characteristic n, the dimension of the irreducible Jordan block. Since the “responsible crossover states” refer to rotational degrees of freedom, we realize that the first
term, with the largest weight k L , refers to transitions between K = −J and K = J,
while the second term displays all the other ones from K = −J via K = −J + 1,
−J + 2,…J − 1, J.
The eigenvalue of C
ð2Þ
T is zero, which corresponds to K = 0. Since the direction
of the (scattering) flux into the black hole is arbitrary, the orthogonal projection to
the (arbitrary) symmetry axis must also be zero. Hence our generalized quantum
state is characterized by the quantum numbers 2J + 1 = n; M J = 0; K = 0, i.e. with an
gigantic rotational energy (large n) but with the rotational z-component in any
arbitrary direction equal to zero! Hence from the view of an external observer one
would experience its effects all around us, since M J = 0, i.e. one would infer to have
the cosmological horizon limited by the event horizon or in other words the cosmological or particle horizon equal to the event horizon. This interpretation is
consistent with properties of the conjugate pair, viz. angular momentum and orientation. For instance, if the direction of the angular momentum of the universe is
arbitrary, then its orientation is fixed.
Ideas of similar nature have been voiced recently, see e.g. Ref. [45]. The situation
occurs in two families of solutions to the Einstein equations. One is the collapse of
spherical shells of matter forming a black hole, the other models large structures as
our Universe evolves. The first one is inside the black hole behind an event horizon,
in the other case we actually live inside the cosmological horizon (outside the event
horizon). It is interesting that the present quantum model of a black hole displays a
similar representation, thereby providing a reasonable evolution scenario from the
Beginning to the End of our Universe, or if one prefers “beginnings to ends”.
Precising the present resonance scattering model: we have modelled our universal scenario as an inbound flux of matter and radiation attracted to the “black
hole”, exciting the “black-hole” from a lower to a higher state during the process,
getting rid of matter and radiation, leaving the “target” in a free-energy-like configuration, the CDE-like state, characterized by its mass M and angular momentum
quantum numbers J, M J and K. The lower state has low entropy, S ≈ 0 (a black hole
ground state has of course zero entropy), while the “excited state” (or rather the
CDE structure) + ejected matter and energy has high entropy. The CDE state, or the
free energy configuration, is essentially a zero energy state. With the ejection of
matter and radiation, the black hole de-excites to a lower state below the energy
threshold, balancing the energy so that one essentially has a zero-energy (and also
low entropy) scenario. Actually the entropy relates to the separation of matterantimatter brought about during the black hole’s excitation and expulsion phase
suggesting time-reversed settings for the matter-antimatter asymmetry.
It is possible that the entropy, which appears to grow in the evolving phase of the
universe, is also balanced out by the inbound phase so that the entropy of the
universe (including the black hole) is effectively constant, while the entropy
obviously grows in a universe, considered as an open system (not including the
black hole). Nevertheless our model supports and explains the conundrum, i.e. the
A Zero Energy Universe Scenario: From Unstable Chemical …
281
term, with the largest weight k L , refers to transitions between K = −J and K = J,
while the second term displays all the other ones from K = −J via K = −J + 1,
−J + 2,…J − 1, J.
The eigenvalue of C
ð2Þ
T is zero, which corresponds to K = 0. Since the direction
of the (scattering) flux into the black hole is arbitrary, the orthogonal projection to
the (arbitrary) symmetry axis must also be zero. Hence our generalized quantum
state is characterized by the quantum numbers 2J + 1 = n; M J = 0; K = 0, i.e. with an
gigantic rotational energy (large n) but with the rotational z-component in any
arbitrary direction equal to zero! Hence from the view of an external observer one
would experience its effects all around us, since M J = 0, i.e. one would infer to have
the cosmological horizon limited by the event horizon or in other words the cosmological or particle horizon equal to the event horizon. This interpretation is
consistent with properties of the conjugate pair, viz. angular momentum and orientation. For instance, if the direction of the angular momentum of the universe is
arbitrary, then its orientation is fixed.
Ideas of similar nature have been voiced recently, see e.g. Ref. [45]. The situation
occurs in two families of solutions to the Einstein equations. One is the collapse of
spherical shells of matter forming a black hole, the other models large structures as
our Universe evolves. The first one is inside the black hole behind an event horizon,
in the other case we actually live inside the cosmological horizon (outside the event
horizon). It is interesting that the present quantum model of a black hole displays a
similar representation, thereby providing a reasonable evolution scenario from the
Beginning to the End of our Universe, or if one prefers “beginnings to ends”.
Precising the present resonance scattering model: we have modelled our universal scenario as an inbound flux of matter and radiation attracted to the “black
hole”, exciting the “black-hole” from a lower to a higher state during the process,
getting rid of matter and radiation, leaving the “target” in a free-energy-like configuration, the CDE-like state, characterized by its mass M and angular momentum
quantum numbers J, M J and K. The lower state has low entropy, S ≈ 0 (a black hole
ground state has of course zero entropy), while the “excited state” (or rather the
CDE structure) + ejected matter and energy has high entropy. The CDE state, or the
free energy configuration, is essentially a zero energy state. With the ejection of
matter and radiation, the black hole de-excites to a lower state below the energy
threshold, balancing the energy so that one essentially has a zero-energy (and also
low entropy) scenario. Actually the entropy relates to the separation of matterantimatter brought about during the black hole’s excitation and expulsion phase
suggesting time-reversed settings for the matter-antimatter asymmetry.
It is possible that the entropy, which appears to grow in the evolving phase of the
universe, is also balanced out by the inbound phase so that the entropy of the
universe (including the black hole) is effectively constant, while the entropy
obviously grows in a universe, considered as an open system (not including the
black hole). Nevertheless our model supports and explains the conundrum, i.e. the
A Zero Energy Universe Scenario: From Unstable Chemical …
281