The Center's research can be classified on three main branches: extension of the canonical theory to embrace new phenomena and experimental data; unification of the available knowledge by showing how traditional and modern theories of physics, chemistry, and biology reduce to special cases of the canonical formalism; revision of traditional and modern theories, precising their field of applicability, with special interest in hot topics debated on specialized literature.
Next, active and proposed programs are described. Go to the research zone on the index for scientific details on each program or contact with the Center for more information.
Physical chemistry embraces quantum chemistry, statistical mechanics, chemical thermodynamics, spectroscopy, and chemical kinetics disciplines. Any of those disciplines can be seen as special cases of the unified canonical theory.
The current emphasis is on chemical chaos, relativistic N-body quantum chemistry, nonlinear thermodynamics, irreversible statistical mechanics, and chemical dynamics on condensed phases.
The term nanothermodynamics was coined by .
This program is devoted to the thermodynamics of small objects as nanoclusters, or smaller as excited nuclei. The links with quantum thermodynamics and thermal field theory (TFD) are also studied.
We are also testing those ideas to the large scale, defined as gigathermodynamics at the Center.
The program studies the relationships between the apparent increase of order in cosmological evolution with the increase of molecular disorder traditionally associated to the second law of macroscopic thermodynamics through epsilon structures. The relationships with Stuart Kaufman fourth law of thermodynamics are also addressed.
Program focusing on the study of a fluctuating multi-universe.
This program also focuses on, foundations for the Brussels School cosmological correlations assumption in Liouvillian extension of quantum mechanics for LPS; the cluster decomposition principle of quantum field theory; statistical mechanics and decoherence theory; and on formal aspects of chemical dynamics.
This program develops a non-linear and thermal generalization of quantum mechanics.
This includes the development of novel techniques, such as a extension of canonical vectors to space, compactification techniques based in algebra de superoperators, convolutionless techniques for memory effects, and the sharp (♯) product –somewhat resembling the star (★) product of noncommutative geometry–.
The formulation is applied to both elementary particles and condensed matter, including the characterization of the master formula of particle physics as a special case of the thermomaster equation.
Testing this new theory in the linear Markovian regime, and the derivation of the semi-empirical theories developed in the last fifty years from at least six different communities –mathematical physicists, laser community, NMR chemists, astrophysicists, solid state physicists, and condensed matter chemical physicists– are two of main emphasis of the thermomaster program.
The program studies the relationships with -like state theories.
Further applications to quark-gluon plasmas could be useful on the development of clean and secure tomahawk fusion reactors.
This program develops canonical rate theory (CRT) for the modelling of the rate of different processes.
The novel SRT approach introduced by and coworkers is a special case arising from CRT in a perturbative series: the first post-SRT correction developed at the Center has been dubbed SRT2. The derivation of the traditional theory ART as special case of CRT, specifying the limits of applicability of the former is another research goal.
Theoretical applications include rates of hydrogen absorption by metals, permeation of ionic channels in biological membranes, temperature programmed thermal desorption, solid crystal dissolution rate, and rates of liquid evaporation. Pharmaceutical catalysis and automobile emissions control are two examples of industrial applications.
This program develops an model for time flow based in causality asymmetry between future and past and characterizes time as different from spatial dimensions. The model uses chronons.
The link with other chronons theories and with resonances on spectral theory is also addressed.
This program is linked also to the classical and quantum gravity program solving the frozen-time paradox of Hamiltonian quantum general relativity.
The Center is introducing a fundamental theoretical framework for random forces over a microscopic non-classical structure of relativistic space 'foam'.
Some applications and subfields of interest are non-linear generalizations of type equations, stochastic hydrodynamics and chemical kinetics, non-linear statistical thermodynamics, dynamics of populations, and generalized / equations.
This program explores a full and consistent unification of Hamiltonian mechanics and relativity. The program advances a modification of special relativity at the quantum level.
Modifications of classical Hamiltonian equations and of and / quantum equations are proposed and applied to different systems, such as pionic atoms.
The QRD program addresses a quantum description for N-body relativistic systems.
The limits of application of relativistic quantum field theory as special formulation for asymptotic states of free fields is another aim. Therefore a generalizations of particle physics to the interaction region is also being explored.
Directly related to the C-QRD program, this one formulates electromagnetism as a relativistic action-at-a-distance theory of charged particles.
The traditional concept of field is recovered as an approximation with limited applicability. This theory solves the limitations and 'paradoxes' traditionally associated to the / formulation of electrodynamics, between others: nonrelativistic limit, self-force, acausality, and null induction.
Relationship with field electrodynamics is also studied.
The new theory is compatible with experimental phenomena uncovered by traditional electrodynamics as one of the / effects –i.e. the deflection of the entire interference pattern due to a classical non Lorentzian force– and the motor –demonstrated by on the March 2002 American Physical Society meeting; on Davis, California–.
A direct unification of general relativity with non-gravitational canonical science, is not desirable because of two motives: first, the unification breaks the beautiful symmetry of the canonical theory; second, any traditional problem of general relativity like quantization, systems of reference, singularities, or energy conservation is recovered.
Therefore, this program takes a different way and explores the application of ideas derived from the QRD program to gravitation. The new theory of gravity is compatible with classicals test of general relativity.
This theory predicts 1/R gravitational forces as those experimentally observed in galaxy dynamics, solving the problem of anomalous accelerations without appeal to –never observed– dark matter. Relativistic generalizations of laws are addressed.
The applications to cosmology are in the target: the nature of the Big Bang, formation of large structures, the flatness problem, and a reexamination of black holes are some of the topics are being currently under research.
In a first attempt the theory appears to solve the mystery of the cosmological 'constant'. A first computation from first principles gets the correct order of magnitude for the last accepted value. This is very interesting because after several decades of intense research values obtained from other approaches as superstring theory are still far by some 50 orders of magnitude.
The five principles of mathematical ecology have been derived using basic underpinnings of the canonical science model.
The program addresses the heated dispute between the two basic models proposed in specialized literature.
There is also some similarity with non-linear economical models, which we are actively exploring.
Devoted to a generalization of usual calculus, there is some link with recent non-standard analysis.
The research is not at level of rigor of mathematics but focuses on scientific applications. For instance to understand relationships of Hamiltonian to Liouvillian formulations of classical mechanics.
This Center's program explores new ways to spread advanced on first-line research into the basic curriculum of both scientific and engineering disciplines in as a short time delay as possible.
Through this program, the Center is actively involved in the divulgation of canonical science to a general public
Thanks to new ways of academic publication, education has been done accessible to communities with small resources such as scientists and students in developing countries.
Accessibility issues are also researched.
This program is devoted to the study of languages, symbols, and communication. Currently only computer languages are studied (e.g. CanonML), but the goal is to study human languages also.
Center's publication model is somewhat at the middle between traditional academic models and novel open-source approaches with expenses being charged to authors or institutions.
This deals with the development of all philosophical features directly derived from the scientific and mathematical pioneering research.
Special emphasis is done on basic questions as reductionism of scientific disciplines, determinism, and human free-will.
This program also tries to solve the traditional tension between the humanities and the physical disciplines that some authors as last examined.
This program advances the state of the art on history of Newtonian theories, chemical bond and quantum theory, and special and general relativity from an analysis of the historical data discovered in recent years.
Next a list of programs are being considered to incorporation in the main directory. The programs are listed in no particular order.
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