宇宙学和粒子物理学之间的人为矛盾:λ问题
Artificial contradiction between cosmology and particle physics: the lambda problem
摘要:
它表明,通常选择的单位,通过采取G = c =普朗克常量= 1,给出普朗克单位的质量,长度和时间,引入了一个人为的矛盾宇宙学和粒子物理学:λ问题,我们与普朗克常量。我们注意到,选择普朗克常量= 1并不符合量子物理学的尺度。对于这个标度,我们证明了普朗克常数\hbar的正确值是1/10 ^122,而选择普朗克常量= 1对应于宇宙学标度。这是由于普朗克尺度转换为宇宙学尺度的标度因子10^61。通过选择比值G/c^3 =常数= 1,包括选择G = c = 1和动量守恒mc =常数,我们保留了从作用量原理推导爱因斯坦场方程的过程。那么乘积Gm/c^2 = rg,即m的引力半径,是常数。对于量子黑洞,我们证明了普朗克常量\hbar ; rg^2 \hbar ;(mc)^2。我们还证明了产品λ x普朗克常量是一个一般常数的顺序一,对任何规模。宇宙学尺度意味着λ \hbar ;普朗克常量\hbar ; 1,而普朗克尺度给出λ \hbar ; 1/普朗克常量\hbar ; 10 ^-122。这就解释了lambda问题。我们得到两个尺度:宇宙学量子黑洞(QBH),尺寸为Λ; 10 ^-28 cm,量子黑洞(qbh)包括基本粒子尺度,尺寸为Λ; 10^-13 cm,以及普朗克尺度,尺寸为Λ; 10^-33 cm。
英文摘要:
It is shown that the usual choice of units obtained by taking G = c = Planck constant = 1, giving the Planck units of mass, length and time, introduces an artificial contradiction between cosmology and particle physics: the lambda problem that we associate with Planck constant. We note that the choice of Planck constant = 1 does not correspond to the scale of quantum physics. For this scale we prove that the correct value is Planck constant \hbar; 1/10^122, while the choice of Planck constant = 1 corresponds to the cosmological scale. This is due to the scale factor of 10^61 that converts the Planck scale to the cosmological scale. By choosing the ratio G/c^3 = constant = 1, which includes the choice G = c = 1, and the momentum conservation mc = constant, we preserve the derivation of the Einstein field equations from the action principle. Then the product Gm/c^2 = rg, the gravitational radius of m, is constant. For a quantum black hole we prove that Planck constant \hbar; rg^2 \hbar; (mc)^2. We also prove that the product lambda x Planck constant is a general constant of order one, for any scale. The cosmological scale implies lambda \hbar; Planck constant \hbar; 1, while the Planck scale gives lambda \hbar; 1/Planck constant \hbar; 10^122. This explains the lambda problem. We get two scales: the cosmological quantum black hole (QBH), size Λ; 10^28 cm, and the quantum black hole (qbh) that includes the fundamental particles scale, size Λ; 10^-13 cm, as well as the Planck scale, size Λ; 10^-33 cm.
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