Mario Goto

Publications

• On the equivalence principle and gravitational and inertial mass relation of classical charged particles

  Mario Goto, Paulo Laerte Natti, Erica Regina Takano Natti

  07/2010;

  We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force. It implies, as the strong Equivalence Principle is valid, tha... [more] We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged point particles, actually, is a combination of an applied external force and of the electromagnetic radiation reaction force. It implies, as the strong Equivalence Principle is valid, that the passive gravitational mass of a charged point particle should be slight greater than its inertial mass. An interesting new feature that emerges from the unexpected behavior of the gravitational and inertial mass relation, for classical charged particles, at very strong gravitational field, is the existence of a critical, particle dependent, gravitational field value that signs the validity domain of the strong Equivalence Principle. For electron and proton, these critical field values are $g_{c}\simeq 4.8\times 10^{31}m/s^{2}$ and $g_{c}\simeq 8.8\times 10^{34}m/s^{2}$, respectively.

• Physical Consonance Law of Sound Waves

  Mario Goto

  01/2005;

  Sound consonance is the reason why it is possible to exist music in our life. However, rules of consonance between sounds had been found quite subjectively, just by hearing. To care for, the proposal is to establish a sound consonance law on the basis of mathematical and physical foundations. Nevert... [more] Sound consonance is the reason why it is possible to exist music in our life. However, rules of consonance between sounds had been found quite subjectively, just by hearing. To care for, the proposal is to establish a sound consonance law on the basis of mathematical and physical foundations. Nevertheless, the sensibility of the human auditory system to the audible range of frequencies is individual and depends on a several factors such as the age or the health in a such way that the human perception of the consonance as the pleasant sensation it produces, while reinforced by an exact physical relation, may involves as well the individual subjective feeling.

• Charge Tempered Cosmological Model

  Mario Goto

  01/2005;

  The main purpose of this work is to obtain the metric of a Charge Tempered Cosmological Model, a slightly modified Standard Cosmological Model by a small excess of charge density, distributed uniformly in accordance with the Cosmological Principle, the global Coulomb interaction incorporated in this... [more] The main purpose of this work is to obtain the metric of a Charge Tempered Cosmological Model, a slightly modified Standard Cosmological Model by a small excess of charge density, distributed uniformly in accordance with the Cosmological Principle, the global Coulomb interaction incorporated in this metric. The particularity of this model is that the commoving observer referential where the metric belongs is non inertial, which consequence is that clocks at different position can not be synchronized. The new metric is constrained to k goint to 0, with dependence on a charge parameter, and related to a modified Friedmann equation, but it is constrained to a positive deceleration parameter and the hyperbolic solution . Nevertheless, there are corrections to do, valid just for a long range distances. For example, the red shift has, now, dependences on the gravitational potential together the recessional motion. In any way, this model accepts as well the cosmological constant and its physical counterpart, the dark energy.

• The Equivalence Principle and gravitational and inertial mass relation of classical charged particle

  Mario Goto

  05/2001;

  We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged particles, actually, is a subtle combination of an applied external force and the radiation reaction force. It suggests, as the Equivalence Principle is valid, that the gravitational mass... [more] We show that the locally constant force necessary to get a stable hyperbolic motion regime for classical charged particles, actually, is a subtle combination of an applied external force and the radiation reaction force. It suggests, as the Equivalence Principle is valid, that the gravitational mass of charged particle should be slight greater than its inertial mass. However, an interesting new feature emerges from the unexpected behavior of the gravitational and inertial mass relation at very strong gravitational field, just reachable at the early stage of the universe or, perhaps, near massive black holes, with a divergence that introduces a critical field value. It signs that the Equivalence Principle should not be valid near to this critical field, which certainly coincides where the quantum effects turns to be relevant.