Reason, or the ratio of all we have already known, is not the same that it shall be when we know more.The essential aspect of supersymmetry (SuSy), its bosonic-fermionic symmetry, also poses the gravest problem for the theory: since~ William Blake!

**bose-fermi symmetry is not observed in ‘nature’**, it must be

**broken**if SuSy is to make

**contact with reality**. A promising possibility is spontaneous SuSy-breaking that occurs at

**tree-approximation**level induced by scalar multiplet interaction: this leads to zero-mass Goldstone fermions; that however cannot be identified with the neutrino: a solution naturally presents itself, namely, involving the Ward identities of the theory, which connect the

**Green’s functions**of the supercurrent to other matrix elements: but the validity of the Ward identities require that no anomalies of the supercurrent exist. The reason this is so important is that a

**xial currents create**via creation-annihilation Hilbert Space operators, in the context of SuSy,

**the graviton**with all the properties needed for unification to occur between General Relativity and Quantum Field Theory. Such gravitonic axial-current creation is a consequence of the

**convolution of the SuSy group generators and the generators of the Poincaré group**: it is in this sense, along many others, that SuperString Theory is essentially a quantum theory of gravity. However, one must show that

**axial anomaly cancellation**can be achieved, for two reasons: 1) axionic (super)-current gravitonic creation is one of the central reasons why SuperString/M-Theory is

**finite**(it needs no renormalization) and thus is a quantum theory of gravity, and 2) is the only theory that ‘

**bypasses**‘ (avoids the loopholes of) the severely limitative Coleman–Mandula theorem! the question now arises, in the crucial Yang-Mills context: is axionic anomally cancellation possible and is it

**paradoxes-free**? I will show that one can solve both problems. But first: why are General Relativity (GR) and Quantum field Theory (QFT) so fundamentally incompatible? Here are just a few reasons:

GR is in an essential sense a theory of the gravitational field represented by the pseudo-Riemannian metric of an ‘**inseparable’ spacetime**. Since QFT quantizes all fields in spacetime, the gravitational field also must be quantized. Let us look at the field equation of GR:

The side of the GR field equation that describes matter sources are under the descriptive domain of QFT, while the other side describes gravitation as a classical field: since a quantization of gravity implies that** spacetime is not ‘smooth’** and since **integration** is a smoothing process, the GR-action principle would have **no solution**; and, since the action contains the content of a physical theory, that means that GR does not even ‘describe’ spacetime. So, if the right hand side of the GR-field equation represent quantized matter, GR can be shown **inconsistent** since consistency presupposes the existence of solutions.

Moreover, the gravitational field is represented by the spacetime metric, and a quantization of the gravitational field is a quantization of that metric: the problem now is that the quantum dynamical description of the gravitational field of GR implies a **dynamical quantum-spacetime**, but QFT presupposes a **fixed non-dynamical background spacetime** for the description of all fields. Thus, a quantum theory of the GR-gravitational field **cannot** be independent as a QFT because the ‘active’ **diffeomorphism invariances** of GR are ontologically **incompatible** with **any fixed background spacetime**!

Also and more serious, in the Hilbert space setting,** energy** and **time** are ‘entangled’ in the **Heisenberg Uncertainty Principle**: let

stand in for that relation. If QFT treats time as it must, as a **global **…

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