1

**New Theories / Re: Is it possible to quantize gravity?**

« **on:**13/04/2018 10:08:05 »

Thank you for your comments, Bogie_smiles

.

The hypothesis proposes a quantum type process in which the mass-energy changes from an alpha state to a beta state, the E.F.E. (or better said, the space-time distortion which is defined by a mathematical model like the established by the Einstein´s Field Equations) is the consequence of that alteration, This way it is established an interrelation between the proposed process and the distortion of space-time, the E.F.E allow us to know the probability of the proposed process taking place for any given coordinate, so that the E.F.E. are giving us information at the quantum level. The process takes place at the quantum level and the result is observed at the macro level as well (quanta components of bodies are affected by that process, producing space-time distortion of bodies). In my opinion, there is no dichotomy between the micro and macro level, the Relativity theory uses terms and concepts like “locally” or “in the vicinity”, because is giving us information at the micro level. The focus should be on the interactions taking place (certainly the source of the gravitational field is the origin of the agent, the gravitational waves, responsible for those interactions). What the hypothesis proposes is that those interactions correspond to a process taking place between the gravitational fields and mass-energy and the space-time distortion is one of the consequences of those interactions. If energy is applied the process is boosted (for instance, applying kinetic energy).

Interaction between gravitational waves and mass-energy changes the state of mass-energy from alpha state to beta state, reducing the quantity of mass-energy in alpha state (that is the reason for the space distortion), the distortion of time which is linked to an increase in the number of statistical trials, restores the value of the mass-energy in alpha state, but now in a curved space-time. This approach can be associated, for example, in the case of the Poisson distribution which has a mathematical relation with the binomial distribution, this one is the result of n Bernoulli´s statistical trials, each one with a probability p of a given result taking place. Where 0<p<1 is associated to the probability of mass-energy changing from alpha state to beta state, being pE the mass-energy in alpha state and qE the mass-energy in beta state, being p+q=1.

The proposed process is an endothermic one ((dt/dτ)mc2- mc2, positive value so that takes energy from the physical system), as the body moves closer to the source of the gravitational field, and it is an exothermic process ((dτ/dt)mc2- mc2, has a negative value, delivering energy to the physical system) if the body is moving away from the source or for example considering expansive scenarios, which implies that an expanding Universe should experience velocities higher than the expected by the Standard Model of Relativity.

The energy required by the process is responsible of an additional distortion of space-time, which modifies the Standard Model of Relativity, or in other words if we want a body to follow the geodesic established by the Standard Model, it is required to provide energy to the body in order to offset the effect of the proposed process, the value of the energy required reaches an infinite value at the event horizon of a black-hole, in a similar way as it is required an infinite amount of energy to get a body reaching the speed of light, both cases the value of the statistical parameter q defined, would reach the value 1. The energy required is (1/p)mc2- mc2 being p=1/ϒ considering the Special Relativity scenario and p= dτ/dt considering the Schwarzschild metric.

Quantum Mechanics dictates that if we want to confine a particle within a region of space-time, it is required energy, the energy required increases as we reduce the region of confinement (reaching an infinite value when the radius is null). If we take into account the proposed process, considering for example a spherical volume, if we want to confine a particle within that region, it is required energy as established by the Heisenberg´s uncertainty principle, the proposed process implies that a factor has to be added (to take into account the effect of the gravitational fields), so that the presence of mass-energy inside that region of space-time increases the energy required (with respect to the Standard Model) to confine the particle, reaching an infinite value at the event horizon when the Schwarzschild radius is reached.

Electromagnetic force, weak and Strong nuclear forces have a probabilistic approach based on Quantum Mechanics. Gravity is not a conventional force but the result of space-time curvature, as established by Relativity, which is a classical theory, not having a probabilistic approach. If the proposed process is taken into account, it adds an additional condition, one consequence of that process is the effect of a force opposed to the free fall (negligible for weak gravitational fields) and now gravity might have a probabilistic approach.

There are other interesting properties, for instance, the simultaneity of events. Relativity establishes that there is not simultaneity of events for Special Relativity scenarios. When we consider the defined approach, we have no simultaneity of events, if measuring with time the interval between two events, but there is simultaneity (not in time) if the variable used is the number of statistical trials instead of the time (noticing that between two events with different frame of reference, do not correspond with the same time but yes with the same number of statistical trials).

.

The hypothesis proposes a quantum type process in which the mass-energy changes from an alpha state to a beta state, the E.F.E. (or better said, the space-time distortion which is defined by a mathematical model like the established by the Einstein´s Field Equations) is the consequence of that alteration, This way it is established an interrelation between the proposed process and the distortion of space-time, the E.F.E allow us to know the probability of the proposed process taking place for any given coordinate, so that the E.F.E. are giving us information at the quantum level. The process takes place at the quantum level and the result is observed at the macro level as well (quanta components of bodies are affected by that process, producing space-time distortion of bodies). In my opinion, there is no dichotomy between the micro and macro level, the Relativity theory uses terms and concepts like “locally” or “in the vicinity”, because is giving us information at the micro level. The focus should be on the interactions taking place (certainly the source of the gravitational field is the origin of the agent, the gravitational waves, responsible for those interactions). What the hypothesis proposes is that those interactions correspond to a process taking place between the gravitational fields and mass-energy and the space-time distortion is one of the consequences of those interactions. If energy is applied the process is boosted (for instance, applying kinetic energy).

Interaction between gravitational waves and mass-energy changes the state of mass-energy from alpha state to beta state, reducing the quantity of mass-energy in alpha state (that is the reason for the space distortion), the distortion of time which is linked to an increase in the number of statistical trials, restores the value of the mass-energy in alpha state, but now in a curved space-time. This approach can be associated, for example, in the case of the Poisson distribution which has a mathematical relation with the binomial distribution, this one is the result of n Bernoulli´s statistical trials, each one with a probability p of a given result taking place. Where 0<p<1 is associated to the probability of mass-energy changing from alpha state to beta state, being pE the mass-energy in alpha state and qE the mass-energy in beta state, being p+q=1.

The proposed process is an endothermic one ((dt/dτ)mc2- mc2, positive value so that takes energy from the physical system), as the body moves closer to the source of the gravitational field, and it is an exothermic process ((dτ/dt)mc2- mc2, has a negative value, delivering energy to the physical system) if the body is moving away from the source or for example considering expansive scenarios, which implies that an expanding Universe should experience velocities higher than the expected by the Standard Model of Relativity.

The energy required by the process is responsible of an additional distortion of space-time, which modifies the Standard Model of Relativity, or in other words if we want a body to follow the geodesic established by the Standard Model, it is required to provide energy to the body in order to offset the effect of the proposed process, the value of the energy required reaches an infinite value at the event horizon of a black-hole, in a similar way as it is required an infinite amount of energy to get a body reaching the speed of light, both cases the value of the statistical parameter q defined, would reach the value 1. The energy required is (1/p)mc2- mc2 being p=1/ϒ considering the Special Relativity scenario and p= dτ/dt considering the Schwarzschild metric.

Quantum Mechanics dictates that if we want to confine a particle within a region of space-time, it is required energy, the energy required increases as we reduce the region of confinement (reaching an infinite value when the radius is null). If we take into account the proposed process, considering for example a spherical volume, if we want to confine a particle within that region, it is required energy as established by the Heisenberg´s uncertainty principle, the proposed process implies that a factor has to be added (to take into account the effect of the gravitational fields), so that the presence of mass-energy inside that region of space-time increases the energy required (with respect to the Standard Model) to confine the particle, reaching an infinite value at the event horizon when the Schwarzschild radius is reached.

Electromagnetic force, weak and Strong nuclear forces have a probabilistic approach based on Quantum Mechanics. Gravity is not a conventional force but the result of space-time curvature, as established by Relativity, which is a classical theory, not having a probabilistic approach. If the proposed process is taken into account, it adds an additional condition, one consequence of that process is the effect of a force opposed to the free fall (negligible for weak gravitational fields) and now gravity might have a probabilistic approach.

There are other interesting properties, for instance, the simultaneity of events. Relativity establishes that there is not simultaneity of events for Special Relativity scenarios. When we consider the defined approach, we have no simultaneity of events, if measuring with time the interval between two events, but there is simultaneity (not in time) if the variable used is the number of statistical trials instead of the time (noticing that between two events with different frame of reference, do not correspond with the same time but yes with the same number of statistical trials).

The following users thanked this post: Bogie_smiles