arXiv:1810.12089

Real Signals in the Microcosm

S.G. Basiladze

Published Oct 16, 2018• 0 citations

Abstract

It is known that the transition from quantum to classical physics occurs when the action constant h decreases to an infinitesimal value. As shown in the article, for signals this statement is applicable to their classical model only and it is far from all real signals existing in nature and having a threshold on action more than h. Such threshold is the threshold of perception that exists for any natural macro and micro signal receivers, including atoms and particles. It was revealed that above the boundary frequency of the classical thermal noise v-high, found by Planck, the properties of real signals correspond to quantum constraints. It is asserted that in the frequency range above v-high inertness appears and dominates, i.e. the integration of the signals. As a result of it a transition from the perception threshold on energy to the perception threshold on action happens. Besides, instead of disappearing thermal noise on energy, an indestructible sub-threshold noise on action appears that is associated with the uncertainty relation. The concept of algebraic, not integer logic is introduced for real sub-threshold signals. It is demonstrated that in combination of sub-threshold random states of several signals, their integration leads to a joint probability, i.e. to superposition states of QM.

DOI: 10.48550/arxiv.1810.12089

Related papers

A real signal and its states

S.G. Basiladze

The paper describes the general physical theory of signals, carriers of information, which supplements Shannon’s abstract classical theory and is applicable in much broader fields, including nuclear physics. It is shown that in the absence of classical noise its place should be taken by the physical threshold of signal perception for objects of both macrocosm and microcosm. The signal perception threshold allows the presence of subthreshold (virtual) signal states. For these states, Boolean algebra of logic ( A = 0/1) is transformed into the “algebraic logic” of probabilities (0 ≤ a ≤ 1). The similarity and difference of virtual states of macroand microsignals are elucidated. “Real” and “quantum” information for computers is considered briefly. The maximum information transmission rate is estimated based on physical constants.

Physics of Particles and NucleiMay 1, 20171 citation

The Information Redundancy Model of Quantum Mechanics: Planck Constant as a Measurement Resolution Limit

Guanghao Shao

This project presents a novel information-theoretic interpretation of quantum mechanics. The central thesis posits that the Planck constant (h) is not a fundamental physical limit, but a technological threshold of measurement resolution.By applying the "Macro-Deterministic Convergence" framework (derived from large-cardinality information theory), this research demonstrates that "quantum uncertainty" arises from informational attrition during high-energy interaction. As the precision of measurement instruments increases (h to 0), the universe transitions from a probabilistic state to a deterministic one, enabling predictive accuracy of near 100% for macroscopic events. This is the first part of a series exploring the deterministic nature of information.

May 17, 20260 citations

Signal physics

S.G. Basiladze

A classical signal which agrees with the ideas of mathematical analysis on infinitesimal quantities possesses an infinite information capacity, which contradicts the concept of information that is finite by definition. A real signal should have some “threshold” for determining a finite step between its distinguishable states and the “limit” for the possible number of states. This paper considers the influence of the level of required energy, performance, and noise of the receiver on the capability of distinguishing the set of states in the signal. It is shown that the generalized threshold is the constraint on the spectral density of the signal energy and the limit is the constraint on the energy density with respect to time or spatial coordinate. In the microcosm, a signal is a gradient of potential; the constraint of its perception speed in the case of motion results, within the action threshold, in the fact that it changes in kinetic energy with changing potential cannot be determined. As a result, the particle motion turns out defined only in a finite number of “reference” points separated by intervals determined by the information threshold. Between reference points the motion has an uncertain, random, i.e., noisy character. The threshold equation for finding random deviations of motion parameters which should generalize the known Schrödinger and Klein-Gordon equations is discussed. Information transmission capacity of space for electromagnetic signals is estimated based on the analysis of the densities of the threshold and limiting energy.

Physics of Particles and NucleiNov 1, 20095 citations

QUANTUM PROBABILITY FROM CLASSICAL SIGNAL THEORY

Andrei Yu. Khrennikov, Masanori Ohya, Noboru Watanabe

We present quantum mechanics (QM) as theory of special classical random signals. On one hand, this approach provides a possibility to go beyond conventional QM: to create a finer description of micro processes than given by the QM-formalism. In fact, we present a model with hidden variables of the wave-type. On the other hand, our approach establishes coupling between quantum and classical information theories. We recall that quantum information theory has already been used for description of the entropy of Gaussian input signals for noisy channels. The entropy of a classical random input was invented as the entropy of the quantum density operator corresponding to the covariance operator of the input process.1 In this paper, we proceed the other way around: we apply classical signal theory to create a measurement model which reproduces quantum probabilities.

International Journal of Quantum InformationJan 1, 201114 citations

Quantum violation of macroscopic realism and the transition to classical physics

Johannes Kofler

The descriptions of the quantum realm and the macroscopic classical world differ significantly not only in their mathematical formulations but also in their foundational concepts and philosophical consequences. When and how physical systems stop to behave quantum mechanically and begin to behave classically is still heavily debated in the physics community and subject to theoretical and experimental research. This dissertation puts forward an approach to the quantum-to-classical transition fully within quantum theory and conceptually different from already existing models: It neither needs to refer to the uncontrollable environment of a system (decoherence) nor to change the quantum laws itself (collapse models), but puts the stress on the limits of observability of quantum phenomena due to the imprecision of our measurement apparatuses. For a certain class of time evolutions it is this mere restriction to coarse-grained measurements which is sufficient to see the natural emergence of macroscopic realism and even the classical Newtonian laws out of the full quantum formalism. But there also exist "non-classical" Hamiltonians for which a classical spatiotemporal description of the system's time evolution remains impossible even under fuzzy measurements or decoherence. It is argued that such Hamiltonians are unlikely to be spontaneously realized in nature because of their high complexity. The last part addresses the question of the origin of quantum randomness and proposes a link with mathematical undecidability.

arXiv:0812.0238Dec 1, 20085 citations

Deterministic Time-Anchoring of Heisenberg's Uncertainty principle: Resolving Quantum Uncertainty and State Covariance via Relativistic Nested Temporal Boundaries

Rakesh Kumar

This manuscript introduces a novel theoretical framework that reinterprets the Heisenberg uncertainty principle not as an inherent property of quantum randomness, but as a geometric consequence of incomplete temporal context. By treating time as a nested, two-tiered variable—comprising a macro-time superset (T) and a micro-time subset (t)—we formulate a deterministic time-anchor equation constrained at a scale-dependent discrete interval (t). By defining the fundamental anchor constant at the quantum action threshold and integrating a relative relativistic scaling factor (), we demonstrate how this model accommodates expanding and shrinking time under kinematic constraints. Furthermore, we establish a mathematical bridge to de-Broglie’s matter-wave mechanics by mapping a particle's internal rest frequency directly onto the micro-time subset (t). This mapping allows the framework to delineate two distinct operational states: a fluid, unaligned temporal state characterizing wave-like propagation, and a locked measurement state where temporal synchronization collapses the wave function into a localized particle state. We propose a falsifiable empirical test using high-precision electron diffraction loops subject to an independent time-dilation gradient to distinguish this model from Copenhagen-standard quantum mechanics. Finally, we demonstrate that under macroscopic limits, where Planck's constant becomes negligible and relative scaling forces synchronization to a uniform timeline, the framework smoothly reduces to the absolute trajectories of classical Newtonian mechanics. This model effectively transitions quantum uncertainty into a publishable framework of scale-dependent discrete temporal geometry, bridging the quantum-classical divide without the logical paradoxes of traditional hidden-variable theories.

Aug 20, 20260 citations