Mathematical Gateway to Complementary Hidden Variables in Macrophysics

Abstract

It is shown that even physically meaningful and experimentally confirmed formulas of physics and mathematics can be extended by enabling some previously unrecognized (or considered as just fixed) parameters to either vary independently and thus reveal them as previously hidden variables or to turn them into fixed exposure functions whose cumulative impact varies along yet another formerly hidden variable. Uncovering of hidden variables requires (new) synthetic approach to mathematics. The need for revealing hidden variables is prompted mainly by unanticipated experimental results, whose more precise outcomes apparently challenge the previously espoused paradigms upon which those simpler former formulas had been established. Operational rules of calculus can reveal the hidden variables that could extend the laws of classical physics whose predictions disagree with new experimental evidence. Presence of such variables has already been confirmed in several experiments.

With Equalized Mass, its Density of Matter can Affect Radial Gravitational Interactions TOO

“…Hence the density of matter was virtually present as a hidden variable in the Newtonian gravitational equation, but its presence was inadvertently concealed in the traditional formulation of the -radial by default -Newtonian gravitational force field. This assertion agrees with the mathematical discovery of density of matter as a hidden variable of macrophysics, or more precisely as hidden function-variable [8].…”

“…His was clearly superb mathematical genius, but it required work of many others, both mathematicians and physicists, to get to the alternative formulation portrayed in the eq. (8).…”

“…(5) or (8). Formulation of laws of mathematics and of physics surely depends on one's depth of inquiry.…”

“…Since the necessity to take density of matter into account has been confirmed by experiments [2], [3] as well as by purely mathematical analyses of gravitational interactions [9], [8], it may be beneficial to briefly highlight some problems created by ignoring the Newton's ingenious definition and then concisely recapitulate the developments that actually resolved those problems.…”

“…The functional status of the two equations stems from the fact that they pertain to accumulated amounts, not to differentials, which of necessity pertain to functions differentiated therein. I have demonstrated operational difference in treatment of functions versus functionals in [8].…”