0x84BB0001 Error when installing SQL Server 2012. Could not create a handshake

Question

I have hopelessly attempted to install SQL server 2012 onto my 64 bit Windows 8 machine. The database engine always fails to install with error 0x84BB0001. Native reporting also fails, I reckon from the same issue.

Any help would be appreciated - my summary file is below.

Detailed results: Feature: Management Tools - Complete Status: Passed

Feature: Client Tools Connectivity Status:
Passed

Feature: Client Tools Backwards Compatibility Status: Passed

Feature: Management Tools - Basic Status:
Passed

Feature: SQL Server Data Tools Status:
Passed

Feature: Reporting Services - Native Status: Failed: see logs for details Reason for failure: An error occurred for a dependency of the feature causing the setup process for the feature to fail. Next Step: Use the following information to resolve the error, uninstall this feature, and then run the setup process again. Component name:
SQL Server Database Engine Services Instance Features Component error code: 0x84BB0001 Error description: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: SSL Provider, error: 0 - The certificate chain was issued by an authority that is not trusted.) Error help link:
http://go.microsoft.com/fwlink?LinkId=20476&ProdName=Microsoft+SQL+Server&EvtSrc=setup.rll&EvtID=50000&ProdVer=11.0.3000.0&EvtType=0xBA6E21AA%400x9A41B222&EvtType=0xBA6E21AA%400x9A41B222

Feature: Database Engine Services Status:
Failed: see logs for details Reason for failure: An error occurred during the setup process of the feature. Next Step:
Use the following information to resolve the error, uninstall this feature, and then run the setup process again. Component name:
SQL Server Database Engine Services Instance Features Component error code: 0x84BB0001 Error description: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: SSL Provider, error: 0 - The certificate chain was issued by an authority that is not trusted.) Error help link:
http://go.microsoft.com/fwlink?LinkId=20476&ProdName=Microsoft+SQL+Server&EvtSrc=setup.rll&EvtID=50000&ProdVer=11.0.3000.0&EvtType=0xBA6E21AA%400x9A41B222&EvtType=0xBA6E21AA%400x9A41B222

Feature: Data Quality Services Status:
Failed: see logs for details Reason for failure: An error occurred for a dependency of the feature causing the setup process for the feature to fail. Next Step: Use the following information to resolve the error, uninstall this feature, and then run the setup process again. Component name:
SQL Server Database Engine Services Instance Features Component error code: 0x84BB0001 Error description: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: SSL Provider, error: 0 - The certificate chain was issued by an authority that is not trusted.)

Feature: Full-Text and Semantic Extractions for Search Status: Failed: see logs for details Reason for failure: An error occurred for a dependency of the feature causing the setup process for the feature to fail. Next Step: Use the following information to resolve the error, uninstall this feature, and then run the setup process again. Component name: SQL Server Database Engine Services Instance Features Component error code:
0x84BB0001 Error description: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: SSL Provider, error: 0 - The certificate chain was issued by an authority that is not trusted.)

Feature: SQL Server Replication Status:
Failed: see logs for details Reason for failure: An error occurred for a dependency of the feature causing the setup process for the feature to fail. Next Step: Use the following information to resolve the error, uninstall this feature, and then run the setup process again. Component name:
SQL Server Database Engine Services Instance Features Component error code: 0x84BB0001 Error description: A connection was successfully established with the server, but then an error occurred during the pre-login handshake. (provider: SSL Provider, error: 0 - The certificate chain was issued by an authority that is not trusted.)

Feature: Integration Services Status:
Passed

Feature: Data Quality Client Status:
Passed

Feature: Analysis Services Status:
Passed

Feature: SQL Browser Status:
Passed

Feature: Documentation Components Status:
Passed

Feature: SQL Writer Status:
Passed

Feature: SQL Client Connectivity Status:
Passed

Feature: SQL Client Connectivity SDK Status: Passed