Negentropy Maximization Principle viz. second law of quantum quantum complexity

The physicists Leonard Susskind and Adam Brown have proposed the second law of quantum complexity, a rule similar to the second law of thermodynamics that describes the evolution of complexity in quantum systems (see this). Interesting to see that the basic principles of TGD have reached such a status that the process of independent rediscovery has started. I introduced the Negentropy Maximization Principle (see this) roughly two decades ago as the basic principle of TGD inspired theory of consciousness and actually of TGD. It turned out that NMP implies a second law.

This looks paradoxical but the explanation is that the negentropy in NMP describes the amount of conscious information of a system about itself whereas entropy describes the lack of information about the external world.

For a long time it was unclear whether it is analogous to variational principle dictating the dynamics or whether it is analogous to second law. It turned out that the latter option was correct (see this).

The increase of algebraic complexity leads to NMP as a mathematical analog of the second law. Algebraic complexity corresponds to the complexity of algebraic extension of rationals defined by a polynomial and polynomials basically determined regions of space-time surfaces (see this and this). Physics as number theory as complementary vision to physics a geometry is needed and has many implication including dark matter as hierarchy of phases of ordinary matter with effective Planck constant h_eff=nh_0, the possibility of quantum coherence in arbitrarily long length scales, quantum gravitational coherence in arbitrarily long scales, p-adic numbers as description of the correlates of cognition, etc...

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