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In this paper using the Clifford bundle formalism we show how starting fromthe photon concept and its relativistic Hamilton-Jacobi equation (HJE) weimmediately get (with a simple hypothesis concerning the form of the photoncanonical momentum) Maxwell equation (ME) satisfied by a null $2$-form field$\boldsymbol{F}$ which is a plane wave solution (PWS) of ME. Moreover, we showhow introducing a potential $1$-form $\boldsymbol{A}$ such that$\boldsymbol{F}=d\boldsymbol{A}$ we can see how a duality rotation changed in a\ spatial rotation transformation besides showing how $\mathrm{i}=\sqrt{-1}$enters Maxwell theory thus permitting the writing of a representative of ME asSchr\"{o}dinger like equation which plays a key role in answering one of themain questions addressed in this paper, namely: is there any sense in talkingabout photon trajectories in de Broglie-Bohm like theories? To this end weinvestigate first the nature of the energy-momentum \emph{extensor} field ofthe Maxwell field $\mathbf{T}(n)$ in some special situations showing that forsome of those cases $\mathbf{T}_{0}=\mathbf{T}(\boldsymbol{\gamma}_{0})$ evencannot describe the flow of energy. A proposed solution is offered. We alsoprove that there exists a pulse reshaping phenomenon even in vacuum. Finally wediscuss the Schr\"{o}dinger equation for a photon that follows from quantumfield theory and investigate solutions that some authors think imply in photonlocalization. We discuss if such an idea is meaningful. Moreover, we show thatfor such solutions it is possible (once we accept that photon wave functionsare extended in the space and also in the time domains) to derive a generalizedHJE containing a quantum potential and which may lead to non lightlike photontrajectories in free space. We briefly discuss our findings in relation to arecent experiment.

From the Photon to Maxwell Equation. Ponderations on the Concept of  Photon Localizability and Photon Trajectory in a de Broglie-Bohm  Interpretation of Quantum Mechanics