**11. References**

30 Measurement Systems

Commensurate with the chapter of local interactive measurements, similar predictions can be

**Prediction 1:** Left distributions have relationships showing polarized vertical behaviors with

**Prediction 2:** Right distributions have relationships showing polarized horizontal behaviors

**Prediction 3:** D-P distributions have relationships showing classical particle statistical

**Prediction 4:** D-W distributions have relationships showing wave interference statistical

**Prediction 5:** Afshar's experiments are a special case of the EPR model in real photon

**Prediction 6:** Distributions on conditional environments provide essential evidence to

Presented in relation to milestones in the historical debate underpinning the foundations of

**Conjecture 2.** EPR construction is a super-powerful model to support different measurements

**Conjecture 3.** The variant construction provides a logical measurement based foundation to

**Conjecture 4.** The next generation of fundamental development in QM will grow out of

Long held views on the wave/particle enigma, especially those investigated through single photon experiments may be founded on a special case rather than a general explanation.

further theoretical and experimental exploration based on variant construction.

**Conjecture 1.** Einstein may be declared the winner in the Bohr-Einstein debates on QM.

�*ψ*1, *ψ*2, *σ*1, *σ*2� → �{*v*+}, {*v*1}, {*PH*(*v*1|*J*)}, {*PH*(*v*0|*J*)}�. (21)

Using quaternion structures,

experimental environments.

and simulations of quantum behaviors.

**8.2 Conjectures**

**9. Conclusion**

QM:

**8. Main results**

**8.1 Predictions**

Presented as predictions and conjectures:

described under conditional probability conditions:

intrinsic wave properties on conditional environments.

with intrinsic wave properties on conditional environments.

behaviors with intrinsic wave properties on conditional environments.

behaviors with strong wave properties on conditional environments.

support the simulation and visualization of quantum behaviors.

support a series of experimental results on quanta self-interference properties.

All Afshar's experiments are a special case of the EPR model.


**0**

**18**

<sup>1</sup>*Yunnan University* <sup>2</sup>*University of Melbourne* <sup>3</sup>*University of Tokyo*

> <sup>1</sup>*P.R. China* <sup>2</sup>*Australia* <sup>3</sup>*Japan*

**From Local Interactive Measurements to Global Matrix Representations on Variant Construction**

Right from the introduction of Plank's modern quantum concept, measurement effects have played a central role in both theoretical and experimental considerations [Jammer (1974)]. Einstein (1916) photon effects favor a particle based explanation. de Broglie (1923) proposed wave and particle duality. Heisenberg proposed a matrix approach to handling complex operations based on spectra measurements. Schrödinger established a wave equation for quantum construction extending de Broglie's schemes. von Neumann (1932,1996)'s contribution placed quantum mechanics in Hilbert space to establish a solid mathematical foundation for modern quantum mechanics. Despite developments in the quantum approach spanning more than a century, fundamental measurement problems remain unsolved [Penrose (2004)]. All their lives, Bohr and Einstein engaged in many debates, discussions and arguments trying to reach a common understanding on wave and particle issues [Jammer (1974)]. The EPR (Einstein, Podolsky, Rosen) Paradox [Einstein et al. (1935)] is

Quantum measurement puzzles have been explored by [Feynman (1965); Feynman et al. (1965,1989)]. From the 1940s, Feynman emphasized that: "The entire mystery of quantum mechanics is in the double-slit experiment." This experiment establishes an interactive model that can directly illustrate both classical and quantum interactive results. Under single and double slit conditions, dual visual distributions are shown in particle and wave statistical distributions. Both particle probability and wave interactive interference patterns

are observed [Barnett (2009); Hawking & Mlodinow (2010); Healey et al. (1998)].

**1. Introduction**

**1.1 Wave and particle duality in quantum measurements**

said to have given Bohr many sleepless nights [Bohr (1935; 1949)].

**1.2 Criteria conditions and modern experiments**

**– A Particle Model of Quantum Interactions**

**for Double Path Experiments**

Jeffrey Zheng1, Christian Zheng2 and T.L. Kunii<sup>3</sup>

	- URL: *http://www.scienpress.com/upload/JCM/Vol%201\_1\_6.pdf*
