. 1

KWW

is only

for a few materials, and for 90% of materials

0

KWW

< 1. [14-17] show that if we consider the energy

dependence of the energy support ability in space, then

1

KWW

. Second, [18-20] show that if we consider the

energy dependence of the energy support ability in space,

then cold fusion can occur, and the result of experimental

observations for the cold fusion is true.

Reference [3] and Section 3 of this paper point out that

the Rutherford scattering formula, which was based on

classical mechanics, and the Mott-Gorden scattering

formula, which was based on quantum mechanics and

neglecting the energy variation of the energy support

ability in space, are the same. This fact tells us that the

energy variation of the energy support ability in space

includes quantum effect, and, therefore, it can not been

neglected. If we neglect it, then classical and quantum

mechanics give the same result.

A simple direct experimental verification on the ne-

cessity of introducing the concept of energy support abil-

ity in space is to obtain the experimental data corre-

sponding to Figure 2.

6. Conclusions

From our exact derivations and numerical calculations in

Sections 2, 3 and 4 we obtain the following conclusions.

1) It is absolutely necessary to consider the energy de-

pendences of the transition matrix element and the den-

sity of states in transition and scattering processes.

However, all the now available theories on the transition

and scattering processes do not consider these energy

dependences, and, therefore, should be revised. 2) The

general energy conservation law should be negatived in

some cases. 3) It is possible to obtain infinite energy

from space without any loss. 4) The Fermi golden rule

should be negatived in some cases because that the ap-

proximation of neglecting the energy dependence of the

energy support ability in space is reasonable only in a

few cases. 5) The transition process does not have any

connection with energy uncertainty principle. 6) The

concept on the energy support ability in space will be-

come an important new concept. 7) Section 3 points out

that the duration time of scattering between electron and

nucleus can be measured by experiment. 8) The current

standard model of cosmology, or Big Bang model, has

been receiving wider and wider attention since the dis-

covery of cosmic background radiation at 2.73 K. The

observable facts upon which the standard model is based

are, in fact, very few [10]. This paper shows that the en-

ergy support ability in space is only determined by the

structure of space, and, therefore, it can always supply

energy without any loss i.e., the energy is infinite in

cosmology. Because energy can become mass, the mass

in the cosmology is also infinite. The cosmology being

of infinite energy and mass can not collapse, should have

infinite lifetime, and the Big Bang model can not be cor-

rect. 9) The present theory to estimate the energy in

cosmology is as follows. If all the energy in cosmology

is 1, then the energy of galaxy is 4/100, the energy of

dark mass is 23/100, and the energy of dark energy is

73/100. It is obvious that this estimation is based on the

energy finiteness of cosmology. This paper concludes

that the above estimation for the energy distribution in

cosmology is wrong because the energy in cosmology is

infinite. 10) G. Amelino-Camelia [21] pointed out that

combing general relativity with quantum mechanics is

the last hundle to be overcome in the “quantum revolu-

tion”. One of the most exciting approaches to the unifi-

cation of general relativity and quantum mechanics is the

idea of a space-time that is itself quantized, for example,

replacing the space-time continuum with a collection of

isolated points. This paper shows that the energy support

ability in space depends on the structure of space.

Therefore, the energy support ability in space can be

used to judge any proposed model of space structure. 11)

B. R. Martin [13] pointed out that the observable quanti-

ties in nuclear and particle physics are cross-sections and

decay rates. However, we should note that the formulas

to calculate the two quantities are used Fermi golden rule.

This paper shows that Fermi golden rule should be nega-

tived, especially, in the calculations of cross-sections.

Therefore, many conclusions coming from the two quan-

tities might be wrong.

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