Every route into the research.

Start here

Geometry & physics

1. Geometry shapes interactions
2. The spacetime metric
3. General relativity as a benchmark
4. Geodesics and physical travel
5. Curvature and stress-energy
6. The equivalence principle
7. Noether: symmetry and conservation
8. Energy, momentum and force
9. Mass–energy equivalence
10. Fields and boundaries
11. The Casimir effect
12. Casimir energy: close the cycle
13. Scale invariance and its limits
14. Renormalization and effective descriptions
15. Dimensional analysis: compare fairly
16. Fractal dimension and finite scale ranges
17. Quantum fields and effective theories
18. Entanglement without instant signaling
19. Could spacetime emerge?
20. Holography and geometric information
21. Causal structure and reachable events
22. Wormholes: solutions and feasibility
23. Quantum energy inequalities
24. Momentum and propulsion
25. Could geometry be more fundamental?

Cosmos & scale

1. Earth in context
2. The solar system: size, boundaries, motion
3. The Milky Way: a structured galaxy
4. The Local Group: hierarchy without self-similarity
5. The cosmic web: structure from gravitational growth
6. The observable universe is a horizon, not a container
7. Expansion does not require a center
8. The Hubble relation: a measurable expansion trend
9. The cosmic microwave background: an early-universe record
10. Cosmic isotropy: testing preferred directions
11. Does the universe rotate?
12. Large-scale homogeneity and the limits of a cosmic fractal
13. Galaxy spin: angular momentum has a local history
14. Spirals: shared shapes, different mechanisms
15. Dark matter: a problem any new geometry must address
16. Dark energy: acceleration and an unresolved mechanism
17. Inflation: early expansion, testable model families
18. Multiverse proposals: several ideas, different tests
19. Nested universes: defining what inside means
20. Alpha 1: Hill’s proposed parent system
21. The center of Alpha 1: location or coordinate choice?
22. The Alpha 1 spiral: a geometric proposal to formalize
23. Cross-scale similarity: from resemblance to a test
24. Cosmic topology: shape, connectivity, and the unknown whole
25. Making a cosmic hypothesis answerable to evidence

Information & adaptation

1. Information needs a physical carrier
2. Shannon entropy: how uncertain is the outcome?
3. The Landauer limit: the cost of resetting a bit
4. Thermodynamic entropy: states, heat, and probability
5. Why records point toward the past
6. Systems sustained by flows
7. Patterns without a central designer
8. Can driving favor useful configurations?
9. How matter records its history
10. When the path matters
11. What survives when a system changes form?
12. Energy and information are related, not interchangeable
13. Adaptation in living populations
14. DNA: a physical record, not a cosmic instruction sheet
15. Memory in brains: structure, activity, and recall
16. Prediction as a model of perception
17. Change, memory, adaptation, and learning
18. Matter that changes how it performs a task
19. Measuring what one variable tells us about another
20. When a record actually changes what happens
21. Conscious experience and physical explanation
22. Comparing theories without declaring a premature winner
23. A quantum observer is a physical interaction
24. Hill hypothesis: a shared organizing blueprint
25. Hill hypothesis: reality as a nested adaptive system

Tests & research methods

1. A research program that can change its mind
2. The hypothesis register
3. Define what the instrument can observe
4. What would count against the hypothesis?
5. Build a baseline that is difficult to beat
6. Dimensional consistency and comparable scales
7. Uncertainty is part of the result
8. Update beliefs with explicit models
9. Compare explanations on unseen data
10. Test a power law before naming a universal pattern
11. Read log plots without being misled
12. Measure occupied boxes across scale
13. Estimate structure from pairwise distances
14. A finite window can manufacture a pattern
15. Ask what should stay the same
16. A controlled benchmark for physical memory
17. Distinguish response, adaptation and learning
18. A benchmark where geometry predicts modes
19. Account for the whole energy boundary
20. A force claim needs an artifact model
21. Write the decision rule before seeing the answer
22. Make the result runnable by another researcher
23. Trace every conclusion back to its inputs
24. Grade the relationship between evidence and claim
25. The questions that would move the project forward