Probing the Meaning and Structure of Quantum Mechanics: Semantics, Dynamics and Identity

Robert K. Clifton

Christian DE RONDE

In classical physics, probabilistic or statistical knowledge has been always related to ignorance or inaccurate subjective knowledge about an actual state of affairs. This idea has been extended to quantum mechanics through a completely incoherent interpretation of the Fermi-Dirac and Bose-Einstein statistics in terms of strange quantum particles. This interpretation, naturalized through a widespread way of speaking in the physics community, contradicts Born's physical account of Ψ as a wave which provides statistical information about outcomes that, in fact, cannot be interpreted in terms of 'ignorance about an actual state of affairs'. In the present paper we discuss how the metaphysics of actuality has played an essential role in limiting the possibilities of understating things differently. We propose instead a metaphysical scheme in terms of powers with definite potentia which allows us to consider quantum probability in a new light, namely, as providing objective knowledge about a potential state of affairs.

Jerrold L. Aronson

T.O.

This paper clarifies a recurrent structural confusion in advanced computation: the tendency to equate Quantum Mechanical (QM) computation and Cognitional Mechanics (CM) solely because both employ non-commutative structures. While the mathematical resemblance is real, the two frameworks operate at fundamentally different ontological layers and therefore govern distinct domains. Quantum computation represents extreme peak performance. Its advantage appears only after a problem has been fully formalized within a closed mathematical system, such as a fixed Hilbert space with well-defined operators and observables. Algorithms like Shor’s and Grover’s demonstrate that, under these conditions, QM can invalidate classical hardness assumptions or achieve dramatic speedups. However, QM neither generates nor reinterprets problems; it presupposes that all semantic uncertainty has already been resolved. Cognitional Mechanics governs the peripheral domain in which problems are formed, redefined, and semantically stabilized. CM models intelligence as a system of non-commutative semantic operations acting on meaning states within an open and evolving semantic manifold. Its non-commutativity is semantic rather than physical: the order of interpretive operations determines which meaning stabilizes, and this process is intrinsically irreversible. Through the example of RSA cryptanalysis, this paper shows that QM and CM are not competing frameworks. QM dominates isolated computational peaks, while CM governs the surrounding periphery that makes such peaks identifiable as problems at all. Recognizing this structural division is necessary to avoid category errors that conflate physical computational power with intelligence itself.

Gerrit Klawitter

Semantic Gravitation is an open research programme that investigates whether meaning can be treated as a dynamical object with its own geometry, stability structure, and flow laws. This third paper develops the quantum-compatible layer of the programme. It shows how the standard formalism of quantum mechanics—quantum states, observables, expectation values, and dynamics—can be embedded faithfully and without modification into the semantic Hilbert-space framework introduced in Papers I and II. Quantum states, represented as density operators on a quantum Hilbert space H_Q, are embedded as a distinguished sector of the global semantic state space S via an explicit linear isometric construction. Expectation values are reproduced exactly by representing quantum observables as continuous linear functionals on the embedded sector, and both unitary and open-system quantum dynamics (including GKLS evolutions) are shown to induce compatible dynamics within the semantic framework. Conceptually, the paper demonstrates that standard quantum theory can be realised as a structurally faithful subspace of a broader semantic state space, coexisting with gradient-flow and free-energy dynamics on probability measures. This establishes the mathematical foundation for coupling quantum dynamics to semantic field theories and complex-system models developed in subsequent parts of the programme.

Michele Caponigro