Infinities and singularities are equivalent when mass is absent and entropy (that is, randomness) is maximum, because in both states the ability of the universe to scale itself is lost.
It is called conformal equivalence. It means that the shape of everything in two systems is the same; the scale is indeterminate or irrelevant. Size can’t be measured.
Warning to the faint of heart: this essay will reveal ideas that might change the way some readers think about the universe. Keep an open mind.
What is the fate of the cosmos? Almost everyone agrees that it will expand exponentially, possibly forever. As it does, all matter will be sucked into black holes like water into bathtub drains where — perhaps over trillions of years — it will evaporate by a mechanism believed to produce Hawking radiation; mass converts into massless photons and radiates outward until every black hole evaporates and disappears.
Sir Roger Penrose, the brilliant mathematical physicist, has said that new satellite data might support his theory of Eons, which asserts among other things that the universe expands while black holes collect and evaporate away all matter; entropy (or randomness) increases to maximum.
At the termination of the Eon the universe cannot tell whether it is at its beginning or its end because it doesn’t know what size it is; all its metrics become equivalent to those found in the singularity that many speculate preceded the emergence of the Universe humans find themselves in today.
In the unimaginable heat of a singularity, the concept of mass also disappears; it becomes irrelevant. Energy dwarfs mass to overwhelm it; runaway entropy (randomness) goes to maximum.
With no mass the concept of scale disappears. Without mass all the gravitational degrees of freedom vanish. The universe doesn’t know what size it is or if it is any size at all.
Entropy (or randomness) of “the singularity” initiates the Big Bang in the same way as a maximally expanded and evaporated universe; the two states — infinity and singularity — are equivalent. They are not distinguishable; one is like the other and emerges from the other.
Both the singularity and the infinitely expanded universe are unable to determine how big they are because both lose the ability to scale themselves when matter is no longer present; both states have maximum entropy; the distribution of energy becomes infinitely random.
The result is that the expansion of a maximally expanded universe starts anew as if it were a singularity. A new “eon” begins at the end of each expansion; the universe expands in stages with the beginning of each stage indistinguishable from a singularity.
The universe seems to chug along like a smoking choo-choo train — almost like a perpetual motion machine that generates a brand new universe on the fading gasp of its last puff.
A contraction of mass into a singularity is a popular idea, but it never happens — not in this theory — except in black holes where all matter evaporates over time into the pure energy of Hawking radiation. In Penrose’s theory, only an infinite series of expansions following one upon the other from singularities indistinguishable by their metrics from maximally-expanded-universes will emerge.
It’s like a woman who gives birth to a daughter. The process repeats forever in the history of humans. Daughter buds from mother. Mother doesn’t contract to the size of a baby who then grows to become a new mother.
No, the process is continuous — one mother gives birth to a baby who grows to become a mother who births a new baby and on and on into an infinity of mothers that progress in a line of succession to the end of a time that has no end.
The universe expands until it becomes a singularity that expands into a new universe. The process never ends. There is no beginning and no end.
Does this idea by Roger Penrose resonate with the ring of truth to anyone? Roger has said that his idea is having some trouble catching on with bona-fide cosmologists.
For me, Roger Penrose’s idea feels like truth. His truth sets me free; everything falls into place; a weight is lifted from my shoulders when I think about what it means and why things might be the way they are.
Roger says that he is retired; the mathematics of his theory are worked out by his acolytes; they make predictions that are testable. One thing they predict are “Hawking points” or spots.
Hawking points are places where massive black holes have evaporated away every bit of the matter of the galaxies that fell into them. This radiation is concentrated; it will emerge to imprint the cosmic background of the universe that follows. The points or regions will spread to cover a circle in the sky that is four degrees across — close to eight times that of the Moon. Hawking points, if verified, will emit an energy that is ten to fifteen times more intense than the cosmic background radiation.
Hawking “spots” should be findable by humans. The radiation they represent bled into our universe from the universe that preceded and spawned them. Identifying Hawking spots will lend credence to the idea that a universe preceded ours and that another will follow in the far distant future — perhaps trillions of years from now.
Perhaps thirty candidates have been identified by recent satellite observations. The WMAP (Wilkinson Microwave Anisotropy Probe) satellite — illustrated above — and the newer Planck satellite have identified in the microwave background radiation (CMB) areas in space where the predictions of the Eon theory seem likely to be confirmed.
Roger claims that — absent mass — big and cold is equivalent to small and hot. The laws of thermodynamics hold in both worlds and are conformally equivalent. The mathematics are the same.
Roger Penrose has won 17 major awards in science; he has made major contributions in at least 30 areas of science and mathematics. The implications of his theory of conformal cyclic cosmology (CCC), if accepted by mainstream science, are worthy of a Nobel Prize.
I hope he lives long enough to receive it.
The video above, at 23:23, explains a consequence of the theory that dark matter (called erebons by Penrose) is required to make it work. Erebons are hugely massive compared to other atomic particles; they possess the mass equivalent of the eyeball of a flea. Sir Roger predicts that they decay and leave behind signals that will be confirmed by a focused analysis of data collected by the Laser Interferometer Gravitational-Wave Observatory LIGO.
Another interesting and rather strange consequence of the theory addresses the Fermi Paradox. From Wikipedia is the following reference:
”In 2015 Gurzadyan and Penrose discussed the Fermi paradox, the apparent contradiction between the lack of evidence but high probability estimates for the existence of extraterrestrial civilizations. Within conformal cyclic cosmology, the cosmic microwave background provides the possibility of information transfer from one Eon to another, including of intelligent signals within the information panspermia concept.”
Billy Lee