It has been observed by the scientists that the central ambiguity of quantum mechanics is that small portions of matter from time to time appear to act like particles, at times like waves. For most of the past century, the widespread explanation of this conundrum has been what’s called the “Copenhagen interpretation” which believes the fact that, in some sense, a sole particle in fact is a wave soiled out athwart the earth that disintegrated into a determinate place.

An alternative elucidation, known as “pilot-wave theory,” which posits that quantum particles are borne beside some specific type of wave, according to some founders of quantum physics particularly Louis de Broglie. The pilot-wave theory stated that, the particles have specific routes, though since of the pilot wave’s sway, they still demonstrate wavelike statistics.

The pilot-wave theory be worthy of a second look, John Bush, a professor of applied mathematics at MIT, believes. It’s just because Yves Couder, Emmanuel Fort and colleagues at the Univ. of Paris Diderot, who have lately revealed a macroscopic pilot-wave system whose statistical behavior, in certain conditions, reminds that of quantum systems.

Certainly, the system developed by Couder and Fort’s consists of a bath of liquid quivering at a rate just below the threshold at which waves would begin to form on its facade. A droplet of the same liquid is out above the bath; where it strikes the facade, it causes waves to emit outward. The droplet then begins moving crossways the bath, pushed by the very waves it generates.

Bush says, “This system is undoubtedly quantitatively different from quantum mechanics. He further stated that, it is also qualitatively different: there are some features of quantum mechanics that we can’t imprison, some features of this system that we know aren’t present in quantum mechanics. Although are they philosophically distinct?”

**Tracking Trajectories**

The Copenhagen explanation sidesteps the technical challenge of scheming particles’ trajectories by refuting that they subsist, Bush says. He further added “The key question is whether a real quantum dynamics, of the general form suggested by de Broglie and the walking drops, might underlie quantum statistics”. “Whereas certainly composite, it would put back the theoretical vagaries of quantum mechanics with a tangible dynamical theory.”

Last year, Bush and Jan Molacek (one of Bush’s students – now at the Max Planck Institute for Dynamics and Self-Organization) did for their system what the quantum leads the way couldn’t do for theirs: they derived an equation relating the dynamics of the pilot waves to the particles’ trajectories. Bush and Molacek had two advantages over the quantum pioneers in their work, Bush stated.

At First, in the fluidic system, both the vigorous droplet along with its guiding wave is clearly evident. If the droplet bypasses from a slot in a barrier as it does in the re-creation of a canonical quantum experiment then the researchers can precisely find out its place. The only way to carry out a dimension on an atomic-scale particle is to hit it with another particle, which eventually changes its velocity.

When it comes to the second improvement, it believes to be comparatively recent growth of chaos theory. The chaos theory holds that many macroscopic physical systems are so sensitive to initial conditions that, even though they can be described by a deterministic theory, they evolve in unpredictable ways, pioneered by MIT’s Edward Lorenz in the 1960s. For example, a weather-system model may yield totally different results if the wind speed at a specific place at a specific time is 10.01 mph or 10.02 mph.

Furthermore, it is also believed that the fluidic pilot-wave system is chaotic too. It’s not possible to measure a vigorous droplet’s place correctly enough to forecast its trajectory very far into the future. However, Bush, MIT professor of applied mathematics Ruben Rosales, and graduate students Anand Oza and Dan Harris in a recent series of papers, applied their pilot-wave theory to demonstrate how chaotic pilot-wave dynamics leads to the quantum-like statistics seemed in their experiments.

**The Real Story:**

Bush discovers the link between Couder’s fluidic system and the quantum pilot-wave theories anticipated by de Broglie and others, stated in a review article appearing in the Annual Review of Fluid Mechanics.

According to the Copenhagen interpretation, it is basically the claim that in the quantum monarchy, there is no explanation deeper than the statistical one. He further said that when a measurement is made on a quantum particle, and the wave form crumples, the originated condition of the particle is totally random. The statistics don’t just explain the reality; they are the reality, Copenhagen interpretation says.

However in spite of the dominance of the Copenhagen interpretation, the perception that physical objects, no matter how small, can be in only one location at a time has been hard for physicists to quiver. Albert Einstein, who notably suspicions that God, plays dice with the universe, worked for a time on what he called a “ghost wave” theory of quantum mechanics which was believed to be an elaboration of de Broglie’s theory. The Nobel Prize lecture held in 1976, Murray Gell-Mann stated that Niels Bohr, the main exponent of the Copenhagen interpretation, “brainwashed an entire generation of physicists into believing that the problem had been solved.” John Bell, the Irish physicist whose famous theorem is often mistakenly taken to repudiate all “hidden-variable” accounts of quantum mechanics, was, in fact, himself a proponent of pilot-wave theory. He further added, “It is a great mystery to me that it was so soundly ignored.”

After that, there’s another physicist named as David Griffiths who’s “Introduction to Quantum Mechanics” is standard in the field. Griffiths says that the Copenhagen interpretation “has stood the test of time and emerged unscathed from every experimental challenge,” in that book’s afterword. Nevertheless, he finds, “It is entirely possible that future generations will look back, from the vantage point of a more sophisticated theory, and wonder how we could have been so gullible.”

Keith Moffatt, a professor emeritus of mathematical physics at Cambridge Univ says “The work of Yves Couder and the related work of John Bush offer the opportunity of understanding previously incomprehensible quantum phenomena, involving ‘wave-particle duality,’ in purely classical terms. I think the work is brilliant, one of the most exciting developments in fluid mechanics of the current century.”