Combining special relativity, general relativity and quantum mechanics.pdf

This presentation combines the surprising non-local features in physics
quantum entanglement in space (“spooky action at a distance” – Albert Einstein, EPR paradox ).
The delayed choice quantum eraser, the delayed particle/wave choice in the double slit experiment.
Special relativity – for a photon, all spacetime is concentrated to a singular infinitely small point.
General relativity – for a gravitational wave, all spacetime is concentrated to a singular infinitely small point.
Schrodinger's wave equation predicts that a particle can be located throughout spacetime until it is measured, and general relativity predicts non-local worm holes through spacetime.

1. Combining special relativity, general relativity and quantum mechanics
Non-locality in special relativity
A photon of light travels at the speed of light c for all reference frames.
Based on special relativity from the photons point of view, length contraction will concentrate
all of space, in all frames of reference, into a singular infinitely small point, and time will stand
still due to time dilation .
This is the non-locality feature of special relativity from the photons frame of reference.
c= the speed of light
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??????ℎ = distance between the photon and particle A in the photons frame of reference
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?????? = distance between the photon and particle A in the particle A frame of reference
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??????ℎ =??????
??????1−
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2
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2
= 0
Eran Sinbar, 024649014, Israel
CEO at Yoran Imaging Ltd., Israel
[email protected]

2. Non-locality in general relativity
A gravitational wave travels at the speed of light c.
Based on special relativity from the gravitational wave point of view, length contraction will
concentrate all of space into a singular infinitely small point and time will stand still due to time
dilation .
This is the non-locality feature of general relativity.
c = the speed of light
??????
????????????= distance between the gravitational wave and particle A in the gravitational wave frame of reference
??????
?????? = distance between the gravitational wave and particle A in the particle A frame of reference
??????
???????????? =??????
??????1−
??????
2
??????
2
= 0

3. Non-locality in quantum mechanics , quantum entanglement
The quantum entanglement is a non-local characteristic of quantum mechanics ,where a
measurement on a particle in a specific location in spacetime will instantly influence its
entangled particle which can be in a separate spacetime location. This happens instantaneously,
faster than the speed of light , or as Albert Einstein phrased :” spooky action at a distance” .

4. Non-locality in quantum mechanics , the delayed choice quantum eraser
The unique behavior of the double slit experiment ( particle or wave behavior based on the
measurement ) brings us to discuss non-locality in time. Measuring and/or erasing the which path
information can be done long after the particle (or photon) passed the double slits or even
reached the screen and still the particle or wave configuration of the particle through the double
slit will be influenced by the which path measuring and/or erasing information. Action in the
future that can influence the past is a non-locality in time.

5. Summary
This presentation combines the surprising non-local features in physics
•quantum entanglement in space (“spooky action at a distance” – Albert Einstein, EPR paradox ).
•The delayed choice quantum eraser, the delayed particle/wave choice in the double slit
experiment.
•Special relativity – for a photon, all spacetime is concentrated to a singular infinitely small point.
•General relativity – for a gravitational wave, all spacetime is concentrated to a singular infinitely
small point.
•Schrodinger's wave equation predicts that a particle can be located throughout spacetime until
it is measured, and general relativity predicts non-local worm holes through spacetime.

6. Conclusion
For our local spacetime to explain these non-local characteristics of quantum mechanics, special
relativity and general relativity, we need to add an extra non-local dimension.
To add an extra non-local dimension, lets quantize the known four-dimensional spacetime local
dimensions to Planck length and Planck time sized local spacetime units. Between these space
time units lets add an extra non-local, four-dimensional in space and time, grid like dimensions
(the grid dimension). The grid dimension (figure 1) enables all the non-local characteristics
described in this presentation.
This new structure of spacetime enables also to stagger quantized frames of reference floating
symmetrically in the four-dimensional nonlocal spacetime grid dimension.

7. Figure 1 - The two-dimensional red circles illustrate four-dimensional quantized frame of reference A in a small region in
spacetime at a specific moment in time. The size of each quantized spacetime unit is Planck length and Planck time.
The two-dimensional blue circles illustrate a small region at a specific moment in time of reference frame B. These are
two out of infinite number of reference frames, all staggered next to each other. The white space between the frames of
reference, illustrates the four-dimensional space-time ,non-local grid dimension. All the non-local characteristics in
space and time described in this paper originate from the extra non-local grid dimension.