2. Possible Cause for Gravity’s Weakness
In this work, a hypothesis has been developed that can explain gravity’s weakness. This proposed hypothesis is the requirement that each fundamental force, including gravity, be associated with, and fundamentally defined in our universe, by a specific, unique family of particles. This also implies a chronological sequence of particles. The connection and behavior between a force and its associated family of particles is not an ad hoc assumption and will be seen here to be a necessity. The groups of particles associated with their related forces, even for gravity, have been identified and are presented here. This relationship of particles and forces not only explains the feebleness of gravity, but seems to present answers to other universe unknowns and will be pursued here on a limited basis.
The associated family of particles of the long-range electrostatic force are the charged leptons. There is a significance and a necessity as to why the lepton and quark families have two members per generation. For the leptons, it is always a charged state and a neutrino per generation. The significance of this relationship concept is not only with the electrostatic force and lepton states, but it also has dependence, as will be seen, upon the quark family and even over the proposed gravity family of particles and force. The dependence of a specific force strength to its own associated states is through the mass of the associate member particle which is the smallest (least) non-zero generation of each group of associated states. For the electrostatic long-range force, this is the electron. However, since the neutrino is also present along with the electron in the first or the least generation, the force “must split.” The split forces are related with one another, and exhibit similar fundamental behavior to the unsplit force. Complications of forces arise from the requirement that the quarks, as well as the leptons, must exist to cause our universe and, in turn, gluons with color and small separations are required. Because of the quarks (can be “assumed” as modified “rotated” leptons?) the neutrino can cause complications for its force, but without the quarks our universe (WE) cannot happen.
For gravity there is no known associated family of states and therefore no known least generation similar to the electron, or the neutrino, or even the u and d quarks. We know however, that gravity exists, which by the proposed hypothesis indicates that a gravity associated family of particles absolutely must exist as given by [
1] (Ierokomos N., 2011) and [
2] (Ierokomos N., 2011). Assuming this to be true for such group of particle existence, some of the shortcomings of the SM about gravity and possibly some other major unknowns in the universe can be solved. Unknowns such as dark matter, or why the limit of three and only three generations of leptons and quarks exist. This hypothesis also appears to solve one of the most important mysteries in the universe. Every cosmology theory assumes that the universe must start with equal amounts of matter and antimatter. That is a problem then of where all the antimatter is, to balance the known detected or assumed excess matter, and ensure that the universe does not annihilate itself. Gravity by this hypothesis therefore, at a minimum, requires an associated, previously unknown family of particles. This hypothesis determines that the strength of the long-range forces with massless exchange states, have a clear and simple dependence on their associated states. It was found that the strength constant
, of a specific force, here for now, the long range of gravity and of electrostatics (
G,
) is inversely proportional to the mass squared of the associated member particle with the lowest (least) generation,
, from each fundamental associated family of particles.
This elevates the generation value to a conserved parameter. Neutrino oscillations and complications are special cases. The above relationship of inverse mass squared holds even for the neutrino and is applicable for all forces including gravity. If this is true, the number and strength of all fundamental forces can be predictable because the masses of the least generations of the leptons and quarks are known. The electron and neutrino for the leptons, the up and the down quarks for the quark family and the here proposed particles for gravity. For the long-range electrostatic force, the mass of the lowest generation particle “needs” to be a charged particle and is taken as the mass of the electron, or
. Also, for the other part of the split lepton force (electron and the neutral neutrino) a value for the rest mass of the neutrino, based on the stability and mass of the proton is taken as the mass that was determined in 1979 as
g (in cgs) [
3] (Ierokomos N. 1984). This value for a neutrino by Eq. 1 indicates a very strong force compared to that measured for gravity. This strength by the proposed hypothesis indicates possibly some strong anomaly, or erroneous application, or the force is complicated, very strong and becomes apparent at GUT value and very small distances. Also, quarks, gluons, the strength, and the color “force” in the same domain add to the complications. In addition, a reduction by a factor of
was found to be necessary to the above neutrino mass value when all particles participating in the neutron beta decay were considered (
). The masses of these quantized particles may indicate a relationship of particles to each other and to the universe. The neutrino, small mass and complicated behavior, may be related to gluon and color force by a process that is not currently understood. This “neutrino-based” force, cannot be explained in greater detail presently other than determining its strength by Eq. 1.
The stable composite proton has a role in these particles, to indicate that perhaps some relationship of the fundamental masses is followed by the particle masses in the universe. The proton seems to be taking the role of a fundamental state of the third generation. If this is the case, the proton is stable and cannot decay in our universe. Because of this relationship, the proton is what it is. It is a composite of 2+1 quarks that absolutely must act as a fundamental state. This means that the force holding the quarks together must be the strongest of the forces but remain as separate quarks to cause our universe (Pauli exclusion principle).
For the neutron decay (
) it is the mass of the d, or u, quarks, with mass
, or
defining the strength of the “weak nuclear” force. The mass difference of the “basis” proton mass,
, to the electron mass
, at the neutron decay is:
or fine structure constant and
, giving the electron mass
, a value as measured from the basis proton mass as approximate:
The value is based on the composite proton mass but the fundamental lepton mass, determines the proton mass, because the universe dictates the values. Also, the mass “difference” from the electron mass
, to the above antineutrino mass,
in the neutron decay, may indicate correlation to the universe and is taken as
giving the neutrino mass
by the electron mass
as:
This is approximately 0.65 eV/
for the rest mass of the neutrino. This value compares to the value estimated by the recent KATRIN Collaboration of
eV/
[
4] (Beglarian, A. E., et al, 2021). Because of these complications and the close relationship of leptons and quarks to each other, the strength of this “neutrino force,” relative to gravity would be very strong, and more complicated. It appears that as a result of this particle-force concept some behavior can be assumed. The first critical assumption is that there is a force associated with every least generation of fundamental particles. Also, every such force must have massless exchange states with the speed of light and a range dependent on the range of its fundamental particles. These exchange states are the gravitons, the photons, and the complicated gluons. To show that this hypothesis is valid, the strength of each force is calculated by Eq. 1, and compared to the experimental published value. To compare values, each force is compared to the gravity strength taken as the unit (1) of strength and then to the known value. The neutrino force is presented out of sequence because of the complications.
The strength of this neutrino-based force by Eq. 1 becomes equal to what is known as the strong nuclear force by gluons holding quarks together as protons and others. The known nuclear forces (strong and weak) follow similar rules but with a complicated fashion that is not currently entirely understood of the strong nuclear and neutrinos. As mentioned, for gravity the associated states are currently unknown, but in the 1980s these states were postulated and were named by the author “xena”, (). These xena present an impact not only as the gravity particles but surprisingly also assume some changes in the big bang observations such as what is dark matter. All families of states perhaps have a related dependence with sequential cause with each other and why they interact as they do. These proposed xena are required to be fundamental and massive bosons almost up to the GUT and the Planck mass range. All are of spin one, no charge and of even, 2, 4 and 6 generations with mass value opposing the generation value. The reason for this opposition at first made no sense, but then it was found that the decay of the xena would force the causing of the leptons and quarks on the path to our present universe. This orientation must also all be at the start either matter or antimatter “hinting” of a unidirectional (expanding) universe by a cosmic symmetry break at its creation causing of CP problem. The xena parameters are deduced, because of a similar process as the leptons and photons of zero rest mass exchange states. In this case gravity, also because of some assumed characteristics of the infant developing universe. The reason leptons and quarks are spin and two members per generation is because of the way these proposed xena decay. That decay is because of conservation rules in spin and generation that force the non-gravity associated states to have two leptons, or two quarks for each generation of associated states. Because of this relationship, leptons and quarks appear not to be states of initial or primary population at the start of the universe. They appear to be of a secondary “daughter” population materializing at the xena decay. These findings are used to determine the details of the xena associated family of particles for gravity. The value of the mass of the least generation (second) of these gravity xena is identified and determined below.
These proposed xena states appear to complete the relationship of forces and particles to each other and to the universe. The xena therefore, will be seen to be the key to the feebleness of gravity and perhaps to a lot more concepts. A graviton, as predicted by this hypothesis, must be of zero rest mass and spin 2 (tensor) exchange state because of these xena. The associated family of xena particles for gravity must be bosons with spin one and must be left-handed if matter. This conserved chirality, and some of the CP problem appears to be because of a symmetry breaking and matter antimatter separating at an initial specific phase of the universe. The xena decay also forces the neutrino to be left-handed if it is matter.
There are other differences of the xena gravity family of particles. The xena are required to be totally “blind” to all forces except for gravity. One observational proof of this least strong interaction, may be the lack of observance of expected reduction of rotational speed of bar galaxies by dark matter friction indicating that dark matter is made of xena with gravity minimum interaction as detailed below. This proposed behavior with forces and particles is by the presented hypothesis crucial for the understanding of the universe and its coupling to the (required quantized) particles. Some simple calculations are made here to show that such gravity associated xena particles, can exist and may be shown to exist and can be detected. The calculation to find the mass of the unknown xena of minimum generation, uses the known electrostatic long-range force and the value of the gravity long range force. The xena-2 is the least generation xena state. It is the minimum but not the number one generation of the xena family of particles. The xena, are all of even generations (2, 4, 6) and attractive. The smallest (non-zero) generation of the xena is therefore the second generation. This mode is required because the xena are considered the primary states in the universe and provide the particles to cause atoms (electrons, protons, and neutrons by xena decay into baryons in a more mature universe). This second, or least, generation of the xena associated state is one of three boson states in the xena family as with the lepton and quark fermion families of three generations. The cause for three generations in the lepton and quark states is because of these three xena primary states. To complete this xena family, a mass/energy “progenitor” xena () scalar matter-antimatter neutral, “approaching” the Planck mass also needs to exist. This can be taken as zero generation (symmetric universe). By the two following xena decays Nature has guaranteed the universe to be only as “designed” and not random, but minimum and sufficient. The only randomness allowed is for the universe (and us) to be either matter or antimatter with everything else dynamically the same, but opposite.
Because we know some neutrino parameters, by definition it is easier to identify for a plus subscript, in a given particle symbol here to indicate an antimatter state and a minus subscript indicates matter. The following two decay equations of the progenitor causing the xena (separation in equal matter and antimatter) indicate the future state and complexity of the universe. Also, Eq. 4a defines where all the antimatter can end up in our universe after some decays. It also defines why there are three and only three generations of leptons or quarks. For an expanding, ageing universe the following two decays of the progenitor to xena lead to “either, or,” type of universe. That is if the decay is:
This equation 4a (after a photon phase of the universe) can be shown to lead to a matter universe path, with matter baryon dominance, as observed.
Or alternatively, if it has decayed into:
This (Eq. 4b) can be shown to lead to an antimatter universe with antimatter baryon dominance. Either of the universe can have the same complexity of everything else and either would preserve symmetry of equal matter-antimatter and avoid annihilation. As mentioned above, the specific cosmic broken symmetry locks the universe into only one mode. Either always Eq. 4a, or Eq. 4b. other modes go to mostly energy by annihilation. Also, the Eq. 4a is what our universe seems to have experienced. That is indicated by the dark matter, behaving as if indeed it is made up of particles, as proposed (see below). It seems that the behavior of the universe can bias particle behavior. In the search for the method of decays of the xena it was found that the decays for the second and fourth generations of xena, were complicated, but introducing some assumptions, paths leading through leptons and mesons including s and s to hadrons at high energy and then to the known particles and may be found as needed. The decays must be balanced first in leptons and quarks.
The least massive xena-6 (
, Eq. 4a) for our universe should be stable and be antimatter, but can only interact by gravity and appears it cannot annihilate directly with baryons. Annihilation for
, is perhaps only via destructive collision, but satisfying balance of matter and antimatter. This quantity of three types of xena, and four in number (Eq. 4a) is absolutely the minimum and sufficient number and type of particles needed at the start to cause our universe as it is, in both matter and antimatter. The xena, which are assumed to be the primary states, by their decay split and forbid the secondary “daughter” lepton and quark states to be of generations exceeding those of
that of the xena. This is why there are three and only three generations of leptons or quarks and two fermion members per generation. Also, the boson spin one xena, are “split” in two to the fermions. To find the mass of the xena state of least generation
,
is assumed here to be equal to one. The known ratio of strength of gravity and electrostatic force is used with the following gravity constant
G (
) and of electrostatic
, are presented by their associated particle values. The Newtonian constant (
cgs) the fine structure constant, (
) the electron mass (
g) the proton mass (
g) representing stable quark composite (d and u quarks) the electrostatic charge (
g · cm
3· s
−2) are used in this calculation. Then, the ratio of strength of the two long-range forces of gravity constant
G and of electrostatic
are presented by their associated particles of xena, leptons and quarks and is given as inverse mass squared of their associated least generation states:
The xena mass of the least generation upon which the strength of gravity is dependent, is the second generation of xena (
) and is from Eq. 5:
This is in the GUT and almost to the Planck range, where the forces appear to becoming equal.
It is interesting that the three masses (, , ) form a sequence of generation of one, two and three. This least generation for gravity , is a massive ( g) particle that will make gravity extremely weak by Eq. 1. If use of the proposed inverse mass squared hypothesis with least generation is made, one can show the relative ratio of strength of all the fundamental forces compared to gravity as shown here. The values determined are all substantiated by observed published values presented below.
For the weak nuclear force, the “up” quark mass (
g) is in the least generation. The strength of the weak force depends strongly on the separation distance of particles and what is used to determine the strength here is the up quark. For the quark-force, or weak nuclear the strength appears as simply to be the ratio of masses. Published weak nuclear strength value is
stronger than gravity. The proposed method is:
Along with the u-quark that can form the weak nuclear interactions, there is the d, quark that would have slightly lower strength if there is a separate force, because the d, is approximately two times more mass. Compared to gravity the strength of the d-force would be in this range for the given difference of mass.
For distances of less, cm. This d-force is similar to the above weak nuclear force, or the u-force. There are some benefits to considering the u- and the d- as two different forces in explaining the behavior of the weak and the strong nuclear inside the nucleus. Even considering them as one positive and one negative. The neutron beta decay, see below, may provide some clues for these possible separate forces.
The electrostatic force compared to gravity is well known, but by the proposed finding, based on the least generation (electron) the strength is:
Or published as for the electrostatic e-force with the value compared to “one” for the strong nuclear force or compared to gravity.
If this proposed hypothesis is valid the following particle families and forces are dependent on each other. Gravity with xena
, electrostatic with electron, e-force. Weak nuclear u-force? Weak nuclear d-force? This presents four forces by this hypothesis. There are four forces known, but the ones presented here leave the strong nuclear force and the expected neutrino-force unaccounted. It appears that there is a force required for each least generation of a family of particles. Also, it seems that every fundamental particle group needs a massless per pair set of exchange states of forces. Gravity with the xena has the spin-2 graviton. Leptons have the photons with the spin-1 and quarks have the spin-1 gluons. Three groups of particles with three forces with massless exchange states. The exchange states with mass (W,Z) are not included here. To determine the neutrino-force strength, the mass of the neutrino must be found and used. The neutrino mass as stated, is a value given in 1979 above, and corrected as
g. If one assumes that the proposed behavior, or the mass of the least generation is again the primary driver the neutrino as a particle can be taken to define the strength of a neutrino-force similar to those above. By this, the neutrino with the smallest mass is
g. Any particle by Eq. 1 can have its force to be the strongest force proposed compared to gravity and would therefore be the neutrino for the known particles:
The connection of neutrinos and gluons, yet needs to be found. It seems that simply, if the neutrino deep in the nucleus, “transforms” to cause gluons and quarks (mesons) what is known as the strong nuclear force could be this strong “neutrino-based” force without the need of an additional particle group. Also, it can be taken that the quarks inside the nucleus can undergo a mass (energy) increase. By this proposed inverse mass squared behavior, perhaps the strength of the force diminishes as the mass/energy increases in the least generation of quarks within the nucleus. This can be presented in quarks as a form of “asymptotic freedom” with increasing energy or decreasing separation. Also, an increasing separation resulting in less energy could increase the strength of the force with increased separation, or as “quark confinement.” This, if real, hints of special coupling of particles with the fields present. It is puzzling why the neutrino and strong interactions seem to be related. At the environment of gluons however it is difficult to separate domains. The neutrino may be the key that opens the gate to new physics.
The proposed relationship for the strength of the forces as presented by the least generation method appears to be correct and can provide more information. The quarks as well as the leptons both have two members per generation. By the proposed hypothesis particles and forces have to align with each other and the concept is strong for alignment to use for other unknowns. The least generation to determine the strength of the fundamental forces indicates that a force needs to exist for each least generation of fundamental states. If this is correct, there is a force missing for one of the quarks.