Classical physics treats frequency as an intrinsic property of a wave or particle: a regular oscillation in space or time. Observed shifts in frequency, whether Doppler or gravitational, are typically interpreted as changes in the intrinsic motion of the wavefront or photon.
From a relational standpoint, these assumptions collapse. There is no independent space or time in which oscillations occur, and photons have no intrinsic periodicity. Yet the phenomena remain coherent and measurable.
Frequency, in relational terms, is a description of the patterning of successive actualisations (null cuts) as construed by a system within its relational horizon. Observed frequency is thus perspectival, dependent on the alignment of potentiality constraints between the emitting system, the intervening field, and the observing system.
1. Null Cuts as the Basis of Frequency
A photon is a sequence of null cuts, each an instantiation at the boundary of potentiality. These cuts are not temporal “ticks”; they are events within a relationally structured field.
Frequency is the rhythm with which these cuts are construed to occur, not a property the photon carries. Formally:
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Each cut is constrained by the potentiality horizon of both the source and observer.
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The “interval” between cuts is an emergent feature of the relational ordering, not a measurable period in universal time.
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Frequency differences arise from variations in horizon alignment or modulation of the potentiality field.
2. Relational Doppler Shift
Classically, the Doppler effect is a shift in observed frequency due to relative motion of source and observer. Relationally:
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The “shift” is a reconfiguration of the relational horizon between emitter and observer.
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When the observer’s horizon aligns differently with the source’s successive cuts, the pattern appears compressed (blueshift) or expanded (redshift).
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No photon “changes speed”; the shift is entirely a perspectival pattern effect.
This immediately explains why relativistic Doppler shifts emerge naturally: the constraints of horizon alignment impose limits on pattern ordering that reproduce classical results without invoking spacetime propagation.
3. Gravitational Frequency Shift
Gravitational redshift, in classical terms, is interpreted as time dilation along a curved spacetime geodesic. Relationally:
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Frequency shift arises from modulation of the potentiality horizon induced by a massive system.
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Cuts that would have been regularly construed in one horizon are now reinterpreted in another horizon.
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Observers constrained by a different potentiality horizon perceive the pattern differently, producing the redshift.
No curvature or clock ticking is required; the shift is a horizon-relative ordering effect, entirely consistent with relational geodesics and dynamics.
4. Frequency as a Measure of Pattern Stability
Frequency, relationally understood, also captures the stability of photon patterning across relational cuts:
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High-frequency patterns correspond to tightly constrained, highly coherent sequences of null cuts.
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Low-frequency patterns correspond to looser coherence, more flexible patterning across horizons.
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Changes in frequency indicate modulation of the field of potentiality, whether due to relative motion, gravity, or other relational interactions.
This aligns naturally with the treatment of velocity and acceleration in dynamics: frequency is a rhythm, not a motion. Shifts are modulations, not derivatives.
5. Implications for Measurement
In practical terms:
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Detectors record patterns, not intrinsic oscillations.
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Observed frequency is a perspectival reconstruction: the observer aligns successive cuts and construes them as periodic.
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Interference, coherence, and phase effects arise from relational ordering of multiple photon patterns across interacting horizons.
Classical wave-particle duality is thus an emergent phenomenon: frequency is pattern, observation is ordering, photons are sequences of cuts.
6. Toward Redshift, Blueshift, and EM Patterns
Having redefined frequency relationally, we are now equipped to reinterpret:
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Cosmological redshift: horizon expansion and emergent ordering of photon cuts.
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Gravitational shift: modulation of relational potentiality near massive bodies.
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Electromagnetic coherence: relational patterning of multiple null-cut sequences across interacting systems.
These will form the subject of the next post, bridging photon ontology to observable EM phenomena.
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