Lorentz multiplier for Quantum states
by Francis X Roarty
Fractional quantum states remain controversial and might be better labeled as Lorentz contraction multipliers. The calculation of fractional state quantum numbers is misleading because the Bohr radius is never violated and the values only represent the trigonometric portions of the Bohr radius visible from a different time frame. The actual measurement between different physical frames and therefore the fractional state hydrino is only a mathematical constuct allowing a calculated measureme of perspective not a real physical measurement. The twin paradox is the typical example where different world lines experience different orientations to space and time. The twin approaching C on the spatial –X- axis also approaches 0 to the time –Y- axis. The atoms of either twin are locally unchanged yet both appear contracted relative to each other due to displacement on the time axis, or Lorentz contraction. The difference in acceleration rates between twins is also an acceleration rate and therefore the divergence accumulates into time dilation. The Twin paradox requires astronomical distances and high acceleration but Italian researchers have proposed that Casimir cavities can also produce acceleration through equivalence in a method opposite to an event horizon; instead of concentrating gravitational force the Casimir cavity creates a depletion zone. Instead of accelerating on the spatial axis and reducing the time coordinate (slowing time relative to us), the cavity reduces acceleration on the spatial axis by bending space –time in the opposite direction toward the time axis (accelerating time relative to us).
In 2005 a paper by Jan Naudts “On the hydrino state of relativistic hydrogen atom” contends that the fractional quantum state argument overlooks relativistic solutions. Naudts use of the Klein Gordon equations is consistent with recent theories proposing the ZPF as a BEC. In 2007 Ronald Bourgoin published a paper, “INVERSE QUANTUM STATES OF HYDROGEN”, that showed the general wave equation allows exactly for 137 inverse principal quantum levels. I am proposing these fractional solutions represent only trigonometric portions of the Bohr radius which remains constant but reoriented due to change in the temporal coordinate. This would confirm a relativistic solution as suggested by Naudts and imply the fractional values are actually due to Lorentz contraction.
The theory that Casimir cavities represent an abrupt equivalence boundary was introduced by Italian researchers Di Fiore et all in a 2002 paper, “Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field”. They discuss the possibility of verifying the equivalence principle for the zero-point energy of quantum electrodynamics, by evaluating the force, produced by vacuum fluctuations, acting on a rigid Casimir cavity in a weak gravitational field. Their calculations resolve a tiny force with opposite direction to the gravitational acceleration. Their proposal suggests a tiny but constant equivalent acceleration between the inside and outside of the cavity. This force would be graduated as the cavity geometry narrows.
Black Light Power has made claims of the existence of a hydrogen atom where the single electron resides in a fractional quantum state they call hydrino. The transition to such a state is induced by the presence of a catalyst and atomic hydrogen. Their skeletal catalyst Rayney nickel is by definition a Casimir cavity as defined by the geometry of its pore size. These lower fractional states are in agreement with a relativistic solution made possible through equivalence inside a Casimir cavity as suggested by Di Fiore et all and papers from Naudts and Bourgoin calculating the orbital from a relativistic perspective.
Bohr radius/C = propagation time = 17.7 E-18 seconds.
Bohr radius Sphere = 4/3 pi r^3 = 6.20E-31 meters ^3
VOLUME x TIME = CONSTANT PRODUCT
When volume is min 1/137 the time is a max 17.7 E-18
6.20E-31/137 meters^3 * 17.7 E-18 s = 8.01E-52 m^3s
When volume is max the time is a min 17.7 E-18/137
6.20E-31 meters^3 * 17.7 E-18/137 s = 8.01E-52 m^3s
I set N =1 at 45 degree for flat space where orbital is assumed to share space time dimensions equally.
As Velocity increases toward C on spatial axis, time axis is suppressed (event horizon).
As velocity increases toward C on time axis, the spatial axis is suppressed (Casimir cavity).
1. Jan Naudts (August 2005) “ On the hydrino state of relativistic hydrogen atom” http://arxiv.org/abs/physics/0507193v2
2. Bourgoin, Ronald C (2007). “INVERSE QUANTUM STATES OF HYDROGEN”. The International Society for Condensed Matter Nuclear Science_ http://www.iscmns.org/asti06/Bourgoin%20RECIPROCAL%20QUANTUM%20STATES.pdf
3. Di Fiore, et all (14 May 2002 ). Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field. from http://arxiv.org/abs/quant-ph/0109091