# Vacuum Landscaping: Cause of Nonlocal Influences without Signaling

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## Abstract

**:**

## 1. Introduction: Quantum Mechanics without Wavefunctions

## 2. The Two-Momenta Approach to Emergent Quantum Mechanics

## 3. Derivation of the De Broglie–Bohm Guiding Equation for N Particles

## 4. Vacuum Landscaping: Cause of Nonlocal Influences without Signaling

## 5. Conclusions and Outlook

## Author Contributions

## Acknowledgments

## Conflicts of Interest

## References

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**Figure 1.**Scheme of interference at a double-slit. Considering an incoming beam of electrons with wave number $\mathbf{k}$ impinging on a wall with two slits, two beams with wave numbers ${\mathbf{k}}_{A}$ and ${\mathbf{k}}_{B}$, respectively, are created, which one may denote as “pre-determined” velocities ${\mathbf{v}}_{\alpha}=\frac{1}{m}\hslash {\mathbf{k}}_{\alpha},\phantom{\rule{0.222222em}{0ex}}\alpha =\mathrm{A}\phantom{\rule{0.222222em}{0ex}}\mathrm{or}\phantom{\rule{0.222222em}{0ex}}\mathrm{B}.$ Taking into account the influences of the osmotic momentum field $m\mathbf{u}$, one has to combine all the velocities/momenta at a given point in space and time in order to compute the resulting, or emergent, velocity/momentum field ${\mathbf{v}}_{i}=\frac{1}{m}\hslash {\kappa}_{i},\phantom{\rule{0.222222em}{0ex}}i=1\phantom{\rule{0.222222em}{0ex}}\mathrm{or}\phantom{\rule{0.222222em}{0ex}}2$. This, then, provides the correct intensity distributions and average trajectories (lower plane).

**Figure 2.**Classical computer simulation of the interference pattern: intensity distribution with increasing intensity from white through yellow and orange, with trajectories (red) for two Gaussian slits, and with large dispersion (evolution from bottom to top; ${v}_{x,1}={v}_{x,2}=0$). From [16].

**Figure 3.**Classical computer simulation of the interference pattern: intensity distribution with increasing intensity from white through yellow and orange, with trajectories (red) for two Gaussian slits, and with small dispersion (evolution from bottom to top; ${v}_{x,1}=-{v}_{x,2}$). From [16].

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**MDPI and ACS Style**

Grössing, G.; Fussy, S.; Mesa Pascasio, J.; Schwabl, H.
Vacuum Landscaping: Cause of Nonlocal Influences without Signaling. *Entropy* **2018**, *20*, 458.
https://doi.org/10.3390/e20060458

**AMA Style**

Grössing G, Fussy S, Mesa Pascasio J, Schwabl H.
Vacuum Landscaping: Cause of Nonlocal Influences without Signaling. *Entropy*. 2018; 20(6):458.
https://doi.org/10.3390/e20060458

**Chicago/Turabian Style**

Grössing, Gerhard, Siegfried Fussy, Johannes Mesa Pascasio, and Herbert Schwabl.
2018. "Vacuum Landscaping: Cause of Nonlocal Influences without Signaling" *Entropy* 20, no. 6: 458.
https://doi.org/10.3390/e20060458