In classical physics, we often speak of light as “travelling” at speed c, and wave phenomena as having phase and group velocities. In relational ontology, where photons are instances and wavepackets are structured potential, these concepts take on a more precise and conceptually coherent meaning.
1. Photon instances don’t move
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Photons are actualised events, appearing at specific locations via relational cuts.
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Asking “how fast does a photon travel?” is misleading. The photon does not traverse space like a particle.
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Instead, the wavepacket encodes where and when photon instances are likely to appear.
Thus:
The speed of light c is not the speed of photon travel, but a property of how the wavepacket’s potential evolves in vacuum.
2. Phase velocity
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Phase velocity describes how the phase of each component of the wavepacket changes in space-time.
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It is a feature of the potential structure, not a physical motion of an instance.
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Example: In a dispersive medium, phase velocity can exceed c, yet this does not violate relativity, because no photon instance is moving faster than light — the potential structure evolves differently.
3. Group velocity
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Group velocity describes how the envelope of the wavepacket evolves.
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The envelope corresponds to the region of highest potential density — where photon instances are most likely to actualise.
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For nearly all practical purposes, the group velocity corresponds to the “speed at which energy and information are conveyed”.
In relational terms:
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Phase velocity = evolution of potential phase
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Group velocity = evolution of potential envelope guiding instance actualisation
4. The invariant speed c
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In vacuum, the structure of the electromagnetic potential evolves at speed c.
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This is a relational property of the potential field, not a speed of any particle.
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Photon instances appear within the evolving potential, respecting the constraints imposed by c.
“c” is the rate at which structured potential propagates, ensuring causal coherence for relational cuts.
5. Implications
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Light speed, phase, and group velocity are concepts about potential, not about instances.
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Apparent paradoxes (phase velocity exceeding c, group velocity slowing in media) are naturally resolved: nothing actual moves faster than c; only the potential evolves.
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Relational ontology allows us to reconcile classical wave intuitions with quantum actualisation.
Summary
| Concept | Relational Ontology Meaning |
|---|---|
| Photon | Actualised instance (event) |
| Wavepacket | Structured potential guiding where instances may occur |
| Phase velocity | How oscillation pattern of potential evolves |
| Group velocity | How envelope of potential evolves (guiding likely instance locations) |
| Speed of light c | Rate of evolution of structured potential in vacuum |
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