Singh’s quantum matter gravity (QMG) unification of gravity and charge is a very exciting development and is especially so for me since QMG has many of the same puzzle pieces as does my quantum matter action universe puzzle. Basically, QMG defines aikyon particles as the generic aether of the universe and so QMG builds electrons, protons, neutrons, and all else with either fermion or boson...

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Singh’s quantum matter gravity (QMG) unification of gravity and charge is a very exciting development and is especially so for me since QMG has many of the same puzzle pieces as does my quantum matter action universe puzzle. Basically, QMG defines aikyon particles as the generic aether of the universe and so QMG builds electrons, protons, neutrons, and all else with either fermion or boson aikyons. An 8-D octanion matrix represents each fermion and boson and has the correct quantum spin symmetry for both charge and gravity.

Then QMG uses Connes time, tau, and classical Euclidean or atomic time emerges from QMG. As a result, QMG defines a new constant of tau = 1.0e17 s or 3.2 Byrs, but in Connes time, not atomic time. Alain Connes proposed tau as thermodynamic time, i.e. entropy or temperature time, as have many others in the past. This is a universe or cosmic time that defines the evolution of the universe and so now QMG cosmic time is different from atomic time.

Another key to QMG is in continuous spontaneous localization, CSL, which is a very well know theory for the collapse of the quantum wavefunction conundrum. So CSL is how the reality of classical gravity relativity emerges from QMG. That is very fun…

The 1e-39th scaling between gravity and charge emerges from the ratio (L/Lp)^2, and both L and Lp are characteristic lengths that each come from known constants. The Planck length is Lp and QMG length L is hslash / (m c), a characteristic length that scales as 1 / mass times hslash / c.

Dark matter simply emerges as a vector gravity from QMG and does not therefore need a new particle at all. However, there are many pesky singularities with various aspects of QMG as Singh repeatedly notes, but QMG does manage to dodge the renormalization problem for gravity in quantum field theory.

Octonions are eight dimensional matrices that unify gravity and charge in a QMG 8-D space. Instead of atomic time, Singh uses thermodynamic or entropy time, tau, which was proposed by Alain Connes and so Singh calls tau Connes time, but many others have proposed entropy as the time arrow as well. Of course, the classical evolution of the universe is what drives thermodynamics and entropy and so Connes time is also equivalent to a universe cosmic time as well.

The deep dive of QMG into octonion algebra is quite complex and it is not yet clear if the really simple QMG assumptions really justifies the rabbit hole of octonionic complexification. A classical 4-D spacetime emerges from the QMG trace of just half of the 8-D octonion matrix and then quantum spin emerges from the other octonion 4-D half. The QMG introduces 4-D aikyons to represent fundamental octonion fermion and boson particles along with QMG length (L), gauge (alpha), and fermi matrices (beta1, beta2). Each 4-D fermion has progress variables that scale with QMG L, qF and fermion mass from momentum of velocity qdotF and each 4-D boson is on a path, qB with boson mass qdotB. The dot above the q is a single derivative in Coones time, which is velocity in 8-D QMG space and velocity is proportional to momentum and therefore mass. Likewise qddot is the double derivative, which is acceleration and proportional to 8-D force.

The next step is to renormalize qB and qF into q1 and q2 to make things pretty and avoid some ugly math...with an even deeper rabbit hole, so buckle up. The QMG aikyons are now either commutating bosons [qB,pB] from which classical gravity relativity emerges or noncommuting fermions {qF,pF} as quantum field theory emerges. The QMG paths q1 and q2 now have both symmetric and antisymmetric superpositions as well as momenta, from which mass emerges a la Higgs boson.

Now these renormalized paths and momenta show the classic quantum uncertainty noncommutation: [p,q] = -ihslash...so voilá! The Hamiltonian wave equation follows with frequency eigenvalues and quantum oscillating phase wavefunctions ...oops, QMG still has some convergence issues hiding here and there...and so there are many more papers to write…

The QMG goes down a very deep rabbit hole because multiplying 8-D matrices results in two 64-D matrices with a total of 128 matrix elements. Wow! This will be a lot of papers in the future...

Although QMG has many of the features of quantum gravity, it is not yet completely clear if the complexity of octonion algebra is really necessary for quantum gravity. After all, matter action has many of the same features, but only uses 3-D, not 8-D. However, the dimensions of matter, action, and quantum phase unite gravity and charge into a very nice quantum universe with a Lagrangian, density matrix, and creation/annihilation operators, and so on. The quantum matter action causal set has all of the properties such as a Lagrangian for action. Quantum matter action also shows that dark matter emerges as a vector gravity force, not a new particle.

The matter action photon is the basic dipole exchange particle for charge and the universe biphoton is the basic quadrupole exchange particle for gravity. Just like the QMG aikyon, matter action has a pervasive aether particle that makes up the whole universe. Matter action aether particle comes from the universe pulse time, tau. Instead of using the dimensionless QMG L / Lp for gravity scaling and QMG Connes time, tau, matter action uses the dimensionless scaling of the universe radius over the Bohr radius, Ru / Rb. Thus, instead of an arbitrary QMG L, matter action defines the universe radius.

Connes or entropy time represents the primary QMG quantum time dimension, tau = 1e17 s or 3.2 Byrs. Matter action universe time is tau = 1.2e-17 s, but comes from the time pulse of the universe size, Ru. Atomic time emerges from both QMG and matter action as the classical time of gravity relativity, and so the second primary dimension of universe time plays a key role in quantum gravity relativity.

Finally, the QMG length L is inversely proportional to particle mass and so for hydrogen, L = 2.2e-16 m, which turns out to be too small for CSL hydrogen. Matter action defines the characteristic CSL length as 7.0e-8 m, which is the radius at which hydrogen dipole-induced dipole attraction, which goes as 1/R^-6, equals hydrogen-hydrogen gravity attraction, which goes as 1/R^-2. Thus matter action completely agrees with CSL while QMG L for hydrogen CSL seems to be a billion times too small.

Finally, Science has a truly significant unification with Singh's QMG. It is very pleasing to finally see this happen, but Science will now fight the QMG revolution fiercely as well it should...eventually, Science will accept something simpler than QMG to finally show unification at last...

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