Spectral theory and operator methods
Self-adjoint operators, spectral projectors, resolvents, variational principles, and the analytic structure of physical evolution.
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Theoretical physics · Mathematical chemistry
Mathematical structures for fundamental physics and theoretical chemistry
Research across spectral theory, quantum foundations, gravitation, and theoretical chemistry—where rigorous mathematics meets fundamental physical questions.
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Spectral TheoryQuantum FoundationsGravitationTheoretical Chemistry
Research architecture
Four programmes, one standard of mathematical control.
The laboratory develops analytic and computational frameworks in which physical interpretation follows from explicit mathematical structure, not the reverse.
Quantum foundations
A precise separation of amplitudes, observables, probability laws, state updates, currents, and experimental records.
Gravitation and cosmology
Geometric field equations, relativistic consistency, early-universe structure, and analytically controlled dynamical models.
Theoretical and quantum chemistry
Molecular Hamiltonians, electronic structure, spectral constraints, intermolecular interactions, and multiscale physical modelling.
Working method
Proof, physical interpretation, and computation in one chain.
Problems are developed from explicit hypotheses through operator or geometric structure to physically testable consequences. Numerical work is used to interrogate the model, not to conceal an undefined one.
Domains before formulas
Operators are stated together with their spaces, domains, boundary conditions, and regularity assumptions.
Structure before interpretation
Physical claims are separated from the mathematical objects that support them, with no slogan replacing a proof.
Checks before conclusions
Limits, dimensions, asymptotics, normalization, and numerically accessible consequences are treated as part of the argument.
Scientific collaboration
Serious questions benefit from serious disagreement.
Cosmo Physics Labs welcomes focused collaboration on mathematical physics, quantum theory, gravitation, molecular modelling, and problems that require a clean interface between analysis and computation.
Productive exchanges begin with a precise question, a declared mathematical setting, and a shared willingness to test the weakest point in the argument.
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About
Theoretical research from Campinas, Brazil.
Professor Cesar A. Cohen de Mello leads the Division of Theoretical Physics at Cosmo Physics Labs. His work connects functional and spectral analysis, quantum theory, gravitation, cosmology, and theoretical chemistry through explicit mathematical models.
The laboratory is organised around long-form research, critical discussion, and technically transparent results suitable for scrutiny, extension, and independent reproduction.