Outcome of a de Broglie wavelength for a Planck mass
v. 2 n. 17
The Planck length is
L,p = (?G/c^3)^1/2
below which physics is undefined. But why? Aside from the rationale from the uncertainty principle, * it was surmised that at the Planck scale the constant h (or h/2π = ?) was the quantum version of light speed c, where this speed was seen as a way of quantifying the "stiffness of spacetime." **? That is, it was suggested that space can be curved or compressed but only to a finite extent -- to a maximum possible mass/energy density -- because space is equivalent to the pure energy-supporting gravitational field according to general relativity, and that this limiting extent is quantified by a semblance of the Planck length.
Also, the Planck mass is
m,p = (?c/G)^1/2.
Now consider a hypothetical de Broglie wavelength for a Planck mass
λ,p = h/(m,p v)
and let L,p = λ,p;
then solving for velocity, v = 2πc,
so that
λ,p = h/(m,p 2πc) = ?/(m,p c),
a photon?
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* https://www.fnal.gov/pub/today/archive/archive_2013/today13-11-01_NutshellReadMore.html
Senior Research Scientist, Institute of Physics
2 年Dear Dr. Warren Frisina, I would recommend you to get acquainted with my studies: 1) book "Structure of Space and the Submicroscopic Deterministic Concept of Physics" - here in the link from my web site to its draft https://inerton.kiev.ua/BOOK_SS&SDCP(2017).pdf 2) Chapter from a book under my editorship: "Derivation of Gravity from First Submicroscopic Principles" https://inerton.kiev.ua/Chapter.ID_71255_6x9-V.K.pdf
Physics: Writing the book on Special Relativity and Quantum Mechanics - SRQM - SciRealm.org
2 年4-Momentum ?? = (E/c,??) = (mc,??) 4-WaveVector ?? = (ω/c, ??=ωn?/v_phase=2πn?/λ =ω??/c2) ?? = (E/c,??) = ??? = ?(ω/c,??) Temporal part: E = ?ω = mc2 Spatial part: ?? = ??? ?ω = mc2 So, (?) and (c) are not exactly the same, they are related by mass (m) and angular frequency (ω) ?? * v_phase = c2