Leslie Lamport’s work on distributed computing gives us a small engineered example of a much larger problem. When messages take time to travel and different computers have different clocks, how can a distributed system establish enough order to know what could have caused what? Lamport ordered events by their causal relations – what he called “happened-before” – and used logical clocks to represent that order without requiring a universal time. The importance here is not distributed computing itself, but the principle it exposes: coherent local order can arise without complete global order. What any process can know and do depends upon which relations have reached it, and when.
Special relativity exposes the same structure at a deeper level. There is no universal present shared by every inertial observer. Events simultaneous in one frame need not be simultaneous in another, while causal order remains where influence can propagate. Communication likewise depends upon finite propagation. Every communicating process inhabits a local temporal frame assembled from what has reached it, in what order and after what delay. Delay is constitutive: it gives difference duration, gives timing informational value, and allows sequence to have consequence. Time, in this sense, is the finite propagation of relation itself.
Timing is structure. Change the sequence, interval or phase of otherwise identical signals and their meaning, causal effect and consequences can change. Language makes this familiar. Meaning depends upon what came before and what is expected next; a pause, recurrence or displacement can change the significance of the same words. Semantic structure is harmonic in this sense: relations reinforce, interfere, establish expectation and resolve across time. Engineered systems make the same principle unusually visible through clocks, buffers, oscillators, sampling and synchronisation, but the principle is not technological. Across communicating and persistent systems, reliable local order is produced by organising temporal difference within an entropic and substantially stochastic world. Break the timing badly enough and the organisation breaks with it.
The same logic reaches into ontology. Reality is not a collection of finished states with time added afterwards. Sequence helps determine what an event can do and what can follow from it. Communication is the temporal establishment, maintenance and modification of relations between processes; meaning is a persistent organisation of those relations. Persistence has the same form. Phase organises recurrence in time, while stable phase relations constrain future transitions and shape attractors within the space of possible change. Feedback, resonance, cancellation and path dependence accumulate as the “dark matter” of complexity, making some continuations easy and others improbable or effectively invisible. Logical orbit names the recurrence through which an organisation keeps producing the conditions of its continuation.
Every organisation is a local closure within a larger openness. A message removes some uncertainty; a decision excludes alternatives; an utterance resolves some meanings while opening or suppressing others. Meaning persists when enough relational structure survives changes of speaker, context, wording and time, as a melody survives transposition. But no finite closure exhausts the possibilities from which it was drawn. Knowledge does not arise after uncertainty has been eliminated; it arises because uncertainty remains. The future is this unresolved remainder, continually reshaped by what occurs now.
The larger point is that coherent order does not require complete order, persistence does not require stasis, and communication does not require a universal clock. Finite systems organise the relations that reach them, act from that local order and change what can happen next. At every moment, many relations and consequences remain possible, but only some can be realised together. What occurs constrains what can follow; those consequences constrain what follows them. A history is this recursive narrowing and reopening of possibility, one realised continuity through a combinatorial field vastly larger than itself. Almost all possible futures remain inaccessible, not simply because knowledge is limited, but because inhabiting one sequence of relations necessarily means not inhabiting countless others. We receive one ordered thread through possibilities no local order can exhaust. The rest are the futures we will never know.
cf.
Einstein, A. (1905). Zur Elektrodynamik bewegter Körper. Annalen der Physik, 322(10), 891–921. doi:10.1002/andp.19053221004.
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Kelso, J. A. S. (1995). Dynamic Patterns: The Self-Organization of Brain and Behavior. MIT Press.
Lamport, L. (1978). Time, clocks, and the ordering of events in a distributed system. Communications of the ACM, 21(7), 558–565. doi:10.1145/359545.359563.
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Wiener, N. (1948). Cybernetics: Or Control and Communication in the Animal and the Machine. MIT Press.
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