AAF / Quantum Quack,
There are several fatal flaws in your argument:
Thanks for the help.
[1] It's logically inconsistent to state that "the universe is defined as the totality of all that exists", and to state thereafter that "the universe creates its own purpose"! Because if the universe contains all that exists, it must also contains all purposes.
It is a clear mistake in logic to assign to such totality one single purpose. In short, if the universe is a totality, then it is a totality in all respects, not just few.
The general contains the specific, the abstract contains the concrete. An all inclusive "purpose" i.e. "to exist" must contain all of its distinctions, if something is distinct from another "something", it is a different type of existence, that is to say, it is stratified from a more general, or a more specific type of existence. Therefore logic demands that a composition of total existence have separate distinctions within itself, yet it is also an embodiment of itself. Existence is a paradox, albeit a self resolving one.
[2] "The universe is an intelligent mind"! This statement is both wrong and useless. It's wrong because it's simply a projection of man's inner image of the workings of the human nervous system on this totality of things called 'the universe'. It's also useless, because nothing can be gained in the theoretical or the practical sense by treating the universe as 'intelligent mind'.
If the universe is closed, the "information" or entangled quantum states cannot leak out of the closed system. So the density of entangled quantum states, continually increases, as the entropy must always increase. While to us, it is interpreted as entropy or lost information, it is actually recombined information, to the universe.
Spacetime Memory = Compression Waves = Interpretation of Increased Entropy.
If our universe is a self projecting computer simulation within a simulation within... within a simulation, which is a process, it would need to be an accelerated process.
locally, as the distance between two objects approaches zero, and velocity is low, space-time is a Euclidean geometry.
As the distance between two objects increases, space-time is a "non-Euclidean" geometry.
This non-Euclidean geometry uses a Euclidean tangent vector space to approximate its curvature properties. "tangent vectors".
Is it possible to derive Einstein's field equation strictly in terms of quantum mechanical operators? using n-dimensional cross sections of cotangent vector spaces? Near a massive object M, the *isobar* cross sections increase in density, as wavefunction density gradients, a possible solution? to Hartle and Hawking's "wavefunction of the universe"?
There is the Schrodinger equation:
H(psi) = E(psi),
where H is the Hamiltonian operator, the sum of potential and kinetic energies, and "psi" is the wavefunction. E is the energy of the system. The square of the wavefunction, is the probability of the position and momentum for the system.
The Wheeler DeWitt equation is the Schrodinger equation applied to the whole universe. Since the total energy of the universe is postulated to be zero(even though the Hamiltonian for the universe isn't quite defined) the Wheeler DeWitt equation is:
H(psi) = 0
There is a complementary path integral approach for this equation. Stephen Hawking derived the wavefunction of the universe as a path integral, for a complex function of the classical configuration space:
psi(q) = integral exp(-S(g)/hbar) dg
The problem is that "dg" is not well defined either
exp is the base of the natural logarithm "e" raised to a power. The power in this case, is the quantity -S(g)/hbar, where S(g)
is the Einstein Hilbert action.
The Einstein Hilbert Action:
The Lagrangian, which is the difference of kinetic and potential
energies, has a formulation in general relativity:
Lagrangian = R vol
R is the Ricci scalar curvature of the metric g, derived by contracting the Ricci tensor and "vol" is the volume form associated to g. The Einstein Hilbert action then becomes:
S(g) = integral R vol
Spacelike hypersurfaces are endomorphically projected Compression waves. A self embedding of surface integrals. This gives continuously increasing density gradients, as matter-energy is quantum mechanically re-scaled. What appears as universal expansion with radius R, is actually matter-energy contraction with radius 1/R. Total spacetime is constant.
According to string theory, from the principle called "T-Duality", the physics for a circle of radius R is the same as the physics for a circle of radius 1/R. So if total spacetime is a constant, and matter-energy would be shrinking at a uniform accelerated rate, it would appear to the shrinking beings in the universe, that their universe's spacetime was expanding and matter energy is the constant.
Hawking's entropy equation:
Entropy = [Area of event horizon]*[Boltzmann's constant]*[speed of light^3]/4*[Planck's constant/2pi]*[Newton's universal gravitational constant]
S = [A*k*c^3]/[4*hbar*G]
Quantum gravity and thermodynamics are related.
The R - 1/R duality of string theory, gives two ways of looking at the world. Which way is correct? R with spacetime expansion? Or 1/R with matter-energy requantization?
Both could be correct, depending on the perspective of the observer.
[3] All that talk about 'cause and effect' is non-sequitur, and demolished completely by the illustrious David Hume long time ago. It just doesn't hold water.
You could have a good point here AAF. The "cause & effect" argument is an oversimplification, of course
[4] The 'Heisenberg Uncertainty Principle' has been used to deny causality not to support it. Its use in the above context is completely beside the point if not counter-productive.
Heisenberg uncertainty agrees with free will for the universal mind.
JP, I noticed in one of your posts ( can't remember which one) that you refer to two photons travelling in opposite directions and simultaneously having some relationship with each other therefore suggesting that this relationship is travelling at speeds faster than the speed "c".
On one level of stratification, the two photons are separate. On another level, of stratification, the photons have zero separation.
Instantaneous communication between two objects, separated by a distance interval, is equivalent to zero separation[zero boundary] between the two objects.
According to the book "Gravitation", chapter 15, geometry of spacetime gives instructions to matter telling matter to follow the straightest path, which is a geodesic. Matter in turn, tells spacetime geometry how to curve in such a way, as to guarantee the conservation of momentum and energy. The Einstein tensor[geometric feature-description] is also conserved in this relationship between matter and the spacetime geometry. Eli Cartan's "boundary of a boundary equals zero."
Einstein's equation basically says
Einstein Tensor [G] = Stress-Energy Tensor [T]
[spacetime geometry] determines [matter-energy's path] = geodesic.
[Matter-energy] determines [spacetime geometry] = non-Euclidean geometry.
.
Conservation of momentum energy is explained as an automatic consequence of the zero boundary of a boundary. Where conservation of energy-momentum means no creation or destruction of energy momentum in a 4D region of spacetime [4D cube] The integral of "creation events" i.e. the integral of
d*T for energy momentum, over the 4D region is required to be zero, and gives the conservation of momentum energy. The mathematical machinery for identically meeting the conservation laws is the boundary of a boundary equals zero.
[spacetime tells mass]<===[geodesic path for particle]===>[mass tells spacetime]
An object following a geodesic has no unbalanced forces acting on it. Its energy-momentum is a constant. In order for the object to deviate from the geodesic, it must be accelerated. Energy must be expended, for example, its rocket boosters could fire, or an outside force like a meteor impact .
Is mass "m", a form of condensed space-time?
The mass-energy equivalence is given by the equation
E = m*c^2
Really, the equation is:
E^2 = p^2 c^2 + m^2 c^4
For a photon, the rest mass is zero, the equation reduces to:
E^2 = p^2 c^2
Since p is the momentum of a photon of light, the equation becomes:
E/p = c
Light is also a wave with a frequency (f) of oscillation and its energy is also given by the equation:
E = h*f = p*c
wavelength, Lambda = c/f
E/f = h = p*Lamda
Waves are ripples in a basic medium. Einstein explains that the ether is unecessary as a medium, so the ripples are vibrations of spacetime itself, if, mass-energy is a form of condensed space-time.
As the ripples intersect with each other, it becomes a domino effect with the ripples continually increasing in density. Very similar to taking a penny and doubling it as an iterative sequence.
2, 4, 8, 16, 32, 64, 128, 256, ... 2^n
Since the ripples are increasing in density they are "compressed" . As spacetime becomes compressed, matter is re-configured as a balancing effect, so the force of gravity and accelerations are perceived as they presently are.
[<->[<->[<->
<->]<->]<->]
The increasing spacetime density must be background independent.
Actually, spacetime does not really need to be "sliced up" in that it can proceed in discrete steps, yet, still be continuous.
[density 1]--->[density 2]--->[density 3]---> ... --->[density n]
h represents Planck's constant
G is Newton's universal gravitational constant.
c is the speed of light in vacuum.
S = distance scale
T = time scale.
p is momentum
Planck length = sqrt[hG/c^3] = constant ratio
Planck time = sqrt[hG/c^5] = constant ratio
[Planck length]/[Planck time] = c = [S/T]_n = [S/T]_n+k
Discrete quanta = hf
Continuous wavelength = h/p
Since we are continuing to discover how symmetry is violated in the universe, it should be possible to devise an experiment to determine how the spacetime expansion vs. matter contraction symmetry, is violated. Then it should be possible to prove, or disprove Eddington's idea.
A quote from the book "The Expanding Universe" by Sir Arthur Eddington:
quote:
All change is relative. The universe is expanding relatively to our common standards; our common standards are shrinking relatively to the size of the universe. The theory of the "expanding universe" might also be called the theory of the "shrinking atom" .
Quantum mechanics leads us to the realization that all matter-energy can be explained in terms of "waves". In a confined region(i.e. a closed universe or a black hole) the waves exists as STANDING WAVES In a closed system, the entropy never decreases.
The analogy with black holes is an interesting one but if there is nothing outside the universe, then it cannot be radiating energy outside itself as black holes are explained to be. So the amount of information i.e. "quantum states" in the universe is increasing. We see it as entropy, but to an information processor with huge computational capabilities, it is compressible information.
Quantum field theory calculations where imaginary time is periodic, with period 1/T are equivalent to statistical mechanics calculations where the temperature is T. The periodic waveforms that are opposed yet "in phase" would be at standing wave resonance, giving the action.
Periodicity is a symmetry. Rotate into the complex plane and we have real numbers on the horizonal axis and imaginary numbers on the vertical axis. So a periodic function could exist with periodicity along both the imaginary AND the real axis. Such functions would have amazing symmetries. Functions that remain unchanged, when the complex variable "z" is changed.
f(z)---->f(az+b/cz+d)
Where the elements a,b,c,d, are arranged as a matrix, forming an
algebraic group. An infinite number of possible variations that
commute with each other as the function f, is invariant under group transformations. These functions are known as "automorphic forms".
Topologically speaking, the wormhole transformations must be
invariant with regards to time travel. In other words, by traveling
backwards in time, we "complete" the future, and no paradoxes are created.
So when spacetime tears and a wormhole is created, it must obey certain transformative rules, which probably appear to be
discontinuities from a "3-D" perspective, but really, these
transformations are continuous!
So the number of holes[genus] on the surface of space, determine whether there exist an infinite, or finite, number of solutions to the universal equations?
Multiverse, or one Universe?
Strong Anthropic Principle or Weak Anthropic Principle?
The information density of space increases. This is a relation and its inverse.
For example, unity is a constant, representable by:
[1 = c ] = [1/2 + 1/2] = [1/4 + 3/4] = [1/5 + 4/5] = [1/6 + 5/6]
The left fraction represents [energy/momentum] and the right fraction represents compressed [space/time] density, where space means "distance interval" , a relative measurement.
[E/p]<--->[S/T]
[1/R]<--->[R]
The physics for a circle of radius R, is the same for a circle of radius 1/R
E/p = S/T = c
[Space/time] and [energy/momentum] are two different forms of the same invariant quantity [c].
[E/p]_n = [E/p]_n+1 = [S/T]_n = [S/T]_n+1
Yes, c+c = c
[c + c]/[1 + c^2/c^2] = c
So E/p + S/t = 2c/2 = c
S/T = E/p = S/T + E/p = c
We live in a nonlinear universe. Einstein's equations don't lie
c+c = c
aleph_0 + aleph_0 = aleph_0
0 + 0 = 0
Gravity exists because the information density of space-time is increasing. This creates a "pressure force" where processed space, compresses mass-energy, and mass-energy reacts by compressing space. The process is "time", which becomes dilated due to the increased information density of massive objects.
mass energy = information
space = self similar relation
time = process = change
So space compresses matter-energy and matter-energy gives an equal and opposite reaction.
Space-time tells matter how to move and matter tells space-time how to curve.
[mass tells spacetime ]<===[geodesic]===>[ space-time tells mass]
I don't feel there is a need to prove the existance of God as the universes existance is self eveident.
Space and time have a beginning.
The best explanation for that beginning is self causation best
explained CM Langan's Cognitive Theoretic Model of the Universe:
http://www.iscid.org/papers/Langan_CTMU_092902.pdf
