Basic Questions concerning Quantum and Gravitation Theories

[SEKI]

Quantum gravitation theories such as the superstring theory and the like are so weird and difficult to understand.  I think these theories are misdirected in the same manner as the Tychonic system.  In fact, if you intend to construct a science of astronomy based on the earth-centered model, the theory can be neither simple nor easily comprehensible.  From my personal perspective, gravitation is not to be quantized.

(1)

According to the quantum field theory, the substance of an elementary particle is considered to be a kind of local wave traveling in the space where we live.  On another front, the general theory of relativity showed that gravitation is equivalent to distortion of space, and predicted the existence of black holes, from which even light cannot escape.

Inside a black hole, where nature of the space is fundamentally different, the same kinds of elementary particles as those in the space outside a black hole are not considered to exist.  Therefore, the gravitation theory can be considered to be more universalistic than the established quantum field theory, which cannot be applied inside a black hole.

Then, does it really make sense to construct a quantum gravitation theory which is to build a gravitational extension on the base of the quantum field theory?

(2)

Though the QED and QCD with renormalization technique are very sophisticated theories, these theories, which are constructed on the basis of plane waves, never resolve fatal quantum paradoxes such as reduction of wave packet.

A free and isolated elementary particle is considered to substantialize as a wave packet (having finite length and width) and to have specific energy and momentum (if not, conservation laws cannot but be invalid).

Without distortion of space or gravitation, specific energy and momentum mean a complex sinusoidal plane wave (CSP wave; ~exp{i(kx-wt)} ), which has infinite length and width, hence wave packet cannot be formed.

The QED and QCD are generally known as renormalizable theories.  However, I seriously wonder if renormalizability on the basis of CSP waves (namely, without taking the distortion of space into account) really make sense, because a CSP wave is so weird as to, once created, oscillate with the same amplitude at all points including those infinitely far from the origin of the wave.

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More than 30 years ago, I majored in physics.  After a long interval, I recently studied it again, and got to have above questions.  If you give me a convincing answer, I really appreciate it.

 Thank you.

 SEKI Hajime