This page outlines a work in progress. It does not propose a new interpretation of quantum mechanics, nor a replacement for existing formalisms. Its aim is to sketch a conceptual framework in which quantum, logical, and computational notions may be rearticulated through processes of synchronization.
Independence as a situated belief
Quantum information provides a concrete illustration of how principles such as independence or uncertainty may need to be revisited when the point of view changes. The state of a qubit within an EPR pair cannot always be meaningfully described as an independent local entity, once the observer includes themselves as part of a larger correlated system.
This does not invalidate independence as a useful operational notion. It shows that independence functions as a stabilized belief relative to a frame, rather than as an absolute property of the world.
From states to conditions of synchronization
Quantum mechanics is often presented as a theory in which the description of states and the description of observations require fundamentally different mathematical structures.
Rather than asking why these models differ, this work adopts a more abstract stance: if quantum theory shows that describing what can produce a single deterministic bit of information may require a two-dimensional vector space, then dimensionality itself becomes a contextual requirement, not an ontological given.
In this light, a “quantum state” is not treated as a complete description of reality, but as a stabilized interface enabling synchronization between preparation, transformation, and observation processes.
Contextuality as a communal phenomenon
Contextuality is usually formalized as an incompatibility between joint value assignments. Here, it is approached instead as a limitation on simultaneous synchronization.
Different experimental contexts correspond to different stabilization choices. When these choices cannot be jointly enforced, the resulting incompatibility reflects not a failure of description, but a structural constraint on what can be synchronized at once.
From this perspective, non-classical correlations do not signal non-local causation, but the presence of multiple, partially incompatible synchronization regimes within a shared experimental community.
Computation beyond fixed machines
Classical models of computation rely on fixed alphabets, clocks, and memory structures. Quantum computation already relaxes some of these assumptions, yet often retains rigid notions of control and complexity.
The present framework does not seek to escape classical complexity theory, but to avoid assuming it as fundamental. Classical and quantum complexity classes are treated as rigidifications of more general interactive processes.
In this sense, a quantum circuit, a measurement pattern, or a logical derivation may be understood as stabilized choreographies of synchronization between subsystems, rather than as executions of a fixed machine.
Measurement, belief, and assurance
Measurement is not interpreted here as the revelation of a pre-existing value, nor as a purely epistemic update. It is understood as a synchronization event that produces a locally stable outcome.
Such an outcome carries both belief (confidence in what has been observed) and assurance (confidence that incompatible alternatives have been excluded within the chosen context).
These quantities cannot be only relative nor only absolute. They depend on the position of the observer within a community of experimental practices and on the stabilizations that community accepts.
Current status and directions
At its present stage, this work focuses on conceptual coherence rather than formal completeness. Its immediate goal is to provide a shared language for discussing contextuality, computation, and synchronization across disciplinary boundaries.
Further developments will aim to connect these ideas to existing quantum information frameworks, while preserving the reversibility and interpretability that motivate the approach.