How TGD avoids the catastrophe caused by observer-free Universe?

Gary Ehlenberger sent a link to a very intersting Quanta Magazine article titled "Cosmic Paradox Reveals the Awful Consequence of an Observer-Free Universe". The two first paragraphs of the article give a good view of the problem.

Tinkering at their desks with the mathematics of quantum space and time, physicists have discovered a puzzling conundrum. The arcane rules of quantum theory and gravity let them imagine many different kinds of universes in precise detail, enabling powerful thought experiments that in recent years have addressed long-standing mysteries swirling around black holes.

But when a group of researchers examined a universe intriguingly like our own in 2019, they found a paradox: The theoretical universe seemed to admit only a single possible state. It appeared so simple that its contents could be described without conveying even a single bit of data, not even a choice of a zero or a one. This result clashed with the fact that this type of universe should be capable of hosting black holes, stars, planets — and people. Yet all those rich details were nowhere to be seen.

To me this result is not terribly surprising. The paradox of heat death is a well-known intuitive way to state the problem. The outcome is the final catastrophe putting an end to the materialistic view. The catastrophe is also due to the sticking to too simple mathematics based on real numbers which have no internal anatomy, in accordance with materialism in which only magnitude matters. Universe is much much more complex. AdS/CFT brings in strings and extended particles but is not a realistic solution.

1. One part of the problem is the completely wrong view of space-time as a single smooth manifold such as AdS. In TGD, space-time is a union of an arbitrarily large number of 4-D Bohr orbits of 3-surfaces in H=M⁴×CP₂ obeying holography, which is almost deterministic: this is absolutely crucial for having fermion interactions for formally free fermions.

   Intersections of space-time surfaces as 2-D string world sheets give rise to the geometric aspect of interactions. H=M⁴×CP₂ explains symmetries and fields of the standard model and is mathematically the only possible choice: number theory-geometry duality at the level of physics and the existence of the twistor lift dictates this choice. The dynamics reduces to that of space-time surfaces. By general coordinate invariance, there are only four local degrees of freedom.

2. There is a fractal hierarchy of size scales defining the size scales of the space-time sheets. Holography = holomorphy principle is a crucial part of the solution and generalizes the holomorphy of string models and transforms extremely linear classical field equations to algebraic equations. One obtains minimal surfaces irrespective of classical action as long as it is general coordinate invariant and expressible in terms of the induced geometry (see this and (this). One also obtains direct counterparts of functional iteration hierarchies associated with 4-D analogs 2-D fractals like Mandelbrot fractal and Julia set.
3. Besides topology and algebraic geometry, also number theory brings in structure. Entire hierarchies of extensions of rationals emerge and Galois groups appear as symmetry groups. Galois confinement is an attractive dynamical principle forcing for instance the total momenta be rational valued. functional fields appear too.

   Classical number fields, reals, complex numbers, quaternions, octonions emerge as an essential part of dynamics via M⁸-H duality (see this). p-Adic number fields appear also and the corresponding functional fields appear too.

   Space-time surfaces represent numbers in both the classical sense and as elements of function fields see (this, this, this).

4. TGD also brings in consciousness and one gets rid of the curse of materialism (this). The Universe as space of space-time surfaces becomes Quantum Platonia consisting of classical and quantum states as mathematical objects and quantum jumps between these quantum states make quantum Platonia conscious entity (or a union of conscious entities), which learns and remembers and its complexity and level of consciousness unavoidably increases since the number space-time surfaces more complex than a given surface is infinitely larger than the number of those which are simpler.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.