Quantized Spacetime

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6 Hyperspace Guidance

Now comes the problem. Even with tight packing, the average quantum may have only five or six tangential contacts with other quanta, giving a particle only five or six directions for exiting. Matrix randomness means none of these contacts may take the particle in the correct direction. But a particle undisturbed by external forces must move at a constant speed in a single direction. How can it keep on course while passing through trillions of quanta sending it constantly in the wrong direction?

Track randomness from contacts

A particle moving in a straight line must continually deviate because of random misalignment of contacts between spacetime quanta.

Fortunately, each deviation occurring is extremely small. But to make each deviation needed to leave a quantum, the particle must borrow an increment of energy-momentum from somewhere. In fact, it must make billions of borrowings. And to satisfy energy conservation, the total energy borrowed must be zero. Or at least no larger than the action of the Planck constant (6.626×10−34 Joule-seconds) provided this is quickly paid back, as was the case for a mass particle passing through a transfer quantum.

There is no reserve of energy in spacetime to satisfy the simultaneous needs of the almost infinite number of particles moving throughout the universe. But one exists behind the hyperspace curtain. And in the picture presented here we should pay attention to the operator behind the curtain. Hyperspace potential energy-momentum can interact with the fluctuating kinetic energy-momentum of a particle and get it out of a quantum through the optimum contact. In fact, that energy-momentum can steer a particle through a string of quanta, if the total action required is less than Planck constant. And even though this may take the particle through billions of contacts, it will only travel a small distance. For larger distances, the process will have to be continually repeated, just as string of quanta that sets an average speed has to be repeaed. In fact, the two functions might be combined. It process involved probably works as follows.

Initially, the particle moves in a specific direction by its own momentum. Then, a disturbance in kinetic energy is detected in hyperspace because a particle cannot get out of a quantum without a change of direction.The potential energy of hyperspace acts to nullify the disturbance. A  momentum increment crosses the hyperspace-spacetime interface to redirect the particle, removing the disturbance. The particle leaves the quantum by the contact nearest the correct track. As the process repeats in subsequent quanta, the net momentum transferred grows.

Track Correction at Work

Please forgive the draughtsman, who can draw only straight lines. The blue zig-zags are actually sinusoidal waves that steer the particle along the red line.

As the total transferred nears the Planck constant, the momentum flow slows and becomes stationary for an instant. Then it reverses itself. Hyperspace now subtracts momentum increments to steer a particle out of quanta, taking the increments back into hyperspace. The effect is to reverse the direction of wander of the particle. At the point that cancels out the net energy transferred, the flow reaches a maximum and begins to slow. As the net energy approaches the Planck constant again, the flow slows to a stationary point, then reverses to carry energy into spacetime to power momentum increments in the original direction. The particle zig-zags backwards and forwards across the true path in a pattern smoothed into a sinusoidal wave. The cycle repeats continuously until the particle reaches the end of its path.

As the cycle repeats, the particle is moving much further in the general direction of its initial momentum than the distance it travels off track. The cumulative deviations are so small and the distance between along the track are so large that at the macro level, the particle is moving in a straight line, under the guidance of a hyperspace wave. No net additional momentum is added to the particle in spacetime.

 The actual distance along track between deviation maxima will decrease in proportion to the momentum of the particle, because with greater momentum it will reach the Planck constant in fewer deviations. That is, the wavelength of the wave guiding particles will be proportional to the Planck constant divided by the particle momentum, as discovered by Louis de Broglie. At the same time, the wave maintains particle speed, by nulling out disturbances to the pattern of the quantum string defining the particle average speed..

Because a particle’s position may be off-track by up to plus or minus one Planck constant, its off-track position at any specific time or distance is uncertain  to that degree. This is the origin of the Heisenberg uncertainty principle.

The evidence for the existence of a guiding wave is provided by the Twin Slit Experiment.

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