The document explores theories regarding quantum entanglement and the limitations of space and time as defined by Einstein's theory of relativity. It introduces a grid dimension concept that illustrates how space can be quantized into units the size of Planck's length, which affects the speed of light and the perception of different observers in staggered parallel worlds. The findings suggest that these non-local dimensions are critical to understanding the 'spooky action at a distance' phenomenon in quantum physics.

1. Extra dimensions visualized

2. • How can we explain the “spooky action at a distance “ of the quantum entanglement?
• Why are we limited to the Planck length?
• Why are we limited to the speed of light?
• How can it be that two observers (Alice and Bob) at different velocities in the same point in space-time ,
grasp space and time in a different manner as defined in Einstein’s special relativity theory?
Key questions that lead us to the grid dimension theory

3. Extra dimensions visualized
The Black grid in this image illustrates the extra non local dimension responsible for the non local
Quantum entanglement (“spooky action at a distance “).They can connect instantaneously between any two points in space.
The white 2D rectangles illustrate the quantized local units of our known 3D space .
In each rectangle we can add a 3D local Calabi Yau manifold to enable the extra needed local dimensions for string theory

4. Extra dimensions visualized
The grid dimensions divide space into 3D local units in the size of Planck length
in each dimension. This explains the measurement limitation to Planck’s length
And the Heisenberg’s uncertainty principle
Planck’s length

5. Extra dimensions visualized
Light travels always one quantized space unit in the size of Planck’s length in each quantized Planck time unit.
This explains the speed of light limitation (in this illustration it means that light travels one rectangle for each Planck
time pulse)

6. Extra dimensions visualized
When Bob and Alice travel at different velocities the grid dimension divides the fabric of space time into
Two staggered quantized parallel worlds .in this illustration the black rectangles represent Alice world
and the white rectangles represent Bob’s world and the grid dimension defines between them .
Each world has a different perspective regarding space and time as defined by Einstein’s special relativity.
Bob can not see directly the black rectangle world and Alice cannot see directly the white rectangle world.
They are reflected to each other through the grid dimensions based on the special relativity transformations .

7. Summary
• Assume that the fabric of space is quantized to units in the magnitude of Planck’s length in each dimension
• Assume that between these quantized units of space there is a non local grid like extra dimension (or dimensions)
• The non local grid like dimensions represent the extra dimensions needed to explain the quantum entangled nature
of the fabric of space (“spooky action at a distance “ – Albert Einstein , EPR paradox)
Eran Sinbar
eyoran2016@gmail.com