The science of Minority Report is explained by the concept of the fundamental forces of nature and the true nature of human consciousness. In the laws of physics, there are four known fundamental forces: the electromagnetic force, the weak nuclear force, the strong nuclear force, and gravity. There also exist a fifth force, a quantum potential force field that pervades all space. This force acts on us at all times. It acts on every particle in every atom in our bodies. And on every particle in every atom in everything else in the universe. It surrounds us and penetrates us; it binds the universe together.
The odd effects of quantum entanglements arise because every particle is accompanied and governed by a wave in this quantum potential field. This quantum potential wave is part of a physical force field, like a gravitational field, that affects the course of particles. This force does not decrease with distance, unlike other forces. Entangled particles are projections of single higher-dimensional reality governed by the quantum potential force. A single quantum potential wave can control two entangled particles, no matter how far apart they go. So the quantum potential force violates both locality and independence. The quantum potential field conveys any change instantaneously over all of space because it carries information about the whole universe.
Simply put, the quantum potential field is a continuous field throughout the universe that acts instantaneously throughout the universe. It is not created by or concentrated around matter, unlike other forces. Although the quantum potential force guides particles, it is not generated by them. Unlike the other forces, the quantum potential has no known physical source.
Because the quantum potential force permeates all space and is not affected by distance, it in essence entangles or interconnects all particles. The universe is not a collection of objects, but a web of vibrating interconnected patterns governed by this quantum potential force. Just as space and time are interconnected as part of a space-time continuum, everything is connected as part of a single continuum. The entire universe is one single, complex entity. The whole universe is enfolded in everything and each thing is enfolded in the whole; and it is the quantum potential force that controls and connects all things.
The emergent property of human consciousness is not only one piece of the unified universe, it is actually an expression of the fifth force during its interconnection with the quantum structures of the complex neurons of the human brain. Thus, the human mind is in fact a projection of the unifying force of the universe and therefore has an omnipresent and universal aspect that can be labeled the "metaconscious mind". Most people are neurologically incapable of casually perceiving the metaconscious. However, occasionally the metaconscious and the subconscious might interact with each other, which explains the rare clairvoyant intuition that some people every once and a while have.
The precogs possess an abnormal brain chemistry, neural configuration, and neuroelectrical activity. These mutations have caused the subconscious and metaconscious of the precogs to become permanently interconnected in an extraordinary way that enables them to tap into and consciously perceive the quantum potential field on a broad level. As a result, the precogs can perceive through the seemingly chaotic physical universe to the true order and nature enfolded in the universe. On a subconscious level, they observe this order and are a part of it. They are connected to all things and are unconsciously aware of literally everything in the universe, right down to the position and velocity of every particle in the universe at any given moment, enabling their subconscious mind to accurately predict their probable future interactions. In layman's terms, because the precogs have information about everything in the universe their subconscious can logically deduce actions that are nearly 100 percent certain to happen. However, it is only within a ninety-six hour span. This means a precog's subconscious can determine the future history of the world for up to four days to come. The precog mind can store this much information because along with the neuronal, the metaconscious mind also works on a quantum scale that extends beyond the mere organic.
The reason a precog sees murder and not rapes, or assaults, or suicides is because there is nothing more destructive to the metaphysical fabric that binds us than the untimely murder of one human being by another. This is an instinctive knowledge within the human psyche. It is so strong that murders that will occur within 200 miles of the precog will be picked up by his or her conscious mind and manifested in the form of extraordinarily detailed dreams.
Although the Heisenberg uncertainty principle accerts that it is impossible to look at a subatomic particle and know both where it is and where it's going at the same time with exactly 100 percent accuracy, the precog subconscious still calculates probabilities to a 99.999 percent level of likelihood. The 0.001 probability is only actualized by the Precrime Officers and if they don't prevent the murder, the 99.999 probability will for certain be actualized as 100 percent.