Evolution and emergence

These are two truths for coming million years. Evolution is how high-anti-entropy life increases complexity locally while shedding entropy elsewhere. Emergence is some statistical properties of ensembles that assign definite invariant properties where there are none in the components.

Classic example is Pressure, volume and Temperatures. No concept of P, V, T applies to particles at molecular level. Nevertheless, these are meaningful invariant concepts at gas, liquid and solid levels. We say that P,V,T are properties that are emergent. Time is not involved, as it is in evolution.

Energy and Entropy are not emergent concepts. All else are. Energy can be energetic as in photon, or as matter. 100 years after birth, quantum mechanics makes some sense and the reason for difficulty in quantum gravity has started to make sense.

QFT or Quantum Field Theory

New image of matter and forces is that they are quantum fields in space. A quantum particle is a wave in the field. There are three corresponding to three forces – electro-magnetic, weak field and strong field. The fourth is least known and most interesting, the Higg’s field that allows chemistry and imparts the very concept of mass – matter is simply photon-waves that excite the Higg’s field.

Now the most interesting speculation by me – gravity is simple emergent entanglement over Higg’s field! One can view entanglement as fifth dimension timeless connection between two space-time points. Now one can see why gravity is Universal from “Higg’s field”. Gravity falls as square (surface area of the enclosing sphere).

Together with non-merge of Black holes with any matter, this completes exciting speculations in astro-physics and cosmology!

One can think of emergence as evolution over numbers! Or evolution as emergence over time!

Encryption ideas

Evolution of my encryption ideas is yet to be seen. Emergence is the orthogonal to thinking of executives and politicians! It is the tool of small timers like me, to whom the dictum applies, “persons looking for applications for their invention”. Nevertheless, it is achievable with low capital and laces many small emergences into one big can be big! One can view my work 1995-2005 as shift into simple asymmetric and classic symmetric encryptions.

Emerged from that new identity based encryption IBE based on huge discrete square roots in next ten years. I sat through encryption class from Stanford professor and gave up as train-accident grandfather. But numerical evolution has probably blessed me most. Next seven years were chasing quantum computers and QC-safe IBE.

The basic concept is encryption composition of two systems S1 and S2. To use the composed system, one starts  with a message M, applies encryption of S1 and then of S2, sending the result. To decrypt, s2 first then S1.

Why would one do this?

The composed system may have desirable qualities of S1 and S2 in provable manner.

Why is your encryption one always?

It is based on squaring. X^2 can be done as x*x! So one can implement it in very simple manner, regardless of integer size. One can compete with much smaller elliptical encryption! The circuit size for the sender can be very small.

Best way is to trust huge digest functions from NIST. Regardless of length, one can digest a string. Repeated squaring of the digest, using only logsize bits, produces truly random sequence to which the message is xored for encryption and decryption. The digest is sent by my IBE!

My IBE simply square the digest, symmetrically encrypt it with my published encryption function and key and send it by RSA. In effect composition RSA o oaep+-cryption o my-IBE is used. To escape quantum computers QC-method o My-IBE is enough. One decrypts the top word of the message. If it does not decrypt to 11..11, the message if not for you! Quantum-IBE is not needed.

If one considers just RSA o My-IBE, just RSA is insufficient as IBE form does not work, while my-IBE admits adaptive attacks, the joint form avoids both. QC-method o My-IBE avoid QC_IBE but protects my_IBE from QC!

Standard way old RSA was used is RSA o symmetric. Given strengths of symmetric, many extensions can be used to make 2000 bit long RSA key!

So IBE emerges from my straight encryption. Doing it distributed ledger fashion emerges a privacy-preserving bit-coin. Quantum-computer-proof-my-IBE yields unbreakable bit-coin. Deducting a percent transaction-tax per IBE transaction yield a tax-fair system!

Quite an emergence! A million-year truth!