented

RQM label: Roton

6.2 Spin-1 (bosonic / field regime)

Appears when a state:

• mediates directional effects
• can exist statically as a mode
• is additively superposable

RQM label: Resonon

6.3 Spin-2 (geometric regime)

Appears when the state describes:

• not a particle
• but the response structure of the medium or space itself

RQM label: geometric or meta-resonance mode (open)

7. Roton vs. Resonon: compact comparison

Further directions

A. Deriving Pauli from RQM axioms

Goal: derive exclusion purely from:

• self-stability
• identity
• closed coherence

Pauli as a counting rule, not a force.

B. Distinguishing “spin-1 action” from “spin-1 particle”

Essential to avoid semantic confusion:

• spin-1 action → directional resonance mode
• spin-1 particle → autonomous vector state (optional in RQM)

C. Ω mapping: spin labels as projection artifacts

Spin labels arise from how measurements project:

• symmetry vs. antisymmetry
• polarization
• occupancy rules

Underlying reality: Ω, phase, coupling, context.

D. Nuclear physics as a testbed

Key questions:

• when does a mode act statically (Resonon-dominated)?
• when does coherence close into a self-stable Roton?
• how does collective spin-1/2 emerge?

E. Emergent statistics

Long-term goal:

• fermionic vs. bosonic statistics as emergent:
  • Roton → exclusive
  • Resonon → additive
• leading to atomic, molecular, and solid-state structure

Summary

In RQM, spin is not a fundamental rotation but an emergent descriptor:

• Roton → self-stable, exclusive → appears as spin-1/2
• Resonon → field-like, additive, possibly static → appears as spin-1–like action
• Collective structures determine whether a mode manifests as Resonon or stabilizes into a Roton coherence.