HoloQuantum HyperNetwork Theory

TL;DR

HoloQuantum HyperNetwork Theory is a comprehensive, axiomatic quantum framework that models all possible hypergraph-based quantum states and interactions, aiming to be a fundamental 'it-from-qubit' theory of quantum nature.

Contribution

It introduces a complete, axiomatic formulation of hypergraph-based quantum states and interactions, unifying all possible quantum hypergraph evolutions in a single theory.

Findings

Formulates all unitarily-evolving hypergraph quantum states.

Defines a complete set of many-body interactions for hypernetworks.

Proposes a fundamental 'it-from-qubit' quantum theory.

Abstract

The fundamental, general, kinematically-and-dynamically complete quantum many body theory of the entirely-quantized HyperNetworks, namely HoloQuantum HyperNetwork Theory, `M', is axiomatically defined and formulated out of a unique system of nine principles. HoloQuantum HyperNetworks are all the quantum states of a purely-information-theoretic (0+1) dimensional closed quantum many body system of the abstract qubits of the `absences-or-presences' endowed with a complete distinctive set of abstract many-body interactions among them. All the many-body interactions and the complete total Hamiltonian of M are uniquely obtained upon realizing the kinematical-and-dynamical quantum-hypergraphical well-definedness by all the `cascade operators', the quantum-hypergraphical isomorphisms, the global-phase U(1) redundancies of the multi-qubit states, the minimally-broken equal treatment of the abstract qubits, the maximal randomness, and `covariant completeness'. Mathematically, HoloQuantum HyperNetworks formulate in completeness all possible unitarily-evolving quantum superpositions of all the arbitrarily-chosen hypergraphs. Physically, HoloQuantum HyperNetworks formulate all the dynamical purely-information-theoretic states of every realizable quantum many body system of the arbitrarily-chosen quantum objects and their arbitrarily-chosen quantum relations. Being so, HoloQuantuam HyperNetwork Theory, M, is proposed as the fundamental, complete and covariant `it-from-qubit' theory of `All Quantum Natures'.