phys

THE PHYSICS DEEP

The search for a link between electricity and gravity is actively pursued by the scientific community. My notes can be found in the following documents. A summary is outlined in a table below. A brief presentation is also available.

Presentation:

Connecting Fundamental Constants - pdf, 4 pages, 105KB

Connecting Fundamental Constants - pdf, 10 slides, 451KB

Detailed documents:

Magnetic Anomaly in Black Hole Electrons - pdf, 8 pages, 321KB

A model for a black hole electron can be developed starting from three basic constants: h, c and G. The result is a comprehensive description of the electron with its own associated mass and charge. The precise determination of the rotational speed of such a particle yields accurate numbers, within one standard deviation, of all quantities, including one of the most critical characteristics of the electron: its magnetic moment and its magnetic moment anomaly.

Planck Permittivity and Electron Force - pdf, 7 pages, 301KB

The Planck permittivity is derived from the Planck time and becomes an important parameter for the definition of a black hole model applied to Planck quantities. The emerging particle has all the characteristics of a black hole electron and a precise evaluation of its gravitational and electric force is now possible.

Reality of the Planck Mass - pdf, 9 pages, 263KB

The Planck mass is not the elusive particle so often depicted, but it is the constituent part of each electron and neutrino. If the Planck mass is considered as a charged black hole, we find that the electron mass and charge are a natural corollary. The faster the rotation of the Planck mass the lower its measurable mass appears to be: at the speed of light we are left with a massless and chargeless particle that is identified with the neutrino and an extension in our world of such mass decrease is investigated. Finally, the interaction of the Planck charge with virtual particles present in the vacuum seems to yield the right charge for the d-quark and a negative fine structure constant seems to imply a speed faster than light.

Electric Field from a Gravitational Field Variation - pdf, 12 pages, 449KB

Mass, in a quantum world, can be a fleeting event and the border between energy and mass is non-existent. However the Planck time, which we would see also as a dimensionless number, seems to place a limit on the measurable energy or mass. In addition, the rotation of this mass together with its electric and magnetic condition appears to influence what is actually measured and we have, with data from the quantum properties of the electron, an electric field generated by the variation of a gravitational field. Even the measurement of the constant of gravitation could be influenced by moving masses, the faster the motion the higher the measured value.

A study of black hole features applied to a Planck particle yields new mathematical relationships among basic constants. The concept of time loses its meaning when going from our world to the black hole and an apparent dimensional mismatch may appear between quantities. The Planck time is numerically very close to the gravity to the electric force ratio in an electron: its difference, disregarding a 2^½π factor, is only 0.2%. This is not a coincidence: they both refer to the same particle and the small difference is between a rotating and a non-rotating particle.

Rotating particle: initial electron
Initial data
c = 299792458 h = 6.62606944283x10^-34 G = 6.672918952267x10^-11
Non-rotating particle
Planck time t_p	(π h G / c⁵)^1/2	2.3950197x10^-43
Planck mass M	h / t_p c²	3.0782613x10^-8
apparent Planck mass M₀	M t_p^1/2	1.5064684x10^-29
Planck permittivity ε_p	(t_p / 4 π²)^1/4	8.825459772x10^-12
Planck charge Q	M (4 π ε_p G)^1/2	2.648116x10^-18
Toroidal ratio of unitary force / unitary time W_u	(2 π)⁴ Q_u² / t_u	1558.54545654
Initial fine str. const. α₀	(t_p W_u / Q²)^1/2	7.295873175x10^-3
Initial electron charge e₀	Q / (2 / α₀ - 1)^1/2	1.60233838x10^-19
Relations among fundamental constants
Vacuum fine structure constants - two identical equations	Solve: α³ - 2 α² + (2π)⁵(π G/c³ h)^1/2/10⁷ = 0 α³ - 2 α² + t_p W_u / 2 ε₀ h c = 0	7.2973525719x10^-3 1.999973470767 -7.270823339x10^-3
G, with current known values	α² (2 - α)² (e / 4 π²)⁴ c⁵ / π h	6.6729191x10^-11
Electron data
Charge e	Q / (α / α₀) (2 / α- 1)^1/2 4π²(t_p/ α(2 - α))^1/2	1.602176549x10^-19
Electron fine structure constants α	Solve: α² - 2 α + t_p W_u / e² = 0	7.2973525719x10^-3 1.99270264743
Permittivity ε₀	ε_p / (α / α₀)² (1 - α / 2)	8.8541878176x10^-12
Mass m_e	M₀ (α/2)^1/2 (α/α₀)¹² (1-α/2)^3/8((2-α)/(2-α₀))^1/4	9.10938272x10^-31
Magnetic moment μ_e	(eh/4πM₀)(2/α₀)^1/2(α₀/α)^9/4((2-α)/(2-α₀))⁷/(1-α/2)^1/8	9.28476422x10^-24
Electric force e²/4 π ε₀	(α / 2) Q² / 4 π ε_p	2.307077307x10^-2
Gravitational force F_g	π ε₀³ e² (α/α₀)³²(1-α/2)^19/4((2-α)/(2-α₀))^1/2	5.53724511x10^-71
Gravitational/electric force ratio F_g / F_e	t_p (α / α₀)²⁴ (1 - α / 2)^3/4((2-α)/(2-α₀))^1/2	2.40011251x10^-43
Magnetic moment/Bohr magneton ratio μ_e / μ_B	(e₀ / e)¹⁴ (α /α₀)³ (e₀ / e)^1/²(1 - α / 2)^1/4	1.00115965218076
Electric field from a gravitational field variation
Materialization time t_e	h / m_e c²	8.0932998x10^-21
Grav. field variation Δg	G m_e / t_e	7.51067848x10^-21
Electric field e/ 4 π ε₀	Δg(M/Q)/(α/2)^1/²(α/α₀)²³(1-α/2)^1/4((2-α)/(2-α₀))^1/2	1.439964471x10^-9

The resulting numbers are within one standard deviation if compared with the latest 2010 CODATA listing. All results are obtained from three basic constants only: c, h, G.

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