RQM Force Mapping & Interaction Framework

Overview

This document establishes a consistent mapping between:

• Standard physics forces and interactions
• RQM (Resonant Quantum Model) interpretation
• A unified naming and structural system

Core idea:

All forces and interactions emerge from resonance structures and their residual projections across scales.

Introductory Concept

Atoms can be described in terms of a single type of entity — resons (R) — existing in different resonance modes and interaction spans:

• Anchored resons: Rₐ (e-span)
• Rotational resons: Rᵣ (q-span)

An e-span reson (Rₐ) functions as a stationary anchor node within a resonance structure and can act as a carrier of electric charge.

A q-span reson (Rᵣ) represents a rotationally stable resonance configuration, formed by an e-span reson coupled into a closed rotational channel within the resonance structure.

All atom-level interactions can be described as resonance couplings between these resons and their associated channels.

1. Core Entities

Entities are described as resonance nodes (RN) located at points where their external resonance channels emerge. Each entity is further characterized by the internal oscillatory elements (OE) that consist of and contribute to its structure.

2. Interaction Primitives

All interactions are expressed via three fundamental types:

3. Stability Modes

Orthogonal classification of stable configurations:

4. Multi-Scale Structure

5. Force Mapping Table

6. Structural Interpretation

6.1 Primary Layer (Quon Core)

• Fully established anti-parallel resonance channels
• Define maximal binding
• Equivalent to QCD confinement

6.2 Directed Residual Layer

• Emerges from partially exposed resonance structure
• Defines:
  • Nuclear binding distances
  • Structural spacing
• Acts along aligned axes

6.3 Undirected Residual Layer

• Isotropic projection of unresolved resonance
• Long-range, weak interaction
• Candidate interpretation of gravity

7. Interaction Grammar

All interactions follow:

• Level L:
• PR(L) → defines stable entity
• DR(L) → binds entities at same scale
• UR(L) → propagates influence across scales

8. Span-Based Interaction System

q-span (Nuclear Domain)

• PR → quon formation
• DR → nucleon-nucleon binding
• UR → gravitational residual

e-span (Electronic Domain)

• PR → charge / gridon structure
• DR → Coulomb interaction
• RS → orbital electron dynamics

9. Stability Mechanisms

Rotational Stability (RS)

• Anti-parallel entangled resonance
• Dynamic equilibrium
• Example:
  • electron orbitals
  • spin-coupled systems

Stationary Stability (SS)

• Parallel axis alignment
• Distance-keeping channels
• Example:
  • nuclear radius
  • bond length

10. Channel Types

11. Interpretation of Known Structures

Proton / Neutron

• Quon-based PR/DR(q-span)
• Internal rotational resonance, distance locking
• Non-separable due to confinement
• Gridon structured

Nucleus

• DR(q-span) network
• Distance-keeping structure
• Residual DR alignment effects

Atom

• PR(e-span) channel between orbital electron and nuclear nodes (eon/proton)
• RS(a-span) electron orbitals
• Mixed PR + DR behavior

12. Interpretation of Known Forces on Atom Level

Gravitational behavior emerges from the universal coupling (UR_total) between all reson systems, acting on their inertial response. Local structure and dynamics are governed by directional resonance channels (PR/DR) and limited by resonance saturation.

Core Definitions

Inertia
Response of a resonance system to changes in externally open or realized resonance channels.

Resonance Saturation
Limitation of coupling density within a spatial region.
At high channel density, resonance channels cannot remain synchronized, leading to effective short-range repulsion.

Universal Coupling

$UR_{total} ∝ E_total$

Where:

$E{total} = E{q-span} + E_{e-span} + E_{binding} + E_{radiation} + …$

UR_total is:

• universal
• non-selective
• not shieldable
• independent of channel sign or configuration

Standard Physics ↔ RQM Mapping

13. Open Questions / Constraints

Gravity Mapping

RQM interprets gravity as the universal coupling between all resonance systems, mediated through UR_total. The dominant contribution to E_total in ordinary matter arises from q-span structures, which explains why gravitational behavior correlates strongly with nuclear mass.

Important distinction: Gravity is not equivalent to UR(q-span), but UR(q-span) dominates the source of UR_total in typical matter.

Required Properties

Inverse-square behavior

Can be interpreted as:

• statistical spherical distribution of resonance axes in space
• contributions of the different residual effects UR(e/q/a)
• isotropic propagation of UR_total

UR_total ∝ 1 / r²

Lack of Shielding

UR_total cannot be shielded because:

• no sign-invertible degree of freedom exists
• no free carriers exist to redistribute total resonance energy
• coupling depends on total energy, not channel orientation

On Repulsion and Energy Density

RQM interprets short-range repulsion in matter as a consequence of resonance saturation, not as gravitational repulsion.

• repulsion arises from:

  • limited synchronization of resonance channels
  • phase redistribution limitations (Pauli-like constraints effects)
  • structural limits of PR/DR interactions

• attraction arises from:

  • structured resonance channels (PR/DR)
  • coherent alignment across spans

Thus:

Repulsion = local saturation effect (PR/DR domain)
Attraction = structured coupling (PR/DR)
Gravity (UR_total) = related to the total inertial response capacity of a system

Shielding

Non-shieldability of q-span interactions

e-span interactions (charge) can generally be shielded.

q-span interactions cannot be shielded because:

• q-span resonance channels are confined within composite structures
• no sign-invertible degree of freedom exists for cancellation
• no individual free carriers exist to redistribute interactions
• distance locking interactions (DR) are short-range and saturating
• q-span linear residuals (UR) are not cancelled as with primary resonance channels (PR)

Therefore:

• PR/DR(q-span) define structure but cannot be externally neutralized
• UR_total remains unaffected by internal rearrangements

Final Conceptual Summary

PR / DR: structured, directional, sign-dependent (where applicable) → define local structure and interaction

Resonance Saturation: limits coupling density → produces short-range repulsion

Inertia: universal response property of a resonant system

UR_total: universal, non-directional total coupling → depends only on total resonance energy → not shieldable

Charge Structure

• Gridon/Eon must encode:
  • sign/chirality (±)
• Electron / positron symmetry must remain intact

Scale Coupling

• Relationship between e-span and q-span lock-in distances:
  • possible common ratio (~1:2 hinted)
• Requires formalization

14. Conceptual Compression

All forces are manifestations of:

Resonance + Residual Structure Across Scales

15. Intuitive Summary

• PR = core binding
• DR = structure formation
• UR = long-range influence

Or:

Strong = structure core
EM = structured interaction
Gravity = diffuse memory of structure

16. Next Steps

Possible extensions:

• Formal mathematical representation of PR/DR/UR
• Simulation mapping (nodes, edges, resonance channels)
• Derivation of characteristic distances (nuclear radius, orbital scales)
• Energy formulation of resonance states