One of the curiosities of discussions of quantum theory within relational ontology is that the wavepacket is rarely reconstrued explicitly. The formalism is often invoked, the measurement problem dissolved by appeal to relational actualisation, and yet the central object of the Schrödinger description — the wavepacket — tends to remain tacitly imported from orthodox interpretation.
This is unfortunate, because once the ontological shift is taken seriously, the wavepacket ceases to be mysterious almost immediately.
The difficulty lies not in the mathematics but in the residual representationalism that tends to accompany it.
1. The category mistake
In orthodox discourse the wavepacket is treated as if it were one of three things:
-
a physical wave distributed through space,
-
an epistemic probability distribution over hidden states,
-
a real object evolving in Hilbert space.
Relational ontology accepts none of these categories.
The wavepacket is not an entity, nor a field, nor a container of probabilities. It is a description of a system’s potential for instantiation across a space of possible events.
Put more carefully:
The wavepacket is a formal representation of the structure of possible instances associated with a system.
In the language of relational ontology, it is simply a theory of the instance.
This should immediately sound familiar: it is precisely the same relation that holds between system and instance in systemic functional linguistics. The system is not a hidden object behind the instance; it is the space of potential selections from which instances are actualised.
The wavepacket is therefore not an object awaiting collapse. It is the potential distribution of instances available to a given physical configuration.
2. Schrödinger evolution as deformation of potential
Once the wavepacket is recognised as a theory of possible instances, Schrödinger evolution ceases to describe the motion of a wave and instead describes the continuous deformation of that theory.
The equation tells us how the structure of potential instances associated with a configuration changes as relational constraints change.
Nothing travels. Nothing spreads.
The only thing that changes is the organisation of potential actualisations.
Mathematically, the Hilbert space structure is simply the geometry of that potential.
3. Measurement as perspectival instantiation
The notorious “collapse” problem arises only if one imagines the wavepacket as an ontic object.
From the relational perspective the situation is trivial.
Instantiation is always perspectival.
A system describes potential instances. An event actualises one of them. The wavepacket therefore does not collapse; rather, the observer shifts perspective from the pole of potential to the pole of instance.
Nothing in the potential structure disappears. It simply ceases to be the relevant description once an instance is construed.
Thus the so-called collapse is nothing more than the ordinary system–instance cut.
Quantum theory merely dramatises the move because the underlying potential structure is explicitly represented.
4. Entanglement as shared potential
Entanglement appears puzzling only if one assumes that systems possess independent potentials.
But if the wavepacket is a theory of possible instances, then entanglement simply indicates that the relevant theory of instances is defined jointly across systems.
The potential space is not factorizable.
Consequently the instance that actualises at one pole of the relation constrains the instance that can actualise at the other — not because of a signal, but because they were never independent potentials to begin with.
The correlation is therefore structural, not causal.
5. Temporal symmetry and the “negative time” curiosity
Discussions such as Sabine Hossenfelder’s recent video on negative time highlight an interesting feature of quantum formalisms: many of the equations are temporally symmetric, and some experimental analyses appear to permit negative group delays.
From the relational standpoint this is unsurprising.
Time is not an independent ontological dimension through which systems travel. It is simply the ordering of instances relative to the unfolding of potential.
If the wavepacket describes potential instances, and Schrödinger evolution describes the deformation of that potential, then temporal symmetry in the formalism simply reflects the fact that the potential structure itself does not privilege a direction of instantiation.
Directionality emerges only when instances are construed within a particular observational frame.
Thus the occasional appearance of “negative time” is not a revelation about the universe running backward. It is a reminder that temporal direction belongs to instantiation, not to potential.
6. What the wavepacket actually is
We can now state the relational interpretation succinctly.
The wavepacket is:
-
a formal description of the structure of possible instances associated with a physical configuration,
-
defined within a Hilbert space that encodes the geometry of those possibilities,
-
continuously deformed by relational constraints,
-
and perspectivally abandoned when a particular instance is actualised.
Nothing collapses.
Nothing travels.
Nothing exists in superposition.
There is only potential structured as a theory of its own instances, and the relational cuts through which those instances are actualised.
7. The quiet moral
Seen this way, the wavepacket ceases to be the central mystery of quantum mechanics. It becomes something far more familiar.
It is simply the system.
And quantum events are simply instances.
The mathematical machinery of quantum theory then turns out to be doing something remarkably close to what systemic functional linguistics does for language: it gives us an explicit formal representation of a space of potential selections and the instances that actualise from it.
Quantum theory did not discover ghosts in Hilbert space.
It accidentally wrote down a theory of potentiality.
No comments:
Post a Comment