Over the past three series, we have systematically reconstructed classical physics within a fully relational ontology. The three threads — geodesics, motion, and light — form a unified framework in which all phenomena emerge from patterns of actualisation within relational fields of potentiality.
1. Geodesics: Trajectories as Emergent Patterns
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Classical trajectories are replaced by geodesics of relational coherence.
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Paths are not traced through a pre-existing space; they emerge from the interplay of constraints between systems.
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Geodesic analysis provides the global structure for relational patterning, defining the landscape in which dynamics and light unfold.
2. Relational Motion: Local Dynamics Without Forces
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Motion is successive actualisation, not displacement.
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Velocity = relational rhythm (pattern stability across cuts).
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Acceleration = modulation of potentiality constraints (change in rhythm).
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Momentum = tension of pattern coherence across cuts (consistency under perturbation).
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This framework reproduces classical dynamics without invoking objects moving in space, forces, or intrinsic properties.
3. Relational Light: Photons, Frequency, and EM Phenomena
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Photons = sequences of null cuts at the limit of potentiality.
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Frequency = rhythm of cuts as construed across relational horizons.
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Redshift/blueshift = horizon dynamics (perspectival reordering of cuts).
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Electromagnetism = emergent relational coherence (fields are descriptions, not substances).
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Light phenomena naturally integrate with geodesics and dynamics, producing classical observables without classical metaphysics.
4. Unified Relational Ontology
Across all three domains, we observe consistent principles:
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No intrinsic objects or properties: Everything emerges from relational patterns.
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No background space or time: Apparent motion and propagation are perspectival orderings of actualisations.
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Constraints and horizons: Relational fields define potentiality; coherence of patterns produces observable phenomena.
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Patterns, rhythms, and tensions: The fundamental primitives are pattern stability, modulation, and tension across successive cuts.
Classical concepts — motion, acceleration, momentum, frequency, electromagnetic fields — are all relationally emergent descriptions, not metaphysical entities.
5. Implications and Future Directions
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This framework provides a complete relational replacement for classical kinematics, dynamics, and electromagnetism.
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It unifies massive-body motion and photon behaviour in a single ontology of patterned actualisation.
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It sets the stage for future relational reconstructions of quantum phenomena, where potentiality, coherence, and horizon constraints play a central role.
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Observables are now understood as construals of relational patterns, rather than intrinsic measurements of pre-existing objects or fields.
6. Concluding Perspective
Relational physics shifts our perspective:
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From objects in space experiencing forces
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To patterns in potentiality fields experiencing modulation
In doing so, it preserves all predictive and explanatory power of classical physics while eliminating representational metaphysics.
What remains is a world of emergent coherence, where motion, light, and electromagnetic phenomena are all expressions of relational ordering at multiple scales. The universe, in essence, is the becoming of possibility, actualised and construed through the interplay of constraints and horizons.
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