Why Is Chemical Bonding Still a Mystery?

Chemistry is formed by chemical bonding of atoms into molecules, but the physical nature of a chemical bond appears to be unknown even today 100 years after Quantum Mechanics was formed as the physics of atoms and molecules:

• There is no unique way of defining a chemical bond from quantum mechanics. (Roald Hoffmann)
• The concept of the chemical bond is not a real one; it is a figment of our own imagination. A bond does not exist as an observable entity.( Charles Coulson)
• Quantum mechanics does not provide a definition of a chemical bond. (Richard Bader)
• The exact solution of the Schrödinger equation would not solve the chemical problem. (Per-Olov Löwdin)
• Orbitals, bonds, and structures are models imposed on quantum results, not entities delivered by QM itself. (John C. Slater)
• The chemical bond is not a quantum-mechanical observable. (George C. Pimentel)
• Exact quantum dynamics would still not yield chemical concepts such as mechanisms, bonds, or reaction pathways. (William H. Miller)

The lack of a single convincing theoretical explanation of the physics of chemical bonding, questions the credibility of Chemistry as a science, which is met by (instead of one correct theory) a battery of different explanations including Lewis, VB, MO, CFT, LFT, Band Theory, Quantum Chemistry (HF/DFT), supposed to capture different aspects while partly being contradictory.

But in this rather desperate situation of confusion there may be hope the form of  

• Alternative Computational Foundation of Chemistry 

offering an analysis of covalent chemical bond based on a new form of Schrödinger's equation in physical space with clear physical meaning. If you have ever wondered why one neutral Hydrogen atom $H$ can attract another neutral H to form a $H_2$ molecule as a stable relation, this is for you.

Is is natural to trace the unclear physics of covalent chemical bonding back to the lack of clear physics of Schrödinger's equation in its textbook form. Chemical bonding must rely on clear physics to work, and so cannot be explained by unclear physics. 

Chemistry is real physics and cannot rely on a Schrödinger equation without meaning as real physics. RealQM offers a new Schrödinger equation as real physics, and thus a new foundation of chemistry.