Future    Research

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I n d e x

1. Mathematics.  =>
   1.1. Tasks.  =>
   1.2. Commutative  algorithmically  unsolvable  problems..  =>
   1.3. Algorithmically  unbreakable  ciphers..  =>
   1.4. Error  probability  problem.  =>
2. Physics.  =>
3. Chemistry.  =>
4. Medicine.  =>


   The HomoTechnologies project is currently at the very beginning of its journey. Many tasks remain to be addressed across a wide range of fields—spanning science, technology, and individual practice. Most of these tasks are interconnected; therefore, they must be tackled as a unified, integrated whole.


1. Mathematics.

   Mathematical research lies at the core of the "HomoTechnologies" project.


1.1. Tasks.

   We currently face the following tasks that must be addressed:
- Investigation of commutative classes of algorithmically unsolvable problems.
- Algorithmically unbreakable ciphers.
- Error probability problem.


1.2. Commutative  algorithmically  unsolvable  problems.

   Algorithmically unsolvable problems constitute the cornerstone of the Homotechnology project. However, we are interested in a specific class of algorithmically unsolvable problems—commutative algorithmically unsolvable problems.
   - Do commutative algorithmically unsolvable problems constitute a countable set? We hypothesize that they do, but this requires proof.
   - Investigate the group-theoretic properties of the set of commutative algorithmically unsolvable problems.
   - Identify the maximum possible number of such problems.
We hypothesize that nature utilizes all manner of problems; therefore, every new problem has the potential to manifest in some physical effect.
   - Investigate commutative algorithmically unsolvable problems for commutative compatibility.


1.3. Algorithmically  unbreakable  ciphers.

   Show that
   - Any cipher that can be broken can be represented as a three-dimensional smooth manifold.
   - Any message that can be represented as a three-dimensional smooth manifold can be broken.


1.4. Error  probability  problem.

   

2. Physics.

   


3. Chemistry.

   Chemists currently face the following tasks:
   1. To determine the chemical formula and crystal structure of the red and white projection powders. These will likely turn out to be substances already known to medicine and chemistry.
   2. To synthesize the projection powders. To investigate the anomalous properties of the synthetic projection powders. Most likely, they will not possess any anomalous properties. However, synthetic projection powders might (and this is what we are counting on):
   - Serve as the optimal substances to which the Projection Powders produced within the human body transfer their anomalous properties.
   - The ingestion of synthetic projection powders may stimulate the human body to produce its own Projection Powders.

   Of course, it would also be tempting to understand how natural Projection Powders differ from their synthetic counterparts—specifically, why natural Projection Powders exhibit anomalous properties that are absent in the synthetic ones. However, we do not place high hopes on achieving this, as we think that, at present, our scientific understanding and capabilities are not yet sufficiently advanced to resolve this critical challenge.


4. Medicine.

   



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