The mathematical, physical and chemical
theories of the 20th century are invariant under time reversal because
they intended to represent reversible systems. For instance, Lie’s
theory has no orderings allowing its interpretation as representing
the two directions of time: quantum mechanics was built as a reversible
theory in order to represent the reversible structure of the hydrogen
atom and quantum chemistry was built as an equally reversible theory
to represent the equally reversible hydrogen and other molecules.
Despite their historical
achievements, the above mentioned 20th century theories had evident
limitations for the prediction, quantitative treatment and industrial
development of much needed new clean energies. This is so, because
all energy generating processes, whether dealing with nuclear fusions
or chemical combustions, are irreversible processes over time.
During his Ph. D.
studies in the late 1960s, the Italian-American physicist R. M.
Santilli set as the main goal of his research the construction of
irreversible mathematical and chemical theories more adequate for
quantitative studies of new clean energies and fuels.
For this purpose,
in 1967 Santilli selected Albert's notion of Lie-admissible algebras
as an irreversible covering of Lie algebras. He then proposed the
construction of irreversible coverings of quantum mechanics and
chemistry with Lie-admissible structure, today known as hadronic
mechanics and chemistry. Those proposals received the main impetus
in 1979 when Santilli joined the Department of Mathematics of Harvard
University under several DOE contracts (ER-78-S-02-47420.A000, AS02-78ER04742,
DE-ACO2-80ER10651; followed by DE-ACO2-80ER-10651.A001; DE-ACO2-80ER10651.A002).
initially achieved by lifting the conventional universal enveloping
associative algebra of a Lie algebra into two associative envelopes,
one with all multiplications ordered to the right (physically representing
motion forward in time), and the other with all multiplications
ordered to the left (physically representing motion backward in
time). Subsequently, the achievement of mathematical, physical and
chemical consistency required the differentiation of the basic units
and other aspects for each time direction.
Thanks to the participation
of a large number of mathematicians, physicists and chemists, Lie-admissible
coverings of 20th century theories reached maturity not only for
initial, axiomatically consistent scientific studies, but also for
the industrial development of new clean energies and fuels produced
nowadays in various countries.
The aim of the Conference
is to identify the status and usefulness of Lie-admissible studies
in pure and applied mathematics, theoretical and experimental physics,
chemistry, biology and engineering: work out on new and open problems
and set the foundation for additional basic advances for irreversible
processes in all quantitative sciences. Due to the urgent need for
new clean energies and fuels caused by increasingly alarming environmental
problems, and their sole realistic solution via collegial efforts,
all scientists working with irreversible processes are welcome to
actively participate and contribute in this international conference
on Lie-admissible treatments of irreversible processes.
A short summary of Lie-admissible formulations and main references
are available in free pdf format at: