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Mathematical Foundations of the Relativistic Theory of Quantum Gravity

  1. Jun 1, 2012 #1

    I would like to bring to discussion this paper called "Mathematical Foundations of the Relativistic Theory of Quantum Gravity", by Professor Fran de Aquino, from the Maranhao State University, in Brazil.

    The paper was published in the Pacific Journal of Science and Technology:


    It was published in the Volume 11, Number 1 (May/June 2010), and can be downloaded from this link:


    Abstract: Starting from the action function, we have derived a theoretical background that leads to
    the quantization of gravity and the deduction of a correlation between the gravitational and the inertial
    masses, which depends on the kinetic momentum of the particle. We show that the strong equivalence
    principle is reaffirmed and, consequently, Einstein's equations are preserved. In fact, such equations
    are deduced here directly from this new approach to Gravitation. Moreover, we have obtained a
    generalized equation for the inertial forces, which incorporates the Mach's principle into Gravitation.
    Also, we have deduced the equation of Entropy; the Hamiltonian for a particle in an electromagnetic
    field and the reciprocal fine structure constant directly from this new approach. It was also possible to
    deduce the expression of the Casimir force and to explain the Inflation Period and the Missing Matter,
    without assuming existence of vacuum fluctuations. This new approach to Gravitation will allow us to
    understand some crucial matters in Cosmology.
  2. jcsd
  3. Jun 1, 2012 #2
    Professor Fran de Aquino claims that his theory can lead to the development of a device called the Gravity Control Cell, which has the property of reducing, to annul, to invert and to intensify the intensity of the local gravity.

    What do you think about his theories?
  4. Jun 1, 2012 #3


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    If his theories say this is possible then I'd say they are most likely a load of hogwash.
  5. Jun 1, 2012 #4

    Just because of that?

    What about the formulas and mathematical analysis that he presents in the paper?
  6. Jun 1, 2012 #5


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    Science Advisor

    Well, he doesn't just throw words around, like most articles of this nature. There are derivations, and at least the start looks solid enough. I would not make any calls on it without reading through and understanding the whole thing. Since it doesn't really require any deep understanding of Quantum Mechanics or General Relativity, I encourage everyone to read it and make their own conclusions. Even if it's completely wrong, finding flaws in well-written articles is a good exercise. You'll only need a solid grasp on Lagrangian Mechanics and Special Relativity to follow along, by the looks of it.

    This will take a while, though. So I'll make further comments once I've read the thing.
  7. Jun 1, 2012 #6

    Many thanks for taking your time to analyse it.

    I'm not specialist in Special Relativity, so I have some difficult to understand the paper.

    I would love to see some opinions about it...
  8. Jun 2, 2012 #7


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    A few selected excerpts from “Mathematical Foundations of the Relativistic Theory of Quantum Gravity” by Prof. Fran De Aquino:

    p. 199
    Since the gravitational interaction can be repulsive, besides attractive, such as the electromagnetic interaction, then the graviton must have spin 1 (called graviphoton) and not 2. Consequently, the gravitational forces are also gauge forces because they are yield by the exchange of so-called "virtual" quanta of spin 1, such as the electromagnetic forces and the weak and strong nuclear forces.

    p. 218
    The idea that we make about a consciousness is basically that of an imaginary body containing psychic energy and intrinsic knowledge. We can relate psychic energy with psychic mass (psychic mass= psychic energy/c2). Thus, by analogy with the real bodies the psychic bodies would be constituted by psychic particles with psychic mass. Consequently, the psychic particles that constitute a consciousness would be equivalent to imaginary particles, and the psychic mass, of the psychic particles would be equivalent to the imaginary mass…

    p. 221
    On the other hand, we may also infer, from the above that the existence of the Supreme Consciousness has no defined limit (beginning and end), what confers upon It the unique characteristic of uncreated and eternal.
    Since the Supreme Consciousness contains all consciences, it is expected that It also contain all the knowledge. Therefore, it is also omniscient. Consequently, it knows how to formulate well-defined mental images with psychic masses sufficient for its contents to materialize. In this way, It can materialize everything It wishes (omnipotence).

    p. 227
    From all the preceding, we perceive that Psychic Interaction – unified with matter interactions, constitutes a single Law which links things and beings together and, in a network of continuous relations and exchanges, governs the Universe both in its material and psychic aspects. We can also observe that in the interactions the same principle reappears always identical. This unity of principle is the most evident expression of monism in the Universe.

    After consideration of just the above passages I have decided: in my humble opinion this is a complete fantasy from a deranged mind. Don’t waste one more minute even thinking about Professor Fran De Aquino. And learn not to trust anything published by The Pacific Journal of Science and Technology.
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