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hadronic mathematics, mechanics and chemistry - Institute for Basic ...

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Acknowledgments<br />

The author expresses his deepest appreciation in memory of:<br />

— The late Werner Heisenberg, <strong>for</strong> supporting in epistolary exchanges studies<br />

a nonlinear generalization of his celebrated equation (today known as Heisenberg-<br />

Santilli isotopic, genotopic <strong>and</strong> hyperstructural equations at the foundations of<br />

<strong>hadronic</strong> <strong>mechanics</strong>), with particular reference to their treatment via a new <strong>mathematics</strong><br />

capable of reconstructing linearity on generalized spaces over generalized<br />

fields, since Heisenberg dedicated his last years to the evident nonlinear character<br />

of nature;;<br />

— The late Paul A. M. Dirac, <strong>for</strong> supporting in a short but memorable meeting<br />

reviewed in Section 6.2.8, nonunitary liftings of his celebrated equation (today<br />

known as Dirac-Santilli isotopic, genotopic <strong>and</strong> hyperstructural equations) <strong>for</strong> the<br />

representation of an electron within the hyperdense medium inside the proton,<br />

with particular reference to the development of a new <strong>mathematics</strong> eliminating<br />

the vexing divergencies in particle physics, since Dirac spent his last years in<br />

attempting the elimination of divergencies amidst strong opposition by organized<br />

interests on quantum chromodynamical theologies;<br />

— The late British philosopher Karl Popper, <strong>for</strong> his strong support in the<br />

construction of <strong>hadronic</strong> <strong>mechanics</strong>, as shown in the Preface of his last book<br />

Quantum Theory <strong>and</strong> the Schism in Physics;<br />

— The late Ilya Prigogine, <strong>for</strong> pioneering the need of nonunitary broadening of<br />

quantum <strong>mechanics</strong> <strong>and</strong> statistics <strong>and</strong> his personal support <strong>for</strong> the organization<br />

of the Hadronic Journal since its inception;<br />

— The late Italian physicist Piero Caldirola, <strong>for</strong> his pioneering work in noncanonical<br />

broadening of conventional theories, <strong>for</strong> initiating new notions of time<br />

as well as <strong>for</strong> support <strong>for</strong> the construction of <strong>hadronic</strong> <strong>mechanics</strong>;<br />

— The Greek mathematician Grigorios Tsagas, <strong>for</strong> fundamental contributions<br />

in the Lie-Santilli isotheory underlying <strong>hadronic</strong> <strong>mechanics</strong>;<br />

— The late Italian physicist Giuliano Preparata, <strong>for</strong> pioneering anisotropic departures<br />

from the geometric structure of special relativity, extended by <strong>hadronic</strong><br />

<strong>mechanics</strong> into anisotropic <strong>and</strong> inhomogeneous media;<br />

— The late American mathematician Robert Oehmke <strong>for</strong> pioneering work on<br />

the Lie-admissible structure of <strong>hadronic</strong> <strong>mechanics</strong>;<br />

— The late Estonian mathematician Jaak Löhmus whose studies on nonassociative<br />

algebras, with particular reference to the octonion algebra, have been<br />

particularly inspiring <strong>for</strong> the construction of <strong>hadronic</strong> <strong>mechanics</strong>;

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