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Formal resolution of the multiverse paradox via Finite comprehension Functions

Gabriele Saladini

Published Feb 17, 2026• 0 citations
Publisher

Abstract

This paper resolves the Multiverse Paradox by applying the Saladini Theorem. While classical models assume infinite observation, this study proves that any agent is strictly finite. • Finite Capacity: No observer can process infinite reality branches due to hardware limits. • Logical Nullification: Paradoxes based on actual infinities are non-operational for finite systems. • Systemic Resolution: The multiverse effectively collapses into a finite, accessible domain. By shifting the focus to the computational limits of the observer, the paradox is logically eliminated.

DOI
10.5281/zenodo.18672788

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This paper resolves the Multiverse Paradox by applying the Saladini Theorem. While classical models assume infinite observation, this study proves that any agent is strictly finite. • Finite Capacity: No observer can process infinite reality branches due to hardware limits. • Logical Nullification: Paradoxes based on actual infinities are non-operational for finite systems. • Systemic Resolution: The multiverse effectively collapses into a finite, accessible domain. By shifting the focus to the computational limits of the observer, the paradox is logically eliminated.
Abstract Consciousness is often reduced to computation, correlation, or illusion. I propose a different definition: consciousness is the capacity for true randomness. Unlike deterministic algorithms or pseudo-random processes, consciousness generates actions and perceptions that cannot be predicted, replicated, or fully contained by any system of rules. From this foundation, perception becomes the act of collapsing infinite probabilities into one experienced reality. Until perception occurs, all possibilities exist simultaneously—an infinite multiverse of outcomes waiting to be realized. Consciousness serves as the arbiter, selecting not through algorithm but through irreducible, non- deterministic choice. This framework aligns consciousness with the principles of quantum mechanics: the interplay between zero (nothingness) and infinity (unbounded possibility). Just as wavefunctions resolve upon measurement, lived reality emerges through conscious perception. Infinity minus one universes must exist at every moment to account for the single universe a conscious being perceives. The argument presented here is both theoretical and disruptive. It challenges the assumption that intelligence can be reduced to artificial systems, asserts that randomness is the defining feature of awareness, and frames consciousness as the bridge between mathematical abstraction and lived existence. If correct, this theory offers not only a new lens on the mind, but also a proof of the multiverse as a necessary condition for perception itself.This theory is not offered as speculation, but as a challenge: if consciousness is not randomness, then prove otherwise.
The Many Worlds Interpretation (MWI) famously avoids the issue of wave function collapse. Different MWI trees representing the same quantum events can have different topologies, depending upon the observer. However, they are all isomorphic to the group of block universes containing all of the outcomes of all of the events, and so, in that sense, the group of block universes is a more fundamental representation. Different branches of the MWI tree, representing different universes in MWI, ultimately share the same quantum state in a common ancestor branch. This branching topology is incompatible with that of the Minkowski block universe; the resolution is to replace the branches with discrete, parallel block universes, each of which extends from the trunk to the outermost twigs. The number of universes in a branch is proportional to its thickness which, in turn, depends upon the absolute square of the probability amplitude for the state in that branch. Every quantum event may be represented by a kernel of universes, which is the smallest group of universes that will reproduce the quantum probabilities of the outcomes of that event. By considering the ratios of the probabilities of the outcomes of any event, it can be shown that the number of universes in every kernel must finite, as must be the total number of universes in the multiverse. Further, every universe in the multiverse must be finite both in space and time. Another consequence is that quantum probabilities must be rational, which suggests that quantum mechanics is only an approximation to a discrete theory. A corollary is that not every conceivable universe exists in the multiverse, no doubt to the disappointment of those who enjoy alternate-history novels.
The modern version of the wave-function collapse in quantum mechanics is based on decoherence and leads to the multiverse interpretation of quantum mechanics. The decoherence causes the universe to develop an emergent branching structure. One can interpret the branching structure either as a tree structure or as parallel different histories. Time is not continuous since there are no measurable continuous in quantum physics. Notion of continuous range of possible values of time is just an idealization. The same goes with the direction of time that is a prior assumption based on the branching structure of the multiverse. The multiverse does not exist in external space nor time since there is nothing more beside it. The observer's mind should be not in a superposition with himself. Because of this, in the Many-minds interpretations it is argued that the distinction between worlds should be made at the level of the individual observer. The human bodies are in a superposition, but the minds have definite states that are never in superposition. All possible lives, personalities that do not violate the laws of physics are facts since they represent a valid history in the multiverse. We are one of this possible personalities. Our choices are defined by our personality explained to us by our mind, our consciousness is the unchangeable part of us. It is nonphysical and it senses the world. It does not interact with the brain in the other way beside it.