Epistemic note
This project constitutes a deductive structure based on constraints and invariants,
not a philosophical hypothesis nor a physical theory.
Its contents are not evaluable in isolation:
each individual page presupposes the full conceptual structure of the site.
Any judgment formulated without examination of the complete context
is necessarily partial and non-conclusive.
The distinction between structural deduction and interpretation
is an integral part of the model.
In the Sphere of Everything model, the concept of chance requires a preliminary and non-negotiable clarification, because the very legitimacy of any law, measure, or universal unit depends on it. If chance were an ontological property of events, no stable and transferable relations could exist: every measurement would be local, non-repeatable, and devoid of universal meaning. For this reason, the treatment of chance necessarily precedes the discussion of units of measure.
By ontological chance we mean an event that occurs without being constrained by any rule, variable, or relation, even in principle. In this strong sense, chance would imply that identical states could produce different outcomes without any real difference in conditions, and that such differences could not be traced back to deeper or unobservable rules.
By epistemic chance, instead, we mean the appearance of unpredictability due to limits of observation, resolution, or description: the event is not free of constraints, but those constraints are not accessible within the considered descriptive regime. The Sphere of Everything model draws a strict distinction between these two levels.
The center of the Sphere represents the set of invariants of existence, that is, the rules that must hold for anything to exist at all. Among them, in a non-negotiable form, are:
An ontologically random event would violate all these conditions simultaneously: it would conserve nothing traceable, introduce a real discontinuity, produce different outcomes from identical states, and require local exceptions that suspend global rules. It follows that ontological chance is incompatible with the center. It is not merely improbable or unobserved: it is impossible within the model.
What is commonly called “chance” emerges when the number of relevant variables exceeds the descriptive capacity of the observational regime. This typically occurs:
Under such conditions, the rules continue to hold, but the states are no longer resolvable. The event appears random not because it lacks constraints, but because the available language collapses before reality does. Chance is therefore a property of description, not of the event itself.
A decisive criterion follows: there exists no operational rule capable of distinguishing a truly random event from an event determined by unobservable variables.
The concept of chance therefore cannot be elevated to a real cause without contradicting the very structure of the rules.
In the Sphere of Everything model, the following principle holds:
Every event that exists is constrained by the rules of the center.
What appears random is the effect of variables not resolvable within the descriptive regime.
Chance does not produce events: it describes the epistemic limit of the observer.
This conclusion does not deny probability, statistics, or the operational use of probabilistic language. It denies only chance as an ontological cause. Once this point is fixed, it becomes possible to introduce non-arbitrary and non-anthropic units of measure, since the existence of laws, constants, and relations presupposes that reality is not governed by chance, but by invariant constraints.