Real Signals in the Microcosm

TL;DR

The paper explores the transition from classical to quantum behavior in signals, emphasizing the role of perception thresholds, sub-threshold noise, and algebraic logic in understanding quantum superposition and uncertainty.

Contribution

It introduces a new perspective on quantum constraints in signals, highlighting the significance of perception thresholds and sub-threshold noise in the quantum-classical transition.

Findings

Real signals exhibit quantum constraints above the Planck frequency.

Sub-threshold noise on action persists, related to the uncertainty principle.

Integration of sub-threshold signals leads to superposition states in quantum mechanics.

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.