Unifying Quantum and Relativistic Theories

Is the solution to a Theory of Everything in the answer

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or is the answer in the solution.

The answer may seem obvious to many however, in science, one must be careful to look both ways.

If one defines science only as a predictor of what we observe then the solution is in the answer however, if one defines its purpose as understanding why we observe what we do, the answer is in the solution.
Advocates of quantum theory believe that the solution is in the answer because its entire theoretical structure is developed by defining solutions directly from experimental observations or “answers”.  This ends justifies the means philosophy of science is valid because it can be used to make very accurate and verifiable predictions regarding the observable properties of mass and energy.

On the other hand, advocates of Einstein’s Theories feel that the answer is in the solution because its theoretical structure is developed from an understanding of a space-time-metric and then applying that understanding to make very accurate and verifiable predictions of the observable world. 

This mechanistic philosophy of science is just as valid as the ends justify the means philosophy because they both make very accurate prediction of the worlds they describe.

However, these theories do not appear to be physically connected because Quantum theories are based on the premise that the universe is made up of discrete discontinuous components while Einstein’s are based on a one which is composed of the continuous properties of a space-time metric.  Therefore, it does not appear to be possible to physically connect them or define a “Theory of Everything” because the universe cannot be both continuous and discontinuous at the same time.

This is true even though they are physically link in terms of a common substance called mass.

Quantum theories mathematically define mass and its particle properties in terms of discrete units based directly on experimental observations or “answers”.

While Einstein’s theories define mass based on the “solutions” of continuous property of a space-time metric, which means that mass should also have the continuous properties associated with that continuous metric.

But the fact both Quantum and Relativistic theories share mass as common element indicates that they are physically connected.

Most scientists have focused on trying to integrate the “solutions” of Einstein theories into the discontinuous “answers” of quantum theories to develop a “Theory of Everything”.  Many of them do so because Quantum theories can explain and predict a wider range of observations regarding properties of mass and energy than Relativistic Theories it must be the fundamental component of the solution.

However, as mentioned earlier these theories share mass as a common element.  Relativity defines it in terms of the solution of a continuous space-time metric.  Therefore, it cannot be a subset of quantum mechanics because by definition a continuous medium cannot be composed of discreet components.  But the quantum or discrete properties of energy/mass, which Quantum Theory defines by experimental observations or “answers”, can be a subset of a continuous space-time metric because a continuous medium can be broken up into the discreet components that Quantum Theory uses to find the “answer.”

Therefore, the answer to defining a “Theory of Everything” may be in the “solution of a continuous medium” and not in the “answers” defined by quantum mechanics.

Later Jeff

Copyright Jeffrey O’Callaghan 2007

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