A genuine reinterpretation of the Heisenberg's ("uncertainty") relations

TL;DR

This paper critically reexamines Heisenberg's uncertainty relations, arguing they are flawed and should be viewed as classical fluctuation formulas, with Planck's constant indicating quantum stochasticity rather than serving as a fundamental physical limit.

Contribution

It provides a reinterpretation of Heisenberg's relations, demonstrating their deficiencies and proposing they are akin to classical fluctuation formulas rather than fundamental physical constraints.

Findings

Heisenberg's relations are fundamentally flawed and should be abandoned.

They are equivalent to classical fluctuation formulas.

Planck's constant indicates quantum stochasticity, similar to Boltzmann's constant in thermal contexts.

Abstract

In spite \smallskip of their popularity the \QTR{bf}{H}eisenberg's (``uncertainty'') \QTR{bf}{R}elations (HR) still generate controversies. The \QTR{bf}{T}raditional \QTR{bf}{I}nterpretation of HR (TIHR) dominate our days science, although over the years a lot of its defects were signaled. These facts justify a reinvestigation of the questions connected with the interpretation / significance of HR. Here it is developped such a reinvestigation starting with a revaluation of the main elements of TIHR. So one finds that all the respective elements are troubled by insurmountable defects. Then it results the indubitable failure of TIHR and the necessity of its abandonment. Consequently the HR must be deprived of their quality of crucial physical formulae. Moreover the HR are shown to be nothing but simple fluctuations formulae with natural analogous in classical (non-quantum) physics. The description of the maesuring uncertainties (traditionally associated with HR) is approached from a new informational perspective. The Planck's constant $\hbar $ (also associated with HR) is revealed to have a significance of generic indicator for quantum stochasticity, similarly with the role of Boltzmann's constant k in respect with the thermal stochasticity.