A New Approach to Generalised Uncertainty Relations

Understand

We outline a new model in which generalised uncertainty relations are obtained without modified commutation relations.

• While existing models introduce modified phase space volumes for the canonical degrees of freedom, we introduce new degrees of freedom for the background geometry.
• The phase space is therefore enlarged but remains Euclidean.
• The spatial background is treated as a genuinely quantum object, with an associated state vector, and the model naturally gives rise to the extended generalised uncertainty principle (EGUP).