Por Paulo Santos (ISCAL - CEMS.UL).

Logic, in its practical form, is concerned with the discussion of first principles (axioms) and the discussion of the results that follow from them. In this seminar, we bring back to the logical discussion a common theme in the 20th century, especially in the realm of logical positivism: the scientific endeavour. Just like nowadays the foundations of mathematics are discussed in logical contexts, we give new life to the tradition of scientific discussion in logical fora.

We propose a new way to unify General Relativity (GR) with Bohmian Mechanics (BM) that remains faithful to GR’s tensorial and deterministic philosophy. In our approach, the conventional quantum wave function emerges as the scalar con-traction of a tensorial field ψ^μ, namely Ψ = ψ^ν ψ_ν , thereby encoding quantum dynamics in a geometric object. Crucially, the tensor ψ^ν interacts directly with spacetime via the stress-energy tensor, with an auxiliary vector field a^μ serving as the mediator between the quantum and gravitational sectors. We analyze the equations for one single particle without accounting for spin. As an illustrative example, we show that under suitable approximations our formulation reproduces the non-relativistic Schrödinger equation with a Coulomb potential—as encountered in the hydrogen atom. We further establish a dynamical equation for ψ^ν and a corresponding volume-like equation for a^μ.

Transmissão via Zoom (pw: 919 4789 5133).