A Rradical Theory based on Self-Referenced System underlying physical phenomena is proposed based on finite number of agents and their choices of non denials. The theory proposed resolves the collapse/observer problem in quantum mechanic and basic paradox of Godel’s theorem of incompleteness. The theory is strongly supported by measured parameters in CERN Institute of Particle Physics in Geneva.
A Rradical Theory based on Self-Referenced System underlying physical phenomena is proposed based on finite number of agents and their choices of non denials. The theory proposed resolves the collapse/observer problem in quantum mechanic and basic paradox of Godel’s theorem of incompleteness. The theory is strongly supported by measured parameters in CERN Institute of Particle Physics in Geneva.
The measurement problem is one of the greatest unsolved mystery of the foundations of quantum mechanics. This paper is an exploration of the underlying subtleties of this phenomenon from the standpoint of the quantum mechanical interpretations that are available to us at the moment. First, we revisit the infamous double slit experiment and contrast between the observer dependent and observer independent effects on the measurement process. In this regard, we have tried to establish a causal relationship between the observer's consciousness and the collapse of the wave function. The point is justified through the application of Godel's incompleteness theorems. Finally, we perform a thought experiment which shall validate our conclusions.
Abstract Is it possible to encompass the full extent of the universe within a theory based on a finite set of first principles and inference rules? The r^ole of observers and observations in physics theories is considered here in the light of G¨odel’s incompleteness theorem. Physics theories are the sum-total that we – humans, scientists, physicists – can make in interpreting our observations of the universe. We are integral part of the universe, together with our observations, therefore acts of observation are also observables and should become part of the phenomena considered by the theory, especially in view of the fact that arbitrarily chosen modes of observations may essentially determine empirical results. Incompleteness arises in G¨odel’s theorem with self-referential propositions. Observations and interpretations are acts of referencing, and self-referencing occurs in physics whenever the observer is recognized as being part of the observed system. If self-reference appears in physics in simile to G¨odel’s theorem, then incompleteness seems unavoidable in physics. The article discusses observers and observations as referencing in physics, culminating with the understanding that they are hierarchically inter-related so that a universal physics theory cannot be complete.
Abstract This work presents a structural ontology of quantum mechanics grounded in the limits of formal description, rather than in interpretative models. Instead of proposing a new interpretation, modification of equations, or metaphysical extension, the text identifies a missing structural layer implicitly assumed by quantum theory: the necessity of filtration in systems operating beyond formal completeness. Drawing on Gödel’s incompleteness theorems as a structural precedent, the analysis reframes core quantum phenomena — superposition, collapse, entanglement, uncertainty, and wave–particle duality — as expressions of constrained potential rather than paradoxical physical behavior. Quantum mechanics is shown to operate in a pre-physical regime, describing admissible possibilities prior to enforced resolution, while classical physics describes the outcome of irreversible constraint. From this perspective, collapse is not caused by observation, randomness, or consciousness, but by saturation of coherence under applied constraints. Uncertainty emerges as a logical consequence of non-coexistent descriptions within a single formal frame, rather than as an epistemic limitation. The work then generalizes this framework beyond physics, demonstrating that entropy, irreversibility, and systemic collapse arise when systems continue operating beyond their Gödelian limits without a heuristic capable of recognizing formal exhaustion. This leads to a distinction between reintegrative (pre-Gödel) entropy and residual (post-Gödel) entropy regimes, with implications for computation, cognition, artificial systems, and large-scale systemic viability. This document is descriptive, not prescriptive.It introduces no implementations and proposes no cosmological mechanisms.Its contribution is the explicit articulation of structural constraints that any coherent physical or systemic description must satisfy.
The mathematical representation of the universe consists of sequences of symbols, rules and operators containing Gödel's undecidable propositions: information and its manipulation, also with Turing Machines. Classical information theory and mathematics, ideally independent from the medium used, can be interpreted realistically and objectively from their correspondence with quantum information, which is physical. Each representation of the universe and its evolution are, in any case, physical subsets of the universe, structured sets of observers and their complements in the universe made with spacetime events generated by local quantum measurements. Their description becomes a semantically closed structure without a global object-environment loss of decoherence as a von Neumann's universal constructor with a semantical abstract whose structure cannot be decided deterministically a priori from an internal observer. In a semantically closed structure, the realization of a specific event that writes the semantical abstract of the constructor is a problem of finding "which way" for the evolution of the universe as a choice of the constructor's state in a metastructure, like the many-world Everett scenario, from a specific result of any quantum measurement, corresponding to a Gödel undecidable proposition for an internal observer.
Quantum complementarity is interpreted in terms of duality and opposition. Any two conjugates are considered both as dual and opposite. Thus quantum mechanics introduces a mathematical model of them in an exact and experimental science. It is based on the complex Hilbert space, which coincides with the dual one. The two dual Hilbert spaces model both duality and opposition to resolve unifying the quantum and smooth motions. The model involves necessarily infinity even in any finitely dimensional subspace of the complex Hilbert space being due to the complex basis. Furthermore, infinity is what unifies duality and opposition, universality and openness, completeness and incompleteness in it. The deduced core of quantum complementarity in terms of infinity, duality and opposition allows of resolving a series of various problems in different branches of philosophy: the common structure of incompleteness in Gödel’s (1931) theorems and Enstein, Podolsky, and Rosen’s argument (1935); infinity as both complete and incomplete; grounding and self-grounding, metaphor and representation between language and reality, choice and information, the totality and an observer, the basic idea of philosophical phenomenology. The main conclusion is: Quantum complementarity unifies duality and opposition in a consistent way underlying the physical world.