This paper resolves the Orbès Paradox by applying the Saladini Theorem to the perception of continuity. It demonstrates that the paradox arises from the false assumption of infinite observational resolution.-Finite Capacity: No observer can process an infinite continuum of states due to hardware limits.-Logical Nullification: Contradictions from infinite resolution are non-operational for finite agents.-Systemic Collapse: Within a finite domain, the continuum paradox collapses logically.
This paper resolves the Orbès Paradox by applying the Saladini Theorem to the perception of continuity. It demonstrates that the paradox arises from the false assumption of infinite observational resolution.-Finite Capacity: No observer can process an infinite continuum of states due to hardware limits.-Logical Nullification: Contradictions from infinite resolution are non-operational for finite agents.-Systemic Collapse: Within a finite domain, the continuum paradox collapses logically.
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.
The Gibbs paradox is often erroneously believed to have been resolved by quantum mechanics. In fact, it has been resolved by the assumption of extensivity only in non-interacting macroscopic thermodynamic systems as implied by Pauli. Yet, this resolution is far from satisfactory not only because real systems are interacting but also because it cannot apply to small thermodynamic systems. Here, we offer the resolution applicable to all of these systems based on a new concept of absolute irreversibility, where extensivity is shown to emerge automatically with increasing the system size. Quite surprisingly, our resolution also removes the fundamental flaw of fluctuation theorems in modern statistical physics.
In human consciousness perceptions are distinct or atomistic events despite being perceived by an apparently undivided inner observer. This paper applies both classical (Boolean) and quantum logic to analysis of the Liar paradox which is taken as a typical example of a self-referential negation in the perception space of an undivided observer. The conception of self-referential paradoxes is a unique ability of the human mind still lacking an explanation on the basis of logic. It will be shown that both classical and quantum logics fail to resolve the paradox because of the particle-like (atomistic) nature of physical events in the moments of perception. The atomistic reality is the only one observed in human consciousness even if, as has been claimed by a number of authors, consciousness arises from a quantum mechanical superposition. However, a computational solution of the paradox can be achieved by embedding quantum registers in a fractal space. The truth values, or q-bit\neigenstates, of the separate parts of the paradox correspond to sub-spaces of the fractal. Since a fractal contains the whole in each part a self-referential negation emerges as the experienced concept in each sub-space. Fractal quantum computation is realized by a cNOT-operation with percolation of the control q-bits into sub-spaces of a nascent fractal. In other words, atomism cannot cope with a self-referential paradox but quantum logic gates embedded in a fractal structure can cope. Remarkably, it will be shown that a mind operating on these algorithmic principles will not inevitably be limited by Turing's halting theorem. I suggest a physical mechanism that can deal with our experience of self-referential paradox. Because it is also shown that this cannot be achieved by any previously suggested classical or quantum mechanical operation, the newly proposed mechanism provides a better model than others for an important aspect of the structure of our minds.\n
Translator This work addresses a foundational but rarely examined question in physics: under what conditions does an observable exist at all? Treating finite resolution as a structural feature rather than a technical limitation, the paper shows that observable existence is not guaranteed and must be assessed relative to the refinement structure induced by realistic probes. Within the framework of Finite Resolution Physics (FRP), a refinement-stability requirement is introduced as a necessary condition for observable existence. This requirement is independent of statistical typicality, dynamical modeling, or spacetime and field ontologies. Applying it to a realistic interferometric probe specified strictly at the acquisition level, the paper proves that commonly assumed scalar quantities such as interferometric phase and visibility fail to remain stable under admissible refinement paths and therefore do not exist as probe-invariant observables within FRP. In addition to the structural result, the paper discusses reported interferometric experiments in which extracted phase- or visibility-like quantities exhibit dependence on detector resolution, spatial averaging, or reconstruction procedures. Without modeling these experiments or predicting their detailed behavior, the FRP analysis clarifies why such non-stabilization is not paradoxical: once an observable fails to exist structurally, finite resolution imposes no requirement that numerical procedures applied to experimental data should converge. The analysis is complemented by a conceptual connection to Operational Reflexive Systems, which provide an algebraic account of operational realizability. Overall, the paper establishes a principled distinction between calculable quantities and observables, and shows how finite resolution alone can rule out observables rather than merely limit their precision.
This paper presents the Spinal Decision Point Framework (DPF), a conceptual model for understanding paradoxes in time, quantum mechanics, and perception. Unlike theories that rely on branching timelines or infinite universes, the DPF describes reality as a single, continuous structure shaped by decision points (DPs). Each DP represents a critical juncture where an observer's perspective and choice determine the trajectory of their reality. Through this framework, paradoxes such as the Grandfather Paradox, Schrödinger's Cat, the Twin Paradox, and the dual nature of light are reexamined. The DPF resolves contradictions by introducing two key mechanisms: reality corrosion, where paradoxical endings are prevented by resetting to a prior decision point, and reality completion, where events progress without contradiction to their natural conclusion. This approach also provides explanations for common phenomena such as déjà vu (as the conscious effect of resets) and the Mandela Effect (as differing realities between observers). The DPF thus offers a unified perspective in which reality is finite, internally consistent, and observer-dependent, without resorting to infinite branching timelines. By combining insights from relativity, quantum mechanics, and philosophy, this framework proposes a structured way to reconcile paradoxes and expand discussions about the nature of time, perception, and reality.