Quantum Computing Cosmology - Computing the Universe / IAS Nobel Lecture: Prof George Smoot

Title: Quantum Computing Cosmology Computing the Universe
Date: April 22, 2024
Speaker: Prof. George F. SMOOT
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George Fitzgerald Smoot III is an American astrophysicist, cosmologist.
He won the Nobel Prize in Physics in 2006 for his work on the Cosmic Background Explorer with John C. Mather that led to the "discovery of the black body form and anisotropy of the cosmic microwave background radiation".
Smoot donated his share of the Nobel Prize money to a charitable foundation. He had cameo roles in the popular TV series, The Big Bang Theory (2007).
georgefsmoot.com

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55:02 On the “dark” invariance:
0.in RT the main invariant is the 4-interval (a mathematical description of the constant c), however, it could offer another invariant value based on another physical constant.
1.Comparing with Einstein's equations of 1915, we find a=-c^3/16πG. Strictly speaking, in order to determine the constant a, it was necessary to make a transition to the Poisson equation. Thus, a rigorous derivation of Einstein's equations can be given.
The transition to the non-relativistic limit allows us to determine a constant factor for the integral of the gravitational field according to: R[(0)^0]=(4πG/c^2)p; Δφ=-pc^3/4a=4πGр.
And a=(1/16π)m(pl)w(pl)=(1/16π)I(pl).
2.Therefore, the Poisson equation can be written as: ∆g(00)=8πGT(00)/c^4, where g(00) is the time component of the metric tensor (for a weakly curved metric the time component of the energy-momentum tensor: T(00)~=pc^2).
This equation is true only in the non-relativistic case, but it is applicable to the case of a homogeneous and isotropic Universe, when Einstein's equations have only solutions with a time-varying space-time metric. Then the energy density of the gravitational field: g^2/8πG=T(00)=pc^2 {=(ħ/8πc^3)w(relic)^4 !};
where the critical density value determining the nature of the model is: p=(3/8π)H^2/G. Hence it follows: g~πcH.
Expansion is a special kind of motion, and it seems that the Universe is a non-inertial frame of reference that performs variably accelerated motion along a phase trajectory, and thereby creates a phase space.
And according to the strong equivalence principle: g=|a*|=πcH [=r(pl)w(relic)^2]. And
{w(relic)^2=πw(pl)H !}.
3.From Kepler's third law follows: M/t=v^3/G, where M/t=I(G)=[gram•sec^-1] is the gravitational current. By the way, in SR: I(G)=inv; this follows from the Lorentz transformations: m=m(0)/√(1-v^2/c^2) and t=t(0)/√(1-v^2/c^2). Hence, obviously, we have I(G)=m/t=m(0)/t(0)=inv.
However, а*=-2πcа/M(universe), what is F=M(universe)а*=-2πса=-с^4/8G=-(⅛)F(pl).
4.In the case of the Universe: I(G)=M(universe)H=m(pl)w(pl)/8π=c^3/8πG=-2a (~ the "dark" constant~inv), where M(universe)=E/c^2 is the full mass of the Universe, and the total energy E is spent on creating a phase-quantized space-time:
m(pl)w(pl)=8πM(Universe)H.
5.That is: Δφ=-pc^3/4a=
рс^3/2M(universe)H^2.
And
Δφ=4π[с^3/Gm(pl)w(pl)]H^2=
4πH^2; which is evidence of a phenomenon: spontaneous Lorentz transformations.
Thus;
Δφ(0)/Δφ=w(pl)^2/H^2~6,4*10^121, where Δφ(0)=4πw(pl)^2; the best prediction.
Addition
On the self repel:
0.“Giving the interval ds the size of time, we will denote it by dт: in this case, the constant k will have the dimension length divided by mass and in CGS units will be equal to 1,87*10^-27", Friedmann, (On the curvature of space, 1922).
1.[The ds, which is assumed to have the dimension of time, we denote by dт; then the constant k has the dimension Length Mass and in CGS-units is equal to 1, 87.10^ ± 27. See Laue, Die Relativitatstheorie, Bd. II, S. 185. Braunschweig 1921.]
2.Apparently, the following expression takes place: μ(0)ε(0)Gi=1, which means that Gi=с^2 where i is inertial constant, i=1,346*10^28[g/cm]; or k°=1/i=7,429*10^-29[cm/g]:
k(Friedmann)/k°=8π; where k°=r(pl)/m(pl).
3.For clarity, let's draw an analogy.
In electrodynamics, a circular conductor detects the properties of two conductors with currents flowing in opposite directions, since for each section of a conductor with a current on the opposite side there is a reverse current flow.
Thus, the conductor is self-repelled by the magnetic force: F(m)=μ(0)I(e)^2, where I(e) is the electric current.
4.Then the force of inertia is: F(i)=(1/i)[I(G)^2], where I(G)=mw. That is, the expansion of the mechanical system is due to the inertial force of self-repelled (it is clear that this is not an anti-gravitational force).
5.In the case of the Universe; the gravitational current flowing along the phase trajectory: I(universe)=M(universe)H, respectively, the inertial force of self-expansion: F(i)=(1/i)I(universe)^2~F(pl).
6.It is clear that this approach is also valid for bodies moving in the same direction: then the inertial force of attraction will "appear", and this is not a gravitational, and even more so, not a "dark matter" effect.
{For example, when stars rotate around the center of galaxies.}
P.S. The motion of the particle in orbit is equivalent to a closed current, and the current creates an inertial moment, defined by the formula: M(i)= I(G)S, where I(G) is the current strength, S is the area streamlined by the current. Then Planck's constant can be interpreted as a quantum of inertia moment: ħ=I(pl)S(pl).
Appendix
0.If, for example, the displacement current is defined as a physical quantity equal to the ratio of the amount of charge Δq that has passed through a certain cross-section during a certain time Δt to the value of this time interval: I(e)=∆q/∆t, then we are talking about the interaction of charges and a site streamlined by current, however, the formula It does not reflect this fact: the presence of a cross-section is ignored here.
1.This was due to the fact that the reference frame and coordinate system can only be associated with material objects, since the implementation of a reference system for an "immaterial cross-section" is allegedly impossible.
2.But now that it is already known that 4-space itself has dynamic properties, it is time to reconsider this point of view from the point of view of the relational principle?
3.Although, it is better to introduce a strong principle of general covariance: the observer is always involved in an unavoidable measurement process.
It seems that there have never been any problems with QM already within the framework of GR (for example, in the case of the Schrodinger Cat).
4.A live cat breathes and, accordingly, emits gravitational waves according to the formula GR with intensity: I(G)=(2G/45c^5)(M^2)(l^4)(w^6), where M is the mass of the cat, l is its characteristic size, w is its frequency breathing.The frequency of gravitational radiation should be on the order of w~ 2π/т where т is the characteristic time of accelerated mass movement (pulsation, rotation, collision, non-spherical explosion).It is clear that the dead cat is not breathing and I(G) =0. {By the way, a "smile" without a cat can be detected according to Einstein's equations. Raising one of the indices, substituting I=k and summing, we find: R=-(8πG/c^4)T, where T=T(n) is the trace of the energy-momentum tensor (~ "gravitational memory.").}
5.In principle, all this lends itself to a certain (improbability) constant measurement without opening the "black box", since gravity is not shielded [w=w(m)]. Moreover, the behavior of the radiation source is also controlled, since it emits only in an excited state.
6.{Why didn't Einstein use this argument? He wasn't sure about the reality of gravitational waves and assumed only the presence of hidden parameters…}
7.Then, the formula of the moment of inertia can be rewritten: M=mI(S), where I(S)=Sw is the current of 4-space, more precisely, the flow of the front of a gravitational or light wave ( in fact, this is a relativistic expression of Kepler's second law).
8.Since the interaction of a gravitational or light wave with a material particle leads to the transfer of energy-momentum to the particle, the phenomenon is described by the symmetric formula: E=I(G)I(S).
9.Obviously, in the quantum description of the phenomenon (M=ħ) the formula looks like this: ε(pl)=I[G(pl)]I[S(pl)]
{=m(pl)w(pl)*S(pl)w(pl), where I[S(pl)] is the quantum expression of Kepler's second law}.
10.Moreover, I[S(pl)]=ħ/m(pl): is a quantum of the inertial flow Ф(i) = (½)S(pl)w(pl) = h/4πm(pl). {Magnetic flux is quantized: = h/2e, Josephson’s const; and the mechanical and magnetic moments are proportional.}
11.This approach* leads to the quantization of gravity: in QG, it is a constant in the basic formula of the quantum expression of the Newtonian gravitational potential:
ф(G)=-(1/2)[ħ/m(pl)]w=-Ф(i)w.
It is clear that we are talking about gravity/inertial induction.
Can be tested experimentally in the laboratory at the moment.
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*) - The disciple will notice that electrodynamics has achieved great success, compared with mechanics, thanks to the introduction of the concept of current, and will write down Kepler's law as follows: I(G)= mw=v^3/G, where I(G) is the gravitational current: I(G)=[g•sec^-1]. By the way, Maxwell's realization of the displacement current effect is the culmination of all (mechanics+electrodynamics) classical physics.

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The asymmetry of time actually implies the accumulation of time, more precisely, history, variety, aging, and the world itself already has many-sided (~ "multi-world") and improvisational (~"probabilistic") properties:
0. "Indeed, it is clear that we cannot report the translational motion of the entire universe and check whether this motion affects the course of any processes. The principle of relativity therefore has heuristic and physical meanings only if it is valid for any closed system. However, the question arises, when can a system be considered closed? Is the remoteness of all the masses outside the considered system sufficient for this? The answer, according to experience, says that in the case of uniform and rectilinear motion, this is enough, but for other movements it is not enough.
Summarizing, we can say that the postulate of relativity includes the statement that the uniform and rectilinear motion of the "center of gravity" of the Universe relative to some closed system does not affect the processes in this system." (Pauli, RT).
1. Obviously, the opposite is true for an expanding universe.
Apparently, the researcher can detect and measure the effect of the aging process in his own frame of reference caused by the phenomenon of global time t(universe)=1/H:
ds^ 2=c^2dт^2=g(00)c^ 2dt^2=(1-Ht*)c^2dt^2, where the parameter Ht* it shows how much of the global time has "passed" in its own frame of reference, t* is the measurement time according to the clock of the resting observer, t is the duration of any physical process in its own frame of reference relative to the clock.
2.The observer can measure the increase in the duration of the processes in the laboratory frame of reference: dт=[√ g(00)]dt=[√(1-Ht*)]dt~(1-Ht*)dt