Solution for Side Chain POW with no hashing.

The simplicity of Proof of Work has been that it is hard to accomplish the work but easy to prove that it has been done.

Primecoin solved this for Prime calculations; Hard to Find but easy to prove that you have actually found something interesting, but not all things are this easy to do.

Most work done today, always requires Supervisors, Managers that have moved up the ranks by proving their skills at lower levels of an organization to monitor the quality of work done. This type of work is always plagued by incompetent staff that have to be replaced, or inconsistent members that provide impressive work when submitted; It is a game of Post Analysis corrections, there is no Just in Time Proof of Work, and no potential without Trust of achieving a Ahead of Time POW.

Anything at the cutting edge of Science is in a particular dilemma since this type of work has no known parameters to Qualify the solutions submitted, it is always a long drawn out process of Hypothesis Proving and Consensus Building among a enormous cadre of Scientists and Engineers integrating it's methods and repeating experiments till they are flawless... not exactly simple to accomplish.

We are dealing with Probabilities, with Inexact Variables and Unexpected outcomes: ie. How do you convince a Person, Machine or Computer that Quantum Leaps made by Electrons, which would be like you or me jumping instantaneously to another Solar System, are Truly Possible?
An observer, a trusted entity, would be required at the moment of Causation of the event to Prove it has been Accomplished.
This would require a tremendous leap to accomplish without Trust, One would need to Predict the Future and be there to witness the event unfold, but this would have to be done as a Group Consciousness to accomplish instantaneously; A million Direct Observers acting as One Simultaneously Ahead of Time.

This can only be acquired by setting the right parameters.

1: Broad Scope of Observation
2: Verified Sensors
3: Multiple Observation Points through Space and Time
4: Varied Resolution Algorithms to pinpoint Possible POW Solutions
5: Post Analysis Verification and Extrapolation
6: Evolutionary Algorithm adaptation of Sensors, POW, and Equipment Calibration
7: uncensorable Open Information at all levels of Deployment

An example of this would be a Proof of Work with 100 algorithms proving work done; Any and All solutions are applied at all times. This is naturally being evolved by the Cryptocurrency movement but,... I wish to accelerate this for scientific work loads.

This would be like observing a Forest Ecosystem; To observe it properly we would have to monitor Temperature, Water Quality, Air Quality, Organism health, Seasonal changes, Weather, Soil samples, meta-observation, and a myriad of other Observations. The Sensors themselves would be quite simple, but the complexity comes from observing all levels of change and extrapolating this information to develop predictive models that would either prove or disprove a solution. If a solution is successful then those who participated in that line of thought would be rewarded with Tokens/Coins/Shares. This is a Proof of Work using Reality to resolve the solution, it's like rewarding someone not for finding a hash, but figuring out exactly who will find that hash among those working to solve it.
The question relevant to this proof of work would be multistage: someone involved in Fungal Analysis gets rewarded for predicting it's development, another involved in weather prediction gets rewarded for successful results, Those involved in sensor fault analysis get tokens for predicting failure; and those analyzing the entire system and successfully predicting it's future state get the most reward since that is the culmination of all the other Sub-POW algorithms, even the equipment manufacturers get rewarded for good effective designs that prove the models.

Yes, a Proof of Work Hierarchy Web: It copies the same structures used in our society and rewards successful Evolution of that Hierarchy.
It does use the foundation of the Bitcoin Hashing structure, but no need for a central authority to distribute the coins like in Devcoin or Curecoin anymore.

A Billion Minds Blossoming into the Future.