Quantum physics uses a parameter space that is curved. It is possible to cure this situation by converting the quantum state functions to distributions that have a flat parameter space.
Let ψ(q) be a quaternionic probability amplitude distribution (QPAD). ψ(q) can be used as a quantum state function of a particle. It can affect its own parameter space. It does that when it couples to a second QPAD. That is why its parameter space is curved.
All quantum state functions share the affine versions of their parameter space. In the HBM this space is called "Palestra". The curvature of the Palestra is defined by a continuous quaternionic distribution ℘(x), which has a flat parameter space that is spanned by the quaternions. It connects a location in the Palestra to each location in its own (flat) parameter space.
Let Φ(x)= ψ(℘(x)) define the flat quaternionic probability amplitude distribution (FQPAD) that corresponds to ψ(q).
Φ(x) is also a quantum state function, but it has a flat parameter space. It is no longer a QPAD. It does not affect its parameter space like ψ(q) can do.
Φ(x)= ψ(℘(x)) unifies regular quantum physics with gravitation theory.
It converts "curved" quantum physics to "flat" quantum physics.
The distance function ℘(x) enables the specification of a "quaternionic GR". Its (full) derivative defines a quaternionic metric.
Note: the existence of black holes indicates that the distance function has no inverse. However, outside these singular locations it can have a local inverse.
It appears that quantum physics uses a flat kind of derivative in which partial derivatives that concern the functions values that belong to other quaternionic dimensions are ignored. This makes that in quantum mechanics the quaternionic nabla ∇ makes sense and the differential ∇f can be written as a product of two quaternionic objects ∇ and f of which the nabla ∇ is the operator.
In gravitation theory the full quaternionic differential df must be used. This differential concerns all sixteen partial derivatives of the quaternionic distribution f. In the HBM the full differential is used in the definition of the quaternionic metric d℘(x).
For more details see:
- PHYSICAL SCIENCES
- EARTH SCIENCES
- LIFE SCIENCES
- SOCIAL SCIENCES
Subscribe to the newsletter
Stay in touch with the scientific world!
Know Science And Want To Write?
- Thinking 'I Can Do Better' Really Can Improve Performance, Study Finds
- Brain Cancer: Why Glioblastoma Is So Difficult To Treat
- Some Celiac Disease May Be Due To Viruses
- Benign Bacteria Block Mosquitoes From Transmitting Zika, Chikungunya Viruses
- Bewildering Dune Formation On Mars
- Little To No Association Between Butter Consumption And Chronic Disease Or Total Mortality
- Can A New Rule Trigger A Second EU Referendum? Petition 4 Millon Signatures, Nearly 12% Of Total Votes Cast
- "Eugenics tends to be a toxic conversation stopper, primarily because of the poisonous political..."
- "Are you proposing pseudo-positive/negative eugenics? As my boss always says, don't point out a..."
- " Media Silent as Concealed Carrier Stops Mass Shooting in Progress at a South Carolina Nightclub..."
- "Thank you for your support - but since the comment you refer to was advocating the shutting down..."
- "Instead of ND, substitute DD, and you have a whole other basket of charlatans - and that comment..."
- The Relationship Between Alcohol and Happiness
- Psst…NRDC Stoners: Your Endocrines Are Disrupted
- College Kids Mostly Blow Off Food-Label Use, Study Finds
- Blue Birds Aren’t Blue, and This is How They Fool You
- ‘Vaxxed’: The Film That No One Saw
- Vice President Joe Biden Threatens the Scientific Community
- Consensus statement: Environmental toxins hurt brain development, action needed
- New anti-cancer strategy mobilizes both innate and adaptive immune response
- Aging population is growing ranks of cancer survivors
- UK government should fund media campaigns that promote quitting, not films that promote smoking
- Report: A host of common chemicals endanger child brain development